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A1 11 00985284 Wolcott, Norman M/A contribution to comp QC100 .U57 V424;1976 C.I NBS-PUB-C 1976 NBS SPECIAL PUBLICATION 424
U.S. DEPARTMENT OF COMMERCE / National Bureau of Standards
A CONTRIBUTION TO TYPESEHING TECHNIQUES:
1 Tables of Coordinates for
ershey's Repertory of Occidental
Type Fonts and Graphic Symbols NATIONAL BURTEAU OF STANDARDS
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1 Headquarters and Laboratories at Gaithersburg. Maryland, unless otherwise noted; mailing address Washington, D.C. 20234. = Located at Boulder, Colorado 80302. Oy STA-VDASDS! L/T APR 2 0 1976 A CONTRIBUTION Qc/Od TO COMPUTER TYPESETTING TECHNIQUES: Tables of Coordinates for Hershey's Repertory of Occidental Type Fonts and Graphic Symbols Norman M. Wolcott Computer Services Division National Bureau of Standards Washington, D.C. 20234 and Joseph Hilsenrath Office of Standard Reference Data National Bureau of Standards Washington, D.C. 20234 U.S. DEPARTMENT OF COMMERCE, Elliot L. Richardson, SQcr^iQry James A. Baker, III, Under Secretary Dr. Betsy Ancker-Johnson, Assisfant Secreiary for Science and Technology US NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Acfmg Director n I Issued April 1 976 Library of Congress Cataloging in Publication Data Wolcott, Norman M. A Contribution to Computer Typesetting Techniques. (National Bureau of Standards Special Publication; 424) Supt. of Docs. No.: C 13.10:424. 1. Computerized Typesetting—Tables. 2. Computer Output Microfilm Devices. 3. Digital Incremental Plotters. 4. Hershey, Allen Vincent, 1910- I. Hilsenrath, Joseph, joint author. II. Title. III. Series: United States. National Bureau of Stand- ards. Special Publication; 424. QC100.U57 No. 424 [Z253.3] 686.2'544 75-619219 National Bureau of Standards Special Publication 424 Nat. Bur. Stand. (U.S.), Spec. Publ. 424,173 pages (Apr. 1976) CODEN: XNBSAV U.S. GOVERNMENT PRINTING OFFICE WASHINGTON: 1976 For sale by the Superintendent of Documents, U.S. Goveriunent Printing Office Washington, D.C. 20402 - Price $2.90 1 Contents 1. Introduction 1 2. Computer Output on Microfilm 2 3. The Digitized Character Set 4 4. Description of the Hershey Occidental Repertory 4 4.1 The Table of Character Digitizations 5 4.2 The Graphic Character Representations 5 4.3 Indices to Alphabets and Special Symbols 5 4.4 Applications 5 5. Operational Considerations 6 6. Acknowledgements 7 7. References 8 Appendix A - Tables of Character Digitizations A— Appendix B - Graphic Representations of Characters B— Appendix C - Indices to Alphabetics and Special Characters C-1 iii Tables of Coordinates for Hershey's Repertory of Occidental Type Fonts and Graphic Symbols by Norman M. Wolcott Computer Services Division and Joseph Hilsenrath Office of Standard Reference Data These tables present coordinates from which it is possible to generate 1377 different alphabetic and graphic characters on either COM devices or on digital plotters The tables, originally developed by Dr A. V. Hershey of the Naval Weapons Laboratory, are augmented here by corresponding figures which show for each character the location of the tabulated points and the manner in which they are connected The tables can be used with existing typographic systems to compose pages for scientific and mathematical publications of graphic arts quality either on COM devices or flat-bed plotters. Numerous applications are discussed and illustrated The tables are also available on a magnetic tape in either BCD or ASCII format from the National Technical Information Service Keywords: alphabets, COM, computerized typesetting digital plotting, graphics, Hershey character set, plotting, type fonts, typesetting, vectorized characters 1. Introduction So seldom does one find, outside of the mathematical literature, a man's name in the title of a publication that a few words of explanation are in order The tables and illustrations show how to draw, either on cathode ray tubes (CRT) or on x-y plotters, 1377 characters and symbols in such detail as to provide esthetically pleasing, and economically viable alternatives to classical and even more modern methods of "setting type" for technical publications. The wide variety of alphabets and symbols illustrated in this publication can be generated on vector plotters by connecting the points given in these tables. This method of digitizing graphic-arts characters allows them to be generated on any device which can plot vectors of arbitrary length and direction. The tables are used in conjunction with typographic computer programs to drive plotters and COM (Computer Output on Microfilm) devices. The determination of the location and number of points to use in approximating a particular character requires a rare combination of interests and talents For one 1 man to achieve the digitizing of literally thousands of characters requires a large measure of motivation, industry and fortitude - the last in nearly all of its dictionary connotations. Dr. Allen V. Hershey, a mathematical physicist at the U S Naval Weapons Laboratory in Dahlgren. Virginia, carried out the digitization (by hand and eye) of the characters illustrated in this publication. The successful completion of such an ambitious undertaking as this, required a happy mixture of art and science - of alphabets and algorithms, of calligraphy and computing, and of psychology and printing. The reader would be quite correct to assume that the presence of the word occidental in the title of this report implies that oriental alphabets have also been digitized by Dr. Hershey. i* In an NWL report dated 1 August 1967 [l] Dr. Hershey discusses the motivation for and the various considerations involved to achieve adequate digitization of both the occidental and oriental alphabets. In the latter category that report contains an engaging introduction to the origin and characteristics of the modern Japanese characters and contains illustrations of the 600 or so Kanji, the Hiragana, and the Katakana characters which he has digitized. The report concludes with a 30 page lexicon of over 1100 important Japanese words of technical interest. Today there are more automatic techniques for digitizing oriental or even occidental alphabets but these systems normally involve storing much more information per character than is needed in Hershey's method. In subsequent NWL reports dated September 1969 [2], and September 1972 [3], Hershey describes his FORTRAN typographic and cartographic systems which utilize the library of digitized characters to compose finished pages of text, maps and drawings, and mathematical equations. More recently, the FORTRAN typographic system was described in the periodical literature [4] as a "do-it-yourself capability [for] programmers and scientists who would like to do some printing of their own". The extent to which this do-it-yourself system is able to produce high quality graphic-arts mathematical tracts is best exemplified by Dr. Hershey's publications [5, 6, 7, 8] on mathematical subjects which are, actually, his major line of interest and employment. The above cited NWL reports have received limited distribution - too limited, we believe, in view of the present and potential utility of his system. Our contact with numerous groups interested in digitized characters for various purposes has led us to conclude that the publication of the tables of Dr. Hershey's coordinates in this publication would be a public service. 2. Computer Output on Microfilm The proliferation of computers and their burgeoning applications produce literally mountains of paper most of which ends up, after a relatively short space of time, in the wastebasket or in the recycling box. Where programs produce large volumes of output required for archival purposes, such as parts lists, inventory records, or accounting records, etc., microform versions represent more economic, more ecologically desirable, and more physically manageable output media The drive towards microform output of computer results has stimulated the development of a large variety of devices (now referred to as COM) for computer output on microfilm. The output of a COM device is usually on roll film (16mm and/or 35mm) or more recently on 105mm film in the form of microfiche. In any * Numbers in brackets refer to references listed in section 7. 2 case, auxiliary devices are available to make film copies, and to make enlargements on paper or on short-run printing plates These devices are related in design to a whole series of optical phototypesetters and electronic typesetters developed for graphic arts computerized typesetting A state-of-the-art review, of computer-assisted phototypesetting, circa 1967, (NBS Monograph 99) by M. E. Stevens and J. H. Little [9] already contains a description of the General Dynamics S-C 4020 - a precursor to all the modern COM devices. At the time the National Bureau of Standards acquired an S-C 4020 it had already made extensive use of the Linofilm phototypesetter and the Linotron electronic typesetter at the Government Printing Office. Certain obvious advantages of an in-house machine led us to examine the output from this COM device to determine its utility in preparing computer program listings for publications. We found the results from that machine inferior to results achieved on the linofilm phototypesetter using the monowidth typewriter font (Clarinda) as shown in figure 1. Manufacturers of state-of-the-art COM devices can now supply monowidth type fonts capable of producing graphic-arts quality output for program listings and similar material from computer print tapes. While the monowidth characters normally supplied with most of the COM devices are suitable for program listings, they are not adequate for scientific text as shown in figure 2 or mathematical text as shown in figure 3. Such texts can, however, be generated on many of the current COM devices via programs which utilize Hershey's digitized characters discussed and illustrated in this publication. The remarkable versatility of Hershey's system is best exemplified by figures 4 et. seq. The first of these (figure 4) is a page taken from one of Hershey's mathematical works (reference 7). The others represent a miscellany of applications taken either from cited references or produced especially for this report. It should be recognized that the character generation which this publication addresses is only half of what is required to produce the finished pages illustrated. The placement of the characters in their precise location on the page must be handled via suitable typographic programs. Such a suit of programs has indeed been developed by Dr. Hershey and are reported in references 2, 3, and 4. They were indispensible in the preparation of some of the illustrations in this publication. Unless otherwise noted the figures and appendices were produced via the following process: a) Input was supplied via card deck and magnetic tape to the Hershey typographic system resident on the NBS-UNIVAC 1108 computer to produce a driver tape for the FR-80 COM device b) The 35mm film produced by the COM device was run through a microfilm reader-printer to produce full size pages. c) Page numbers were applied by hand and the resulting camera-ready pages were submitted for offset-printing in the usual manner. For the text we did not make use of Hershey's Typographic System. We used only his character digitization and his COM output routines. The line justification was carried out by an existing typography program, developed at NBS by Mrs. Carla Messina, simply by incorporating Hershey's character widths instead of those normally used on the Linotron 1010. The text itself was keyboarded on-line to the Department of Commerce's text editing system via an ASCII coded terminal. The corrected text was dumped on a 3 9-track magnetic tape which was processed on the NBS computer via a new program to produce a tape to drive the COM device. This technique allowed us to take advantage of Hershey's character digitizations, while avoiding the use of punched cards for text and typographic instructions - the latter being quite cumbersome. 