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De Morgan's laws represented with Venn diagrams.In each case, the resultant set is the set of all points in any shade of blue. In propositional logic and Boolean algebra, De Morgan's laws, [1] [2] [3] also known as De Morgan's theorem, [4] are a pair of transformation rules that are both valid rules of inference.
Corner quotes, also called “Quine quotes”; for quasi-quotation, i.e. quoting specific context of unspecified (“variable”) expressions; [3] also used for denoting Gödel number; [4] for example “⌜G⌝” denotes the Gödel number of G. (Typographical note: although the quotes appears as a “pair” in unicode (231C and 231D), they ...
To draw the parallel (h) to a diameter g through any given point P. Chose auxiliary point C anywhere on the straight line through B and P outside of BP. (Steiner) In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules.
In mathematics, and especially in algebraic geometry, the intersection number generalizes the intuitive notion of counting the number of times two curves intersect to higher dimensions, multiple (more than 2) curves, and accounting properly for tangency. One needs a definition of intersection number in order to state results like Bézout's theorem
Whether or not D, E, F are collinear, there are three homotheties with centers D, E, F that respectively send B to C, C to A, and A to B. The composition of the three then is an element of the group of homothety-translations that fixes B , so it is a homothety with center B , possibly with ratio 1 (in which case it is the identity).
Turn off the TV and phone. “All screens should be turned off at least one hour before bedtime,” says Dasgupta. “The blue light emitted by screens can interfere with melatonin production ...
An Urn A has 1 black ball and 2 white balls and another Urn B has 1 black ball and 3 white balls. Suppose we pick an urn at random and then select a ball from that urn. Let event A {\displaystyle A} be choosing the first urn, i.e. P ( A ) = P ( A ¯ ) = 1 / 2 {\displaystyle \mathbb {P} (A)=\mathbb {P} ({\overline {A}})=1/2} , where A ...
(Reuters) -Some United Food and Commercial Workers (UFCW) local unions on Friday urged Kroger's board to replace CEO Rodney McMullen following the company's announcement of a $7.5 billion stock ...
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