Naso – Bamidbar/Numbers 4:21-7:89
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A Combinatorial Game Theoretic Analysis of Chess Endgames
A COMBINATORIAL GAME THEORETIC ANALYSIS OF CHESS ENDGAMES QINGYUN WU, FRANK YU,¨ MICHAEL LANDRY 1. Abstract In this paper, we attempt to analyze Chess endgames using combinatorial game theory. This is a challenge, because much of combinatorial game theory applies only to games under normal play, in which players move according to a set of rules that define the game, and the last player to move wins. A game of Chess ends either in a draw (as in the game above) or when one of the players achieves checkmate. As such, the game of chess does not immediately lend itself to this type of analysis. However, we found that when we redefined certain aspects of chess, there were useful applications of the theory. (Note: We assume the reader has a knowledge of the rules of Chess prior to reading. Also, we will associate Left with white and Right with black). We first look at positions of chess involving only pawns and no kings. We treat these as combinatorial games under normal play, but with the modification that creating a passed pawn is also a win; the assumption is that promoting a pawn will ultimately lead to checkmate. Just using pawns, we have found chess positions that are equal to the games 0, 1, 2, ?, ", #, and Tiny 1. Next, we bring kings onto the chessboard and construct positions that act as game sums of the numbers and infinitesimals we found. The point is that these carefully constructed positions are games of chess played according to the rules of chess that act like sums of combinatorial games under normal play. -
Spark, the Tribe Parasha Activity Sheet That Will Help You Bring Judaism to Life in a Varied and Exciting Way
Welcome to Spark, the Tribe Parasha activity sheet that will help you bring Judaism to life in a varied and exciting way. I’d like these activities to enthuse the children and show them how the Torah given almost 3500 years ago is still as relevant and as exciting in our lives today. Thank you for offering to run a Children’s Service, for all the hard work you put into it and for making a real difference to so many young people. The US is very proud of the numerous Children’s Services that are run every week across the UK and this would not happen without you. Spark gives you an overview of the weekly Parasha, songs, an activity, discussion questions or D’var Torah linked to the Parasha or important event that week. Every Children’s Service will be different, in terms of how many participants there are, their age range, its length and the varying abilities of the children. Please read through the document and find the activities that will best suit the needs of your group. It is advisable to read it before Shabbat in case there is some preparation that may be needed in advance. I am sure the children at your shul will benefit from Spark. Please be in touch if you have any queries, feedback or if we can be of any help. Thank you again for the work you do in enabling so many young Jews to access their heritage and traditions in such an exciting way. All it takes is a small spark of interest, to ignite a flame of passion for Judaism. -
Parshat Naso
Parshat Naso A free excerpt from the Kehot Publication Society's Chumash Bemidbar/Book of Numbers with commentary based on the works of the Lubavitcher Rebbe, produced by Chabad of California. The full volume is available for purchase at www.kehot.com. For personal use only. All rights reserved. The right to reproduce this book or portions thereof, in any form, requires permission in writing from Chabad of California, Inc. THE TORAH - CHUMASH BEMIDBAR WITH AN INTERPOLATED ENGLISH TRANSLATION AND COMMENTARY BASED ON THE WORKS OF THE LUBAVITCHER REBBE Copyright © 2006-2009 by Chabad of California THE TORAHSecond,- revisedCHUMASH printingB 2009EMIDBAR WITH AN INTERPOLATED ENGLISH TRANSLATION AND COMMENTARYA BprojectASED ON of THE WORKS OF ChabadTHE LUBAVITCH of CaliforniaREBBE 741 Gayley Avenue, Los Angeles, CA 90024 310-208-7511Copyright / Fax © 310-208-58112004 by ChabadPublished of California, by Inc. Kehot Publication Society 770 Eastern Parkway,Published Brooklyn, by New York 11213 Kehot718-774-4000 Publication / Fax 718-774-2718 Society 770 Eastern Parkway,[email protected] Brooklyn, New York 11213 718-774-4000 / Fax 718-774-2718 Order Department: 291 KingstonOrder Avenue, Department: Brooklyn, New York 11213 291 Kingston718-778-0226 Avenue / /Brooklyn, Fax 718-778-4148 New York 11213 718-778-0226www.kehot.com / Fax 718-778-4148 www.kehotonline.com All rights reserved, including the right to reproduce this book All rightsor portions reserved, thereof, including in any the form, right without to reproduce permission, this book or portionsin writing, thereof, from in anyChabad form, of without California, permission, Inc. in writing, from Chabad of California, Inc. The Kehot logo is a trademark ofThe Merkos Kehot L’Inyonei logo is a Chinuch,trademark Inc. -