3. The Digitized Character Set The starting point for the programmer desiring to produce graphic arts output on CRT devices and plotters is a digitized set of alphabetic and graphic characters. The digitizations should conform to several restrictions: (1) They should be adequate in detail to provide suitable representations of the desired characters; (2) They should not be overly definitive to minimize core requirements on the host computer; and (3) The organization scheme should be flexible so as to allow for modification, replacement, or extension of the character set. It is our view that the vectored digitizations in this report (which were developed by Dr. A. V. Hershey, Naval Weapons Laboratory, Dahlgren, Va.) conform adequately to these requirements. As to whether these vectored characters are capable of graphic arts quality, it is only necessary to refer to figures 4 et. seq. and to the numerous reports (references 5-8) which have been issued using them, to confirm the capability for quality typographic and graphical composition. The core requirement is the availability of the equivalent of 25000 36-bit words which is not excessive for this data base. Characters can be easily omitted, modified, or added to the list so that the core requirement can be tailored to the problem at hand Figure 15 gives some examples of characters which have been generated locally for use with the NBS typographic routines. As indicated above the occidental repertory of digitized characters has been in existence since 1967. Unfortunately at the time it was first presented this prodigious effort did not receive the widespread notice it deserved, possibly because the representations of the characters were of such high quality that the casual reader did not realize that they were computer output and not graphic arts displays. In order to make the digitizations more available and to supply more detailed information on how the characters are generated, the present publication lists the individual character digitizations of the occidental character set and indicates by graphic displays the way in which each character is composed from its digital representation. Needless to say the application of the digitizations is not limited to cathode ray printers. The tables can also be used with other computer driven devices such as digital pen plotters, electrostatic printers, or optical recorders. 4. Description of the Hershey Occidental Repertory There are 1377 characters in the Hershey set, each of which is assigned a number between 1 and 3296 The characters are described as uniplex, duplex, or triplex according to the number of parallel strokes used in the construction of the character. The description as simplex, complex, or gothic, indicates the extent to which the characters contain tapered segments. Three sizes of characters are available: the principal or normal size (21 raster units high, em = 32), the indexical size (13 raster units high, em = 21), and the cartographic size (9 raster units high). The appearance of the various alphabets when drawn at a normal typographic scale IS shown in figure 6. In addition numerous special characters are available. A listing of these and the associated character numbers is found in Appendix C. 4 4.1 The Table of Character Digitizations In the Hershey system, characters are drawn by connecting hnes between successive (x,y) coordinate pairs The coordinates of each character are given in raster coordinates', which are integers ranging from + 49 to -49. The (x.y) coordinates for each character in the occidental repertory are given in Appendix A. A useful quantity is the printer's em, or the distance between the bottoms of two successive lines of close packed text. The em is 32 raster units for characters in the principal size, and 21 raster units for the indexical size. The table in Appendix A is organized in the following way: The first column is the character number, the first pair of numbers separated by colons (;) are the left and right boundaries of the character in raster coordinates, and succeeding pairs of numbers set off by colons denote the (x,y) set for that character. An (x,y) coordinate pair of (-64,0) indicates that the pen is lifted at that point in the character; a coordinate pair of (-64,-64) indicates that the end of the character has been reached. An ASCII tape of the table in Appendix A is available for those desiring the digitizations in machine readable format. It can be obtained from the National Technical Information Service. 4.2 The Graphic Character Representations. Large scale drawings of the characters comprising the table in Appendix A are given in Appendix B. Coordinate pairs are denoted by small circles, and the left and right boundaries of each character (the character width) are denoted by short vertical lines. The character number is located in the upper left hand corner, and the origin of coordinates for each character is located at the center of each display. It should be noted that in the displays a right handed coordinate system is used in which the +x axis is toward the right and the +y axis is toward the bottom of the page. This is in accord with the normal printing convention in which distance down the page is considered positive. 4.3 Indices to Alphabets and Special Symbols. The names of the characters and symbols that can be generated from the tables in Appendix A are listed in Appendix C together with the numbers assigned to them in the Hershey system. It should be noted where alphabets are concerned, the table lists only the number for the first letter. Numbers for the rest of the alphabet follow in succession. 4.4 Applications. The original application of the digitizations was for use with the Hershey Typographic System. Figures 4 through 10 show some samples generated using the character set in conjunction with the Typographic System. Among these are examples from Dr. Hershey's own mathematical publications (figure 4), a mathematical manuscript in German (figure 9), etc. Figure 11 shows some typical scientific text from a test run, made while interfacing the NBS typographic routines with the Hershey character set. Appendix C was also set with Hershey's System. The applications of the Hershey system discussed thus far were to publications requiring graphic-arts quality art work which must be produced on one of the more versatile COM devices or on a large flat-bed plotter. Certain of the character sets presented in this publication can be applied with profit by installations which have only a small drum plotter. While the characters generated on these ubiquitous devices suffer some deterioration, as can be seen from figures 12 et seq., they never-the-less are an improvement over the lettering normally found on such devices. At NBS a subset of the occidental set has been converted into a FORTRAN subroutine which is used with a digital plotter to provide graph titles of improved legibility (see figure 12). In another application, a sub-set of the occidental 6 repertory was used to develop a monowidth type font suitable for providing renditions of computer card listings (See figure 13). Another routine has been written to generate vue-graphs using the Hershey character set (See figure 14). The vue-graphs are prepared by first making an ink drawing of the vue-graph material with a digital plotter, then making a reduction on an office copying machine. From this the final vue-graph can be made using a thermal printer. Other applications will be limited only by the ingenuity of the user. 5. Operational Considerations In order for a digital character set to be useful, there must be a way of transforming the digital characters to a graphic output medium, be it microfilm or hard copy. While in principle it would be possible to do this on-line with a main frame computer, in practice it is more convenient to generate an intermediate file on magnetic tape, and then to use this magnetic tape to drive the graphic output device. The computer program used to generate the intermediate tape file depends on the output characteristics desired. We have purposely used a variety of programs in order to indicate the flexibility of the digital character set. For vue-graphs (figure 14), or computer-listings (figure 1) for which no typography (justification, hyphenation, paging) is required, a simple FORTRAN program is all that is needed. Where more typographic features are desired as in composing tables or pages of formulae or equations, a typographic program must be used. Two typographic programs were used to prepare this publication The first is Dr. A V. Hershey's Typographic System' which was used as indicated above. The second approach, by means of which the body of this report was generated, was to use an existing NBS typography program which performed the line justification and page makeup. That program was modified to use the Hershey character set and associated character widths. For the highest quality output a large flat-bed pen plotter with multi-pen capability should be used. This is the technique used by Hershey to produce his reports (Ref. 3-10). Fairly good quality can also be obtained on a drum plotter, but variable line widths are difficult to obtain if a turret pen is not available. The speed of a pen plotter is one to two characters per second depending on the size and complexity of the character. The next best quality is obtained with a 35mm graphics COM recorder with 16,000 addressable rasters in each of the x and y directions. This is the resolution of the COM device on which the bulk of this publication was produced A graphics COM recorder customarily consists of a tape drive, a programmable mini-computer, perhaps a disc drive, a cathode ray tube on which the images are drawn by the CRT electron beam, a 35mm camera which photographs the CRT tube face, and a film transport mechanism which advances the film between frames. The beam on the CRT tube face can be directed to one of approximately 12,000 x 16,000 addressable positions. The minimum separation between addressable positions is called a raster unit. The minimum spot size is larger than a raster unit - in the FR- 80 it is approximately seven raster units. The 35mm film can be developed to produce either a positive or a negative image. The 35mm film is then used to produce hard copy or printing plates by photographic techniques. To use the vector characters for different type sizes, it is essential that a method be available for varying the width of the strokes on the output device. On 6 digital pen plotters this is acomplished by use of a turret pen with pen widths varying from .3mm to 1.2mm. On a COM device there are usually methods for varying spot size and spot intensity under program control. For extremely large characters it is possible to replace each vector by a number of parallel vectors to increase the line width beyond that obtainable by varying pen or spot size. Ref. 3-10 contain numerous examples of these techniques as applied to actual publications. On the device we used, the output using the Hershey characters was limited by tape speed, roughly 60 characters per second. As an example this text, which contains 24,000 characters required 400 seconds to process on the FR-80. COM devices containing internally stored fonts operate at a much higher speed - roughly 5,000 characters per second. As an example, the half million or so characters in Appendix E were produced in about 100 seconds using the internally stored characters which are supplied with the FR-80. Higher speeds could also be obtained for the Hershey characters by writing a special program for a particular COM unit in which some of the characters resided m core in the mini-computer, or on an attached disc. Such an approach has in fact been implemented by one manufacturer. 6. Acknowledgments The authors wish to acknowledge the assistance of Steve Soroka in preparing the program to produce the pictures in Appendix B, to Mrs Carla Messma for the program to interface the NBS typographic system with the Hershey system, to M. Leighton Greenough for editorial advice, to Mrs. Constance Seymour for assistance in preparation of the manuscript and last, but not least, to Dr. A. V. Hershey. He deserves our thanks, and that of the readers as well, not only for havmg developed such a remarkably useful and important system but also for the generosity with which he has shared the fruits of his labor with others. 