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Calculating Numerical Roots = = 1.37480222744
#10 in Fundamentals of Applied Math Series Calculating Numerical Roots Richard J. Nelson Introduction – What is a root? Do you recognize this number(1)? 1.41421 35623 73095 04880 16887 24209 69807 85696 71875 37694 80731 76679 73799 07324 78462 10703 88503 87534 32764 15727 35013 84623 09122 97024 92483 60558 50737 21264 41214 97099 93583 14132 22665 92750 55927 55799 95050 11527 82060 57147 01095 59971 60597 02745 34596 86201 47285 17418 64088 91986 09552 32923 04843 08714 32145 08397 62603 62799 52514 07989 68725 33965 46331 80882 96406 20615 25835 Fig. 1 - HP35s √ key. 23950 54745 75028 77599 61729 83557 52203 37531 85701 13543 74603 40849 … If you have had any math classes you have probably run into this number and you should recognize it as the square root of two, . The square root of a number, n, is that value when multiplied by itself equals n. 2 x 2 = 4 and = 2. Calculating the square root of the number is the inverse operation of squaring that number = n. The "√" symbol is called the "radical" symbol or "check mark." MS Word has the radical symbol, √, but we often use it with a line across the top. This is called the "vinculum" circa 12th century. The expression " (2)" is read as "root n", "radical n", or "the square root of n". The vinculum extends over the number to make it inclusive e.g. Most HP calculators have the square root key as a primary key as shown in Fig. 1 because it is used so much. Roots and Powers Numbers may be raised to any power (y, multiplied by itself x times) and the inverse operation, taking the root, may be expressed as shown below. -
Calculating Solutions Powered by HP Learn More
Issue 29, October 2012 Calculating solutions powered by HP These donations will go towards the advancement of education solutions for students worldwide. Learn more Gary Tenzer, a real estate investment banker from Los Angeles, has used HP calculators throughout his career in and outside of the office. Customer corner Richard J. Nelson Learn about what was discussed at the 39th Hewlett-Packard Handheld Conference (HHC) dedicated to HP calculators, held in Nashville, TN on September 22-23, 2012. Read more Palmer Hanson By using previously published data on calculating the digits of Pi, Palmer describes how this data is fit using a power function fit, linear fit and a weighted data power function fit. Check it out Richard J. Nelson Explore nine examples of measuring the current drawn by a calculator--a difficult measurement because of the requirement of inserting a meter into the power supply circuit. Learn more Namir Shammas Learn about the HP models that provide solver support and the scan range method of a multi-root solver. Read more Learn more about current articles and feedback from the latest Solve newsletter including a new One Minute Marvels and HP user community news. Read more Richard J. Nelson What do solutions of third degree equations, electrical impedance, electro-magnetic fields, light beams, and the imaginary unit have in common? Find out in this month's math review series. Explore now Welcome to the twenty-ninth edition of the HP Solve Download the PDF newsletter. Learn calculation concepts, get advice to help you version of articles succeed in the office or the classroom, and be the first to find out about new HP calculating solutions and special offers. -
Programs Processing Programmable Calculator
IAEA-TECDOC-252 PROGRAMS PROCESSING RADIOIMMUNOASSAY PROGRAMMABLE CALCULATOR Off-Line Analysi f Countinso g Data from Standard Unknownd san s A TECHNICAL DOCUMENT ISSUEE TH Y DB INTERNATIONAL ATOMIC ENERGY AGENCY, VIENNA, 1981 PROGRAM DATR SFO A PROCESSIN RADIOIMMUNOASSAN I G Y USIN HP-41E GTH C PROGRAMMABLE CALCULATOR IAEA, VIENNA, 1981 PrinteIAEe Austrin th i A y b d a September 1981 PLEASE BE AWARE THAT ALL OF THE MISSING PAGES IN THIS DOCUMENT WERE ORIGINALLY BLANK The IAEA does not maintain stocks of reports in this series. However, microfiche copies of these reports can be obtained from INIS Microfiche Clearinghouse International Atomic Energy Agency Wagramerstrasse 5 P.O.Bo0 x10 A-1400 Vienna, Austria on prepayment of Austrian Schillings 25.50 or against one IAEA microfiche service coupon to the value of US $2.00. PREFACE The Medical Applications Section of the International Atomic Energy Agenc s developeha y d severae th ln o programe us r fo s Hewlett-Packard HP-41C programmable calculator to facilitate better quality control in radioimmunoassay through improved data processing. The programs described in this document are designed for off-line analysis of counting data from standard and "unknown" specimens, i.e., for analysis of counting data previously recorded by a counter. Two companion documents will follow offering (1) analogous programe on-linus r conjunction fo i se n wit suitabla h y designed counter, and (2) programs for analysis of specimens introduced int successioa o f assano y batches from "quality-control pools" of the substance being measured. Suggestions for improvements of these programs and their documentation should be brought to the attention of: Robert A. -
HP-16C Computer Scientist
