Notion de distance

Notes on Metric Spaces - Northwestern University

the usual notion of distance, but rather the \distance" as determined by the metric Again, to emphasize, we think of this as a \distance" since it satis es the same sorts of conditions (the ones given in the de nition of a metric) that the usual notion of distance does Example 4 Let Xbe any set, and de ne the function d: X XR by d(x;y) = (1

DISTANCES BETWEEN PROBABILITY DISTRIBUTIONS OF DIFFERENT

The general de nition is due to Villani [64] but the notion has a long history involving the works Fr echet [19], Kantorovich [32], L evy [38], Wasserstein [63], and many others As we mentioned

Lecture 1: Basic problems of coding theory

De nition 1 (Hamming distance) The Hamming distance between x;y2f0;1gnis de ned as the number of coordinates in which xand ydi er We shall denote the Hamming distance between x and yby ( x;y) A related notion is that of Hamming weight: De nition 2 (Hamming weight) For x2f0;1gn, the Hamming weight of x, denoted by wt(x) or

Distance covariance in metric spaces

statistic is based on a new notion called “distance covariance” or “distance corre-lation ” The paper by Székely and Rizzo (2009) introduced another new notion, “Brownian covariance,” and showed it to be the same as distance covariance That paper also gave more examples of its use This latter paper elicited such interest

Comment animer et coordonner une équipe à distance

Cependant dans ce management d’équipe tout change lorsque s’invite la notion de distance 1 2 Impact de la distance Contrairement au management local, le management à distance consiste à animer et à coordonner une équipe dont les membres sont éparpillés dans le monde et jouissent d’une certaine autonomie dans la réalisation de

Metric Spaces - UC Davis Mathematics

distance function Most of the spaces that arise in analysis are vector, or linear, spaces, and the metrics on them are usually derived from a norm, which gives the “length” of a vector De nition 7 11 A normed vector space (X,∥ · ∥) is a vector space X (which we assume to be real) together with a function ∥·∥: X → R, called a

La notion de magnitude version 1

Module de distance 2 5 (2) 2 1 L L m −m =− Log Magnitude absolue àLa magnitude dépend de la distance àPour10pc=>magnitudeMestdite 1 Pour 10pc => magnitude M est dite absolue àm-M=5Log(d)-5 module de distance d distancedel’étoile enparsecd= distance de l’étoile en parsec m−M =5Log(d)−5 14

Lecture 2 1 Distances between probability measures

Aug 29, 2007 · The total variation distance between two probability measures and on R is de ned as TV( ; ) := sup A2B j (A) (A)j: Here D= f1 A: A2Bg: Note that this ranges in [0;1] Clearly, the total variation distance is not restricted to the probability measures on the real line, and can be de ned on arbitrary spaces 1 2 Wasserstein distance

Les mesures de longueur en CM2

Notion de comparaison - Lever les implicites culturels - Comparaison des langues - Structurer le lexique - Étape 3 : exprimer une mesure de distance

CHAPITRE 9 INTERACTIONS FONDAMENTALES ET NOTION DE CHAMP

NOTION DE CHAMP EXERCICES Wulfran Fortin Liste des exercices 1 Exercice 1 sés ponctuels éloignés de la distance d = 2 32 106 nm ont une masse mp = 1 67 1027 kg

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