7 7. References [l] A. V. Hershey, Calligraphy for Computers, Technical Report No. 2101 (1 August 1967), U.S. Naval Weapons Laboratory, Dahlgren, Virginia 22448 [2] A V. Hershey, FORTRAN IV Programming for Cartography and Typography , NWL Technical Report TR-2339 (September 1969), U.S. Naval Weapons Laboratory. Dahlgren, Virginia [3] A. V. Hershey, Preparation of Reports with the FORTRAN Typographic System, NWL Technical Note TN-K/27-70 (September 1970, U.S. Naval Weapons Laboratory, Dahlgren, Virginia 22448 [4] A. V. Hershey, A Computer System for Scientific Typography, in Computer Graphics and Image Processing, Vol 1, pp373-385 (1972) [5] A. V. Hershey, FORTRAN Programming for Surface Wave Trains, NWL Technical Report TR-2714 (September 1972, U.S. Naval Weapons Laboratory, Dahlgren. Virginia 22448 [6] A. V. Hershey, Interpolations of Surface Wave Trains, NWL Technical Report TR- 3064 (November 1973), U.S. Naval Weapons Laboratory. Dahlgren, Virginia 22448 [7] A. V. Hershey, A Comment on the Lagally Theorem, NWL Technical Report TR-3133 (May 1974), U.S. Naval Weapons Laboratory, Dahlgren, Virginia 22448 [8] A. V. Hershey, A Comment on the Fourier Theorem, NWL Technical Report TR-3145 (June 1974), U. S. Naval Weapons Laboratory, Dahlgren, Virginia 22448 [9] M. E. Stevens and J. L. Little, Automatic Typographic-Quality Typesetting Techniques: A State-of-the Art Review, NBS Monograph 99 (April 7, 1967), Superintendent of Documents, U. S. Government Printing Office, Washington, D.C. 20402 8 ) ) ) * SUBROUTINE NPRINT ( K , ITEST , IC , IBLANK , lOTAPE , IPTAPE , lEND NPRI 10 c THIS VERSION OF NPRINT USES A FORTRAN WRITE STATEMENT NPRI 20 c SUBROUTINE NPRINT -NTRAN PRINT- PRINTS OUT RECORDS OF LENGTH NPRI 30 c NCOUT FROM THE STRING IC -lAl FORMAT- THE CURRENT LENGTH OF NPRI 40 c CHARACTERS IN IC IS K . IF K IS LESS THAN NCOUT NOTHING IS DONE NPRI 50 c UNLESS THE LAST RECORD IS TO BE WRITTEN INDICATED BY IEND=1 NPRI 60 c WHEN IEND=:-1 THE ENTIRE CONTENTS OF IC IS WRITTEN OUT BUT THE NPRI 70 c TAPE IS NOT ENDFILED AND EACH RECORD IS NCOUT CHARACTERS LONG NPRI 80 c WHEN IEND=1 THE LAST RECORD IS FILLED WITH IBLANKS FROM K+1 TO NPRI 90 c NCOUT AND AN END OF FILE IS PLACED ON IPTAPE. ITEST IS NEGATIVE NPRI 100 c FOR PRINTING, ZERO FOR PRINTING AND WRITING TAPE AND POSTIVE FOR NPRI 110 c WRITING TAPE. lOTAPE IS THE SYSTEM PRINTER. IPTAPE IS THE TAPE. NPRI 120 DIMENSION IC(4100) NPRI 130 NC0UT=132 NPRI 140 10 IF (K) 20.20,80 NPRI 150 20 IF (lEND) 70,70,40 NPRI 160 40 IF (ITEST) 60,50,50 NPRI 170 50 ENDFILE IPTAPE NPRI 180 60 WRITE (I0TAPE,19) ( IC ( I ) , 1=1 , NCOUT NPRI 190 WRITE (I0TAPE,9) NPRI 200 70 RETURN NPRI 210 80 IF (lEND) 90,110,90 NPRI 220 90 IF ( NCOUT* (K/NCOUT)-K) 100,110,100 NPRI 230 = NPRI 240 100 K NCOUT* ( (K/NCOUT) + 1) 110 IF (K-NCOUT) 20,160,160 NPRI 250 160 N=N+1 NPRI 260 IF (ITEST) 170,170,180 NPRI 270 170 WRITE (I0TAPE,19) ( IC ( I ) , 1=1 , NCOUT NPRI 280 WRITE (I0TAPE,59) N, NCOUT NPRI 290 180 IF (ITEST) 210,200,200 NPRI 300 200 WRITE (IPTAPE, 39) ( IC ( I ) , 1=1 , NCOUT NPRI 310 210 IF (K - NCOUT) 10,220,240 NPRI 320 220 K=0 NPRI 330 DO 230 1=1, NCOUT NPRI 340 230 IC(I)=IBLANK NPRI 350 GO TO 10 NPRI 360 240 J=K NPRI 370 K=0 NPRI 380 K1=NC0UT+1 NPRI 390 DO 250 I=K1,J NPRI 400 K=K+1 NPRI 410 250 IC(K)=IC(I) NPRI 420 K1=K+1 NPRI 430 DO 260 I=K1,J NPRI 440 260 IC(I)=IBLANK NPRI 450 GO TO 110 NPRI 460 Figure 1 A portion of a computer program typeset on the Mergenthaler Linofilm at the G.P.O. via the NBS program SETLST using a monowidth CLARINDA typeface. 9 . , 10 i=l On the other hand, a modification of the form given in [24] diminishes specific heat rms deviations by a factor of about 1/2. Maximum deviations in C^JR (given below) become 0.02 percent in our present range of interest for methane, 80 ^ 7" ^ 360 K. This accuracy is at least an order of magnitude better than can be obtained from PVT data when using the thermo- dynamic computation. The modified form (8) uses an argument, w = e/.r. Constant € is found by trial, e"- <$>(T)=Ai + A-> -.r'/^ + /f 3 -.r^/s + //, -.r + ^5 - w/ ( - 1 ) (8) e = 5.022 880 A:, = -\ Ml 212 /T, -2. 599 898 A^=- 0.821122 A-z = 1 .444 942 A^ = 4. 720 791 The specific heat is obtained via Cj! = dE^/tlT, CyR = A^ + ^rA-i -.r "3 + ^ • A., x'l^ + 2 A, -x + A:,-[(ol(e'"-\)y-e'-. (9) The entropy is obtained via its definition. Introducing the published value of S'^/R at 7'i=60 K yields, S»IR = Ao + ln (r/60)+//,- In (x) + ^-A.-x'l^ + i-A:, -x'^l^ + 2-A,-x + A,-[u)/ ie'"- I) -\n{l -€-•")] (10) with constant Ao = 18.852 484. Specific heat at constant pressure, and the enthalpy function now are simply c«//?-i + c;v/?, (11) {H''-ES)IRT=\ + ^{T). (12) Figure 2. This page from the NBS Journal of Research Section A is representative of the notational complexity of scientific text not easily handled by normal COM devices. 10 3. Derivation of the T-y Relations -> We have seen that as ra »: "M£i!=Mi)^:!+^,, + <,(!). (3.1, i'=i Hence (log^^(!o|M!!! +„(!). (3.2) + " ^\I V k-r I The binomial series for (log 2vY = (log 2 + log vY gives 2±^^-±\{i (f)(log2)-(log.).} =i(:)(.o.2.^-'i^' where we have used (3.1) in the last stage. from to b, or otherwise, Integrating (with respect to jS) the binomial expansion of (a + liY 0 we find k+\ 2jVj" t + 1 L A:+l Jo We use this with a=log2, 6=logre to get Substituting from (3.4) in (3.3) we get » (log2.)'^ ^(log2n)^^^_(log2)'^^^ m ^ (i,g2)-y,+ o(l) (3.5) Figure 3. This page from the NBS Journal of Research Section B is representative of both the notational and spacial complexity of mathematical text. See figure 4 for a comparison of the typographic quality of similar material produced via the Hershey system. 11 — coincides with the circle of radius r. The area of a spherical cap with polar angle 6 on a sphere of unit radius is given by the equation ff sin e de d(p = 2tt{1 - cos e) (16) The equation for the streamline therefore is ^ = - -nr^W = flux 27rg(l ] 0 (17) upstream of the source, and is flux = - 27Tg - i^! - - nr^W = - 4iTq ^1 -^ j (18) downstream of the source. The two equations are equivalent. Solution for 2 leads to the equation » 1 ^ - z= , - 19 'l - J^r^ 4q along the streamline. The velocity of flow from the source is given by the equation along the streamline. The square of the local velocity is given by the equation (r' (r2 + 22)i + zr \q I When the square of the velocity is integrated over the surface of the boundary, the only surviving component of ds is 2-n r dr in the 2-direction by symmetry. Thus the force f on the boundary is given by the equation f = TTpfT^k 1 - -r^ + -^r*)rdr ( I (22) Integration with respect to r in the range O^T^^— (23) leads to the equation f = 0 (24) Thus the force on the boundary is not equal to the force on the source. That the force on the boundary can be zero may be seen by a consideration of the variation of v^ along the boundary. At the vertex of the boundary there is a stagnation point and the Bernoulli pressure is positive. At a point opposite to the source the square of the velocity is the sum of the squares of the free-stream velocity and the radial velocity from the source. The Bernoulli pressure is negative and is applied over Figure 4. This page taken from reference 7 shows the typographic quality of this application of the Hershey character set. The art for this page was produced by a 60% reduction from an original drawn on a flat-bed plotter. 12 Einstein: Zur einheitlichen Feldtheorie der Divergenzbildungen bei Tensordichten von beliebigem Range: - «"*A/i - - («:'*A2t)/<, (5) Die Punkte bei 521 bedeuten beliebige Indizes, die in alien drei Gliedern der Gleichung dieselben sind, namlich diejenigen, welche bei den Divergenzbildungen nicht betrofTen warden. Der Beweis von (5) stiitzt sich ausser auf die Definitionsformel .. • • = at''"* . + W'-'A''- - St'^-'A"- (6) insbesondere auf die Identitat (2). Gleichung (5) hangt eng zusammen mit dem Vertauschungsgesetz der kovarianten Differentiation, das ich der Vollstandigkeit halber ebenfalls angeben will. Sei 7" ein beliebiger Tensor, dessen Indizes ich der Bequemlichkeit halber weglasse, so gilt T,^ - T,,,, ^ - T,,\Zc (7) Von der Identitat (5) machen wir nun Anwendung auf die Tensordichte a3|i deren untere Indizes wir heraufgezogen denken. Wir finden so als einzige nicht triviale Identitat welche man mit Riicksicht auf (3b) auf die Form bringen kann (a5f,/,-a5?,A°,)/„ = o (8) 3. Die Feldgleichungen. Nachdem ich die Identitat (3b) entdeckt hatte, war es mir klar, dass bei einer natiirlichen einschrankenden Charakterisierung einer Mannigfaltigkeit von der ins Auge gefassten Art die Tensordichte JB^j eine wichtige Rolle spielen miisse. Da deren Divergenz 35?i/ aufzustellen (Feldgleichungen), dass auch die andere Divergenz 93fcj/j verschwinden solle. So gelangt man in der Tat zu Gleichungen, die in erster Naherung das bekannte Vakuumfeldgesetz der Gravitation liefern, wie es aus der bisherigen allgemeinen Relativitatstheorie bekannt ist. Dagegen ergab sich so keine Vektorbedingung fiir die derart, dass alle mit verschwindender Divergenz mit jenen Feldgleichungen vereinbar waren. Dies beruht darauf, dass in erster Naherung (wegen Vertauschbarkeit des gewohnlichen Differen- zierens) die Identitat Figure 5. A further example of a well set- page employing the German-Gothic characters digitized by Dr. A. V. Hershey. The art for this page was produced by a 60% reduction from an original drawn on a flat-bed plotter. 13 SRABCDEFGHIJKLMNOPQRSTUVWXYZSIMPLEX ROMAN abcdefghljklnnnopqrstuvwxyz 1234567890, + DRABCDEFGHIJKLMNOPQRSTUVWXYZDUPLEX ROMAN abcdefghijklmnopqrstuvwxyz = 1 234567890, .()- + */ $& ORABCDEFGHIJKLMNOPQRSTUVWXYZCOMPLEX ROMAN abcdefghijklmnopqrstuvwxyz 1234567890. .()- + */ = $© TRABCDEFGHIJKLMNOPQRSTUVWXYZTRIPLEX ROMAN abcdefghijklmnopqrstuvwxyz 1234567890, .()- + */ = $&: ABCDEFGHIJKLMNOPQRSTUVWXYZCI COMPLEX ITALIC abcdefghijklmnopqrstuvwxyz 1234567890, .()- + */ = $© ABCDEFGHIJKLMNOPQRSTUVWXYZTl TRIPLEX ITALIC abcdefghijk Imnopqrstuvwxyz 1 234567890, .()- + */ =$Sc SS SIMPLEX SCRIPT = 1 234567890, + Figure 6. Here we see the appearance of various alphabets when drawn via the Hershey system at normal typographic scale (21 raster units). The same set can also be produced in indexical size (13 raster units). Capitals can also be produced in cartographic size (9 raster units). 14 cs COMPLEX SCRIPT 1 234567890, .()- + ^/ =$a: SG VT SIMPLEX GREEK ABrAEZH0IKAMNZOnPZTTct)X^|/O 1234567890:!()- + x/ = |" CGABrAEZH0IKAMNHOnPETT$X^QVT COMPLEX GREEK = 1234567890:!()-+ | V" GE GOTHIC ENGLISH abrdFf0t;tjklmttopqr2tuuutxi|z l2345e7H90, .()- + */ = $& GG GOTHIC GERMAN a6cbefgf)ijfrmno)oqrftuDtt)ft)3 1.2 34567890, .()- + */ = $&: GlHBGoeeeDiamncDDOQQBSDavcDxgaGOTHIC ITALIAN abfbpfgl^ijklmnopqrsfuuuixyj 1234567890, .()- + */ = $&: CC COMPLEX CYRILLIC ABBrflE}K3MKnMHonpcTyoxLj;qmiiJ,biK)Hb a6BrAe:ac3HKnMHonpcTy4)xij;wmii];i)iK)sii> 1234567890, .()- + */ = $&: Figure 6. (concluded). 15 The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over fhe lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the Lazy dog. The quick brown fox jumps over the lazy dog. The quick brown fox jumps over the lazy dog. 0c VLXK (Spoiy o TrjE i3vLXx^ (Spocou cpo^ zv/httg ozep rrje Xa(ij/ 6oy\ ^[}e quirk brotun fox jumps over tt^r lazjj bog. Xf)c quicf broiTDn foj jum)3f ouer ti)e la^t) bog. Dl}p quirk brouin fox jumps over \\}e lojy bog. Te yvi^K 6poH (j)OB yMnc OBcp to naaLi Aor. Figure 7. The above variations of a line of text illustrate the typographic variety to be found in the Hershey character set discussed in this handbook. 16 The Rose Revived worth in 1793, and later gave us the China Monthly roses. A handful of these may be found in modern catalogues, but they are a little thin in texture and uncertain in design, and nearly all of them are scentless, so that 1 feel that they have been retained chiefly for their willingness to flower from May till December, a merit for which at least 'Cramoisie Superieure' (Coquereau, 1832) deserves a place in the garden (especially in its floriferous climbing form), though it may not possess all the character that we look for in an antique rose. The China Monthly roses, under the name 'Bengales', seem to have been more popular on the continent than in this country, on the other hand, the contemporary Scotch Briars, which occupy a similar niche in modern catalogues, enjoyed a much greater popularity in these islands than elsewhere. They were raised from our native Burnet Rose, originally, it is said (Miss Wilmot, The Genus Rosa), by Robert Brown of Perth in 1793, and very rapidly several hundred varieties were produced, many of which must have been scarcely distinguishable. Half a dozen or so are, fortunately, still easy to obtain. 59 Figure 8. This facsimile of a hand-set page was produced from the Hershey character set. Reprinted with permission from The Curious Gardner by F. A. Hampton. 17 MATHEMATICS FRACTIONS 1/2 72 IS 1/2 RADICALS 1 4 x/tt ABBREVIATIONS (cm)/(sec) 2 sin 5 COS 0 tan * — cos^5 - sin^0 (erg)/(°) X EXPONENTS _ri ,2n+l ,ici>( „ 4W SUMS PRODUCTS sine " / 02 < ^ ^ , ^ p(2)= E C„2' p{z) = n (2-aj —-= n 1--^ n=0 n=0 n=l e \ n'^TT^ FUNCTIONS r(2) w{z) n^p, k) DERIVATIVES dw du du dv dv = i — = hi — dz ox dy dy dx dy INTEGRALS 1 r/iz) •pix) S Ax)dx fia) dz f dx 2-ni J z - a j: VECTORS a bxc = axb c / a ds = fV adr / a dr = / Vxa ds ax(bxc) = bac — cab MATRICES y =Ax ttu ai3 a^i ctga CL23 = IUi>l x=^A ^y Q'31 a.32 Q'33 Figure 9. This replica of a page taken from reference 2 shows how effectively mathematical expressions can be handled via the Hershey character set and typographic system. 