LNCS 7215, Pp
ACoreCalculusforProvenance Umut A. Acar1,AmalAhmed2,JamesCheney3,andRolyPerera1 1 Max Planck Institute for Software Systems umut,rolyp @mpi-sws.org { 2 Indiana} University [email protected] 3 University of Edinburgh [email protected] Abstract. Provenance is an increasing concern due to the revolution in sharing and processing scientific data on the Web and in other computer systems. It is proposed that many computer systems will need to become provenance-aware in order to provide satisfactory accountability, reproducibility,andtrustforscien- tific or other high-value data. To date, there is not a consensus concerning ap- propriate formal models or security properties for provenance. In previous work, we introduced a formal framework for provenance security and proposed formal definitions of properties called disclosure and obfuscation. This paper develops a core calculus for provenance in programming languages. Whereas previous models of provenance have focused on special-purpose languages such as workflows and database queries, we consider a higher-order, functional language with sums, products, and recursive types and functions. We explore the ramifications of using traces based on operational derivations for the purpose of comparing other forms of provenance. We design a rich class of prove- nance views over traces. Finally, we prove relationships among provenance views and develop some solutions to the disclosure and obfuscation problems. 1Introduction Provenance, or meta-information about the origin, history, or derivation of an object, is now recognized as a central challenge in establishing trust and providing security in computer systems, particularly on the Web. Essentially, provenance management in- volves instrumenting a system with detailed monitoring or logging of auditable records that help explain how results depend on inputs or other (sometimes untrustworthy) sources. -
11 Practice Lesso N 4 R O U N D W H Ole Nu M Bers U N It 1
CC04MM RPPSTG TEXT.indb 11 © Practice and Problem Solving Curriculum Associates, LLC Copying isnotpermitted. Practice Lesson 4 Round Whole Numbers Whole 4Round Lesson Practice Lesson 4 Round Whole Numbers Name: Solve. M 3 Round each number. Prerequisite: Round Three-Digit Numbers a. 689 rounded to the nearest ten is 690 . Study the example showing how to round a b. 68 rounded to the nearest hundred is 100 . three-digit number. Then solve problems 1–6. c. 945 rounded to the nearest ten is 950 . Example d. 945 rounded to the nearest hundred is 900 . Round 154 to the nearest ten. M 4 Rachel earned $164 babysitting last month. She earned $95 this month. Rachel rounded each 150 151 152 153 154 155 156 157 158 159 160 amount to the nearest $10 to estimate how much 154 is between 150 and 160. It is closer to 150. she earned. What is each amount rounded to the 154 rounded to the nearest ten is 150. nearest $10? Show your work. Round 154 to the nearest hundred. Student work will vary. Students might draw number lines, a hundreds chart, or explain in words. 100 110 120 130 140 150 160 170 180 190 200 Solution: ___________________________________$160 and $100 154 is between 100 and 200. It is closer to 200. C 5 Use the digits in the tiles to create a number that 154 rounded to the nearest hundred is 200. makes each statement true. Use each digit only once. B 1 Round 236 to the nearest ten. 1 2 3 4 5 6 7 8 9 Which tens is 236 between? Possible answer shown. -
Appendix B. Random Number Tables
Appendix B. Random Number Tables Reproduced from Million Random Digits, used with permission of the Rand Corporation, Copyright, 1955, The Free Press. The publication is available for free on the Internet at http://www.rand.org/publications/classics/randomdigits. All of the sampling plans presented in this handbook are based on the assumption that the packages constituting the sample are chosen at random from the inspection lot. Randomness in this instance means that every package in the lot has an equal chance of being selected as part of the sample. It does not matter what other packages have already been chosen, what the package net contents are, or where the package is located in the lot. To obtain a random sample, two steps are necessary. First it is necessary to identify each package in the lot of packages with a specific number whether on the shelf, in the warehouse, or coming off the packaging line. Then it is necessary to obtain a series of random numbers. These random numbers indicate exactly which packages in the lot shall be taken for the sample. The Random Number Table The random number tables in Appendix B are composed of the digits from 0 through 9, with approximately equal frequency of occurrence. This appendix consists of 8 pages. On each page digits are printed in blocks of five columns and blocks of five rows. The printing of the table in blocks is intended only to make it easier to locate specific columns and rows. Random Starting Place Starting Page. The Random Digit pages numbered B-2 through B-8. -
