An Analysis of the CBS "Final Comments on the Violence Profile"
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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. -
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. -
Pre-Upfront Thoughts on Broadcast TV, Promotions, Nielsen, and AVOD by Steve Sternberg
April 2021 #105 ________________________________________________________________________________________ _______ Pre-Upfront Thoughts on Broadcast TV, Promotions, Nielsen, and AVOD By Steve Sternberg Last year’s upfront season was different from any I’ve been involved in during my 40 years in the business. Because of the COVID-19 pandemic, there were no live network presentations to the industry, and for the first time since I’ve been evaluating television programming, I did not watch any of the fall pilots before the shows aired. Many new and returning series experienced production delays, resulting in staggered premieres, shortened seasons, and unexpected cancellations. The big San Diego and New York comic-cons were canceled. There was virtually no pre-season buzz for new broadcast or cable series. Stuck at home with fewer new episodes of scripted series than ever to watch on ad-supported TV, people turned to streaming services in large numbers. Netflix, which had plenty of shows in the pipeline, surged in terms of both viewers and new subscribers. Disney+, boosted by season 2 of The Mandalorian and new Marvel series, WandaVision and Falcon and the Winter Soldier, was able to experience tremendous growth. A Sternberg Report Sponsored Message The Sternberg Report ©2021 ________________________________________________________________________________________ _______ Amazon Prime Video, and Hulu also managed to substantially grow their subscriber bases. Warner Bros. announcing it would release all of its movies in 2021 simultaneously in theaters and on HBO Max (led by Wonder Woman 1984 and Godzilla vs. Kong), helped add subscribers to that streaming platform as well – as did its successful original series, The Flight Attendant. CBS All Access, rebranded as Paramount+, also enjoyed growth. -
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. -
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 . -
MCPS TV Fpvs
MCPS Broadcast Blanket Distribution - TV FPV Rates paid July 2014 Non Peak Non Peak Progs Progs P(ence) P(ence) Peak FPV Non Peak (covered (covered Manufact Period Rate (per Rate (per (per FPV (per by by Source/S urer Source Link (YYMMYYM weighted weighted weighted weighted blanket blanket Licensee Channel Name hort Code udc Number Type code M) second) second) minute) minute) licence) licence) AATW Ltd Channel AKA CHNAKA S1759 287294 208 qbc 13091312 0.015 0.009 Y Y BBC BBC 1 BBCTVD Z0003 5258 201 qdw 14011403 75.452 37.726 45.2712 22.6356 Y Y BBC BBC 2 BBC2 Z0004 316168 201 qdx 14011403 17.879 8.939 10.7274 5.3634 Y Y BBC BBC ALBA BBCALB Z0008 232662 201 qe2 14011403 6.48 3.24 3.888 1.944 Y Y BBC BBC HD BBCHD Z0010 232654 201 qe4 14011403 6.095 3.047 3.657 1.8282 Y Y BBC BBC Interactive BBCINT AN120 251209 201 qbk 14011403 6.854 4.1124 Y Y BBC BBC News BBC NE Z0007 127284 201 qe1 14011403 8.193 4.096 4.9158 2.4576 Y Y BBC BBC Parliament BBCPAR Z0009 316176 201 qe3 14011403 13.414 6.707 8.0484 4.0242 Y Y BBC BBC Side Agreement for S4C BBCS4C Z0222 316184 201 qip 14011403 7.747 4.6482 Y Y BBC BBC3 BBC3 Z0001 126187 201 qdu 14011403 15.677 7.838 9.4062 4.7028 Y Y BBC BBC4 BBC4 Z0002 158776 201 qdv 14011403 9.205 4.602 5.523 2.7612 Y Y BBC CBBC CBBC Z0005 165235 201 qdy 14011403 8.96 4.48 5.376 2.688 Y Y BBC Cbeebies CBEEBI Z0006 285496 201 qdz 14011403 12.457 6.228 7.4742 3.7368 Y Y BBC Worldwide BBC Entertainment Africa BBCENA Z0296 286601 201 qk2 14011403 5.556 2.778 3.3336 1.6668 N Y BBC Worldwide BBC Entertainment Nordic BBCENN Z0300 -
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. -
Annex 2: Providers Required to Respond (Red Indicates Those Who Did Not Respond Within the Required Timeframe)