18 LUNAR MOTION Rev. N. M. Wolcott Whereas the sun in its motion through the sky and seasons appears regular, the motion of the moon is more complex. At first thought it might be supposed that the moon would follow the sun being high in the sky in summer and low in winter. A little reflection however shows that this is not the case, for whereas the sun is at its highest in the sky at the summer solistice, so the full moon at this time being opposite to the sun must necessarily attain its lowest position. Conversely the full moon at the winter solistice must then reach its highest position at that time when the sun is lowest. This then accounts for the long bright moonlit nights in winter and the minimal appearance the moon makes in summer. With regard to the moon at the periods of the first and last quarter, a little more thought is required. Since the moon moves counterclockwise about the earth and the earth counterclockwise about the sun, the first quarter moon being behind the earth in its orbit will lie at its lowest point at the time of the autumnal equinox, whilst the third quarter moon being ahead of the earth will be at its highest as the earth proceeds from summer to winter. At the vernal equinox however the roles are reversed and the first quarter moon is at its highest and the third quarter at its lowest. In the fall the moon is often seen high in the sky in the morning at nine or ten o'clock between the third quarter and the new moon. We thus see that the moon traverses a complete path through the sky along the ecliptic every 28 days, and occupies at some period during each lunar month either its highest or lowest position. We are now in a position to understand the phenomenon of the harvest moon. For at the time of the autumnal equinox the full moon will be neither at its highest nor lowest point, but rather in between, and will be moving higher in the sky as the month progresses. (Remember the third quarter moon is at its highest in September.) The moon thus will be tending to rise earlier each night as it moves to the north along the ecliptic, thus partially counteracting the normal retardation in moonrise due to lunar revolution about the earth. The result is a series of nearly full moons which continue to rise day after day at about the same time of evening. Thus to the observer who glances at the sky shortly after sunset a moon will appear every evening. At the time of the vernal equinox however the moon is moving daily toward its lowest position, and hence the time of moonrise will be retarded beyond its normal hourly advance, to a period of almost two hours. The full moon is then only visible for a day or two, and we have no springtime counterpart of the harvest moon. Actually the full moon will rarely occur just at the autumnal equinox, and there will be two full moons which will share the harvest moon efTect. the first of these which may occur in late August is the harvest moon whilst the later one which may be in October is called the hunter's moon. Thus we see that a little reflection will explain the different locations in which the moon appears at various seasons of the year. It is curious that with so much interest in the exploration of the moon, these simple facts of lunar motion are not generally understood. Figure 10. Another example of the use of the Hershey system for the preparation of scientific text. 19 4. Isotropic Tensors of Ranks 2, 3, 4, 5, and 6 For completeness, we list here distinct isotropic tensors of ranks 2, 3, 4, and 6, for which no reduction is needed. Table 2. Reuik Distinct and linearly independent fundamental isotropic tensors 2 ^. 3 e^. ^jm <5<„ <5>, <5t,H. <5i, <5;» <5«,. 5^ tf^ (5^ (5t„ Independent sets of isotropic tensors of rank five have been studied by Cisotti [8] and Caldonazzo [9]. A particularly simple way of generating such a set is to write eq (3.4) in the following way: c>t« 6ip = e^t <5„p + 6jj, - e,^„ d^p- (41) It is immediately clear from this equation, that any fundamental isotropic tensor of rank five in which the index i appears in the Kronecker delta can be expressed as a linear combination of fundamental tensors in which the index i appears in the alternator. A count of the number of the latter fundamental rank-five isotropic tensors reveals that there are six of them, viz: ^ijk <5mp. €.;m ^kp- ^jp. ^itp ^mj. ^imp ^jk (4 2) Since Weyl.s result [l] implies that (3.4) or (4.1) exhaust all possible reduction equations for rank-five isotropic tensors, and since none of the six in (4.2) can be so reduced, we conclude that (4.2) is a linearly independent set. Figure 11 A portion of a test run to check out programs to interface the Hershey character set with the NBS typographic system. 20 1.0M NaNOj, pH 10, 0^ FREE ' 1 > 2500 ( ^ -1000 I ' ' ' " ^ -7 -6 -5 -4 -3 -2 Figure 12. An example of plot produced on a drum-plotter utilizing the Hershey alphabet patterned after the LEROY® character set. 21 2 ©ELT.SI WOLCOT*TPr$.XTCHDT,,. 16475506031 1° SUBROUTINE XTCHDT (NC. Al . AD. LC) C UN I VAC n08 SUBROUTINE TO EXTRACT CHARACTER DIGITIZATION C NC = CHARACTER NUMBER (FORTRAN INTEGER) C Al = INDEX ARRAY (SYMBOLIC ADDRESS) ^ C AD = DATUM ARRAY (SYMBOLIC ADDRESS) C LC = CHARACTER ARRAY (SYMBOLIC ADDRESS) C INTEGER Al . AD DIMENSION AI(1).AD(80).LC(320) 001 J=NC/2 K=ABS(NC-2*J) LD=FLD(l8*K»18.AI(J+n) 1=0 NE=0 002 M=LD/4 N=:ABS(LD-4*M) LC(I+1)=FLD(9*N.9.AD(M+1)) LC(l+1)=LC(H-1)-64 LD=LD+1 l==l+1 IF(LC(I).NE.-64)G0 TO 003 IF(NE.EQ.-64)RETURN 003 NE=LC(I) GO TO 002 END Figure 13. A portion of a program listing produced on a drum-plotter using a monowidth subset of the Hershey character repertory. 22 TAPE UNIT TESTS 25 APR 84 TO 07 MAY 84 CI ID /\ 1K1IT clKKUKb/rNM SATURN 7 TRACK 800 CPI 8/0 2 28811 .069 8/1 0 23438 .000 8/2 0 22002 .000 8/3 0 20017 .000 8/4 0 21019 .000 8/5 1 22203 .045 8/6 21 18097 1,160 SATURN 9 TRACK 800 CPI 8/8 823 24376 33.763 8/9 9 23246 .387 JUPITER NRZI 800 CPI 5/0 463 33437 13.847 5/1 19 35269 .539 5/2 44 27066 1.626 JUPITER PHASE ENCODED 1600 CPI 5/3 168 24830 6.766 5/4 37 35294 1.048 Figure 14. A vue-graph prepared from a page produced on a drum-plotter using a subset of the Hershey character repertory. 23 : 265 : 266 : 267 : 268 : 269 ; ' I [. I |. I |. J |. s I I....."-.!. I I I I I I I I Figure 15. These special characters were digitized at MBS to meet the piiblication requirements of the Office of Standard Reference Data. The illustration was produced on a standard drum plotter. 24 T275 : 276 : 278 : 279 : 280 : 1' "1 ; 1 1 1 2 I' I' I l< I' I' I I' I : ! 1 1- £ I I' I ± I I' I ± I" I' I' I ± \"'"± T...... |...... i.... 1 |. ....|... t. |, i i, i i Figure 15. Concluded 25 Figure 16. Here we see the use of the triplex mode to draw 72 point characters on a drum plotter (with a 0.4mm wide pen). Use of a wider pen would have removed the white spaces between all of the lines. Since spot size and intensity can be varied on a COM device , comparable results can be achieved. 26 APPENDIX A TABLES OF CHARACTER DIGITIZATIONS I o o o o o (M 1 1 1 •o •o 1 1 1 1 l/> ro in >» 1 1 1 1 1 •o 1 1 1 1 o o ro o 1 1 1 1 o o ^ 1/^ o -5: u-i ro -64: o-o >o 1 o ro >»••- l\J (M >»«»• >o o «» >»• m ro ro>»- 1 1 1 1 1 1 1 1 1 1 >» Kl ro rsj ro ro ^ roro ro m IM tn * CM (Ni rvjo 1 1 1 1 ro ^ >r ro ro >»• ^ ro-^ 1 1 o 1 1 1 1 1 1 1 >» oro o o>»-o»- ro •— INJ o o rofo >» ~*roro >»• ro-* •O-O o 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 < T >»«»• to oro o«- 1/1 >»•»-•- «j-«->»-«-ro -»^oro ino^ o oro«—«— OK»ro 1— r*~i «—ro X •-rsi inin«» '—>r •— ir< ^«-^«->* «M rsjin 1 1 1 1 iMro roiNj •4- o ^roisiro «»-rororo^ ^roi\j«— roro^ o rsi 1 1 III <0 1 <0 1 1 1 1 1 1 1 1 1 1 1 O-i-OOO-* I I >»-fo rofsj^»*-ro >f ro^s»-^%»-o roo roiM>»-ro»»'^^o>»->J-ro ^^^«»->»o •O I o-o I O I oooo I ^o <0^3*0 ^0^3 sOsO^^*0*0 I II I I I I I I III II I I I I I I I I I I toto u-irom>t-4->»'»»'u-iin>»'in in>»'inu-i>rro-.» .—j^^toro I III I I I I I I >o •— rsj «— ro-i'^orviroNtro-*^ ro^rororoiNj^ rosjoroisirsi II II I %o I I roro foro>to^orovtrooro roorororoto«— roo-*roisiro oo u-iooou-i o>»->»-ooooisi Ofsj oinoroooo»rooo ooooorM«-^ooooorM oo-j-om oooo II I I vO I O >»• N»- >»•«»• to «i-ro >»-»-N»-f\j>»-«»'N*o>»-Nj->i' >»-N»'.*>r>»-rofNj>»-«t-*>i->i-Nj-ro ^>j-ro^ro >t>»^ro ^^^^ ^D^O^O -O-O "O -O -O -O I <0>0 I >0 I OOO I II III II I I I I I I I III III I I I I I I I I I I I I I I I I I rorv>»-ro«— oroorvirooro>»ro ro>»'rororoiM>»oro»t-j'roropsi rorooo^t oroo«- I I « I I I III I I I I I I >o I I I I I II I I I I I I I I I I I •o I I I I I I I I I I I I I ir»m ^mm^ «0 m rom *r ^ ir» «0 ^ r>j ininin »o in ininininin ^ inininin >o ^ *\J*nin ^inin'O inminmin^^in^^o <0 I I I I I I I I I I I I I I I I I I I I -O I I I I I I I I I I I I I I I I I I I I I I I I I I I ^r\j ro.i'in^r^ oo^o^isiro^m A-1 ^ O so M I o rsi >— V o> ^ ^ O- •o O I •o-o I >o>o^ I I «— I I I I III I I I *r^ooo«- oo«-«-o O-O^O «0 i I sO I I I I I I III O^^ ^ I >0 >0 I >o^ I I III I I I I I II I II I oisjroisj«— fMr«om^^o»»'0>fMiv.f\j rsj ISMSJISIOO- III -o I I I (SI lofo «r»sj o•-oo•-^ —»r»» I I •O'O I I o I I I or\jm(si^»—mo>or»(M (SHSJ(S1«-ISJ I I I I I I »— •-•O'- II III III I III >o ) I <0 I -r^.- >»^oo«- ^rsi»-r«^«- >»>»rvu->oo>» "O ''O^C I I I I I I I I I I I I I II I II II vri >r -TOO OOOOOO >»• 0(SI(S(»- O I I ^^-r(SJfsllON^fOlrllr>l/^>»>^^O.O.O^o^(SJroto«— u^>»to>oooj>»>»(sifsj«— t^oo(si>»rsi(si^.«oisirsi I I I I II I I I I I I I I -O I I I I I I I I I I I I I 11 «-«— I I 1 I I I I I I I I I I I «— »— rs* •r~rorstt^fri •-rsi o ooo (SI oo fsj »— m >r fsj fsi o ^o si- tooo «— o^ fo >t N» o N. in«oir\ >o «ou^ o I •O-O III I I I I 'O I I I I I I I I I >o I I I I i/iiO"— m rsjfNjrgrsiisi>»'«— rsj^^inoinfo>i'fsi'0^'0*ninfsiisj(sj>pin^ro^>to«»— fsjornr-r^oooroT— «- 1 II I iiiiii iiii iiiiiiiiiiiiiiiii-fii'-«-«-i •oo*o«— rsjro -o t^eo o«— rsiro>i-in vcf^ooo oi— (Njro^tn^r^oooot— fxjro^ u~> »— isj >» u^>pN. ooo 9-0-0000 oo o oo o «—«—«—»—»-•— r— »— f— t— fsirsirsiisjisirsjisirsifsifsifotorrihrihri to oo o o ooo oo •-.-(sjrsjrgiM (S((S) (S) iSKSi fsi is)(S((S((N|(si A-2 — o I I <- (SJ O OO >— OO (NJ O OO •— fM -O «— in(M O I t\i vj- (Nj in rs, ^ c>f\t •o I I OO f\j m fNj to o>~j->r m I vTO^^OOfNJ 0>»-^00 •O O-O I t I I ( I I I I ^^^^ vO I I I I I I I I I I I I I I OfXIooO O^rsiO^fNJvOfNJ O* OOOvO ir» «— ro u-to»ot^ OfNICXNJ^O m rsjfsjo>~j->rr\jo II II II III ^ roo-rooo oil I I I I I -o O-O-J-OOt— l\J«— •— (\J«— o~j->to>j-o-4-isjoo<— oo~>-oooo«-rsj Os»-000«— (SJO^ »— I vOvO O O i vO ^ I OO I I II II I I I I II I I I I I I —r>j->j-o>*->i-irtm>j-^>s->j-^oO(Nj ^^ >!• OO rsj ^ u-i ^ «— ooiooo I OO OOO OO vO vO vO I ) «oooo>o I I o I OO I I r III II I I I I I I I I I I I I I I «J-(MINJ -Of\JOOOCT^(\Jf\JCMNjr^r\JOfNJf\JO^r\J (M(\jr\j I O ^ I I I I I II I I I I I I I I I I I I Ot^-OOr^oOINJINI OOINIINI i^ooorv^roooisji^rsj I I I OO(\J fsj rs. «— i\j rjooisioo(\j(N)i\jorM(s/(MmrMi\jisjrsirjN.«— fM(SJINJ(\J(SIN.«— INJINI f— »0 II I I I II II I I I I III III I I I I I I I I I I III I I I I isjoo-oooooooorvioooooo-o- vj-oooooo^ooo O-O"—mo>ooo-* ^^^0*0*^— Is. <— CT* ^ "— CT* cy* C7* (y^ f\j C7* cy* CT* o cr* cy* (y* cy^ cj* *~ r— CT* C7* fNj . »-«— I >0«— I •— I I I II I I -O I I III I II isjisiiNirgiNifM >riM r\J^^s^c^c•^oor^J^\JfXJrgfx^r\lrxlfNJo^Jr— r\jr\)fxirsjfX)r\j^rNjrNjfNjf\ifNjr\jr^ t— T- I r—w— I «— I «— I I I I I I I I I I I I I I I I I I I ( I I I I I I I I I I I t I I II I I I I I I I OOOf^fS)"— •— •— O •— •— OlSJO-OoO"— OfMOOOOO(Sjr^CT>0-0«— •— -JOO-M"—O"— •— >— 0O«— OfM"— oo«- >— O0»-00ls.o0"— 0-IN10000">— (\i00>00«— <— 00>»«— 0(\J«— O"— 0O«— ooooroorso*— rsoroir— vOfxiOfsio I I I I I I I I I I I I I I I I I I I I I I I I II I I II II c— -—»—.— ^ ^ T— r\i(\j(Nj(\j(sjisj(sji\jiM rsjroiotomi*-! mrorororo^ ^ vj-^t A-3 — o o O — II l>OI o-o fvi rsi «— ^oO'O M isi oo>t »--4->»'iNnn %t«o ^»»is.ro eo»* •— (S) p^o r>. oo»- mo -f 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1 O*«— O ^m «— 'O f*^oo^ >0 oo li^ <—«— i/^ «— (NJ^ — IXI -j-rxj*— (\j r— l\J OO .— «— >0 «— to >— (NJ T— T— toO"—too-(MO« >0 1 1 *— 1 1 1 1 «— t— 1 1 II 1 II II 1 1 1 1 1 1 1 1 III 1 ro ^oo1^ o* «— fv^ >j- «— ooro o (\j >»• sO m (\j o>i- sO>i-ooo ro(^ ot^oo.— o^o^oto o>-o rxjro-O^ ^ro»^ 1 1 1 "— »— 1 II O lill lllllt— («— i«— 1 1 1 1 i 1 1 1 1 1 1 1 Ou-iooro-orNJOoO'— ooor^oorxjoooooroooOf\j»— O-M 0«-INJINJ fNJoO r\jrNjc^rvju~>Oooor^ 0-(NiO'toooCT--or\jf\jO' t *— «— «— «— 1 1 1 III 1 1 1 1 1 1 1 1 II 1 r— 1 1 «— 1 1 1 1 1 1 1 rorj^o»^r«*u-iooojooooir»irtor^roiv^oofMpn^O*>Ofoo •-INI u->so«— ro f *— fOOtOI^IOOO*— o>» foior^O'>-orsKvj«— >» II «— iiii 11 iiii«— 1^1^ 1 1 1 1 II*— »— *— 1 1 1 1 1 1 1 1 1 1 ooo*o*(\joors-a*^(^oooO'— a->*'Oooooor-o*oo*— i\i oo«— ooo»— ror^ o.— oootot^o-oooo^oom ooot^^o-oooo*r»iooo .— «— I II II I INI I II l«— I.— Ir-I I.— I lOI I I I I I I I I I iri«— •—oomo^Oiooooo^^.— lorjr^oo^is)*— ooOiooo •— o tor^-tsjo .— fsj (sjo>*-NOi-N.>»-o^o>*'Orsi to^t^i^ooO'-r.—rsi II IIIIIO IIIIO l<-l I I III.— O' r^.— OOt-^.— 00*oOlO»OOoO(NJO»0*.— 00>00000(\J sOO>J'.— t-'^O-O nJ-iOnJ-O-O-OoO.— >00-00-^0o0>*"-00->0'00->00-«0>»-*r* •— III II (Ml I OotMio^ru-KMVCr^t-^"— tototoo>ON.»-«— tooioOP"- o«— oofsjtM rvj.— >»(M(Miooo-0(M>roM»—O"-^fsj'--orv«0O' I I IIII Ir- I ll«— ll«— I »»-(M00rsj00(M>000^>»'lO00lO«*00(MOlO00»-O00lO>0^ u-iO«*(MtOO00»»'O'->0O00^0>»--000u-i0>r>»ir>»-T—intM-OoOoOiOO'O'OtM •— .— IIII II (M I I ll^llr-l»-IOI "—I II I I ll"— I IfSII I I I I I I t tv(Mioto-»(MOtM«— I I (s..-t^•-o•-oo•-to(MO>rO••-oofO(MOOO•fMoo.-»»•T^n.OO>o^.fM<0^>lOt^fvfM>OP^IO.-oofoo•OlM^rlIv^o«^^^l«»>^^>h^^>»o^v .— 0«— I .