15 - Backward induction: chess, strategies, and credible threats
We first discuss Zermelo's theorem: that games like tic-tac-toe or chess have a solution. That is, either there is a way for player 1 to force a win, or there is a way for player 1 to force a tie, or there is a way for player 2 to force a win. The proof is by induction. Then we formally define and informally discuss both perfect information and strategies in such games. This allows us to find Nash equilibria in sequential games. But we find that some Nash equilibria are inconsistent with backwar
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03 - Arguments for the existence of the soul, Part I
The lecture focuses on arguments that might be offered as proof for the existence of the soul. The first series of arguments discussed is those known as "inferences to the best explanation." That is, we posit the existence of things we cannot see so as to explain something else that is generally agreed to take place.
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6.253 Convex Analysis and Optimization (MIT)
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theory, using a handful of unifying principles that can be easily visualized and readily understood. The mathematical theory of convex sets and functions is discussed in detail, and is the basis for an intuitive, highly visual, geometrical approach to the subject.
Author(s): Bertsekas, Dimitri

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C

Vocabulary, speaking: Sie haben eine Einzimmerwohnung zu vermieten?
In this lesson you will learn vocabulary in order to look for a house.
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Transportation and Spatial Modelling
The objective is to get insight and practice in the design and use of mathematical models for the estimation of transport demand in the framework of major strategic transportation planning. The course consists of a number of lectures and several exercises. Study Goals: 1. Insight in the function of mathematical models in transportation and spatial planning; 2. Knowledge of theoretical backgrounds of models; 3. Knowledge of application areas of models; 4. Ability to develop one's own plan of anal
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by-nc-sa http://creativecommons.org/licenses/by-nc-sa/3.0/

Quantum field theory
This is a module framework. It can be viewed online or downloaded as a zip file. Last taught in Spring Semester 2006 A compilation of fourteen lectures in PDF format on the subject of quantum field theory. This module is suitable for 3rd or 4th year undergraduate and postgraduate level learners. Suitable for year 3/4 undergraduate and postgraduate study. Dr Kirill Krasnov, School of Mathematical Sciences Dr Kirill Krasnov is a Lecturer at the University of Nottingham. After studying physics in K
Author(s): Krasnov K. Dr

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Spending on plastic: the potential for financial distress
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Dean Garratt

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Does income constrain household spending?
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Dean Garratt

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Is the Scottish Premier League less competitive than its English Counterpart?
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Andrew Cooke

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Adobe Acrobat 9 ePortfolios 09: Preparing Video
This installment of Atomic Learning's ePortfolio workshop covers how to use Adobe Premiere Elements to prepare video for your PDF portfolio.
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Exporting Video Files
Learn all the different ways you can export your video files in this Adobe Premiere Elements tutorial.
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142 GG Double Down
When are double words OK? The Grammar Girl print book is now available on Amazon.com! http://tinyurl.com/2pkej7
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3.1.1 Try some yourself

1 Express each of the following percentages as fractions:

  • (a) 40%

  • (b) 8%

  • (c) 70%

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    Author(s): The Open University

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    Copyright © 2013 The Open University

024 CANNON'S CAESAR
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Entozoorum, sive, Vermium intestinalium: historia naturalis - Carolo Rudolphi
Praefatio from Entozoorum 1810. Here is the link in Google http://books.google.com/books?id=XQ4AAAAAQAAJ The author describes his field ( intestinal parasites) in this reading from the introduction to his text. Latin was still used in many Botanical texts until the end of the 1800's.
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Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
In the video, the instructor explores the proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b). In an easy conversational tone, the instructor uses the computer screen as his 'blackboard' and different colors to emphasis his points. For high school students.
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Computers - What Is a Microprocessor?
A microprocessor is the central processing unit on a computer and is a chip embedded on the system's motherboard. Learn more about what a microprocessor is and how it handles all the mathematical and logical calculations on a computer with tips from an IT and computer specialist in this video on computer technology. There are English captions at the bottom. (1:11)

Expert: Robert Vicencio
Bio: Robert Vicencio has worked in information technology (IT) for over 15 years.
Fi

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Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). In an easy conversational tone, the instructor uses the computer screen as his 'blackboard' and different colors to emphasis his points. For high school students.
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Claude Monet: Inventing Impressionism
A girl named Emma gives a report on Monet's life and how he invented impressionism.  She gives good details about is life and how art changed after he invented impressionism.
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Robert Taylor: Network Visionary
[Recorded May 13, 2010] Bob Taylor planned to be a Methodist minister like his father. Instead, he became an evangelist for an idea that changed the world: easy-to-use computers that talk to each other. "I was never interested in the computer as a mathematical device, but as a communication device," Taylor said. Taylor's interests -- and his genius for getting them funded -- helped develop computer networking, the personal computer, and many of the other technologies that drove the global comput
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