Sabermetrics: the Past, the Present, and the Future
Sabermetrics: The Past, the Present, and the Future Jim Albert February 12, 2010 Abstract This article provides an overview of sabermetrics, the science of learn- ing about baseball through objective evidence. Statistics and baseball have always had a strong kinship, as many famous players are known by their famous statistical accomplishments such as Joe Dimaggio’s 56-game hitting streak and Ted Williams’ .406 batting average in the 1941 baseball season. We give an overview of how one measures performance in batting, pitching, and fielding. In baseball, the traditional measures are batting av- erage, slugging percentage, and on-base percentage, but modern measures such as OPS (on-base percentage plus slugging percentage) are better in predicting the number of runs a team will score in a game. Pitching is a harder aspect of performance to measure, since traditional measures such as winning percentage and earned run average are confounded by the abilities of the pitcher teammates. Modern measures of pitching such as DIPS (defense independent pitching statistics) are helpful in isolating the contributions of a pitcher that do not involve his teammates. It is also challenging to measure the quality of a player’s fielding ability, since the standard measure of fielding, the fielding percentage, is not helpful in understanding the range of a player in moving towards a batted ball. New measures of fielding have been developed that are useful in measuring a player’s fielding range. Major League Baseball is measuring the game in new ways, and sabermetrics is using this new data to find better mea- sures of player performance. -
Effects of a Prescribed Fire on Oak Woodland Stand Structure1
Effects of a Prescribed Fire on Oak Woodland Stand Structure1 Danny L. Fry2 Abstract Fire damage and tree characteristics of mixed deciduous oak woodlands were recorded after a prescription burn in the summer of 1999 on Mt. Hamilton Range, Santa Clara County, California. Trees were tagged and monitored to determine the effects of fire intensity on damage, recovery and survivorship. Fire-caused mortality was low; 2-year post-burn survey indicates that only three oaks have died from the low intensity ground fire. Using ANOVA, there was an overall significant difference for percent tree crown scorched and bole char height between plots, but not between tree-size classes. Using logistic regression, tree diameter and aspect predicted crown resprouting. Crown damage was also a significant predictor of resprouting with the likelihood increasing with percent scorched. Both valley and blue oaks produced crown resprouts on trees with 100 percent of their crown scorched. Although overall tree damage was low, crown resprouts developed on 80 percent of the trees and were found as shortly as two weeks after the fire. Stand structural characteristics have not been altered substantially by the event. Long term monitoring of fire effects will provide information on what changes fire causes to stand structure, its possible usefulness as a management tool, and how it should be applied to the landscape to achieve management objectives. Introduction Numerous studies have focused on the effects of human land use practices on oak woodland stand structure and regeneration. Studies examining stand structure in oak woodlands have shown either persistence or strong recruitment following fire (McClaran and Bartolome 1989, Mensing 1992). -
Molecular Symmetry
Molecular Symmetry Symmetry helps us understand molecular structure, some chemical properties, and characteristics of physical properties (spectroscopy) – used with group theory to predict vibrational spectra for the identification of molecular shape, and as a tool for understanding electronic structure and bonding. Symmetrical : implies the species possesses a number of indistinguishable configurations. 1 Group Theory : mathematical treatment of symmetry. symmetry operation – an operation performed on an object which leaves it in a configuration that is indistinguishable from, and superimposable on, the original configuration. symmetry elements – the points, lines, or planes to which a symmetry operation is carried out. Element Operation Symbol Identity Identity E Symmetry plane Reflection in the plane σ Inversion center Inversion of a point x,y,z to -x,-y,-z i Proper axis Rotation by (360/n)° Cn 1. Rotation by (360/n)° Improper axis S 2. Reflection in plane perpendicular to rotation axis n Proper axes of rotation (C n) Rotation with respect to a line (axis of rotation). •Cn is a rotation of (360/n)°. •C2 = 180° rotation, C 3 = 120° rotation, C 4 = 90° rotation, C 5 = 72° rotation, C 6 = 60° rotation… •Each rotation brings you to an indistinguishable state from the original. However, rotation by 90° about the same axis does not give back the identical molecule. XeF 4 is square planar. Therefore H 2O does NOT possess It has four different C 2 axes. a C 4 symmetry axis. A C 4 axis out of the page is called the principle axis because it has the largest n . By convention, the principle axis is in the z-direction 2 3 Reflection through a planes of symmetry (mirror plane) If reflection of all parts of a molecule through a plane produced an indistinguishable configuration, the symmetry element is called a mirror plane or plane of symmetry . -
