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In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...
The term "Venn diagram" was later used by Clarence Irving Lewis in 1918, in his book A Survey of Symbolic Logic. In the 20th century, Venn diagrams were further developed. David Wilson Henderson showed, in 1963, that the existence of an n-Venn diagram with n-fold rotational symmetry implied that n was a prime number.
A Young diagram or Young tableau, also called Ferrers diagram, is a finite collection of boxes, or cells, arranged in left-justified rows, with the row sizes weakly decreasing (each row has the same or shorter length than its predecessor). Young diagram. Listing the number of boxes in each row gives a partition of a positive integer n, the ...
The conditional mutual informations , and are represented by the yellow, cyan, and magenta regions, respectively. In probability theory, particularly information theory, the conditional mutual information [1] [2] is, in its most basic form, the expected value of the mutual information of two random variables given the value of a third.
Logical biconditional. In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement " if and only if " (often abbreviated as " iff " [1] ), where is known as the antecedent, and the ...
In set theory the Venn diagrams tell, that there is an element in every red, and there is no element in any black intersection. Negations of the relations in the matrix on the right. In the Venn diagrams the negation exchanges black and red. In set theory the Venn diagrams tell, that there is an element in one of the red intersections.
File:Venn Diagram for bioMEMS, LOC, and MTAS.svg. Size of this PNG preview of this SVG file: 452 × 381 pixels. Other resolutions: 285 × 240 pixels | 570 × 480 pixels | 911 × 768 pixels | 1,215 × 1,024 pixels | 2,430 × 2,048 pixels. Original file (SVG file, nominally 452 × 381 pixels, file size: 83 KB) Wikimedia Commons Commons is a ...
An information diagram is a type of Venn diagram used in information theory to illustrate relationships among Shannon's basic measures of information: entropy, joint entropy, conditional entropy and mutual information. [1] [2] Information diagrams are a useful pedagogical tool for teaching and learning about these basic measures of information.