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Read e-book online An Introduction to Statistics PDF

By Arthur H. Hall (auth.)

ISBN-10: 1349031461

ISBN-13: 9781349031467

ISBN-10: 1349031488

ISBN-13: 9781349031481

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Download e-book for kindle: Mathématiques 1re S et E by

Desk des matières :

Chapitre 1. L’outil vectoriel et analytique
    I. Introduction
    II. Le plan vectoriel (rappels)
    III. Les liaisons « plan ponctuel-plan vectoriel »
    IV. L’outil analytique
    V. Compléments
    Exercices

Chapitre 2. L’outil des transformations
    I. Introduction
    II. alterations usuelles
    III. motion sur les configurations élémentaires
    IV. ameliorations associant une determine donnée à une determine donnée
    V. Composition de transformations
    VI. Compléments
    Exercices

Chapitre three. Les angles
    I. Introduction
    II. perspective d’un couple de vecteurs
    III. L’addition des angles
    IV. Propriétés géométriques
    V. Angles et cercles
    VI. Compléments
    Exercices

Chapitre four. Le produit scalaire
    I. Introduction
    II. Produit scalaire de deux vecteurs (rappel)
    III. Produit scalaire en géométrie analytique
    IV. Orthogonalité et cocyclicité
    V. Produit scalaire et lignes de niveau
    VI. Compléments
    Exercices

Chapitre five. Trigonométrie et kin métriques dans le triangle
    I. Introduction
    II. Cosinus et sinus (rappels)
    III. Cosinus et produit scalaire ; sinus et déterminant
    IV. Trigonométrie
    V. kin métriques dans le triangle
    VI. Compléments
    Trigonométrie (formulaire récapitulatif)
    Exercices

Chapitre 6. Rotations et isométries fixant un aspect donné
    I. advent (quart de tour)
    II. Rotation de centre O et d’angle α
    III. Rotation : théorèmes de composition et propriétés géométriques
    IV. Isométries fixant un element donné
    V. Compléments
    Exercices

Chapitre 7. Le calcul vectoriel dans l’espace
    I. Introduction
    II. L’espace vectoriel E
    III. Droites et plans : repères et vecteurs directeurs
    IV. Éléments de géométrie analytique dans l’espace
    V. Compléments
    Exercices

Chapitre eight. Le produit scalaire dans l’espace
    I. Introduction
    II. Produit scalaire dans E
    III. purposes géométriques du produit scalaire
    IV. Produit scalaire et géométrie analytique
    V. Compléments
    Exercices

Chapitre nine. l. a. sphère
    I. Introduction
    II. los angeles sphère : définition et premières propriétés
    III. part d’une sphère
    IV. Détermination d’une sphère
    V. Surfaces de révolution
    VI. Compléments
    Exercices

Chapitre 10. Statistiques
    I. Introduction
    II. Les caractéristiques de position
    III. Les caractéristiques de dispersion
    IV. Compléments
    Exercices

Get Relaxation of Elementary Excitations: Proceedings of the PDF

This can be the court cases of the Taniguchi foreign Symposium on "Relaxation of ordinary Excitations" which used to be held October 12-16,1979, at Susono-shi (at the foot of f1t. Fuji) in Japan. The friendly surroundings of the Symposium is evidenced within the photo of the contributors proven at the subsequent web page.

Extra resources for An Introduction to Statistics

Sample text

5 fluid ounces. 3 the routine work of layout and calculation follows the pattern already established and demonstrated above. The importance of the exercise lies in appreciating what are the true class limits in each case. Note The general weakness of students in handling coded data is to distinguish between those items which are in working units and those which are not. The assumed mean will generally be in the original named units; deviations are in working units and this means the fd column. The fd 2 column like (Hd) 2 involves the squares of the working unit.

The purpose of this chapter is to broaden our basis of understanding and to cover the wider range of distributions encountered since that point. When data have to be arranged as a grouped frequency distribution the mode is no longer obvious, although one particular class may stand out as having the greatest frequency. This is the modal class. Similarly the class in which the median occurs is the median class. The objection may be put that there should be more classes and that this would narrow the range in which the mode and median might be found.

On the other hand when approximations· are made to the nearest whole number or to stated degrees of significance it is more likely that errors will occur on either side of a true value. When these balance out to some extent they are called 'compensatory errors' and bias is less likely to occur. Example 59+ 73 + 24 + 85 + 67 = 308 (a) If each is rounded down to the next ten below we have 50+ 70 + 20 + 80 + 60 = 280 (b) And if each is rounded up to the next ten above the sum is 60 + 80 + 30 + 90 + 70 = 330 (c) But if each is corrected to one significant figure then the approximations (errors) are not one-sided or biased as in (b) and (c).

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An Introduction to Statistics by Arthur H. Hall (auth.)


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