— »- I I I I T- »— I I ^ ^r- I C- I ^^1 ^ ^1 ^^^1 ^1 1^1 ^ I I I I I I II IIII II I I III I III I I ^ lO-Ot^oO cy- O •— (MfO m O oo O G r- fM tO lO -O to tototolo tooo o O o o o o o vDf-^i^ ^ r-^ tv ^ r > 0 O sO O O r\j ir> rsj O o O u-» lon,. o o oo i/~> ir» ro III II I «— >0 i/^ to sO «— «— fsj oo vO-^ o >* tn t I t I I III 00oOeOo0e0'>4' oooOOO fSJ h*.oO O 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OOO o o o o oo oo «—«—«—•— »— »— r— r— «— f\jiNjiNjrsjrsjf\j(Njrsj ini rM ro ro ro ro fso roro ro mo o o o o oo oooooo oo o o oo oooooooo o o o o o o o oo o A-5 — f\j nj- •>r rsj fNj tr» O «— vOO O oo o ro in o ^ oo oo rsj «— oo rsjNj-^or\j o -^r- fNj-sO ro ro I OO'— «— vO II II oo m oo '^j'O^r^o o o oo oo ooo o lo ro oo -O'lnooo o iTMNj fsj -^rm «— ro ro rsj u-i m %o %o ro sorooo -sTo o Oooorou-ic>mc>c>^o«— ooloooo o u-\^ lo ^ro ^ oo o ro (Nj ro *— rororou-tfsj ro*— »— oo^o ro *— o ro*o oo^rorvjooooooo oo-^j-ro u-» ro*— T— o^o rsj ro*— r^mromrvj-sj- O r\j OOO OvO oo -j-rv, o lo vO^»— *— vJ-sOf\J«— ooo o *— oo O "sj- O 1— >o o vO *— I I I I t— «— «— -vj-LO -j'-j-ro-sj-vj-ooNO'— I I %o I O I I I III O lo r^oooo Ooo r-v. lo - I I fo ^Loro %oro lo oolo fSj *— (Sj ro oro u->omoomLO>0'- rs^-or^ *oo m oO"^(Nj-sj-«— mrsj rsjooo *— oof\joo«— roo o *— ro *— o*— Nor^>Ou-»oooiNio m«— *o rofo -4- iNi-d- -4- o<— >*-tno oo^-**- *— o *— o^Ooo^oofNJioro * «-(NJ"4- I I «— r^ nO oro«— -orsjoroooo (Njm*— ro ro oorsj *— «— ro or\j«— looo-vJ-oo ooom «— rsj ^ ^ >j- 'J- O ro ^ -sT nO sj-oooorv.oinoro«- oroo rorooroo*— iNj fNjOsJO'—j-r\j-sj-o--J---J--J--vJ--4-o-J-ir>oro I I vO--0 I I I I vO sO I OO I I II I II II I r II «— u-> -sT o «—>d' o >d- oo ro *— o *— vj- nO nO m rsj -sj- roro f\j fvjNOLoorooo^NOiNj roor^-^-^ororv.^^ir>"sru-»o-^-^rv.^rv>^>or^^OO«— " nJ- 'j-rororoLOfNjiNj »— oO< OOloO oO O o^O oo I I I nO I III III I I I I I T— I I I o «— f\jro ino sT -4- ^ -sT in in in in in in o o oo OO A-6 I o f\j vO r\j(\j ro c— o r>^ooooONr^oooooo^o O oo O oo oofsj rsj to f\j 1— rsj >j- >r f\j sOOoO*— O0w00o0o0u~>00 o o u~» rsj nO ro «— fsj O rv. o o ^ o o fsj rs^Nj-o* oo oo O*' oo oo O CO lO oo O O* o*4-r^ ro oo I ^0 vO I I ^ *— ro ro ^j-rsj-o ro ->r u-^ sorsjro ro >o lo r^ to ^ oto nO*— I III I o rs. %o *0 Oi/~»0^ irto roooo r\o oo oo oo oo oo ^ rsjoo iNjr^oo oQr- fSJ f\J f\J «— o ^OlO 00»- f\J sO nO o* o* I I (Nj rsj fsj ro •or***'— ro^orsji/^u-ir^T— %a-in fNJ 'J- 1— >J- vj- 1 I o oo I I I >3- fNJ O O oo*— vTOoroo*— ootoorvj ^orv.ooir>LO oor\jr^ vO «— I «— I I I to rorsj roor-vu-i-sO r— oo«— oo «— o «— f\j «— -J- rofNj^*— "nT ro o^r-^-or^ oro'— O'— <— ro oo- I I I <\j «— rou-»o*— oo -^loo-vT otv-ONi-rsjro*— ooii^»— oooooooroin ro (NJ -»»'rs^^"**'oo^ONO^-Nj-iO's3"%o-^ou-n/^ro OLn>4^OLO lOsO^Ot— o-o*— I 1^1 I I I I I I I v^>^>^'>rvrco>^-Jo^o>^'oovroo>Joc^v0^o^O'J'-^^^J(>r\Joro^ f\j nJ- f\j fSJ r**. O r\j fNi rsj CO II I I I I I I I I I I I I I II >f^ro>r^o^o^c>*Ounooro^^OsO<)^^'— u^>*"io*^ro*0'^r^o^>j"-^-^«— ^-^^vO nO>oO'— oo o-ooo IsOlvOi I I llllllll o OOOO I I I oo -i.^ f*^ %0 ^ C" PsJ oooo ^ O oo «— O fSJ oo oo fSJ LOO ro ro O oo O OO O LO oo oo o r^ «— »— f— r— *— t— I »— O*— T— O ( f\J fSJ*— r-T— ir^ ^ r»s. ro i/^ %o ^ >o ^ ro oo *— o *o ^ 1^ oo (NJ rsj oo ro oo o rv. »— o >4- oo o -st oo o oo «— I *— i— t— I I I I I IsOl I I I I I lllllll It— I) II*— vO*— I «— I <^ vO*— 1 sO 1^1 I I I I I I I I I I I I I I II ^s.oo0*0 INJ ro 'j-un r^oo 0«— (NJro -sj-ir^ oooo oo o oo o oo O T— A-7 ^ o oo r^fNj o o rooofNj ooo --j-ro-o «— *— I o I oro o ro otNjrsj oo I I I I I I I INJOO OO oo roo rsjoo (\ioo ooooo OOOOOoOt— -^J-r- 1X1 -j-o*— <— 0*0 o vT-J-OvJ- I I I I I ro loiNj oo o roo oooo ooroo OO I I I nOo r^ooo -LOO oo»— roorooofNj fNj -j-^—j-ro^iNJ >j-s4- OnO rsjfsj li^m cj^m*— mr^iNj OOO ^11 II 1111 II r^o IV.OOO 0"4-o %0^»0^0*0 oo I OOO o I I I I I II III I 'J- -J- -J- >o o nO T ^m fsjN- mm I o I oo I I I oo-sj-m-4-oovro rsj moo-* rsjrvj o ^j- (NjvO f\jrsj oom -sjTv.o^OvO*— >J- •^•^vO^LTifxjOLorxi «— oo^«— <— oooo*— c^iNJOOir»>4-oomr^oo<>r^>3-rsj^^c>omoONOo*o- ^ ir^ ^oo -nT ^ ^ >r o «— o «— o m -J- >4- o >j- ir^ ^ r\j in nO rsj vr *— <— O O OOOOOO I O I I oo O \ O \ i i O t I InOI I I I I I I I I I I I I I I t m«— ^0•<^<^v0oc^mr^^0O'— «— ixisO->J'OO^f^r^O^C>c^ mmm*—oo m II II f I fNj m f\i fsj o o 1^ o «— o vO o oo (> oo mmo ^ c> >4- r*^ iNj ^ ^ rg o Osj m oo f\j o «— (Nj^om^^O III lll<— lllllll II I O i O II I I nO I fsjrj >om^o^o^o^oo<>m^^sO'— (NJOu-tNOm«— o^^>oo^o^o^oc?'ooomo>4•c^»— of\)t^moo<>oo«— oomt— o«— fsj^rm I I I I r 1 1 III I I I I I I t rvjmc>->J'-j-0(>oc>rv.oo<— om'— oc>^^(>^>-l^oc^ooooorvJO^\JO(:^ »— *— till iiii iiii I II sOiti l^Ol-Oil o*n^ rs. rs. >4' mmm^ ooinin momo in «— rv» rsj f\j m oo ^ fsj «— rsj ^ (Nj -J- ^ ^ r\j «— f— T— I t I t I t I I I I I «— I ) I I r- ^O-— vO»— I ^O*— O I I ^ I »0 II 11 (III I I I I I I I I I I I I I I III I I ^s.oo o«— fsim-^rmo'^ooo^O'— fsim-J" tnrs.oooo«— rxim-^j- m o o*— rsim-^inso *— — fsjfsjrsjf\jfNjrsjr\jr«jOsjf\jmmmmm m mmm-**- ^^-^^ ^j- -^j- mm mm m m m A-8 ^ >o ro fsa nO vO <— -J- «— oo fsj oo rsj u~> tr* lo Loro oo soo f\j oo rsj oo I— 0^1— CT* O sO 1^ 1 I o <— O 00 I I 00 f\j 00 r\j f\j 00 t\J 00 o O ro fNj nO motn ro o 00 -j-fv, ro nO nO 00 I I I I »— *— -4- >j- J- O o rofNj ^ vi- ^ -J- ro ^ ro ^ vj- ^ ^ fo,— I nO I >o I I I I I I vj- vT vj- >4- 'J- roro "vj- I I I I I r I I I fsj r\] f— t— pv. fv^ ^ I I III - t— <— f\J «— %o >J- (NJ fxj >J- >4- o Oo rsj «— rsj rv. *— I sO I I nO t o I III f\j 00000 I I I «— «— «— I OOOO I I I t I I I I I I I oooooooorsjfNjiNjrvjooor^ sO»— ^C^^r-o^c>oo^rsJ•>.^ II t I I I I I t I I I >o I t ^^OvO^O^O«0'0^^0>00^0»0»0«— »— Itll «— ^tll *— II I I I I 1 I I I t I I I I I I t vO>0 I I sOvOsOO^OnO^->0^vO-«0>0^0>0 t*— •— II II il«— »— |r-iiii I I I I I I I I 1 I I I I I 1 I I II o o -J- o 1^ fN) I I I I I II I u-> «— u-i %0 ooo i/^ roooo rsj -sj- N. into r*^ o nj- o -nT ^ ^^ o r>o tn o o «— o «— ^ o 00 ^^ nO 00 >j- T— ^ 00 -^t T— r- ro fo i/^ *— •— «— I I I I t— «— •— I I I I nO rsi*— I t I i«— iiiii*— 1^1*— II I I I I I I III III ir* *— i/^ nO oo ^ iri ^ rsj oo ^4- %r o o -sT fsj o o ir» ^ oo ^ rs^ I I ) II I vOnO(N(«— I I I ( I ll»— lllllllll «— f— It— II I I I I I I I I I I I I I I I I I III r^ooo^o*— rsjro^ to o r>. 00 Nor^ooc^o*— Osjro >i-i/-»*o 00^0 T—rsjro-^tu^ *o^^. 00^0 »—r\j ro >t tn sO 00 o irtw-tiriNONOsO-OsO 00 00 oooooooooooooO'— f\jfxir\j rg fSJ fsi f\j (nj rsj inj r^f^r^r^r^f^r-^N* r*^ rv, r^r^rs.r^ 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 0000 00 00 00 eo 00 00 eo A-9 ^ oo ro o o o o o I I ^ r- o ^ <— r\j rg -J- -J- -J- o ro fv-» o o I I m f\j fo o rosOir>o u-i -J- orsj ^j-*— -j-o rsjpo^n rsj m fsj >4- -r\j-^ ir> r— vO or\j oor«*> o ro o nO -srsOiri^ o o or\j I I oo I I I I III I I mroo roroo o o o o u-iu-ioro o f\j OfNj I I o o o oo OnO rofNjro rsj ro ir> in rsj «— I -o^o-o t r I I I I I ooro o ro -•OOO I O OOO I I I I I III -o o om roroo -J- roo O INIOsOrNJ f^m 0«— (NJ OOvOO fNJOOfNJ*— sO I *o«— I I I I nO ^om ir\ mro >j- >4- ^ «— I O I I I OO I o I III oro^r^O'— o ooorxjfNj r^>t oof\jf\j->j-«— «— >oro-sj->4-»--->j-fsjfsjro-4' \ l<— I It l«— l*0*— IInOI«— I o «— in o^sO>J-o>J-f\irovj-oomvrr\jo>4- sO I I I O III o orooooN*-> in ro in f\iinoooo o^ooofsj vOf\j >jT\jr^oooooo-«4'OOoro»— rsjooo 'J- ^ -J- sr r*^ oo -sj- -J- -nj- -4- fNj ro -sj- ir^ ro — *o o ^ NO^^-4'>t-4- >t >t >r >t I •xO I I I I I I I I OOO >o>o>o o 'OO^OO ^^^>000 sO ^0 nOnO I I t >o I III \ III I I I I I I I I I I II II I oroooo%ON.*0-J'orors.invOfooo^roro>4-in^roNrinN4-inor^NO*00 om -j- >.r >j-fNj I II I I vOnOInOIO I I I I I I oo oo ^ -J- -sf vO nO *Nj o ino ro ^ ^ ^o in ^ ro >j' in >4- ro sj- oooo in >0 >f ^ r*- rvj in fsj o >4- ooo fsj o rsj o nO ro •— «— I I I I I I I I I s0>0 I I »o >o I I OO II O t I I I I I I I I I -t -vj'oO'^-^r^sO'Orv. >^ *f 00 -^r ^^ O00 rv. inin ro fNj in o -O o in o ro o >0 --^ o in *o f*»» o* >^ O* sO I ( I 1 I I I I I I I I sO I I I I II III I O I sO'— I I I I I I I I I o»— rgro^ro •— rvjro»4-u-isorv.o r\j ro -vj- m vO r^o«— iNj ro vj- mso f*^ 000* romrororo •s*'*^' >4"*4' ^^in in m m in in in in A-10 ^ — oOu~i vO -J- rsj ir> rv. oo u-» ro « t O rooo oo o »— vO t— mo t I I III II -in nOnO rj rsj^ 0000 fsjiNj ro *4-u-t o-t—r^oo o fNJfSj r\jf\j oo^i'o PvjvO 000 vO 000 I I OnO'O I ^o^o^o I I I III III 000000 ro fNjro ir* 00 (NJnO f\jr>* 00 r^r^ mo sO-or^to ^— >orv. I II I -rom*— >o o OlO <— 1^ r^o I I I I 0"^^£)m vO^O o I I I I I o«— r^«— or\jo>oo r-^ -vj-ooorv. 000 I I I I r^oot— rooo roro *— ro-j-^Nj-'sj-fvj rsj*— >j- 000 I I I I I I I I I I I f\j<— <— ro >j*rs. >j'>j"0'srm-Nr irm-> «— «— I roro %o«— II I I I I I I I r- ir>00*— INJ fxjror— roroo^«— u-t «— <— «— «— rsjf\j>«3-vO«— t— «— II I I I I I I moroin ^ r^ o >r <— ro T— ^ u-t sf >a- »— I t— >o«— -^vOroro^—j-T— >o«~«~ II II II I I I I I I 00 -J- vj- «— ^ 00 rs. o ro00 f\j nJ- 00 00 '•O'— fsjro II 01 I I I I I I ^o•vf>J-^ooooLn^of^c^'— fNj(>rv.oo«— N^-r^r^.'-j- «4- -j-o>j-o«— mrorv.orv.ovOOvoromoooomr^ooo I vO I o I I fXHNjrofNj«—->j-»—«—^<—'—o I I I I II I I I I 11 II III III I •>r-«4-^0->4'oooooOvOrsj«— f^r\jroT— f^roinooLOLnvrs4-«j->^ I o I *o I I I I »— roro I I o-^oo 1 -o nO 1 «o 1 1 sO-OnOvO 000 II I II I I I I III I I I I III ooooonj-o o*— ro >j- in o oin NOr*N. «— (Njrsj ororoom oininin o *o o sOrsj rors. o >o o -oo>oo r*^ nO »o -o^ «— «— ->!-«— I I I I I nO II I 1 I I I «—«—<—f\jfsjrNj>j-fNjfsj II I I I II II II III min 1^ «— fsj rs* r^ %0 rsj r*j «— «— 00 N. 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*— I I I I t— I I I I I III (Nj -sj- -j-o* ro"^ msorsj^ro rosO'^Of^ vj-ro -vj-hv.^omoroo^rroisjro^ ooo^oo ono <— I I Ol^llll nO >OnO nOIIOIOIII ^^r—r— II II III III III T— o oo*m om o*oo orsjovj-m ororor*vO o^inj o*mo*'4-rv.foo*' II II I ( I I I »— T— It— >0 I I II llll ro >j' ^f\jo* 0-4" -j-r^ I I I I I I I I o m o*T— T— o*^ 0*0 ^^0*^0 o*r\j- *— r\j o*oom-^mom'^ romm^rro *— r^ro*— *— '^'stmf\jor*v.O'j-'<— -4-^romf*s.r*^^ rooo*rO"^ rom rsj*—j-'sj-rsjo*— ro r— *— I *— *— I I I*— III O I I llvOOl II nO I OO I II III iNj o* "sj-mmhs.'^mr^m^ -j-mr\j-ooo -sj-m-sj-ooo* -sj-Ooo-^o^J-ororooom-j-oor^r*^ *— om*— o* *— o-^*— OO-O**— oo*o *— *— *— <— *— I t I I I III*— III I I I I I I I I T— sO«— *— I II I I III II -NO>0"^i"fNj 'j-fsj"si-f*sj-sj-r*%.*— *— *— f*v.ororo>j-oo mo*o*mm m>j-"sj-oo*—i'00*r\)>^ *— I I I I I I I o I I I OO *— O I II I *— "si-oo mmmo^mmo*f\im mmr^jmo* mmror^oo mooomoomoommr^mmoo-sj-mo o*—oom oo-o^o*— 00*0*— *— O* T— I *— *— *— *— *— «— *— o lllll lllll III I I I I I I I I .— I I I I I I I I I I ro-vj-f\j o^-Of\jm*— f*^-oo ^j-*— oi*^*— rsj-sj-rv.mro mo^JTopviooroooor^-^a'*— mo-sj-vOm mmo**— *— *— ro*— o-^r^ I *— l>OI«—II I*— t I II II III*— iiiioII*— >0 I I *— I oroO'^m-sj->J"0*m>J-o**— o m>J--s*-oo*"^m>jTsj'4-o>J'mo*iNjmo^mo*mmo*4"mo*ro*— ro 0'00*0'0"sJ"0*00*0*oo*oo*OfsjO* *— IIOiii II I III ^OlllIIOi I I II II*— II I I OilIII I I*— sj-*— rNj -si- ro 0^0*00t—>j-m^ r^.*— m-sj-ro mm*—j-moorMooorororoo^O*ro-^om^r*«.oONj-r\jmO'«4-rs.oorsjrors.*— mooooo-rorN-o^ romO'^-mo^ro-j-sj-*— o^J-rv.*— o^^ iii«— I «— I loii^i I i«— I II*— i«— II III I I loi*— II »— oo llll II I I I t I *— Ofvjrsj*— fXjfNjm*— (Njmmm--r*— ro>j-roo>ooooo*— mro •—r«^m^rs.^^or\j^mo*>j-m*—*-'*rof*v'4-o*>J-oo>4'f^^(NjN.oommoo*0(^0«— Ooooroo«—^oo*— 00*00* ^^j-OO-o^ •— *— *— *— •<— *— I I I I I I I I f— I •— I I I f— I «— I I o*— oo«— «— o «— o o o o«— •—I ) o*— I I oo*— I I I I t I I lllll II llll I I I III llll I f\j ro •^mOf*vooO'0^f\iro>j-mor*N.ooO'0 OO oooooor^f*^N.r*«.r^^.p**.r^r*s.rs»oo 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II II I II II III u-t <> r\j <> ^ «— o ^ -r- u-> in o in r\j <> ^ sO 1^ 1^ po >4- 00 o »— N*- I I *— I «— *— »— »— *— «— *— I I I I nO*— I vO*— sO*— I I nO*— fSJ I *— »— rsj I I I I I *— vO^O*— I I II II I I I I I I I I I I I I III I I I I I I II f^ooCT-o rsj m ^in o 0000 00 o 00 r— «— «— «— (NJ rsjiNj (Nl fsjrsj r\j fNjr\jf\jr\j (Vjro inj injinj A-28 — >r o u-»o I I rou-> rou-» I >J-(SJ I I I I I III I o oo rsi rvj vj- -sj-o*— o*— I OO I I I I f^O oo OO o O nOsOO*— o^— 0»— t— u->^ O I or^ •nT -4- -sj- oorooo^orooovO r nO \ ^ \ r— I I I I I I -4- too vOuo^ -"J" fSJ fSJ oo OO I I I I I I >4-oOoO -4- ro <— t— »0 nOlOlO LO I I I I o f\ju-> roro lo o o I i\l<— oo ror^o o t— oo O rv. I I r\j^ rsjrsjf\i-J- oo O -sMO I oo xJ-OvT O PsJ fSj I I I I I >j- ro ro I I OOO I I I I I I I I o oooor^<—o roroo ro oooooi^oo a^oo lo^^o^o r^r^ vO "4" sO vO olo-o <— <— <— «— « lO f\jrNJf\JOJ(NJPOfSJr- rvj vOO OOO -r^ OOO u-iu-t-4-in>i-'4-r^ sOior^u-i^rosOO'J'OOoo o I I oo I I I I nO I I I I ooooo -^-voo o<— rvjroiNjoosJOoooO'j-sr o oo fsj «— f\i «— f\j o rsj <— o (Nj -J- ^oro oooo <— <• Ooo *— rorsj a* ^ rsj «— ro (>j u-i oo oo o ir« u-> rNj oo*— rv.i>jrjfNj fsisONOiNJ<»or\J>0-OOoorosOooro>ONONONOoo»oooor-^^0* roOtn <— «—«—«— I I ^ I vC— I I I I I II I I I I lit I III ut sj- ^ -J- oo oo «— fM r\j o «— o^ >f rs. 1^ r\j fvj u-^ ro >j- <— <— I '«0 I III I I I I III II I I I I I ^so«— I I I I I I I I I I I sOr^oo oo«— •— r\jfNj iNjiNjrg rsjrsjfNjrorororn rorotorn roro^ f\jfsjr\j fsjfsjrsj fSjrgfNjrMfsjfsjiNjfNjiNjOsjfsj fsjrsjfsj rvif\jf\) f\jrsjf\j rvjrvjrsi rsjiNir\jfSji\HNjfN(f\jr\ifNjfsj rsjfvjrsi A-29 O I I OOfSJ'— >OsO>0>0 I I I I I t I I I I I oOoOoOoOoO oooo I I I I I oQoOoOoOoO «— I I sOsO I I I I o0^oO»— oo "J- -sf >4- oo O (NJ I I I I I *— oo o^ r*%. ir» nO -J" u~i oooo I I t— >0 t I II I I I I roro soro 1^ o ^o «— -a- I I I O I I I I ^ -si- -nj- vO ^ -J- rv. >J- OOOOfSJ^ oo I I I I I I I ^ >j- ^ 0 1^ -nJ- rv^ ^ rs. ^ "si- sj- ^0 (\J -sj- lilt I I I I t ( I rou-»fou-iu->ofsjoo >i-r^ro 1— r^mro oo<- OO I ^o*o II II OoOOoO^fSJOO OOoo I O I vOsO I o I II I I I I r—r— I I I «— «— r*. o LO %o trt nO OOOOmOoOfSJ *— «— «— I I «— I til '—III I I I I I I I I «— ^ m fS. sO >4- fNJ fNJ -4- ^ rsj o >J- N. oooo I >0 I I sOvOvOvO I I I I I I I I I I I I 0*o*r^JrJ4>*r^Jf^Jr^loooo>^^\JO^f^lO*^^^^rors.^o^s. rN.ro fsj ro rvj rs. rs. nJ- (\j o I I I nO«— I «— I I til I I I I I I I I oooooooo ir* oo iNj oo o^o «— ofo hs. ro i^N. to ooro I I I oo t o i II It I I I •—«—•—•— ootou-»u-i fosO ^o <\i «o oo^ oo lo •«.