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In mathematics, the Jacobi identity is a property of a binary operation that describes how the order of evaluation, the placement of parentheses in a multiple product, affects the result of the operation.
Friedrich Heinrich Jacobi (German:; 25 January 1743 – 10 March 1819) was a German philosopher, writer and socialite.He is best known for popularizing the concept of nihilism.
In mathematics, the Jacobian conjecture is a famous unsolved problem concerning polynomials in several variables.It states that if a polynomial function from an n-dimensional space to itself has Jacobian determinant which is a non-zero constant, then the function has a polynomial inverse.
In vector calculus, the Jacobian matrix (/ dʒ ə ˈ k oʊ b i ə n /, [1] [2] [3] / dʒ ɪ-, j ɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.
Michael Schrage, [7] an advisor to the Massachusetts Institute of Technology's (MIT) Security Studies Program, wrote in a Washington Post editorial that requiring analysts to produce and include quantitative measures of source reliability and confidence along with their findings would reduce ambiguity. [8]
“Confidence — it is probably the most important resource in human well-being and human performance, I believe,” neuroscientist and psychologist Ian Robertson told CNN Chief Medical ...
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Showing that () = (the polynomial of x of is 1) is technical.One way is to set = and show both the numerator and the denominator of = = = (+ ())are weight 1/2 modular under , since they are also 1-periodic and bounded on the upper half plane the quotient has to be constant so that () = =.