Season 6, Episode 4: Airstream Caravan Tukufu Zuberi
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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. -
An Analysis of Hegemonic Social Structures in "Friends"
"I'LL BE THERE FOR YOU" IF YOU ARE JUST LIKE ME: AN ANALYSIS OF HEGEMONIC SOCIAL STRUCTURES IN "FRIENDS" Lisa Marie Marshall A Dissertation Submitted to the Graduate College of Bowling Green State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY August 2007 Committee: Katherine A. Bradshaw, Advisor Audrey E. Ellenwood Graduate Faculty Representative James C. Foust Lynda Dee Dixon © 2007 Lisa Marshall All Rights Reserved iii ABSTRACT Katherine A. Bradshaw, Advisor The purpose of this dissertation is to analyze the dominant ideologies and hegemonic social constructs the television series Friends communicates in regard to friendship practices, gender roles, racial representations, and social class in order to suggest relationships between the series and social patterns in the broader culture. This dissertation describes the importance of studying television content and its relationship to media culture and social influence. The analysis included a quantitative content analysis of friendship maintenance, and a qualitative textual analysis of alternative families, gender, race, and class representations. The analysis found the characters displayed actions of selectivity, only accepting a small group of friends in their social circle based on friendship, gender, race, and social class distinctions as the six characters formed a culture that no one else was allowed to enter. iv ACKNOWLEDGMENTS This project stems from countless years of watching and appreciating television. When I was in college, a good friend told me about a series that featured six young people who discussed their lives over countless cups of coffee. Even though the series was in its seventh year at the time, I did not start to watch the show until that season. -
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. -
Download a PDF of the Transcript
Scene on Radio The Second Revolution (Season 4, Episode 4): Transcript http://www.sceneonradio.org/s4-e4-the-second-revolution/ John Biewen: A content warning: This episode includes descriptions of intense violence. John Biewen: In 1829, the black American writer David Walker published his book, An Appeal to the Coloured Citizens of the World. David Walker [voiceover]: The whites have always been an unjust, jealous, unmerciful, avaricious and blood-thirsty set of beings, always seeking after power and authority…. John Biewen: Walker’s Appeal was one of the most radical abolitionist statements in antebellum America. He condemned the people who called themselves white for their cruel commitment to enslaving black people, and he called on enslaved people to revolt against their masters. Walker also suggested white people deserved punishment from on high. David Walker: I declare, it does appear to me, as though some nations think God is asleep, or that he made the Africans for nothing else but to dig their mines 1 and work their farms, or they cannot believe history, sacred or profane. I ask every man who has a heart, and is blessed with the privilege of believing—Is not God a God of justice to all his creatures? [Music] John Biewen: Other leading abolitionists of the 19th century, including Frederick Douglass and John Brown, voiced some version of this idea: that slavery violated God’s law, or natural law, and white Americans would someday pay for this great sin. It took the cataclysm of the Civil War to bring a white American president to a similar view. -
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 ___. -
Girls' Elite 2 0 2 0 - 2 1 S E a S O N by the Numbers
GIRLS' ELITE 2 0 2 0 - 2 1 S E A S O N BY THE NUMBERS COMPARING NORMAL SEASON TO 2020-21 NORMAL 2020-21 SEASON SEASON SEASON LENGTH SEASON LENGTH 6.5 Months; Dec - Jun 6.5 Months, Split Season The 2020-21 Season will be split into two segments running from mid-September through mid-February, taking a break for the IHSA season, and then returning May through mid- June. The season length is virtually the exact same amount of time as previous years. TRAINING PROGRAM TRAINING PROGRAM 25 Weeks; 157 Hours 25 Weeks; 156 Hours The training hours for the 2020-21 season are nearly exact to last season's plan. The training hours do not include 16 additional in-house scrimmage hours on the weekends Sep-Dec. Courtney DeBolt-Slinko returns as our Technical Director. 4 new courts this season. STRENGTH PROGRAM STRENGTH PROGRAM 3 Days/Week; 72 Hours 3 Days/Week; 76 Hours Similar to the Training Time, the 2020-21 schedule will actually allow for a 4 additional hours at Oak Strength in our Sparta Science Strength & Conditioning program. These hours are in addition to the volleyball-specific Training Time. Oak Strength is expanding by 8,800 sq. ft. RECRUITING SUPPORT RECRUITING SUPPORT Full Season Enhanced Full Season In response to the recruiting challenges created by the pandemic, we are ADDING livestreaming/recording of scrimmages and scheduled in-person visits from Lauren, Mikaela or Peter. This is in addition to our normal support services throughout the season. TOURNAMENT DATES TOURNAMENT DATES 24-28 Dates; 10-12 Events TBD Dates; TBD Events We are preparing for 15 Dates/6 Events Dec-Feb. -
Fluid-Structure Interaction in Coronary Stents: a Discrete Multiphysics Approach
chemengineering Article Fluid-Structure Interaction in Coronary Stents: A Discrete Multiphysics Approach Adamu Musa Mohammed 1,2,* , Mostapha Ariane 3 and Alessio Alexiadis 1,* 1 School of Chemical Engineering, University of Birmingham, Birmingham B15 2TT, UK 2 Department of Chemical Engineering, Faculty of Engineering and Engineering Technology, Abubakar Tafawa Balewa University, Bauchi 740272, Nigeria 3 Department of Materials and Engineering, Sayens—University of Burgundy, 21000 Dijon, France; [email protected] * Correspondence: [email protected] or [email protected] (A.M.M.); [email protected] (A.A.); Tel.: +44-(0)-776-717-3356 (A.M.M.); +44-(0)-121-414-5305 (A.A.) Abstract: Stenting is a common method for treating atherosclerosis. A metal or polymer stent is deployed to open the stenosed artery or vein. After the stent is deployed, the blood flow dynamics influence the mechanics by compressing and expanding the structure. If the stent does not respond properly to the resulting stress, vascular wall injury or re-stenosis can occur. In this work, a Discrete Multiphysics modelling approach is used to study the mechanical deformation of the coronary stent and its relationship with the blood flow dynamics. The major parameters responsible for deforming the stent are sorted in terms of dimensionless numbers and a relationship between the elastic forces in the stent and pressure forces in the fluid is established. The blood flow and the stiffness of the stent material contribute significantly to the stent deformation and affect its rate of deformation. The stress distribution in the stent is not uniform with the higher stresses occurring at the nodes of the structure. -
