Exercice 15 (Logique, ensembles, raisonnements) [00153]

Exo7. Exercices de mathématiques pour les étudiants.
Retrouvez la correction écrite sur http://exo7.emath.fr

Raisonnement par récurrence, somme d'entiers, "sigma".
Bonus (à 3'22'') : somme d'entiers, somme de cubes.


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A special report on pensions
People in rich countries are living longer. Without big reforms they will not be able to retire in comfort, says Philip Coggan
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1.1 Thoughts on a PhD
Are you about to undertake a PhD in science, technology or mathematics? If so, this unit will help you to examine your work processes. You will consider and develop the nature of postgraduate work and look at the planning of work needed at doctoral level.
Author(s): The Open University

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How to Play the C Major Scale on the Xylophone
This video will teach you how to properly play the C major scale on the xylophone.
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民法IV(債権各論)
民法典第3編「債権」のうち、債権の発生原因として規定されている契約、事務管理、不当利得、不法行為(いわゆる債権各論)について、各制度の基本的な仕組みと考え方、および現実の問題の現れ方につき概説する。講義項目の順序・日程などの詳細は、教科書等の説明と共に、最初の時間に示す。
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Propaganda Techniques
Teacher made video giving commercial examples of the different types of propaganda. (8:51)
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Agricultural and Urban Revolutions
What do historians know about the earliest farmers and herders, and the evolution of cities? Newly emerging evidence about the “cradles of civilization” is examined in light of the social, technological, and cultural complexity of recently discovered settlements and cities. (28:35)
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Le développement durable - François Mancebo

Une conférence de l'UTLS au Lycée

Le développement durable par François Mancebo

Lycée Jehanne d'Arc (59 Tourcoing)


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Peut-on concilier la croissance économique et le développement durable - Bertrand Zuindeau

Une conférence de l'UTLS au Lycée

Peut-on concilier la croissance économique et le développement durable au sein de l'Union Européenne et plus généralement au niveau mondial ? par Bertrand Zuindeau (économiste)

Lycée Béhal (62 Lens)


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Exercice 2 (Dénombrement) [00220]

Exo7. Exercices de mathématiques pour les étudiants.
Retrouvez la correction écrite sur http://exo7.emath.fr

Bonus (à 4'07'') : formule du binôme de Newton et dénombrement.


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Exercice 4 (Dénombrement) [05284]

Exo7. Exercices de mathématiques pour les étudiants.
Retrouvez la correction écrite sur http://exo7.emath.fr

Bonus (à 2'38'') : exercices.


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3.1 The steps to systems modelling

Systems modelling in practice usually involves six broad steps, within each of which there may be many subsidiary steps and some checking and revision. There is also likely to be iteration back to the earlier steps, as issues which call for changes in earlier decisions are uncovered.

Nevertheless, in my experience, the following six steps are likely to cover the basics.

  1. Identify the system of interest, in particular specify the system boundary a
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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

2.2.2 A second diagram
The power of graphics should not the underestimated. They can express information clearly and simply. This unit will help you to assess which style of graphic to use in different situations.
Author(s): The Open University

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2.1.2 How a force-field diagram can help
The power of graphics should not the underestimated. They can express information clearly and simply. This unit will help you to assess which style of graphic to use in different situations.
Author(s): The Open University

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Using the matrix
The power of graphics should not the underestimated. They can express information clearly and simply. This unit will help you to assess which style of graphic to use in different situations.
Author(s): The Open University

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1.5.1 Using matrices
The power of graphics should not the underestimated. They can express information clearly and simply. This unit will help you to assess which style of graphic to use in different situations.
Author(s): The Open University

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The Heart of the Matter
This lesson describes how the circulatory system works, including the heart, blood vessels and blood. Students learn about the chambers and valves of the heart, the difference between veins and arteries, and the different components of blood. This lesson also covers the technology engineers have developed to repair the heart if it is damaged. Students also understand how the circulatory system is affected during spaceflight (e.g., astronauts lose muscle in their heart during space travel).
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Using, developing and sharing resources
Using, developing and sharing resources
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