I ~4 HEWLETT-PACKARD HP-16C Computer Scientist OWNER S HANDBOOK Us I .III ieSSSSIImini iiiiii «iawl ^37=- (-W) Ris=i(+W) -3 mmn mtrnt mrmi M*m* tmtm i WKtni W4MU WK0013 7W7WW TltflU tWMII MM It'l JBF47Sf2 H7F37W tWHN NOTICE Hewlett-Packard Company makes no express or implied warranty with regard to the keystroke procedures and program material offered or their merchantability or their fitness for any particular purpose. The keystroke procedures and program material are made available solely on an "as is" basis, and the entire risk as to their quality and performance is with the user. Should the keystroke procedures or program material prove defective, the user (and not Hewlett-Packard Company nor any other party) shall bear the entire cost of all necessary correction and all incidental or consequential damages. Hewlett-Packard Company shall not be liable for any incidental or consequential damages in connection with or arising out of the furnishing, use, or performance of the keystroke procedures or program material. Thai HEWLETT m^f!M PACKARD HP-16C Computer Scientist Owner's Handbook April 1982 00016-90001 Printed in U.S.A. © Hewlett-Packard Company 1 982 Introduction Welcome to the world of the Hewlett-Packard Computer Scientist! You're in good company with HP—the calculator of choice for astronauts in the space shuttle, climbers on Mt. Everest, yachtsmen in the America's Cup, and engineers, scientists, and students the world over. The HP-16C is a versatile and unique calculator, especially designed for the many professionals and students who work with computers and microprocessors—whether as programmers or designers. -
HP Scientific Calculators Which One Is Right for You?
HP Calculators HP Scientific Calculators Which one is right for you? HP Scientific calculators are equipped with easy-to-use problem solving tools, enhanced capabilities and customized options, plus award-winning HP support. When choosing the right scientific calculator, make sure to purchase the one that best fits your needs. Use the comparison chart below to compare HP scientific calculator models. HP 10s+ HP 300s+ HP 35s Perfect for Students in middle and high school Students in middle and high school University students and technical professionals Key Characteristics User-friendly design, easy-to-read display Sophisticated calculator with easy-to-read Professional performance featuring RPN* and a wide range of algebraic, trigonometric, 4-line display, unit conversions as well mode, keystroke programming, the HP Solve** probability and statistics functions. as algebraic, trigonometric, logarithmic, application as well as algebraic, trigonometric, probability and statistics functions. logarithmic and statistics functions, Calculation Mode(s) Algebraic Algebraic Algebraic and RPN Display Size 2 lines x 12 characters, linear display 4 lines x 15 characters, linear display 2 lines , 14 characters, linear display Built-in Functions 240+ 315+ 100+ Size (L x W x D) 5.79 x 3.04 x 0.59 in 5.79 x 3.04 x 0.59 in 6.22 x 3.23 x 0.72 in Subject Suitability General mathematics, Arithmetic, Algebra, General mathematics, Arithmetic, Algebra, Mathematics geared towards Engineering, Trigonometry, Statistics probability Trigonometry, Statistics, Probability Surveying, Science, Medicine Additional Features Solar power plus a battery backup, decimal/ Table-based statistics data editor, solar 800 storage registers, physical constants, hexadecimal conversions, nine memory power plus a battery backup, integer division, unit conversions, adjustable contrast display, registers, slide-on protective cover. -
Of 8 HHC 2008 Door Prizes Version 3 40 Prizes 9/6/08 This Is the Third
HHC 2008 Door Prizes Version 3 40 prizes 9/6/08 This is the third and possibly the last version of the HHC 2008 door prize list. Check the version and date for the latest list. The committee’s goal is to have at least as many prizes as last year. See the HHC 2007 (partial) list at: http://holyjoe.org/hhc2007/Door%20Prizes%20Vers%204.pdf The prizes at HHC 2007 greatly swelled (more than doubled) at the last minute because people brought the prizes with them and didn’t email the information to the Committee to put them on the list, which is most ideal from a documenting perspective. They are documented, however, in photos. Additional prizes will be added to this list from time to time. All members of the HP User Community, HP, and resellers are encouraged to donate prizes, new or used. Please contact Richard J. Nelson at: [email protected] Usually the “prizes” are divided into two groups - the premium group and the normal group. The attendee voted Best Speaker gets first pick of the normal group. The Programming Contest winner, if we have a programming contest, the decision is still (time) pending, will get “second” pick. The rest of the attendees’ normal group winners are then drawn. Everybody then gets a chance at the premium group - usually at least two or three “high end” items. Last year we had nine such items which are shown in Table 1 reproduced from the Conference Report. All the numbers are placed back into the pot for the final premium group drawing. -
HP Solve Calculating Solutions Powered by HP
