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A vector whose elements are complex numbers.
Given a quadratic form Q(x,y)=x^2+y^2, (1) then Q(x,y)Q(x^',y^')=Q(xx^'-yy^',x^'y+xy^'), (2) since (x^2+y^2)(x^('2)+y^('2)) = (xx^'-yy^')^2+(xy^'+x^'y)^2 (3) = ...
Computer algebra is a diffuse branch of mathematics done with computers that encompasses both computational algebra and analysis.
K=-e^2, where e is the eccentricity of a conic section.
If the consistency of one of two propositions implies the consistency of the other, the first is said to have greater consistency strength.
No A is not-A.
An immediate consequence of a result already proved. Corollaries usually state more complicated theorems in a language simpler to use and apply.
x^(2n)+1=[x^2-2xcos(pi/(2n))+1] ×[x^2-2xcos((3pi)/(2n))+1]×...× ×[x^2-2xcos(((2n-1)pi)/(2n))+1].
If r experiments are performed with n_i possible outcomes for each experiment i=1,2,...,r, then there are a total of product_(i=1)^(r)n_i possible outcomes.
If X and Y are independent variates and X+Y is a normal distribution, then both X and Y must have normal distributions. This was proved by Cramér in 1936.
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