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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 (
Author(s): The Open University

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Atoms and Molecules
This video is accompanied by text: "...An atom is the fundamental unit of chemical matter. The nucleus is an atom's center of mass and center of positive charge. The nucleus contains positively charged protons, shown in white, and uncharged neutrons, shown in blue. A cloud of negatively charged particles called electrons surrounds the nucleus.
All atoms of a given element have the same number of protons, but the number of neutrons can vary. Isotopes are atoms of the same element with diff

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1 Technological advancement

Everything that can be invented has been invented.

(The Commissioner of the United States Office of Patents, 1899, recommending that his office be abolished, quoted in The Economist, 2000, p. 5)

There is nothing now to be foreseen which can prevent the United States from enjoying an era of business prosperity which is entirely
Author(s): The Open University

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4.19 Technologies and explicit knowledge continued

The following examples give a taste of what is now making the transition from research laboratories into commercial products. Large hierarchical information structures are extremely common, whether in libraries, organisational charts or websites. Displaying such large structures is a challenge, and since the user soon runs out of screen space, navigating them can be tedious. Screen 7 shows a system that uses animation and carefully designed graphical effects to give the impression of manipula
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Students of St Cross
Students of St Cross college discuss living and studying at the college.
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Ku Klux Klan- A Secret History [9/9]
(Caution: Scenes of violence and insensitive racial language)THE 20TH CENTURY(TM) ventures back to the days of the Reconstruction South and through the landmarks in Klan history to tell the complete story of the most famous hate group in America. Discover how the six original Klansmen came together and chose their name. See how the release of America's first blockbuster movie spurred a resurgence in the KKK and how they expanded their target to include Jews, Catholics and immigrants as well as b
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6 Concentrating, storing and transporting energy

The Earth is awash with energy from sources other than fossil fuels; thousands of times as much as humans use. Why
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'Martin Ceadel and the Study of Peace and War' Session 4: Keynote Presentation
A research colloquium to mark the retirement of Professor Martin Ceadel, preeminent historian of the British peace movement and one of the world’s foremost experts on the politics of war prevention and its impact on international relations. A research colloquium to mark the retirement of Professor Martin Ceadel, preeminent historian of the British peace movement and one of the world’s foremost experts on the politics of war prevention and its impact on international relations, and to celebra
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Of Visions, Dreams and Reality; Sustainable Housing in Perspective (Inaugural Lecture - Professor Ma
The inaugural lecture of Professor Malcolm Bell, Downing Chair in Surveying and Sustainable Housing, was held on Tuesday 18 May 2010. Professor Bell's lecture titled "Of Visions, Dreams and Reality; Sustainable Housing in Perspective" explored the issues and challenges of making very large reductions in carbon emissions from housing. It drew on some 20 years of research work in the Buildings, Energy and Sustainability research group, which is part of the Centre for the Built Environment (CeBE) a
Author(s): Professor Malcolm Bell

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3 The water table

The water table is a fundamental reference surface in the study of groundwater. It tends to follow the ground surface, rising under hills and falling at valleys, but the gradient of the water table is usually much less than that of the ground surface (Figure 4). Under hills the water table is usually at greater depths below the surf
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VUCast: A wireless capsule and hallucinating without drugs
See how a wireless capsule could help during minimally invasive surgeries Why magnesium and vitamin D are a match made in heaven And do you really see the S in the USA network logo? Watch this QuickVU roundup of research stories.
Author(s): Vanderbilt News and Communications

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Other selection methods
Welcome to Other Selection Methods a workbook in the Futures series of workbooks, which help students choose and prepare a career route after graduation. Like the other workbooks in the series you can dip in and out doing the exercises which are most relevant to you. You might want to include the exercises or the output in your personal development plan or e-portfolio. The aim of this workbook is to introduce you to a range of common selection methods used by employers to select graduates for jo
Author(s): Leeds Metropolitan University

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Présentation de l'expédition "La Planète Revisitée" en Papouasie (Vidéo)

En 2012/2013, le programme d'expéditions du Muséum national d'Histoire naturelle et Pro-Natura international "La Planète Revisitée" ont organiseé une grande expédition en Papouasie-Nouvelle-Guinée.


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2.1 Industry and markets: what do we mean?

Case study: Digital outsells film

Sales of digital cameras have overtaken traditional 35 mm cameras for the first time. According to monthly figures collated by national electric and photo retailer Dixons, digital camera sales out
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Text in the Social Sciences Session 1: Getting Started
Félix Krawatzek and Andy Eggers discuss methods to analyse large bodies of text in more systematic and reliable ways.
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Dr Azouz Begag: From Shanty Town Kid to Government Minister in France
Dr. Azouz Begag, France’s best-known writer of Algerian immigrant origin, former Minister for Equal Opportunities, sociologist, novelist, and screenplay writer, speaks about his journey from shanty town kid to government minister in France. He talks of his passionate commitment to social emancipation for ‘young ethnics’ in France through education and political engagement. 2 August 2013
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How the Mises Institute Builds New Scholars
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1.4 Law, skills and learning outcomes

This unit has a number of learning outcomes. In relation to a course of study, a learning outcome is simply something which you should be able to do (and to show that you can do) at the end of studying a particular unit. The learning outcomes are concerned with ability to demonstrate knowledge and understanding of company law, and also ability to demonstrate a range of skills, including use of IT, research and problem-solving.

In addition to being listed at the beginning of the unit, th
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1.3.8 Separation from the physical body

Very common is the experience of floating, sometimes on the ceiling, looking down on the body – a sense that the essential part of the person has separated from the physical body. In Michael Sabom’s survey of near-death experiences among non-surgical cases everyone had this sensation, but other studies indicate it is not universal. One woman recorded these feelings in a poem.

Hovering beneath the ceiling, I looked down

Upon a body,
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Tweeted from @geograph_bi in June 2015
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