MHT mock-up file || Software created by 21TORR Page 1 of 2 HP Solve Calculating solutions powered by HP » HP Lesson Plan Sweepstakes for Issue 20 teachers! August 2010 Teacher Experience Exchange is a free resource for teachers that offers discussion Welcome to the forums, lesson plans, and professional twentieth edition development tutorials. Visit the site and of the HP Solve upload your own lesson plan for a chance to newsletter. Learn win an HP Mini PC in our weekly drawing. calculation concepts, get advice to help you Your articles succeed in the office or the classroom, and be the first to find out about new HP calculating solutions and special offers. » Download the PDF version of newsletter articles. » Next generation financial » SmartCalc 300s Scientific calculator NOW AVAILABLE Calculator available for a » Contact the editor HP Announces its most limited time innovative calculator to date: Math and science students will From the Editor the 30B Business appreciate the logical, Professional. Available at accurate, and dependable HP Office Depot USA and Staples SmartCalc 300s Scientific Europe while supplies last. Calculator now available at Staples in the USA through September (while supplies last) and at several retailers in Europe. As HP Solve grows, the current structure will adapt as well. Learn more about current » RPN Tip #20 » Come Join Us At The HHC articles and feedback Gene Wright 2010 HP Handhelds from the latest Solve newsletter. 20 Useful Tips for the 30b Conference! Jake Schwartz Business Professional. This Learn more » article gives RPN user tips and Jake, official historian of HP helps explain differences Handheld Calculator Customer Corner between an RPL-based Conferences, provides his machine and a legacy RPN unique perspective and » Meet an HP machine. -
Introduction to UIL High School Calculator Applications Contest
Introduction to UIL High School Calculator Applications Contest Andy Zapata Azle High School Andy Zapata Azle ISD – 1974 to present Azle HS – Physics teacher Married – 4 children & 2 grandchildren Co-founded Texas Math and Science Coaches Association (TMSCA) Current president of TMSCA Coached all 4 UIL math & science events + slide rule Current UIL Elem/JH number sense, mathematics and calculator consultant [email protected] The Calculator Applications Contest is exactly what the title of the contest implies. It is not a mathematics contest where proofs of geometry or algebra theorems are worked out; it is not a typing contest where the fastest button pusher always has the superior score. It is a contest where engineering type problems are solved. I am not an engineer, but I know a few people that do engineering work, and the ability to use the calculator as a tool to solve; or least begin the problem solving process is very important. But I will also be the first to tell you that the problem topics covered in these contest papers cover finance problems, navigation problems, exponential and compound growth and decay problem, problems involving probability and problems involving calculus that go beyond the averaging processes that occur when calculus cannot be used. If you have students that are curious and competitive, they like math and they like to solve problems; then here is a great opportunity for them to flourish and learn more about the problem solving process than they would normally learn in the high school math program. In 1982 I moved up from teaching seventh grade math to teaching a few classes of physics and different math classes until there were enough students taking physics so that I could have all my classes be physics classes. -
HP 35S Quick Start Guide English EN F2215-90201 Edition 1 V 4.Book
HP 35s Scientific Calculator Quick Start Guide Edition 1 HP part number: F2215-90201 Legal Notices This manual and any examples contained herein are provided "as is" and are subject to change without notice. Hewlett-Packard Company makes no warranty of any kind with regard to this manual, including, but not limited to, the implied warranties of merchantability, non-infringement and fitness for a particular purpose. In this regard, HP shall not be liable for technical or editorial errors or omissions contained in the manual. Hewlett-Packard Company shall not be liable for any errors or for incidental or consequential damages in connection with the furnishing, performance, or use of this manual or the examples contained herein. Copyright © 2008 Hewlett-Packard Development Company, L.P. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Hewlett-Packard Company 16399 West Bernardo Drive San Diego, CA 92127-1899 USA Printing History Edition 1, version 4, Copyright December 2008 Table of Contents Welcome to your HP 35s Scientific Calculator ........................ 1 Turning the Calculator On and Off ........................................ 2 Adjusting Display Contrast.................................................... 2 Keyboard ........................................................................... 3 Alpha Keys ......................................................................... 4 Cursor Keys ....................................................................... -
The HP-41C: a Literate Calculator?