*' 'J- nj- o roro a* o fo1^ oo sO fsj o ro fs^ *o >o oo (Nj I I t I I I *— I II I f I I I ^^sO*-^ I r~0 I I I »— I I I I I I I I I I I I I II I OOOOLorv.tno ^ oo >^ >* oo >^ fNj ^ Nt oo oo nO Nt f\j rsj rs. rsj rsj I O O I I vO t I III ^o*lVl(^JiOl\JfOf^J^^J^^JfSJf^JO*o^^JOf^JlOoooooooooo>*f^J^o^xJOo^o*-(\J I I •— *— I *—*—«— I «—«—«—*- I I I I I I I I I'- ll I I I I I I I I I eooooooo O xJ' oo r\J rsj r>N tO O «— O Ooooooooooo »f oO INI sO f\i '>0 '4' eo ^ nj- a* 'O o ^ a* •— O* in ^mro^ f\} 1^ roro I «— I I I I I I I I I III II ^ II •-Ol*Oi«— I I (III <> r\i rsjr\i r\j fNj oro oo ooo vO -"J" o -.r vOfM^r -^rsj nj- s^r-h^ I I t I I I I I I I I I I I I I till I II I I I II iNjrsjfNjfsjrg rsi (\i(\if\ifsi r^J(\|(^J(^J^^J^\J(^Jr^J(^Jf^J r\jf\jrsjf\jrsj (sj iNifsi rsj f\j (nj inj (\j rvj fsjrsj rsjrsirgrgrsj fsj rgrsi'Mrg rsj*\jr\)iNj(Njrs)rsj(\ir>s(i\j i\jiN»fsjf\jfNj rorsi inj fsj (Nj f\j i\j rsj f\|f\j A-30 rsj «— to -stu^o rofNj vO o 0<— ooroo nO r^^*— o ro-4-fNir\j f\jor\jor- I III «— I I I I I I I sO vO O I I I sO ^— I I I ooo I ^ I I III I r\j<— 'J-*— <— rsj corn I ^sO«— I I I I t I u-^ -4- >4- -sj- OoO I -O I oo t o I I III I I I I I ^o I I I o f\J mooo iNJ r\j rvj %oo fNJO«— fNJU->0 I I I I >J- o f\j f\j -J- o^ »— rsj -J- -j- ^s. t— C> ^ O 1^ ^O ro rsj O LO >4- ^ ^ sOsO O O^ i I I nO I I oo^ I ooo I I I II I I I I I I >0>OnO nO I t III I I o ^o lo O rsj »— »— oo oooo »— «— I I I I I I I I ) ooo oiof^ ^ "J" I I I -sT "sf >r vO -J- O -sT 'J- -J- to I ooo i '—O I III I rsj (Nj lo o rNi (NJ ro ro (Nj ^ >4- >r oo r^j fsj ^ T— oo <— o in o Lo -st ^ sO lo oo o^ ro rv. oo , , I o,— II I 1^,1 ^ II ^1 II I II II I I I I I I t oo I I I r^rnoo-sf 'j-oo*— ^^<>roir-^oopoo^<>-^>3''— «— r\J-Nf O^LO^C'^J'*^ —4-r\jio «— I •— «— I I *— ) t I I I ) t I sOO III *o ^ sO I «— I I nO'- I o«— fM ro>4-io A-31 «— u-»o mo irt>a- ro o iNj oro-sj- II ^IIo u-> ^ o N^u-i -"J-lo >a-o tr* to r\j m^o oomrvj irtioo r^otsj u-»*— f\jooir» fsiro^j" o-^^-o rs.«— ->o oo<— ooro u-t'j- rovj--«j- ir> r^sO i^*o I I o^o -OO I I %0 I >o I I I I I O in ho^^ I I I vOvO I vOO I I nO O I I I I I II iNj r\jo (NJO (\IO to pn ^O*- I vO I I I rsjorxi oroo ooo or^oo roo oro oooro oo 4->d- -J--^ -^ro o o «— roo rsj'j-O moOvO >j-f\jr^ «— roN*^^ rou-t oou-i -si-ro >4-ror\j -j->j- >j- rom rorn rom -sj- -j- u-,^^ ^ u-irooo I I I ^0 I I nO II O^O I vO O vOvO «0 I vO ^ >o I I I t I I I I I I I I I I -rsj T— u-io mo mf\j oo fSJoO rsj mrsj mro mo -si- ooo m vO o ro(^ro oom moooo ©oo mro mooorv.oo r\j m OfNjm o r\j o *oo«— m«— ~4-i^ro ro(Njrg>ONO oo oo orororooo OO nJ- OO -4- OO -nJ- INJ I I N. ^ ro fs^ vj- ro m ^j- -4- I O I •O I vO-O I I II oo^«—«TsJoo^rv.o«—j-orsjoooo I I I sO «— >o I vO I III ( oomrsj 'J' O *0 ^^m -rf- o 'O O hn m -sj- ^r^^roro-s3T\j^>d-fsjro-sj-^*— f\i>4-f\j'4->o^^O'—t >J-m>3-vj-^-sj-^-j- - -J- sj- ro m >t >J- *— oommm Psj >j- >J" «— OsO I I I I I I III I nO II II I •>rr^J(>oor^JrsJC^ roc>mr\jmNOr\jro-4-t--- >j-(Njrvjr^orvj A-32 o ^ o foro LOO irtN*- 1^ rsj o*— «— vO It I t I -o I I I »j"io -^a-o iT^ lo I 1 rsjrooo*— t— rsjrooo-*— I fNJfSJ I I i/^ rs»sO r^>o ^OnO o rooo a* irt o >t ro c> o «— oo -4- ^f\j *— ro-sj- oo oro i/^ m oo -4" sO li^ >o »— po >o o u~i »— o u-> (Njm ^ vO -J- ro vj- po T— >j- ^ *— »— «— sO>0 I I nO I 'O-O'O II II II II III -T— f\j fsjo rsjo ro u-i u-» o o fo rsj oo rv. T— >j- >j- o u-> -iri ro u^>4- sor^ m-^r u~t I I »— I r— nOsO^O*— ( I III oo o u^un • in-sj- ir*o irxNj *o >0 ho*— *— *— ^ (\i ^oooo nO ro T- Psj ro -sj- >o u-ni-> -sj- oin u-i >j- infoo -sj-o «— •^fsjooooot— oroinrovj-*— lo I I <— r- I I I I I t— *— tNj - I «— f— I I oo o ror- o voroo r- ino r*^ ooo (\j «— nO oo in -rNj fsjinOfNjo oo^ ino r^. r^. ooCMNjm -st oo nO o «— t r— I f— r—r— II r- I ^ro <— III rsi < I I I I I in o <— ^ r\j t— oomoo O^m mm sj- >j- >j- in 'J- o rv oom INJ ro >4- >j- «— «— I I I I I I T— vO<— ^11 III ^ O nO»— I sOvOr\j I I I I I III II fs. mooin vj- o roin o ooo oo ro OO-^OO-^lNI ro oo roooin >4- orom^o rosOo «— I I I I r-m .— INJ t— I I t— rn I ^r\j i i i i rsj III I I I III I in oo "sj- rg mr-^ ps. o CO ^ >4- inin i^-si-poin-^r-^fm *— lit— I >00'^ I I I o I >oo I III I I I r\i in o INJ in r\j o %a- o -^j- o >t o o^ f\j »0 inoooo Oooo -nJ- o (Nj ro "sf o I I «— II II oO nO ^0 nO II «— m II I I I I I I I t roino**— min-sj-in*— •sTOOrorsjin^J'-sj- <) t— -sf -J- no >4- vi- %r -sj- -sj- ^ ^ >j- ^ ^o^ «— 1^in (> «— in ^ in *— inoo I I I I I t— I I *— I «— *p*o O nOnOOOO OOOO I I I I I sO I II «— sO II I II III I I I I I I I I I I II I inooroo^- oooroomorgro ^oo*o *— o in rvj nJ- in -^^ -s^ r\j >3- iNj inro o^inin nO <— in %o o inoo o ^^ <— I rsjf\j<— I ^1 I ^1 I I I sO I I II*— I I I I I I I fvjrsi^ I t— I fNj I I I I I I I ro o«— rsjfv. ^ fofo oo rofNjin o in t— in -J- in in -J- ^ fNj f\j roin >4' -^f -sT rNj oo inin 'J' «— t— «— I t I I I I I r— I i I I I I t I I I I t— vO«— II vO I nO*— I I OO-O^ I t I I I I I I I I I I I I I I ^ rsjin^s. oinininino inoo«— rvj in o^^ *— u^rs. inr^sO ororninooo «— oo T— II I llll I lllllt— llfSJr-l r— II 1 I (NJ III I I I i\j ro^oo oooo >J- r\j oo "sj- -sj- -J- o in «— in ^ in fsj oo i%j r- >r ^ >r ^ roin -sT -st -^r oo inin t— ro o f\j oooooo «— I I I I I I I I I I I I I I I t— I ^ >ooo^ II II nO oo III I >o rsj»— III till III II III I I oO'Or\i-vru->r\j0^oor>^ooNororvjLn-«j-o--J'-^oor^oo^ *— *— «— |«— I I \ r- I r\JIII I*— vO l«— ll«— ) If— (NJ I f\J I I OOin ooo a* o^ r*^ in f\j ro 1^ ^ oo (Nj OO r\j o in -sT o «— ^ oo in oo oo oo ^^ «— '— *— »— I T— I I I I I I *— I I »— '— '— I I vO<— >OvO II II InOIsOII O >0 III*— •— sO I I I I I I I I I I I III III II II I rv.oo *— iNj ro-^in-or^oo OO ooo r^rv.r^N.rs.r^ rofo roro fo ro rorotvirornm (NJfNI rsjf\j (NJ INJ fNlfNJfNjrgiNJINJ A-33 — ^o ^o I I rofsjoooo >t- rsj ooooo I I fro rgro rsim roofNj oo ooooo >JTNJ fsjrsj r\jfNj I I I I lit I omoroir> ro-j- ro>j- -J- lOsTt— I I I I I I I I I I I ) I m roofsj roofNi rsjro oO>*'oOu^O^ ro t- rorororo I I >o-o I I I II I I I I I I I ro -sj- ir> m irt ro -sj- fsjoro rsjoro f\j^ I t I O 'J- >4- "sl- O^o oo o "^lo^^o f\jroT— oo-srr\jo ro ro f\i I I I <— rorororo i i i i t— II II I II u~* rororo mrsj rof\j >j- r\jor\jT-^ ou-ir\ju~tsOoONO'4- «— I I nO <— I >0 I I I I I I o roo^oo -N*- ojo (Ni -sj- (\i -sa- •OoOlNJ »Ooorsj u*»sO i/*»nO o roo'— oo oooo ^ <— o oo o t— rsj I I «— -o I I I rsj I f\j I T— f\j ro ro vO«- I t- I I I I I I I I I OiT* -sJ-OO >a- ^(NJ*\J 'J- -sT -^J- -O I I I I I I I fo ^o oorv. i\i f\j o o*— o o«—o t— t— *— ^ o ro<— ro<— rsjiNj r\j(\j I I I I I I I II II II II -4" Oooo 'O o >o «~ oo *— ooo -oOfNJor^-"— o r\j oorsjoooo ro^ro ro«— ro r\jrsj (sjinj ( t I I I I II II II II 0«— « J-Nj-OiO>J-fSJ(NJf\Jf\JlNI'4- (Nj ^ 'J- rooo ^ ^^ u-> OO t 0«— I I *o 1(1 II oo I II II I I I O ^OOO'Oo >o f\J *o fSJ o irtro-sj-vj-iofo-j-Nfoo oo o <— oo ^o fsj o T- «— I «— (NjrsjfNJiNjro I I I I I II III III II rv-o*— ^«-^ j-^j-inJ'J-o*— 0»— i/^ O *— «— O Ni- *o ^ rsj iNj ir» oo sO •«4" -J" ^ ^moom vj- nO <- 'O'O*— O I I I I «o I sO "-O I O I ^OnO I O lilt III I -4- o ^or*- NONOiNiw^foooroooo fs^ oo >o oo ro ro -sj- mro -s»- fsj «— I ( *— rooororvj ro fSj forofo (Nj ro fv-i ro rn sO ro »o I I I I I II II I I I I I I «— rsj fsj -4- «— fvj fNj >*«—«— ^ «—«— o «— IN) o oo in «— ^ ij^ ^ fNj ^ o r*-v oo >t ro <— I II I I vO I I -o*— I IIOII IIOIOI III I I I I I I 0«—f^O 'J'O-'O'Oi/^OtOOf^O oo 'Or^ oo 'Of**, oo *o >00 nO o nO >f ro iNj fv^ rsj o N. oo rsj oo oo rsj «— rsj psj rx. oo 'J- (Nj o iNj fsj o «— «— «— «— *- f\j ) <— rorororofo fororsjmrorofsjroro mro ro rofsjrorof— *— i r- i i i i I I I I I I I t II II I I I I I I I I II III »— O OO i/^ O -4- nO oo ro »0 ^ INJ (SJ oo in N. O r- «— lO lllll IInO I ooo j'Or^omoooooo o i/^ ^o roo o «— in ^O «— <) ooo (Nj O rsj ^O N. ^O inoO o ^ooo '4- o ^O •4' O -J" o iri -4- ^omo fsj r*. o ro in o «— o iNj o 'J- o m 1— rs. oo I sO I ^£) I O I I I I I I I I I lllll I I — fS( ro oo o •- «- mmo<— rsi fsj rj fsj f\j iNj iNj fSI fSJ fSJ fSJINJ A-34 o ^ «- 111 I vO nO-O*— t II I^Olll II -sOfNJ f\j f\j c> o f\i «— tofsj moo fNJO I I I I I sO t I O'j- opsjo^nO orsj O-sj-o rsj <— -rsjsj-N.oou->t— pgro too*— »— I sO r- I 1 I -Psj moo^ rsj I I t I I 00 Or- rsjro000 T— t— I II %o»— III II I III 00 p>^oo nO »— »— rsj 10 vO <— rsjoo f\j oo>J-oom<— r^u-^ooooootnT— oo o - T— nO^O 10 1 I I I ^0 nO I I I I I I III o- I I OfNJfSI fsj o u->rNjOir>sOOfNj*— roO«— u~tu^or^ir>'sj- oon*'— ixj I I (NJ(\jrsj I I I I I OOf^fSJ PsJOO ^OnO I I I I I I roooo orsjo fsj^ooooor\joo«—mooo»— f\JOO»— oooo^^Ooorsj'O •— «— ) \ sO I I II r-f— I r- rjo^0 ^ i\i (> po fsj rsi o «— o roo iri o »— a* ro00 fs( o <— u-» vj- *— r~ t— ^vO*— «— »— I f— I III >— sO I I I t I I I I I I I I III «— *— roin o o fo N*- *o (\J 10 00 oo »— o f\j 00o <— »0 o *o ( I r— <— 1«— «— I *—O I II '—I ||l|»— I^T— I I II I I I I II 111 <— fsj to (NjfsjrsjfNjfNjiNjrsjir* u~> u-> fvj fSJ fNj rsj fs»r\jrsjr\jfNjPsir\jf\i A-35 — ( I I CT^tr* oooo* >*oo too OfSJINJ Looo ors. ofNj sOO rofNjsO I I I I 1 Lnh«s, N^ro -vj-sO vOo T— oro I rsjsOO^*— rooro rvjoo roo rxj-j- I I I iNjoo C7^f\j-vj- roo f\iro o»— nO LOO OO -nO roo oo o*- nO -4" OO^' I oro -sa-oo orsj I I III o(Xj oo vDoO u-ioo l^rOr-fvjOO I I I I I t— rsj r—4- --J- vor^ I I I I I I o>4- •^v3-oo-«4T\j oorof\jo<— ro oo -sT ro ^ -sj- (NJu-»oOC\JOf\JOoOoO «— f\J oor^Looo - 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I I I I ooooo o Loro o sO O ororo oo oooo oo orjfNi ro roooo oo I I I I I I I II I I I II II I I I u-i rv. T— r^ fsj o nO sj- rs. sOO<— r^Lo sO ro oo ro -sj- o sj- Osj-in*— I I nO»— <— I I 1 I I I I I I sO'— I I I III I I 00^00»— OoOsOsOiO OOOOiOOf oooooooororooo o ooooro sj- oooo ooo oooor*. II I I sj- ^ ^ oo o ro nO rs. si- si-sj-sOsO-sj-s4->j-^rors.-j- sj- sj- -4- sj- rors. sj- sj- sj- sj- sj- o sj- sj- si-sj-sj-sj-o OsO^OsO I o I oo sOsO I oooo o sOOsO I sOsOsOsOO t sOsO OOOsO<— I I I I I II II I I I I I III I I I I I II I I I I ooo <— oo -oroo os. OrOt T^OOOOOnOO sJ-O OOOOtO «— I I o I I I I I I o ir^ o ro oo sj- *o ro r-s. o Os. >o ^ oj o sj" rorooo ooooo^O <— oo ro (NJ rsj rj oo ro ro ro rsj ororo osjroojroooroooj*— ooorosj-oor^roii^r^oooororoooorsjosj f\jr\jooooj «— Or— I T—^ I I I I I I I I I I I I I I I I I I I I I I I II III II I I I I I oooo oo rs. 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II fsj rsj 00o (\j >o1^ "4" 00 rsj *o vT fNi 00 nO rx. ^ ^ vj- <> <— lll>Ol'— II IIIIInOI II 01 ^Ol lllvO O \ I I I I II I I III .11 oo 1^ <)<> I I I I I ( t I I I II II rsj <> >o T— ^ >^ Psj 00 nO in fNj c> >o 'J" ^ >d" «— ^00 iri ro I <— «— «— I I I I I t I I I I *— I I •—I sO'<— ^ nO-O >o I nO I I I III III II I I I I I II A-55 OO otno<—oof^LO OLTtr^iNjoo CTTor^o OLOoc>i/~>in o^fsjootn^ oooo^toooxO oo^^r^f\j *— O'^fto or*^N» »— I I «— til II III »— III) I III I t t I r^ro-j-^ vOor^^ ^»—j-ooooro vooirioo^ >j-roir>oij-^r^ r-,ou^f\ju-i oooooo^-. >j-^oo «— 1 t I OO It-nOOO If— I sOlt*— I III t— I I I I I <— I I T— r— nO I I '—I II nO III I II I III III NO'4'>i'«— r^ooro'j-oo^ oom*—oo •^ow^oo oo^»— >o^Olo — r-v.rxj -^rO'— rooo-j-ro ^o^ooinrv. ooo>4"Ooo o-^r^ «— I I vOO'— I sO<— I 1^ O I^O) OIInOIIIInO >Ol I InOII I »— r— 1 ^ II r-l l|r— sOi*— lit— ( I llll ^ i«— I I I I I t I I II I I I I I I I T- I I I I nO nO sO II sO*— II O nO'i— I ooor^o>ocoT— sOsorvj-j- oooooorvj rno*— 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-r\j -sT*— r\ju-t>j-irtf\j »— oro^— sO u->ro- - I I t— I I I t— I 01 ^ lit— II I*— It— lit— II I I I I llll I III fo^oir»r\j-sj--Na- <— f\jrou-»o-^-^rO'— O fNjrxjrsj-j- Lor^tr^t— >4-u^^rooo<>*— iNJir^i^-j-r^'^ounO'^OOin'— 00 I 01 O I Oil lllOIIII Olllt oil III llll 01 III III I ooo>j-ioroo-4-mrooo oroo-j-rvjOoorMO-^*— ^000 rNjooooooooor^or^Orsjooooorsjoo^poOLnrsJOOoot— rsj o t— «— 01 II t— I t— I O'^^ I I t— I I''— It— I It— I lit— t— I II llll I I III II rsju-»-«j-t— «— -j-rNjo^rxj mfn-sj-om-J"ror^mO'J">4-'J"(Nj|v-( ooo>J"0*4'>^ ^-^r ooo-^r t— ^OLnO'4^^'*^^^lJ^^^•*Jo«— oro-sj-rsjo^ o 10 01 I I II Oilil llO 00 OIIII OlOIIO IllO <— I II I llll III I r^ir>r\jf\i(\i^ir\^GO^r\i(\jt^(\it^c>(y^r^<::>^r\i<> t— t— ^d" O 00 >j' 1^ o00 "-J- '4' i/^ Lo00 o ir> 00 »— »— I I I I o II 00 oil I t o*— o 10 I I O"— 1 ^o I o I «— o I I III I lilt I II III III I A-59 o r^toioo -4-ro(XiT— -vj- I III -vj-o omoroorsjo orsjoooo ofsioro oroorooio-j- «— oofMo ".a- o u-« 1^ nO »— rNj o *— «~vO'— I I I I III < 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sOsO I I I sOl*— 1) lOIII II*— I *OnO I O I OOO I I I II II I I I I I I I I I «— «— oo >r ^N, f\j ^ <> fo T— »o >o (> -sj- ro iri ir^ o -si- ro i/^ sO 1^ 'J' »0 ^ ^^ «— »— «— r—f— T— I O *0 III I vO I I -O I I I I I sO*— nO I I *— O sO I I I III I II II III I I I I III II in lit A-60 — — o •O ^K» (SJ OO -O III %o ooo ro "s*- fsj o I I I 1 I III III O u-» >0 O INJ OO^^O Ooo ^ <— O sO oooo «— O -^s- I I I *0 ^ >* ro ni- 'J- rooo nO I I vOO I t I I I I u-> >^ nO o >4- ro vj- <5 -sj- fs^ ir> >4- ro -sj- I I OO I I nO o III II I I oooir»< sOOooolO'— » ooino^vO choofNjoo*— Ot—000*—OnOO*— «— or^o«— 00000 T— ooooor^o I I I I fNj 00 IV. ^ ^ fsj 00 -sj- -^r -sj- 00 00 oo -J- -J- " oOOINJOnJ-*— oO^rMfvlVOoOvOOOOOOOOO^O oOnO(NJO OoQvOO -si"*— orvj I 1 I T— nO o I I I OOnOO»V'— ^oo -o00 00 -^r *— ^ 'J- o IV «— fsj rv. o nO ^ I >o I sO*— I I I II I II «— i/-t o000000ro