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4.3 The Euler characteristic

Subdivisions of surfaces lead to the third number used to classify surfaces, the Euler characteristic.

Definition

The Euler characteristic χ of a subdivision of a surface is

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Carol Robinson: Finding the right balance - from rare gases to rotary motors
Professor Dame Carol Robinson is based at Oxford University. Se has been involved in the field of Mass spectrometry for many years, pioneering work on proteins and complex molecules and trying new things. She talks about her science and her work life balance.
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Industry perspectives in media branding and promotion
In this presentation from the Institute of Film and Television Studies' Ephemeral Media Workshops Charlie Mawer from Red Bee Media, discusses his company's work on the branding and promotion of television channels; from BBC channels through to new channels like Dave. Presentation produced/delivered: June/July 2009 Suitable for undergraduate study and community education Charlie Mawer, Executive Creative Director, Red Bee Media Charlie Mawer, after a spell of writing comedy, joined a fledgli
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Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by

1 Historia

En esta unidad hablaremos de historia, tanto de España como de Latinoamérica. Además de las culturas musulmana y judía en España, tendrás oportunidad de acercarte a las civilizaciones inca, maya y azteca y conocerás a algunos personajes históricos importantes. Vas a familiarizarte con distintos estilos narrativos como la leyenda, el cuento, la fábula y otros géneros como los corridos mexicanos y los romances.

Practicarás cómo escribir diarios personales y blogs, y cómo desc
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Society for Irish Latin American studies
The Society for Irish Latin American studies is a society dedicated to "promote the study of relations between Ireland and Latin American countries." Founded in 2003, the society encompasses study of Irish emigrants to Latin America, including their settlement, lives, and achievements as well as the role of Ireland in Latin America and Latin America in Ireland in the current day. The website covers a wealth of useful background information on the society, including information about the annual c
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1.5.1 Why is it important to be organised?

  • 87% of items that are filed into a filing cabinet are never looked at again. STANFORD UNIVERSITY

  • In 2010, the world's digital information output was estimated to pass 1.2zettabytes - A zettabyte is a new term which equals a thousand billion gigabytes. UNIVERSITY OF CALIFORNIA (BERKELEY)

  • A new blog is created every second. TECHNORATI

  • 10% of salary costs are wasted as
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Snow Cat DP087403

*

Snow scene. Snowman 'snowcat'.
© Historic England


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3.9 Order of decimal calculations

The same rules about the order of calculations apply to decimals as apply to whole numbers.

Calculations are performed in the following order:

Brackets;

Powers (e.g. squaring or cubing a number);

Division and Multiplication (performed in the order written, left to right);

Addi
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Conversations With History - Alain C. Enthoven
"Planning, Policy and Politics" Alain C Enthoven, Marriner S. Eccles Emeritus Professor of Public and Private Management, Stanford University In his 500th interview, Conversations host Harry Kreisler welcomes Stanford Professor Alain Enthoven for a discussion of public service and policy analysis. Recalling his tenure in the office of Secretary of Defense Robert McNamara during the Kennedy administration, Enthoven describes the efforts to control military expenditures by using systems analysis
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1.1.2 The carbon footprint boundary

Depending on where you draw the boundary, the carbon footprint can apply to an individual person, a household, an organisation or event, a product, a city, region or country, or the whole world. I'll mainly be considering the footprints of individuals, households and the countries they occupy.

But even then the boundary needs to be defined carefully. Sometimes the carbon footprint is taken to mean the individual's or household's direct CO2 emissions, main
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7.5.3 Monitor and critically reflect on your use of number skills

As you use number skills in your work, refer back to the outcomes you hope to achieve and the goals you have set yourself. Ask yourself questions such as:

  • am I on track to achieve my outcomes?

  • what difficulties in using numerical or mathematical techniques have I experienced and what have I done about them?

  • how have the choices and decisions I made impacted on the quality of my work?

  • do I need to make
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    Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University

Airtel postpaid customer care number

Video link (see supported sites below). Please use the original link, not the shortcut, e.g. www.youtube.com/watch?v=abcde

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Rights not set

2.4 Summary of Part A

Part A explored the development of humanitarian and human rights law. The development of new democracies with written constitutions laid the framework for the general recognition of rights such as freedom of speech. General principles emerged:

  • certain rights exist because a human being is entitled to ‘humanity’;

  • those rights cannot be denied or taken away;

  • recognition of the rule of law.


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2.3 Towards a critical framework

Is it possible to construct an alternative framework for understanding young people's health, and if so, what resources might we need to draw on to do so?

A cultural perspective can help us to see constructions of adolescent mental health as interwoven with histories of ‘youth concern’. Recent debates about young people's wellbeing can be seen as an extension of more general anxieties about the state of contemporary childhood (James and Prout, 1997). A Foucauldian analysis wo
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6.2 Contesting ideologies

Much social science analysis has been devoted to exploring the variants and consequences of this simple view of ideology, including capitalist ideology, which legitimates the interests of owners of capital against the working class; patriarchal ideology, which legitimates the interests of men against women; and racist ideology, which legitimates the interests of dominant ethnic groups against others – most evidently in the ideology of apartheid in South Africa. However, this simple and func
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Air Pollution
How we can be sure our air is safe to breathe? This album introduces the principles and concepts of air quality management and looks at how we analyse pollution control problems. Five video tracks review the nature and characteristics of air pollution today and demonstrate how air quality data is interpreted. They include a comparison between shipping and car emission levels, the processes used to remove pollutants from the air, and ways in which British Aerospace could limit its Volatile Organ
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Reducing your ecological footprint
Concerned about your impact on the environment? Interested in learning how to shape a more sustainable future? This album shows you simple ways to adapt your lifestyle and how to think globally. Five video tracks demonstrate how to assess the ‘ecological footprint’ of your household, examine the effects of personal transport on the environment, and explore how your decisions as food consumers are part of a supply chain stretching across Europe and the rest of the world. They feature an energ
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3.2 Is productivity sustainable?

Are the recent increases in productivity sustainable? The answer to this question, and the crux of the debate concerning the effect of IT, centres on distinguishing whether recent increases in productivity are just cyclical, and hence temporary, or whether they are the beginning of a new and long-lasting trend. If the increase in productivity in the USA in the late 1990s was cyclical, this means that it occurred simply because the US economy as a whole was undergoing a bo
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4.2 'Biological control'

We are also guilty of importing exotic species, some of which, like the rhododendron (imported from Asia to Europe), have run riot in the absence of natural predators or primary consumers, and so have tended to out-compete native plants. Sometimes introductions have been accidental; rats and many disease-causing organisms have spread around the world via relatively modern transportation such as sailing ships. However, deliberate introductions, such as the rhododendron, have been made with wor
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4.3 R is for Relevance

Relevance is an important factor to consider when you are evaluating information. It isn't so much a property of the information itself but of the relationship it has with your question or your 'information need'. For example, if you are writing an essay about robotics a book or website about green energy would probably not be relevant. So there are a number of ways in which a piece of information may not be relevant to your query:

  • geographical (It m
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