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Cold War: Allies Against The Axis - part 3/5
1917 - 1945 Though ideological enemies, the Soviet Union and the U.S. are allies against Hitler during World War II. At the end of the war, Europe is divided, and the one-time allies now confront each other. The U.S. has the atomic bomb.
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Maths in Nature and Art
A short introduction to the content of this album.
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6.1 Buying a book online

I've chosen this because books (together with music CDs and DVDs) are often the first things that people buy online. In this case I'm after a book by an American academic named Lawrence Lessig. I'm not sure of the exact title, but I know it's got 'culture' in it.

Step 1 Find a site that sells what you want

In this case, it's easy. I'm looking for a book, and Amazon is the best-known online book retailer. So I click on http://www.amazon.co.uk. Why not http://www.amazon.com
Author(s): The Open University

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4.2 Social dynamics

Yet another type of diagram is given in this section. Take a preliminary look at Figure 7, which is a way of illustrating the relationship
Author(s): The Open University

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1.7.3 What is proportion?

A common criticism of many children's and some adults' drawings is that certain parts are not ‘in proportion’. That means that they are either too big or too small in relation to the rest of the masterpiece. ‘In proportion’ means being in the same ratio. Imagine that you have drawn a picture of the front of your house, reducing it in scale to one twentieth of its size.

Author(s): The Open University

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Introduction

Many people have the impression that underground water occupies vast caverns, such as those in the Derbyshire Peak District, flowing from one cavern to another along underground rivers. This is a common misconception: underground caverns are fairly rare, but huge quantities of water exist underground, within rocks. This is because many rocks contain pores, spaces that come in all shapes and sizes. In sediments, and consequently sedimentary rocks, there are often pores between grains which can
Author(s): The Open University

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Ocean Acidification Symposium - The metal isotope toolbox: a case study in the Southern Ocean
The Ocean Acidification Symposium was presented by the Centre for Chemical and Physical Oceanography, in November of 2012. The day-long symposium featured brief presentations from a wide range of researchers, of which this is one: Dr Melanie Gault-Ringold explores the role of bioactive metals in the lives of southern Ocean phytoplankton. This talk looks at the role of cadmium and other metals, and how southern ocean phytoplankton differ form their northern cousins
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Working and Learning In Sport and Fitness
A short introduction to this album.
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Anisotropic dielectric permittivity: tetragonal-cubic phase transition in barium titanate
A thin section of barium titanate is viewed between crossed-polars, Initially, the sample is below the transition temperature, and since the domains of the anisotropic tetragonal phase exhibit birefringence, it is brightly coloured when viewed between crossed-polars. When the sample reaches the transition temperature, the isotropic cubic phase forms, which appears black. From TLP: Introduction to Anisotropy, http://www.msm.cam.ac.uk/doitpoms/tlplib/anisotropy/dielectric.php
Author(s): DoITPoMS, University of Cambridge

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http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

6.4 The principle of proportionality

This principle has been developed and refined by the ECJ and is also covered by Article 5 EC:

Any action of the Community shall not go beyond what is necessary to achieve the objectives of this Treaty.

However, given that the objectives of the Community are defined very widely in Article 2 EC, the principle of proportionality is not always the easiest tool for curbing EU legislative enthusiasm.
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2.1.3 Try some yourself

1 Suggest appropriate units for each of the following:

  • (a) the age of the kitten when it is weaned;

  • (b) the distance between one train station and the next;

  • (c) the am
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8.2 Stakeholder traps

I've found it's not at all uncommon to discover I have a stake in a situation. Complex situations often spread their tentacles into all sorts of areas, so that the number of people touched by them can be very large. This increases the chances of an individual acquiring a stake, even an indirect or second hand one. The human capacity to empathise draws me into a situation so that I form pre-judgements about fairness, blame and so on without really trying. In many ways this is to be welcomed
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5.13 Groundwater treatment

The treatment of groundwater frequently does not extend beyond disinfection. However, groundwater may contain dissolved substances such as carbon dioxide and iron for which additional treatment (aeration, biological treatment, etc.) may be required. In some instances groundwater may be hard, and where the concentration of dissolved solids is greater than about 300 g m−3 it may be desirable to soften the water to reduce scale formation and soap wastage. The methods usually adopted
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6.2.3 Security: are my credit card details safe?

Many people now shop regularly on the web. However, many others don't because they fear that an unscrupulous person could obtain their credit card details. They also fear that if they provide their names and addresses to a firm on the web, they will be bombarded with junk mail (or its electronic equivalent, junk email). Some worry that, since anyone can put up a website, the seller may be bogus and no goods will appear after the sale has been completed or won't be as advertised.

Consequ
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Lecture 1: Introduction to the Jenkin Lecture
Patron of the Centenary, Lord Jenkin of Roding's inaugural Centenary lecture. Lord Jenkin of Roding, the grandson of the first Professor of Engineering Science at Oxford University, Frewen Jenkin, formally launched Oxford's Centenary of Engineering Science on 15th September 2007. In his introduction to The Jenkin Lecture Lord Roding, Patron of the Centenary, shared his recollections of his grandfather Frewen Jenkin - who was elected Oxford's first Professor of Engineering Science in 1908.
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Christmas Around The World
This short video from 2008 is about how Christmas was celebrated in various places and by notable people.  Included are British royals, President-Elect (at the time) Barack Obama, miliary personnel, and the Pope.  Bethlehem is included as well. (01:40)
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Learning outcomes

After studying this course, you should be able to:

  • visualise problems using pictures and diagrams

  • recognise patterns in a variety of different situations

  • use a word formula to help solve a problem

  • derive simple word formulas, for example for use in a spreadsheet

  • use doing and undoing diagrams to change formulas round.


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1.1: Converting to component form

In some applications of vectors there is a need to move backwards and forwards between geometric form and component form; we deal here with how to achieve this.

To start with, we recall definitions of cosine and sine. If P is a point on the unit circle, and the line segment OP makes an angle θ measured anticlockwise from the positive x-axis, then cos θ is the x-coordinate of P and sin θ is the y-coordinate of P (
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