rsj ^ *— O sO 00 (:>rMOvj-o^co-^-Nr >0«— I II I I I I I I I II >OvO >0 I I *— I I sOO I I vO I I I II I I I III I II I «— rv >4- o» 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I *— r- I i t— t II II T-|r-( I I f— I «— I I I I I I I I II I I I I I I I I sj- «— oOOfsj s*- ro ooo sj- oo si- r\j si- f— rn «— mroofo sO ro rvj rsj o »— o >o roo «— r\j ^ o» ^ lli I I I I «— I i«— i«— iiii*— T— I I 1 %o II II I sj-sj'oOsj-fs.oo*— «-roo«— ogc^osfoo*— ooo«— rNjc^rorsj*— (>oro-srunT— rou-^«— roc^O^ lO'i II I iinoi I III II II II iivoii T—r—o >o I I oil II oo I I A-62 ^ o 0«— O O^oo or\jr^ oo oooo r— *— t— I I I I vO -J" oO(\JO >J--J-^>JTOsO'— u-^ I lit— vOnOnOvO I I I ^OOnO II II till I I I or\j o Ot~o^ oo-o injoo rsjvor^ oosor^O «— nO nO I I I III I sOO nO I I ^ III 1 I I ^ I I OOO I I I III p^rsj -Of^i^f\J"^u^OrNjoos0^u~> >J-0 vO or^ o oo ^ r\j 0<— OOt— "4- in ^ or\j oO -d- I II I II iNj «— rsj nO ^ ro «o >J" oo ro in -4" ro I I I oooooooo CO I O -4- >j- (Nj ^ -nj- II I I I I I III II II I I I oooroooo-vTooo-vToro oor^txDCM^or^o -j-ininm'4- -sj-^ -4-<— ^ nj-lo vt*— >d- -j- I oIIIo o I sOIIIoo rv- rsj ropofo oo rv o o in in fv. -sj- oo nO ^ nO oin ^ nO oo %o 1^ -4- rsj r\j oo rv o «— o fSJ rg o r\j ^ -sj- iNj rsj -4- oO iNi -vj- in oro I OOO nO I I I O III I I rosOOfXJOOOvor^fNjorv o «— o -4- *— ro oo ro *— o ro ^ oo ^ ro t— I vO«— I II <— I I r— I I I I I II ^ ro -4- ro ^ -sT -4- 1— min -sj- <5 in (Nj «— o '4- ^ "4- (NJ -4- in -4- •4- ro I I %o I OOO I I O II II oo I I oo I o I I I I I II III roro rv^ »— fsj oooo 'O ro r^. ,o in ro %o oo oro fv-i rv^ fo <— III I I I sO I II III I u-1 r^i '4' »— Oo in ^ in fv-i o %o roo -O ro i/^ -O o in -4' II II II I sO I I II II II o in nt oo >i- "4- o *— oooo «— o (> oooo fvj ro f\j inin o (Nj vj- I I I I I I I I I I I I I II I *0 >*• oo fooo inoo ^^oo inrn rv-i roro o to >4- oo O rn ^ -sj- o i/^ «— '—«—'—'—»—'—'— T— *— «— t I I I I I I «— I T— I r— III I I ^O I I I ) I I I I I t I I I OO 'O OO ^ >r in rsj o ro rs, in o* ^ to o «— o ro r«*i fv *— O* ^ O «— I I I I r— «— «— I I r- II II oo 1111 II III lOlll II*— ^ ^ vO*— I r^oooo OOOf^ A-63 ^ ^ ^ u-» Of\J o 4- o rsj oo li-irofsj I III O O ^ «— o>o«- rs. oo O Ooo OINJO* oo r— f\JO»— «— oir»oo I I I I <— -sT oo I oooo O i\l fSJoo 0^0>4-00 nO<— >o I I I I I I I ooo o«— 'j-rsj u-1 ro o sl-oo O O ON^ >J- OO ro<— o o ^ O I I I I I I I ^^oo >J-t— O oo <— >Ofs)NOfNjT— ro I Or- I ( I *— >o^0^o^ir\^m oo o o o ror^ rooroo»— O* O oin '4->J- oo vO oooor^o*— ooo ro ror^t— o o oror^o oooi^ ro <— I I f\j %a->j-^-si->i-sj-f>orotr\ fNjro -sj-ro I oo i O I II I I I I I I I sO I II OO II II OO I I I Oil oo o I I I I I I I I I I o o fsj(\i^o rj*— f^o sorv.rohs.rooo-si-ooo >^ oo-j--s4-o ro o»J-o^oo i/inO'— o o r^-^o^o rsjiou-if\j oorof\jrof\jouou-^o^r— c> o *— nOOnO^ -vi-ro-sj-fsj o>j-*— -sj-r— o>J•Lnoor I \ \ T— I I O O II o O >0 >o «— I O I i^'^^oooi^ooor^ >ooo 0«—0-4-00 ^>4-000 ^ o ooolo (\soino >d-ro<— roT— ouo-j--sj->j- >f sj--s3-ir>^>4- o »— «— I I nO I II ooo o oo I I I I I I I I I r\jfNjoO*roooooorv.oo ooo o rooooo oo^u^ s0^o<—o»—oroooo >4- u-iunoo^>j- r\j o-nJ-o-j- 'j-r^ror^ oot— vJ-t— -sj-u-^Or- NO >o O i I I o o \ oo rofNjooo^j-roorofNj o-^J-o-^oir-roo^^oo lo i/^^— lo t— I I 0«— I I <— III I T— I <— I I I III III *— LOLnoo O oio>Troro o I I rsjoooo^oo*—OnO 0<\i ir»Oi/^oorsjO oOOu^O(Ni o -^>j-oooo>0'— " I I »— I ) ^ I I III I I I oo>d-NO^-srir>vOO»— ooro oo o f^i^vOOOf\ju^u--»sO OfororofNjo-^-^a-ooo^J-oo^t—ru-»T— I I I ooooorooooooo^oo %OoO-000*— "'J'CT* 00**00 t-vO «- I I III I I I ^oo vj- nO-^ ^o^ vOio >r >o o ro %r ^ o rsj oro >t «— ro ro OO ij-^ r\j r\j (> Psj >j- c^ vr »— "J- I «— *— I I I I I t— I I I *0 >0»0«— sO T— O I O*— III III «— o o»— II III I II I 11 III III Or- roro-^ir^ ON-oo o«— f\j ro nJ-u-i o r^oo «— ^ ^ T-*— «— fSjiNj r\j (Nj fNjfsj rsj Psjrj r^(^ rv.f^f^i^ r^js^r^ r»^ rs-r^ r^ rs. r^rs. r^ r^r^ rohn rororo ro rororo ro. roro ro ro roro ro roro A-64 o o orj oOsO rofsjor^-Nj-iNi «— o 1 1 1 1 1 1 1 «— »— 1 1 1 1 1 1 t 1 1 1 1 f^r^ vo oor^ vj- OoO-«4"LOOoO «— o OO 1 1 1 1 1 1 1 -— o sO 1 O 1 1 t 1 1 1 1 1 o«— <— of\j«— «— ro Ou^-sJ-oOlO*— «— moo o ooo *— oroo ^fVJOO to u-^ ooo or^ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 I 1 1 oOlOO ooo 1 1 1 1 »— <->o o 1 1 O 1 1 o 1 t 1 1 1 1 1 1 I^O r-v.O'— roo»— olo^— o o ^ f\j (Nj u-> o ^^oo ooo <— 1 1 1 1 1 1 1 1 1 <— II \ nO<— I 1 1 1 1 1 1 1 1 oroooo 000o0>0 O*— oo ooo v3-r^ vj- ^oOfNJsO INJ sO'— sO 1 1 nO 1 1 1 1 O nO 1 sO o 1 1 1 1 1 1 1 1 1 1 1 1 orsj ooirtro OOt— oo OoO-J- o ooooror^in ' ir^ro*— OnS- I 1 ^ 1 vO III 1 1 II 1 1 1 1 1 t 1 1 1 1 1 1 'j-'sroo oo oo vO -o ooro O >*-Oh^rN.fo o o 'J- ^ ro *00u^-0 1 1 II Oil 1 nO 1 II 1 1 1 o O 1 1 1 1 1 1 1 1 1 1 1 1 1 — o<— O^lOnO' oOO-sTO ooo «— ooQ u-> oororo ooor^>4Tsjro oo- 1 1 1 1 1 1 1 11^11 1 1 11 1 sO 1 1 t— 1 1 1 1 1 1 ^oo oO-J-O"^ oo "sj- o ^j- u*» oo oOOoOh-.oOO OOoO o >j- sO o rv. >j- ^o oo u-»o 1 1 1 o 1 II 1 1 II 1 nO 1 1 1 O O 1 1 1 1 1 1 1 1 1 1 1 *— oo ootno oO --J- oo "-3- rsj fsi ^ o rv. nO o vO fsi 1 1 1 r- 1 1 I 1 1 1 1 *— 1 1 1 1 I 1 1 1 1 1 1 1 1 1 "^r^T— oo nOOoOoo iTioOnO so oo -o loooo oo >j" o oo >4- nj- o sO *o u~* u-> no o ^OoOvJ- roo «— 1 1 1 1 t r— I \ l<— lO sOl O O 1 O III 1 vO»— sO<— 1 O 1 1 III 1 1 1 1 t I I I I I II vj-O vj-fv^ tr>o>4- >j- o oo ooo ir^ m " I I I I I t— I I o nO>0 o nO I sOvO»— I II II I I cNjiri^o (\JOO <- ^o<— I I I I I -OO-J-'J- "sj-0>4- o u-> oo o >o O rv. o T— «— I I I I I >Or\JOOOfNjN- rNjrv.ooo oro^ -4- i^oO" «— I I 1 *— I II II I >o I I T— o I I I I I 111 II ^OoOoOlOOoO-^J",— oorv.vO ooo oo r\] oooo «— oo "nJ- -J- NOfsjOsor^oo I I ^1 II I I I I I I II I I I I u~t "sj- >j- o >j- fs^ u-t -J- oo nJ- rs. oo OlNJ-si-oOfOOO I I nOO O I I I o o \ II I II oo ir^ O o ^ roooooo o vj- orsjroooor^oor\joor\jf\jr-oooo I III I roT— fs^oorooooooo^ oor^ OO'— ooooovOoroooroooovO*— «— rv. *— oo -J- ro oo ^ ^ 'J- o OO ^ OO 1^ r^v o^o fsj >*-r^ -si- ooo^o -*t o >j-ooo <— I I nO I I I I III «— O O I sO o I III II I II 1 N.OOOOoOf\J -sj- -sj- o-**Tv.oo^r^oorof^fsj'J'0'>i'oors.>j-N4- ooooO'— o-^fsj-vj-ooo'— <— oooor^o O >4- ooo ro I «— <— «— I I I I I t o oil oo I I O I I I I I I o«— I I I III 1 I <— oo o »— (Nj o N- «— fsj r^. «— f\j f\j >4' o o INJ o fsj r*^ oo <— >j-ooooorsj^*—rooo«— roo OoororooO'— O-*— «— I I I «— II T— I I I I I I «— III I I I I I I I I II II II I 1 I «— oo oo o ^j- f\j rsj o oo r\j nJ" rs^ oo o >4- I «— I o I I I o I o (Nj -nT oo oo tooo Lo oo ^ to oo rooo o^ vT o ^ ^ m ^ m o ^ >j- o -^i" oo «— m oo ' «— I t r— I I II «— I I I »— I I I I I » «— o«— o o«— o oo o»— oo»— o*—*— o »— I I I I I I I I I I II I It I I I I I I I I I I A-65 ^o O- oQr—T^ orsjo oO'— i^co-nJ-t— of\jo •— I I vO I I ^OlO II III IIvOInO*— %Ottl IsO I r^roT— ohs.*— -4-^o-4-roro u^rsjiNjooisjoo o^nOinio oo>4-r>* 00 00000 fsio ir^ooo «— r^r^*— oou^o^o o r—000 o^t^ t— 000^ " I «— I I I I I I II I I I I 1 I OO-^ T— nO I ) II vO^OO OINJO OtNJ I I r\j 00 t— roo ir^ r\j oooroooo «— u-> ^ fsjo«— of^ 00 nOOOOO oOtOf^ -o 00000 oroooo-i-o t— o*— I I I I I I I III 00 oo -J- 00 rsj in rsj -4- po T— t— rsj in ^ m*— vO^ooo*—4-orsj<— orsju->r^ -J- 000^ rv.r*vvO O'j- r^ropoo oiNjrN.r---^f\j 1 II I 00 f\i o -J- roro I 00 I 1 t oo "sT o o oo00 o rsj "J- o ir> -of^iNi o-^ooo rv.r\j O^Of^-O-J-O -J- oii^ir»o oovor^ Of\j O hs. 00 ^o ro ii~> I I I roooo (Nj oo 00 o00 I I >j- «— ooooor^r^r^oO'J-ooooor^rNir^o^NONOf^ -j-ooroooo o r*^ r\i "sT -sj- o -sj- O-^r-vj-vj-or^-vj-oo-vj-vj-rxj "vj- >4- ^O ^ --J- PO t-r ro I I I I I ^ -o*— *o t I OvO I I >OvO I I nO>OnO«— I vO I vOO >0*£) I -O-O I I II I I II II III I II II II vOr- 000 f\j ooo 000 vO 000000o t— Lo o rs» ro o> I I «— ^t— I I I I I I I O'CT^'^ooo^roooor^ o -o ^ 00 vO o o fsj «— *— I I <— sO I I I O oororv^T— orNivOoocoror^^r^or^rovOoo*—o^^ornsj-oO"^r^fsj«— ro^<^ ro 00 ^fv. 00r^oo -sj- t *— »— <— III «— I III II 11 ivOii «— I «— II II II I I I I I I I o 00 o 00 Ln -sj- "sj- -o ^oo r\j -J- ^ in t— I nO I t I I I o c> rs. (Ni r\j o >J- 1— I I I I ^ I I I I I I I I I I III rooofvjinooo<>o*i^oofsii/^oooooo*oj*— rosOCNjrorsj'— *or^Q*oin»— —j-i^o I I I I III I I I t I I I I III 00 f\j «— 00 >j' -J" 00 00 ^o <>o *— 00 -sf >j- o 00 roloo 00 fNj 1^ oo oo t— 00 iNj in «— «— I I «— «— I I t— I I I I I sO 1 It llsOillll>0'— I I III <— O-O I t I I I I I II I o00ro >^ o ro rs. o -nJ- oo r*^ ^0 r>o o rsj po fsj fvj o »o >o ^o -O 00 -sT. o in o O 00 opo 1^ 00 po sO -J- o r\j (> fo >o -^t t— *— »— <— ,0*— «— <— *— I I I I I sO I I I I I 1— I sO«~'— I II^O tl»— sOlft— I %Ot— I I I I I I I II I I II I I I I I 11 III T— rsj A-66 ^ o t «— irtoo o o oo f\jr\j OvO ro>o rorsj o vj-oo o *ooo*o -oo -«j-o ^ -N*- ooo-^oo -nT -nT -sf 'sj- ^mo u-ir\j rsjf\j rvj^ ^ torn ^j-^ vO I I I I I O O OO II I I >o ^ I < ' I I I 1 I II 1^ too oin o->f vO-nT u-»f^ Loro soor^ -o r^r^or^ f^N.ooo^u-too oro r^o nO I I I 'O 1^1 vO I I r\j ro >oo ro-«j-r^o roNOi/^r^ooooosO oo r^roo oir>f\jo *ou^(NiO'4-roo -j- roo om r\jLrioor>.tnr^o- t I I vO f— I <— I I) llllll I I IsOl ^ o rsjfvj oooo*— oir>>4-NOu^«— orsj or^ vOi/^f^ O ro>d-"»3-ro po^j-^J-ooooooo 0"-4- rou-> f\jr^NOoror^rv.mo I t— I I I I I I (I ^ I I I I I I I r— I I I I I I f\j "J- "4-^ 'j-rorsjrNj '<^Lnr\J'J(^J^ooo oo -si-fNJO o oo-4'-j-oo •sj-oorsj-j-'^j-po^j- >j->j- f\jro o oonj-oo oo-sj-r^o oo-sj-rsiO'J'-storo or\j <^ ^ "si- o «— LO oLO i/^ Ln I I I I nO I I nO I I >o I yO>0 I 1 I I I I I o r^ror^o r^oo*— >Oii~>*— oroo^^'sa-*— ro'*a-of\jr^ o oooo oo*or\jrNj<3oof\j oo or^oooino^or^ofsj ^r-ro>4-ro^oo>d-o<—j-" in m*— roir> 'J-*— o-j--j-f-o-4-^0"sj-oo-si-^*—i-o-j-oooo*— oo-<»- vS-'j-m^^iNimrorsj mroroo -4' roto roun sO I \ O O O t O O O \ \ nOII>OII III III I I LTi OOoOfNJ O-J-OO s*-^oto "J- >j- o -J- ^oo r\j o^ (XJ vO ^o >o IN)oo nO oo oo rJ -4- ir> iri vj- O O O O \ i III I*— I*— II oil I I I I II II (\. o oo m oofNjT ro -J- in ^ T— u-( ^ ^m I I I oo i I o >4--^u^(Nj-sj'>4-u-^ro>4->j-inin-si-or^>4-iNjr\jrNjf\jr\jr^ —j--sj-mm I I I O I I oo lOIIOII I II It— I II I IllsOl I' I I I I I I I in -^j- iNj ino fvj oo in r\j in |v-i o r\j ^ fSJ o ir> f\j o rsj ooo t— <— I t— <— f— I I I sO I I I III III lllllllllll llsOllOl ^ I t I t I I I I I till fo ^ -vf rsj o r*^ f\j rsj roin f\j >j- f\j r\j o oo «— rsj I I I I I tOl nOI II I II I I 1IO I II I o I I O I II II toforv^^ooorof^vTi^o*— ooro^ON3-^in«— "s^in*— «— o^ro^inoro^'j-*—i-o^-J-ooinorororoeoro^s-r^-j-^oo^Oinooro-j-oro I III III III r I I I O I t II O I *— OO O I oo I I I I I II I O I O I II II I I I I I I I I II O ^ A-67 III II Oil vO >-D I 1 I I I II I I >o I lopo fs. rjo iNJ oo rooo rsj -J- rsj fsj (Nj ^O^o ^ --rf- nO o ^ ro fNj ^ II %o t >0 I I I I I o i/^to u-tfo r*s. rs. ro *o o fvj ir» III I ^1 «— or^. %0 >o ^ to rooro -J- sO«— II I I I I nO I I I ir> roro >3- iNj a* r*- ro ir> rj o» fsi o I I I I «— I I fo rs. oO ^ ro i— fo nO 4- '—I I I I I I I -o I I (NJ fSj APPENDIX B GRAPHIC REPRESENTATIONS OF CHARACTERS I I B-2 B-3 B-4 B-5 637 : 538 : 639 : 640 : 541 : V I I I I I I ± I I I ± I I I ± I I I ± : 547 : 548 : 549 : 550 : 551 : 7557 7 558 : 559 : 560 : 561 : B-6 B-7 : 4 : i : : I I I T I I I T I I I 'T I I I T' I I I 620 : 621 : 622 : 623 : 624 625 : 626 : 627 : 628 : 629 I B-8 !• I I I r I I I I -v I I I -v I I I- '660 : 661 '6E2 : 663 : 664 9 U iWVi TV I I I I I I I' I r I' I I ± I I '66S : 6££ : 6B7 '668 : 669 h) I bJ ±'^1 1 1 !• I I I ± I "^I I I I ± I I I- "610 : 671 : 672 573 : 674 !• I I : 675 676 : 677 : 683 684 e •I !• •I !• 696 6B7 697 090 !• I I- •I I •I B-10 B-12 : 763 : 7EB : : 75$ "1 I h ! K n 1 1 • 1 1 T' 1 1 1 '759 7758 "760 "761 : 762 H [ \\ 1 u : 763 r764 r7B5 "766 : 767 : : f t N - [caj - ^s - K "796 "797 ' : 768 [798 7799 y roQo "801 "602 "«0J : a04 < 1 > • B-13 B-14 B-15 B-16 B-17 B- 18 '' 1 1 1 V I I I I I I I I I Jj 2: : 1 IIB : 1119 : 1120 : 1121 : 1122 B-20 B-21 I r I I I r I I I r I I I I I I ;r I I : 1 163 : 1 1B4 : 11 BE : 115S : 1157 ; 1163 : 1 164 : 1165 : 1166 : 1167 : 1 16B : 1 169 : 1 1 70 : llTl : 1172 : 1 173 : 1 174 : 1175 : 1176 : 1177 I B-22 I i B-23 y -y I I I I r I I r I I I I I I -v I I I j_ : 1207 : 1208 : 1209 : 1210 : 1211 : j B-34 B-25 B-26 B-27 B-28 B-29 : 2110 ; 2)11 : 2112 : 2113 : 2114 : 2115 : 2116 : 2117 : 2118 r 2119 B-31 I' •I "2150 : 2151 2152 2153 : 2154 I I' I I' •I ± I I I' '21S5 "2156 : 2157 : 2158 2159 !• !• !• ! I •I ± I I •I ± "2160 ; 2161 : 2162 2163 : 2164 •I !• 2165 2)66 : 2167 : 2168 2169 "2170 2171 : 2172 : 2173 2174 ! !• •I I I B-33 B-35 !• !• ! I •I •I I : 2Z2B 2229 : 2230 : 2231 2232 9 'I ± I' : 2233 : 2234 : 2235 2236 2237 !• !• I •I I ! I 2Z3B 2239 : 2240 22«1 : 2242 / !• •I I I 2243 2244 : 2245 : 2246 : 2247 2Z4B : 2249 : 2250 : 2251 2252 ^ T \ ; !• ! •I I I •I B-36 : 22S3 : 2254 : 2255 : 2256 : 22S7 B-37 B- 39 B-40 : ! : : I I I I I I I I I I I I : I I I B-41 B-43 : 2601 : 2602 : 2B03 : 2604 : 2605 : j : 260B : 2607 : 2608 : 26Q9 : 2610 : 2611 : 2612 : 2613 : 2614 : 2615 B-44 B-45 B-46 B-47 : 2162 : 2763 : 2764 : 2765 : 2766 T I : 2177 : 2178 : 2779 :2801 i 2802 : j I B-48 B-49 — - ! ! I I 'I : 2901 2902 : 2903 : 2904 : 2905 29QB 2907 2908 2909 !• !• I I ! •I •I 2911 2912 2913 : 2914 : 2915 I I- I I' I I I' : 291B 2917 : 2918 : 2919 I 2920 9P- O «l o o dp o ! ! ! I I I' I I I I : ?921 2922 2923 : 2924 2925 o—eo—o o—ee g o CO o o Qj) 0 : &- aa o o co o o ao o •I !