I Think I Would Have Been a Nazirite… Parashat Naso June 15, 2019; 12 Sivan 5779 Rabbi Adam J
I think I would have been a Nazirite… Parashat Naso June 15, 2019; 12 Sivan 5779 Rabbi Adam J. Raskin, Congregation Har Shalom, Potomac, MD Once upon a time, a number of years ago, I shaved my head. I shaved every last lock of hair until I was bald as a cue ball. I know, some of you are thinking, too bad it never grew back! But it did…believe it or not, I used to have bangs. I shaved my head because back in the day I was a varsity swimmer. Our team was headed to the district competition, which was held at a collegiate pool and involved schools all over our region. The winners would qualify for states. As a senior and team captain, in order to get my teammates pumped up for the competition, all the guys shaved their heads. Usually we would wear silicone swim caps to eliminate drag in the water. But for this competition we wanted to feel the cool pool water coursing over our bald heads, and all the psychological supercharge that came along with it. It was a rush and we felt like really serious, committed athletes walking bear-headed down the halls of our high school. I do remember the utter disgust in my mother’s eyes when she first saw me. She said I looked like I was in a concentration camp. She definitely did not approve. In our parasha there is also a wild head-shaving ceremony, though it has nothing to do with athletic performance! At the end of the term of the Nazirite vow, the person who had voluntarily entered into this state of ritual purity by abstaining from grape products, haircuts, and contact with the dead, would appear before the Kohen, the priest with various sacrifices at the Tabernacle. -
Call Numbers
Call numbers: It is our recommendation that libraries NOT put J, +, E, Ref, etc. in the call number field in front of the Dewey or other call number. Use the Home Location field to indicate the collection for the item. It is difficult if not impossible to sort lists if the call number fields aren’t entered systematically. Dewey Call Numbers for Non-Fiction Each library follows its own practice for how long a Dewey number they use and what letters are used for the author’s name. Some libraries use a number (Cutter number from a table) after the letters for the author’s name. Other just use letters for the author’s name. Call Numbers for Fiction For fiction, the call number is usually the author’s Last Name, First Name. (Use a comma between last and first name.) It is usually already in the call number field when you barcode. Call Numbers for Paperbacks Each library follows its own practice. Just be consistent for easier handling of the weeding lists. WCTS libraries should follow the format used by WCTS for the items processed by them for your library. Most call numbers are either the author’s name or just the first letters of the author’s last name. Please DO catalog your paperbacks so they can be shared with other libraries. Call Numbers for Magazines To get the call numbers to display in the correct order by date, the call number needs to begin with the date of the issue in a number format, followed by the issue in alphanumeric format. -
Minorities and Women in Television See Little Change, While Minorities Fare Worse in Radio
RunningRunning inin PlacePlace Minorities and women in television see little change, while minorities fare worse in radio. By Bob Papper he latest figures from the RTNDA/Ball State Uni- Minority Population vs. Minority Broadcast Workforce versity Annual Survey show lit- 2005 2004 2000 1995 1990 tle change for minorities in tel- evision news in the past year but Minority Population in U.S. 33.2% 32.8% 30.9% 27.9% 25.9% slippage in radio news. Minority TV Workforce 21.2 21.8 21.0 17.1 17.8 TIn television, the overall minority Minority Radio Workforce 7.9 11.8 10.0 14.7 10.8 workforce remained largely un- Source for U.S. numbers: U.S. Census Bureau changed at 21.2 percent, compared with last year’s 21.8 percent. At non-Hispanic stations, the the stringent Equal Employment minority workforce in TV news is up minority workforce also remained Opportunity rules were eliminated in 3.4 percent. At the same time, the largely steady at 19.5 percent, com- 1998. minority population in the U.S. has pared with 19.8 percent a year ago. News director numbers were increased 7.3 percent. Overall, the After a jump in last year’s minority mixed, with the percentage of minor- minority workforce in TV has been at radio numbers, the percentage fell this ity TV news directors down slightly to 20 percent—plus or minus 3 per- year.The minority radio news work- 12 percent (from 12.5 percent last cent—for every year in the past 15.