6.042 class from 11/27/12
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Carol of Lights 2012 Timelapse
This is a timelapse video from the Carol of Lights 2012, taken from the roof of the Math Building at Texas Tech.
Factbox: Macau's lucky streak not letting up
Dec. 3 - New gaming revenue figures from Macau suggest that the party is rolling on in China's only legal gambling den. No reporter narration.
Breakingviews: Capital probe puts heat on RBS
Dec. 3 - The Bank of England questions whether banks are adequately provisioned against future losses. RBS's 66 bln pound commercial property book is one place to start asking questions, says Breakingviews.
Breakingviews: Fiscal cliff dividends
Jeffrey Goldfarb and Breakingviews columnists discuss how a wave of special dividends being paid out before year's end are indicative of how Corporate America fears higher taxes more than a recession.
Economy-Wide Estimates of Climate-Induced Impacts on Philippine Agriculture: A Computable General
By: UP Los Baños Presentation by Dr. Arvin B. Vista, Assistant Professor, College of Economics and Management, University of the Philippines Los Banos,
Philippines. Delivered during the International Conference on Climate Change Impacts and Adaptation for Food and Environmental Security, November 21-22, 2012 at SEARCA, UPLB, College, Laguna, Philippines.
The Marxian Doctrine of "Ideology" [This article is excerpted from volume 2, chapter 12 of An Austrian Perspective on the History of Economic Thought (1995). An MP3 audio file of this chapter, narrated by Jeff Riggenbach, is available for download.] Vaccination 2.3 Calculating probability If a process is repeated in identical fashion a very large number of times, the probability of a given outcome is defined as the fraction of the results corresponding to that particular outcome. Numbers Introduction In the OpenLearn unit on Developing modelling skills (MSXR209_3), the idea of revising a model was introduced. In this unit you will be taken through the whole modelling process in detail, from creating a first simple model, through evaluating it, to the subsequent revision of the model by changing one of the assumptions. The new aspect here is the emphasis on a revised model, which comes in Section 2. The problem that will be examined is one based on heat transfer. This unit, the four Acknowledgements All written material contained within this unit originated at the Open University. The audio extract is taken from M208 © Copyright 2006 The Open University. http://www.flickr.com/photos/re_birf/69485963/ [Details correct as of 9th June 2008] 3.3.1 Post-audio exercises To practise using the techniques described in the audio, we suggest that you now try the following exercises. Use the Binomial Theorem to prove that
6.3 More short investigations Here are two short investigations involving large numbers for you to try. Please do not turn to the comments on these exercises until you have made some notes and had a go yourself. Family tree 2.6 Negative powers Now look at what happens when the power is negative. What does 10−3 mean? What is the result of the following calculation? 100 ÷ 100 000 What you are actually being asked to find is: But look at the calculation again. Using the rule for the division 2.3.1 Try some yourself 1 Write the following as one number to a single power: (a) 23 × 24 (b) 32 × 34 (c) 42 × 43 × 44< 2.2.1 Try some yourself 1 Find the following powers by hand, as estimates for calculator work. (a) 107 (b) 108 (c) 34 (d) (−2)2 2.1.1 Try some yourself 1 The size of a population of micro-organisms doubles every hour. If there are two of these creatures to start with, how many will there be after five hours? Af 1.3.1 Try some yourself 1 The new home owners from Example 4 above want to price grass seed, as well as the turf (transport only). The best buy seems to be loose seed, which says ‘1 kilo covers 80 m2’. They wonder what length the side of an 80 m2 1.1.1 Try some yourself 1 Evaluate the following: (a) 62 (b) 0.52 (c) 1.52
Vaccinations are now considered a part of everyday life, but how do they work? This unit will help those with a background in biology understand the historical development of vaccination, assess the various types of vaccines used today, examine their production and explore the limitations that are placed on vaccination programmes. First published on Tue, 04 Oct 2011
This unit will help you understand more about real numbers and their properties. It will explain the relationship between real numbers and recurring decimals, explain irrational numbers and discuss inequalities. The unit will help you to use the Triangle Inequality, the Binomial Theorem and the Least Upper Bound Property. First published on Wed, 2
Audio Materials
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Exercise 18
Exercise 13: Where did I come from?
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