Video on demand access services report 2016 Annex 2: Providers required to respond (red indicates those who did not respond within the required timeframe) Provider Service(s) AETN UK A&E Networks UK Channel 4 Television Corp All4 Amazon Instant Video Amazon Instant Video AMC Networks Programme AMC Channel Services Ltd AMC Networks International AMC/MGM/Extreme Sports Channels Broadcasting Ltd AXN Northern Europe Ltd ANIMAX (Germany) Arsenal Broadband Ltd Arsenal Player Tinizine Ltd Azoomee Barcroft TV (Barcroft Media) Barcroft TV Bay TV Liverpool Ltd Bay TV Liverpool BBC Worldwide Ltd BBC Worldwide British Film Institute BFI Player Blinkbox Entertainment Ltd BlinkBox British Sign Language Broadcasting BSL Zone Player Trust BT PLC BT TV (BT Vision, BT Sport) Cambridge TV Productions Ltd Cambridge TV Turner Broadcasting System Cartoon Network, Boomerang, Cartoonito, CNN, Europe Ltd Adult Swim, TNT, Boing, TCM Cinema CBS AMC Networks EMEA CBS Reality, CBS Drama, CBS Action, Channels Partnership CBS Europe CBS AMC Networks UK CBS Reality, CBS Drama, CBS Action, Channels Partnership Horror Channel Estuary TV CIC Ltd Channel 7 Chelsea Football Club Chelsea TV Online LocalBuzz Media Networks chizwickbuzz.net Chrominance Television Chrominance Television Cirkus Ltd Cirkus Classical TV Ltd Classical TV Paramount UK Partnership Comedy Central Community Channel Community Channel Curzon Cinemas Ltd Curzon Home Cinema Channel 5 Broadcasting Ltd Demand5 Digitaltheatre.com Ltd www.digitaltheatre.com Discovery Corporate Services Discovery Services Play -
Precise Radioactivity Measurements a Controversy
http://cyclotron.tamu.edu Precise Radioactivity Measurements: A Controversy Settled Simultaneous measurements of x-rays and gamma rays emitted in radioactive nuclear decays probe how frequently excited nuclei release energy by ejecting an atomic electron THE SCIENCE Radioactivity takes several different forms. One is when atomic nuclei in an excited state release their excess energy (i.e., they decay) by emitting a type of electromagnetic radiation, called gamma rays. Sometimes, rather than a gamma ray being emitted, the nucleus conveys its energy electromagnetically to an atomic electron, causing it to be ejected at high speed instead. The latter process is called internal conversion and, for a particular radioactive decay, the probability of electron emission relative to that of gamma-ray emission is called the internal conversion coefficient (ICC). Theoretically, for almost all transitions, the ICC is expected to depend on the quantum numbers of the participating nuclear excited states and on the amount of energy released, but not on the sometimes obscure details of how the nucleus is structured. For the first time, scientists have been able to test the theory to percent precision, verifying its independence from nuclear structure. At the same time, the new results have guided theorists to make improvements in their ICC calculations. THE IMPACT For the decays of most known excited states in nuclei, only the gamma rays have been observed, so scientists have had to combine measured gamma-ray intensities with calculated ICCs in order to put together a complete picture known as a decay scheme, which includes the contribution of electron as well as gamma-ray emission, for every radioactive decay. -
Multiplication As Comparison Problems
Multiplication as Comparison Problems Draw a model and write an equation for the following: a) 3 times as many as 9 is 27 b) 40 is 4 times as many as 10 c) 21 is 3 times as many as 7 A Write equations for the following: a) three times as many as four is twelve b) twice as many as nine is eighteen c) thirty-two is four times as many as eight B Write a comparison statement for each equation: a) 3 x 7 = 21 b) 8 x 3 = 24 c) 5 x 4 = 20 ___ times as many as ___ is ___. C Write a comparison statement for each equation a) 45 = 9 x 5 b) 24 = 6 x 4 c) 18 = 2 x 9 ___ is ___ times as many as ___. ©K-5MathTeachingResources.com D Draw a model and write an equation for the following: a) 18 is 3 times as many as 6 b) 20 is 5 times as many as 4 c) 80 is 4 times as many as 20 E Write equations for the following: a) five times as many as seven is thirty-five b) twice as many as twelve is twenty-four c) four times as many as nine is thirty-six F Write a comparison statement for each equation: a) 6 x 8 = 48 b) 9 x 6 = 54 c) 8 x 7 = 56 ___ times as many as ___ is ___. G Write a comparison statement for each equation: a) 72 = 9 x 8 b) 81 = 9 x 9 c) 36 = 4 x 9 ___ is ___ times as many as ___.