• I ! B-50 B-52 B-53 : 3117 : 3118 : 31 19 : 3120 :3121 : : 3122 : 3123 : 3124 : 3125 r 3126 : 3156 : 3)57 : 3158 : 3159 : 3160 B-54 V !• : 316B : 3J67 : 3168 3169 3170 : 3171 : 3172 : 3173 : 3174 z 3175 : : 317B : 3197 : 3198 : 3199 : 3200 : 3Z01 : 3202 : 3203 : 3204 i 3205 : B-55 : 32U : 3212 : 3213 : 3214 : 3215 : j : 3216 : 3226 : 3227 : 3228 : 3229 : 3247 i B-56 : 327B : 3279 : 3301 : 3302 : 3303 B-58 : 3S19 : 3S20 : 3B21 : 3522 : 3523 : 360B : 3609 : 3B10 : 361 1 : 3512 B-61 I B-62 B-63 B-64 1 I 5 { APPENDIX C INDICES TO ALPHABETICS AND SPECIAL CHARACTERS INDEX TO ALPHABETS 0001 CARTOGRAPHIC ROMAN 0027 CARTOGRAPHIC GREEK 0200 CARTOGRAPHIC NUMERALS 0501 UC SIMPLEX . ROMAN PRIN SIZE 0527 UC SIMPLEX GREEK PRIN SIZE 0551 UC SIMPLEX SCRIPT PRIN SIZE 0601 LC SIMPLEX ROMAN PRIN SIZE 0627 LC SIMPLEX GREEK PRIN SIZE 0651 LC SIMPLEX SCRIPT PRIN SIZE 0700 NUMERALS SIMPLEX ROMAN PRIN SIZE 1001 UC COMPLEX ROMAN INDEX SIZE 1027 UC COMPLEX GREEK INDEX SIZE 1051 UC COMPLEX ITALIC INDEX SIZE 1101 LC COMPLEX ROMAN INDEX SIZE 1127 LC COMPLEX GREEK INDEX SIZE 1151 LC COMPLEX ITALIC INDEX SIZE 1200 NUMERALS COMPLEX ROMAN INDEX SIZE 2001 UC COMPLEX ROMAN PRIN SIZE 2027 UC COMPLEX GREEK PRIN SIZE 2051 UC COMPLEX ITALIC PRIN SIZE 2101 LC COMPLEX ROMAN PRIN SIZE 2127 LC COMPLEX GREEK PRIN SIZE 2151 LC COMPLEX ITALIC PRIN SIZE 2200 NUMERALS COMPLEX ROMAN PRIN SIZE 2501 UC DUPLEX ROMAN PRIN SIZE 2551 UC COMPLEX SCRIPT PRIN SIZE 2601 LC DUPLEX ROMAN PRIN SIZE 2651 LC COMPLEX SCRIPT PRIN SIZE 2700 NUMERALS DUPLEX ROMAN PRIN SIZE 2750 NUMERALS COMPLEX SCRIPT PRIN SIZE 2801 UC COMPLEX CYRILLIC PRIN SIZE 2901 LC COMPLEX CYRILLIC PRIN SIZE 3001 UC TRIPLEX ROMAN PRIN SIZE 2051 UC TRIPLEX ITALIC PRIN SIZE 3151 LC TRIPLEX ITALIC PRIN SIZE 3200 NUMERALS TRIPLEX ROMAN PRIN SIZE 3250 NUMERALS TRIPLEX ITALIC PRIN SIZE 3301 UC GOTHIC GERMAN PRIN SIZE 3401 LC GOTHIC GERMAN PRIN SIZE 3501 UC GOTHIC ENGLISH PRIN SIZE 3601 LC GOTHIC ENGLISH PRIN SIZE 3700 NUMERALS GOTHIC PRIN SIZE 3801 UC GOTHIC ITALIAN PRIN SIZE 3901 LC GOTHIC ITALIAN PRIN' SIZE C-1 INDEX TO SPECIAL CHARACTERS 0210 PERIOD 0733 NUMBER 0211 COMMA 0734 AMPERSAND 0212 COLON 0735 LOZENGE 0213 SEMICOLON 0737 PARALLEL 0214 EXCLAMATION 0738 PERPENDICULAR 0215 INTERROGATION 0739 ANGLE 0216 PRIME 0740 CONCLUSION 0217 SECOND 0741 SPADE 0218 DEGREE 0742 HEART 0219 DOLLAR 0743 DIAMOND 0220 SOLIDUS 0744 CLUB 0221 LEFT PARENTHESIS 0745 SHAMROCK 0222 RIGHT PARENTHESIS 0746 FLEUR DE LIS 0223 BAR 0750 DRIZZLE 0224 DIFFERENCE 0751 RAIN 0225 SUM 0752 SNOW 0226 EQUALITY 0753 SURFACE COLD FRONT 0227 CROSS 0754 SURFACE WARM FRONT 0228 ASTERISK 0755 50 KNOT FLAG 0229 DOT 0756 UPPER COLD FRONT 0230 LEFT QUOTATION 0757 UPPER WARM FRONT 0231 RIGHT QUOTATION 0758 CUMULO 0232 ARROW 0759 ALTO 0233 NUMBER 0760 ALTO 0234 AMPERSAND 0761 CIRRO 0235 LOZENGE 0762 LEFT CIRROSTRATO 0583 NABLA 0763 RIGHT CIRROSTRATO 0710 PERIOD 0764 SAND 0711 COMMA 0765 GLAZE 0712 COLON 0766 HAZE 0713 SEMICOLON 0767 THUNDERSTORM 0714 EXCLAMATION 0768 HURRICANE 0715 INTERROGATION 0796 HORIZONTAL 0716 PRIME 0797 45-OBUQUE 0717 SECOND 0798 VERTICAL 0718 DEGREE 0799 135-OBLIQUE 0719 DOLLAR 0800 HORIZONTAL 0720 SOLIDUS 0801 30-OBLIQUE 0721 LEFT PARENTHESIS 0802 60 -OBLIQUE 0722 RIGHT PARENTHESIS 0803 VERTICAL 0723 BAR 0804 120-OBUQUE 0724 DIFFERENCE 0805 150 -OBLIQUE 0725 SUM 0806 HORIZONTAL 0726 EQUALITY 0807 45-OBLIQUE 0727 CROSS 0808 VERTICAL 0728 ASTERISK 0809 135-OBLIQUE 0729 DOT 0810 UPPER LEFT QUADRANT 0730 LEFT QUOTATION 0811 LOWER LEFT QUADRANT 0731 RIGHT QUOTATION 0812 LOWER RIGHT QUADRANT 0732 ARROW 0813 UPPER RIGHT QUADRANT C-2 INDEX TO SPECIAL CHARACTERS 0814 LOWER QUADRANT 0873 WILLOW 0815 LEFT QUADRANT 0874 GRASS 0816 RIGHT QUADRANT 0899 DOT 0817 UPPER QUADRANT 0900 2-CIRCLE 0818 VERTICAL ZIGZAG 0901 4-CIRCLE 0819 HORIZONTAL ZIGZAG 0902 5-CIRCLE 0820 30-ZIGZAG 0903 7-CIRCLE 0821 45-ZIGZAG 0904 11 -CIRCLE 0822 UPPER LOOP 0905 17-CIRCLE 0823 LEFT LOOP 0906 22 -CIRCLE 0824 LOWER LOOP 0907 41 -CIRCLE 0825 RIGHT LOOP 0908 US HIGHWAY 0826 30-LOOP 0909 IS HIGHWAY 0827 45 -LOOP 1210 PERIOD 0828 JUNCTION 1211 COMMA 0829 JUMPER 1212 COLON 0830 GRID 1213 SEMICOLON 0831 SHIELD 1214 EXCLAMATION 0832 FILAMENT 1215 INTERROGATION 0833 GROUND 1216 PRIME 0834 ANTENNA 1217 SECOND 0840 CIRCLE 1218 DEGREE 0841 SQUARE 1219 ASTERISK 0842 TRIANGLE 1220 SOLIDUS 0843 DIAMOND 1221 LEFT PARENTHESIS 0844 STAR 1222 RIGHT PARENTHESIS 0845 MARK 1223 LEFT BRACKET 0846 CROSS 1224 RIGHT BRACKET 0847 ASTERISK 1225 LEFT BRACE 0850 CIRCLE 1226 RIGHT BRACE 0851 SQUARE 1227 LEFT ELBOW 0852 UP VERTEX 1228 RIGHT ELBOW 0853 LEFT VERTEX 1229 BAR 0854 DOWN VERTEX 1230 DOUBLE BAR 0855 RIGHT VERTEX 1231 MINUS 0856 STAR 1232 PLUS 0857 FLAG 1233 PLUS OR MINUS 0860 ANCHORAGE 1234 MINUS OR PLUS 0861 AERODROME 1235 CROSS PRODUCT 0862 MINE 1236 DOT PRODUCT 0863 DERRICK 1237 QUOTIENT 0864 LIGHTSHIP 1238 EQUALITY 0865 WRECK 1239 INEQUALITY 0866 CROSS 1240 IDENTITY 0867 CRESCENT 1241 LESS 0868 STAR 1242 MORE 0869 BELL 1243 EQUAL OR LESS 0870 PALM 1244 EQUAL OR MORE 0871 PINE 1245 VARIATION 0872 OAK 1246 APPROXIMATION C-3 INDEX TO SPECIAL CHARACTERS 1247 CARET 1404 RIGHT PARENTHESIS 1248 ACUTE ACCENT 1405 LEFT BRACKET 1249 GRAVE ACCENT 1406 RIGHT BRACKET 1250 BREVE 1407 LEFT BRACE 1251 RIGHT QUOTATION 1408 RIGHT BRACE 1252 LEFT QUOTATION 1409 UPPER HALF BRACE 1253 NORMAL ASPIRATE 1410 LOWER HALF BRACE 1254 INVERTED ASPIRATE 1411 RADICAL 1256 RIGHT HOOK 1412 INTEGRAL 1257 UP HOOK 2077 ALEPH 1258 LEFT HOOK 2210 PERIOD 1259 DOWN HOOK 2211 COMMA 1260 ELEMENT 2212 COLON 1261 RIGHT ARROW 2213 SEMICOLON 1262 UP ARROW 2214 EXCLAMATION 1263 LEFT ARROW 2215 INTERROGATION 1264 DOWN ARROW 2216 PRIME 1265 DELTA 2217 SECOND 1266 NABLA 2218 DEGREE 1267 RADICAL 2219 ASTERISK 1268 INTEGRAL 2220 SOLIDUS 1269 CIRCUIT INTEGRAL 2221 LEFT PARENTHESIS 1270 INFINITY 2222 RIGHT PARENTHESIS 1271 PERCENT 2223 LEFT BRACKET 1272 AMPERSAND 2224 RIGHT BRACKET 1273 AT 2225 LEFT BRACE 1274 DOLLAR 2226 RIGHT BRACE 1275 NUMBER 2227 LEFT ELBOW 1276 PARAGRAPH 2228 RIGHT ELBOW 1277 DAGGER 2229 BAR 1278 DOUBLE DAGGER 2230 DOUBLE BAR 1279 EXISTENCE 2231 MINUS 1281 SUN 2232 PLUS 1282 MERCURY 2233 PLUS OR MINUS 1283 VENUS 2234 MINUS OR PLUS 1284 EARTH 2235 CROSS PRODUCT 1285 MARS 2236 DOT PRODUCT 1286 JUPITER 2237 QUOTIENT 1287 SATURN 2238 EQUAUTY 1288 URANUS 2239 INEQUALITY 1289 NEPTUNE 2240 IDENTITY 1290 PLUTO 2241 LESS 1291 MOON 2242 MORE 1292 COMET 2243 EQUAL OR LESS 1293 STAR 2244 EQUAL OR MORE 1294 ASCENDING NODE 2245 VARIATION 1295 DESCENDING NODE 2246 APPROXIMATION 1401 PI 2247 CARET 1402 SIGMA 2248 ACUTE ACCENT 1403 LEFT PARENTHESIS 2249 GRAVE ACCENT C-4 1 INDEX TO SPECIAL CHARACTERS 2250 RRFVFDrvEj V £j VTRflO 2251 RIGHT OIJOTATION I TRRA I oz-'HRPTO 2252 LiHirFFT1 V^^OTIOTATinMU U 1 A 1 1 WIN 2253 NORMAT A9PTRATP 9AnTTTARIT19 2254 INVFRTFH A9PTRATP COPT I1 vr\ ^.^ArPAPRTPORMIrvic wrviN uo19 2255Krf i_/ RAnTfAI PT 1 1 AOI I ARTI 19 PT 1 p 225fi i\ivjnRTOHT1 nuvjis.HOnk' CO 1 c PI9PF9 IIP HOnk" 1 7 2257 CoPT 1 1 noT T vpT unr\K 1 fl 2258 LiEjr I n>JVJi\ CoPT I o ITPPFR FT AP L/wniN nvJUi\ CoPT 1 yQ T OWFR FT AP 2?fi0 FT FMFMT CoCUPTPn WHOT F MOTF 2?fi1 RinHT ARROW cocPTP 1 T4AI F TMOTF 22fi? TIP ARROW coccPTPP OTIARTFR MOTF T FFT ARROW cocoPTPT 9T4ARP 2264 nOWN ARROW COC*tPTP4 INNATTIRATA 1 *J rVALj r>FT PTPf^ FT TA coco r LiAAT1 MART A cocoPTPR WI40T F RF9T RAr>TrAT HAT F cocPTP71 RF9T TNTFORAT cocoPTPfl v^UOTIARTFRArv 1 Eilv ivJLiORF9T1 P?RQ PTRPTITT TMTFORAT cocyPTPQ FTPHTH RF9T TMFTNTTY PT ??7 PFRPFMT cooPTT 1 F PT FF AMPFR9AMr) coocPTTP r TT FF AT CODPTR71 noT Ijpppp PP74 nOT I AR CODOPTRfl pj AP PP7'^ NT IMRFR cooyPTRQ T OWFR FT AG PP7R PARAnRAPT4 COPT7n1 \J WHOT F MOTF T PP77 DAnnFR COPT7f 1 HAT F MOTF PP7fl nOTIRTF DAnnFR COPT7Pf c VtfOTIARTFR^ A£\ 1 MOTFIN w 1 Hj PP7Q FYTSTFNTF COPT7T1 o 9HARP ceoPPW 1 O IN COPT74.f *T MATTIRAl PT7'=^ ppftp MFRPTIRY CO r O rFTLiAATI 19 PPRT VFNTV EjIN u o COPT7Rr u WHOTiiriwi_il-jF rviljORF9T1 PPRA FARTT4EjAIv 1 O corPT771 OAl-iFHAT F l\£iORF9T1 MAR9 CPT7RO f (J ^kJAl\lEil\OTIARTFR r\l_jORF9T1 PPftR TTIPTTFR COPT7Q1 FTGHTH RF9T PPR7 9ATTIRM G n FF TIRANTI9 coo 1 F PT FF PPRQ INCjrMFPTTINF1 UlNEj PPQ 1 MOON 2402 9IGMA PPQP POMFT T FFT PARFNTHFST*=? PPQQ STAR 2404 XxlvinRICHT1 1PARFNTHF*=^T9r\£\£ljli 1 riuOiO PPQA ASfFNT^TWr; MonF 2405 T FFT RRArKFT riFsrFMDTNn NonF 240fi RTHHT RRAPk^FT 1 ARTF9 I FFT RRAPF 2302 TAURUS 2408 RIGHT BRACE 2303 GEMINI 2409 UPPER HALF BRACE 2304 CANCER 2410 LOWER HALF BRACE 2305 LEO 2411 RADICAL C-5 1 INDEX TO SPECIAL CHARACTERS 2412 INTEGRAL 3219 DOLLAR 2710 PERIOD 3220 SOLIDUS 2711 COMMA 3221 LEFT PARENTHESIS 2712 COLON 3222 RIGHT PARENTHESIS 2713 SEMICOLON 3223 ASTERISK 2714 EXCLAMATION 3224 SUBTRACTION 2715 INTERROGATION 3225 ADDITION 2716 LEFT QUOTATION 3226 EQUALITY 2717 RIGHT QUOTATION 3227 PRIME 2718 AMPERSAND 3228 SECOND 2719 DOLLAR 3229 DEGREE 2720 SOLIDUS 3260 PERIOD 2721 LEFT PARENTHESIS 3261 COMMA 2722 RIGHT PARENTHESIS 3262 COLON 2723 ASTERISK 3263 SEMICOLON 2724 SUBTRACTION 3264 EXCLAMATION 2725 ADDITION 3265 INTERROGATION 2726 EQUALITY 3266 LEFT QUOTATION 2727 PRIME 3267 RIGHT QUOTATION 2728 SECOND 3268 AMPERSAND 2729 DEGREE 3269 DOLLAR 2760 PERIOD 3270 SOLIDUS 2761 COMMA 3271 LEFT PARENTHESIS 2762 COLON 3272 RIGHT PARENTHESIS 2763 SEMICOLON 3273 ASTERISK 2764 EXCLAMATION 3274 SUBTRACTION 2765 INTERROGATION 3275 ADDITION 2766 LEFT QUOTATION 3276 EQUALITY 2767 RIGHT QUOTATION 3277 PRIME 2768 AMPERSAND 3278 SECOND 2769 DOLLAR 3279 DEGREE 2770 SOLIDUS 3710 PERIOD 2771 LEFT PARENTHESIS 3711 COMMA 2772 RIGHT PARENTHESIS 3712 COLON 2773 ASTERISK 3713 SEMICOLON 2774 SUBTRACTION 3714 EXCLAMATION 2775 ADDITION 3715 INTERROGATION 2776 EQUALITY 3716 LEFT QUOTATION 2777 PRIME 3717 RIGHT QUOTATION 2778 SECOND 3718 AMPERSAND 2779 DEGREE 3719 DOLLAR 3210 PERIOD 3720 SOLIDUS 321 COMMA 3721 LEFT PARENTHESIS 3212 COLON 3722 RIGHT PARENTHESIS 3213 SEMICOLON 3723 ASTERISK 3214 EXCLAMATION 3724 SUBTRACTION 3215 INTERROGATION 3725 ADDITION 3216 LEFT QUOTATION 3726 EQUALITY 3217 RIGHT QUOTATION 3727 PRIME 3218 AMPERSAND 3728 SECOND C-6 CHARACTERS INDEX TO SPECIAL 2698 BLANK 3729 DEGREE 2699 BLANK 0197 BLANK 2747 BLANK 0198 BLANK 2748 BLANK 0199 BLANK 2749 BLANK 0697 BLANK 3197 BLANK 0698 BLANK 3198 BLANK 0699 BLANK 3199 BLANK 1197 BLANK 3697 BLANK 1198 BLANK 3698 BLANK 1199 BLANK 3699 BLANK 2197 BLANK 3247 BLANK 2198 BLANK 3248 BLANK 2199 BLANK 3249 BLANK 2697 BLANK C-7 i ! 1 1 f I [ I 1 I I I I ] i j i i I I ! : . NBS.114A (REV. 7-731 U.S. DEPT. OF COMM. 1 PIIRl IPATIONI OR R F POP T WO 2. Gov 't Access ion 3* Recipient's Acce ss ion No BIBLIOGRAPHIC DATA No. SHEET NBS SP-424 5. Publication Date A CONTRIBUTION TO COMPUTER TYPESETTING April 19 76 i ii. C HN Lw U ill o 6» Perforrning Organization Code Tables of Coordinates for Hershey's Repertory of Occidental Type Fonts and Graphic Symbols 7. AUTHOR(S) 8. Performing Organ. Report No. Norman M. Wolcott and Joseph Hilsenrath 7m rCi\r wKMliNLj vJKOAlN 1 1 IL/IN INAMc. AINU AUUKboo 10. Project/Task/Work Unit No. NATIONAL BUREAU OF STANDARDS DEPARTMENT OF COMMERCE 11. Contract/Grant No. WASHINGTON, D.C. 20234 12. J^r»r»n Q rtr 1 o Cjroc*nnartr\r\ '»r»^^ ( ^^trai^t ^t-^^a ' ^* '-'J-'>Jii a Kji iiign \Jl all INTVlamoaillCr nmn\ar-a AAArar^r- ^ 77D\ g liCdLlUIl ana v-Ompic LC *lQarCS S 1*3 irCC t, 'y ^ CalG, ^ l tr ) 13. Type of Report & Period Covered 14. Sponsoring Agency Code 15. SUPPLEMENTARY NOTES Library of Congress Catalog Card Number: 75-619219 16. ABSTRACT (A 200-word or less {actual summary ol most significant information. If document includes a significant bibliography or literature survey, mention it here.) These tables present coordinates from which it is possible to generate 1377 different alphabetic and graphic characters on either COM devices or on digital plotters. The tables, originally developed by Dr. A. V. Hershey of the Naval Weapons Laboratory, are augmented here by corresponding figures which show for each character the location of the tabulated points and the manner in which they are connected. The tables can be used with existing typographic systems to compose pages for scientific and mathematical publications of graphic arts quality either on COM devices or flat-bed plotters. Numerous applications are discussed and illustrated. The tables are also available on a magnetic tape in either BCD or ASCII format from the National Technical Information Service 17. KEY WORDS (six to twelve entries; alphabetical order; capitalize only the first letter of the first key word unless a proper name; separated by semicolons) Alphabets; COM; computerized typesetting; digital plotting; graphics; Hershey character set; plotting; type fonts; typesetting; vectorized characters 18. AVAILABILITY [x] Unlimited 19. SECURITY CLASS 21. NO. OF PAGES (THIS REPORT) ' 1 For Official Distribution. Do Not Release to NTIS 173 UNCL ASSIFIED |X ! Order From Sup. of Doc, U.S. Government Printing Office 20. SECURITY CLASS Washineton. D.C. 20402. SD Cat. No. C13. 10:4Z4 (THIS PAGE) $2.90 Order From National Technical Information Service (NTIS) 1 1 Springfield, Virginia 22151 UNCLASSIFIED U3COMM.DC 29042-P74 A A I , NBS TECHNICAL PUBLICATIONS PERIODICALS ' ^ program coordinated by NBS. 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