Chapter 5 Measurement Operational Definitions Numbers and Precision
5 - 1 Chapter 5 Measurement Operational Definitions Numbers and Precision Scales of Measurement Nominal Scale Ordinal Scale Interval Scale Ratio Scale Validity of Measurement Content Validity Face Validity Concurrent Validity Predictive Validity Construct Validity Thinking Critically About Everyday Information Reliability of Measurement Test–Retest Reliability Alternate Form Reliability Split-Half Reliability Factors That Affect Reliability Case Analysis General Summary Detailed Summary Key Terms Review Questions/Exercises 5 - 2 Operational Definitions An essential component of an operational definition is measurement. A simple and accurate definition of measurement is the assignment of numbers to a variable in which we are interested. These numbers will provide the raw material for our statistical analysis. Measurement is so common and taken for granted that we seldom ask why we measure things or worry about the different forms that measurement may take. It is often not sufficient to describe a runner as “fast,” a basketball player as “tall,” a wrestler as “strong,” or a baseball hitter as “good.” If coaches recruited potential team members on the basis of these imprecise words, they would have difficulty holding down a job. Coaches want to know how fast the runner runs the 100-yard dash or the mile. They want to know exactly how tall the basketball player is, the strength of the wrestler, the batting average of the hitter. Measurement is a way of refining our ordinary observations so that we can assign numerical values to our observations. It allows us to go beyond simply describing the presence or absence of an event or thing to specifying how much, how long, or how intense it is. -
Metric Entropy and Minimax Rates
Journal of Machine Learning Research 22 (2021) 1-45 Submitted 6/20; Revised 12/20; Published 1/21 Optimal Structured Principal Subspace Estimation: Metric Entropy and Minimax Rates Tony Cai [email protected] Department of Statistics University of Pennsylvania Philadelphia, PA 19104, USA Hongzhe Li [email protected] Department of Biostatistics, Epidemiology and Informatics University of Pennsylvania Philadelphia, PA 19104, USA Rong Ma [email protected] Department of Biostatistics, Epidemiology and Informatics University of Pennsylvania Philadelphia, PA 19104, USA Editor: Ambuj Tewari Abstract Driven by a wide range of applications, several principal subspace estimation problems have been studied individually under different structural constraints. This paper presents a uni- fied framework for the statistical analysis of a general structured principal subspace estima- tion problem which includes as special cases sparse PCA/SVD, non-negative PCA/SVD, subspace constrained PCA/SVD, and spectral clustering. General minimax lower and up- per bounds are established to characterize the interplay between the information-geometric complexity of the constraint set for the principal subspaces, the signal-to-noise ratio (SNR), and the dimensionality. The results yield interesting phase transition phenomena concern- ing the rates of convergence as a function of the SNRs and the fundamental limit for consistent estimation. Applying the general results to the specific settings yields the mini- max rates of convergence for those problems, including the previous unknown optimal rates for sparse SVD, non-negative PCA/SVD and subspace constrained PCA/SVD. Keywords: Low-rank matrix; Metric entropy; Minimax risk; Principal component anal- ysis; Singular value decomposition 1. Introduction Spectral methods such as the principal component analysis (PCA) and the singular value decomposition (SVD) are a ubiquitous technique in modern data analysis with a wide range of applications in many fields including statistics, machine learning, applied mathematics, and engineering. -
Fracking by the Numbers
Fracking by the Numbers The Damage to Our Water, Land and Climate from a Decade of Dirty Drilling Fracking by the Numbers The Damage to Our Water, Land and Climate from a Decade of Dirty Drilling Written by: Elizabeth Ridlington and Kim Norman Frontier Group Rachel Richardson Environment America Research & Policy Center April 2016 Acknowledgments Environment America Research & Policy Center sincerely thanks Amy Mall, Senior Policy Analyst, Land & Wildlife Program, Natural Resources Defense Council; Courtney Bernhardt, Senior Research Analyst, Environmental Integrity Project; and Professor Anthony Ingraffea of Cornell University for their review of drafts of this document, as well as their insights and suggestions. Frontier Group interns Dana Bradley and Danielle Elefritz provided valuable research assistance. Our appreciation goes to Jeff Inglis for data assistance. Thanks also to Tony Dutzik and Gideon Weissman of Frontier Group for editorial help. We also are grateful to the many state agency staff who answered our numerous questions and requests for data. Many of them are listed by name in the methodology. The authors bear responsibility for any factual errors. The recommendations are those of Environment America Research & Policy Center. The views expressed in this report are those of the authors and do not necessarily reflect the views of our funders or those who provided review. 2016 Environment America Research & Policy Center. Some Rights Reserved. This work is licensed under a Creative Commons Attribution Non-Commercial No Derivatives 3.0 Unported License. To view the terms of this license, visit creativecommons.org/licenses/by-nc-nd/3.0. Environment America Research & Policy Center is a 501(c)(3) organization.