System Review The HP-41C: A Literate Calculator? Brian P Hayes Scientific American 415 Madison Ave New York NY 10017 Calculator vs Computer can be full of surprises, often to the frustration of the pro The computer and the programmable calculator seem grammer. to be following paths of convergent evolution. As the one The HP-41C, which was introduced by the Hewlett- is made smaller while the other gains in capability, the Packard Company about a year ago, is among the pro line of demarcation between them becomes more and grammable calculators that lie closest to the computer more arbitrary. For now at least, the programmable borderline. It comes close enough for the jargon of com calculator remains a distinct and lesser species, but it puters to be useful in describing it. At the Corvallis Divi shares many of the attributes of the computer. Moreover, sion of Hewlett-Packard, where the HP-41C is made, the shared attributes are chiefly the ones that make the they refer to the calculator itself as the ''mainframe" and computer an interesting machine. Both devices offer an to its accessory devices as the "peripherals." The intimate acquaintance with the powers and pleasures of calculator comes equipped with four input/output (I/O) algorithms. Both exhibit an enigmatic unpredictability: ports, through which the various elements of the system the response of the machine to any given stimulus is are interconnected. Because the peripherals do some data wholly deterministic, yet the behavior of a large program processing internally, the system might even be said to have "distributed intelligence." When compared with a computer, most programmable calculators have a rich instruction set, but they are defi cient in memory capacity and in facilities for communica tion with the user. -
HP Calculator Programming Richard J
HP Calculator Programming Richard J. Nelson Introduction Do you use an HP calculator that has a programming capability, and do you actually use it? Of the 24 models, see Table 1 below, 23 are on the HP website 13, or 54.2%, are programmable. If the Home and Office machines are omitted, the numbers are: 17 models, and 13 or 76.5%, are programmable. What does this mean? A program is a sequence of instructions (functions and/or data) that are keyed (or loaded) into the calculator’s memory that will solve a particular problem or provide specific information. A program capability also includes special instructions that provide prompting for inputs and labeling for outputs. Another aspect of a program capability is the ability to perform decision logic so the particular parts of a program may be changed depending on the results of previous instructions. This capability provides “intelligence” to the program. The program capability of the 10 current models ranges from very simple such as the HP-12C to very complex (and very powerful) such as the HP 50g. Older HP calculators such as the HP-71B or HP-75C used a computer like programming language called BASIC. The HP-12C and HP-15C programing language is an RPN FOCAL(1) like language, and the HP 50g uses an RPL programming language. The algebraic calculators use what may be called an Aplet programming language. Table 1 – Current HP Calculator Products (24) # Financial Calculators Scientific & Graphing Home & Office 1 HP 10bII HP 10s HP Calcpad 100 2 HP 10bII+ HP-15C Limited Edition HP CalcPad 200 3 HP 20b HP 33s OfficeCalc 100 4 HP 30b HP 35s OfficeCalc 200 5 HP-12C HP 39gs OfficeCalc 300 6 HP-12C 30th Anniversary HP 39gII PrintCalc 100 7 HP-17bII+ HP 40gs QuickCalc 8 HP 48gII 9 HP 50g 10 SmartCalc HP 300s 5 of 7 = 71% programmable 8 of 10 = 80% programmable None programmable Note: Programmable calculators are in blue. -
HP Key Notes
FI.b%, tLb h: Library Comer ..................... HP-41C Tips and Techniques .......... (67) Twenty-Element 4 X 5 Matrix ..... Book Reviews .................... HP-41C Tips From an Owner ......... Randomly Yours .................. We Get Letters ...................... "25 Words" (More or Less!) .......... HP-4 1C Owner's Handbook Addendum . Hovemkr lsfO Vd. 3 No. 4 HEWLETT PACKARD HP Key Notes What Hath HP Wrought? way that calculators have changed your life. It Hewlett-Packard takes this business very ser- caused a quantum jump in personal calculator iously and always tries to make a significant Can you believe that it was only 7 years ago technology and forever banished the tedium of contribution to the state of the art. So you can that the HP-35 created a worldwide revolution repetitious numeric calculations. It was respon- bet that we will continue to develop even better in handheld personal calculators? Almost over- sible not only for putting the "programmable" and more significant products. night, it made the venerable slide rule a compu- in personal calculators but also for making this With the Christmas season upon us, we tational antique. Plus, it started a very large newsletter possible. thought you might enjoy seeing all the calcu- new industry and caused most of us to restruc- Today, programmable calculators are a rela- lators that Hewlett-Packard has produced since ture our lives-at least as far as numeric calcu- tively common tool in every walk of life. They the HP-35 started this revolution. In the photo lations were concerned. And, although all save time, save money, make life easier, and are 27 calculators, with the HP-35 at bottom HP-35 calculators are now 5 to 7 years old, increase the scope of our knowledge.