The Cauchy-Riemann equations in anticomuting variables
Hrubý, J.
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Displaying similar documents to “Why extended numbers in supersymmetry”
The Cauchy-Riemann equations in anticomuting variables
Some remarks on a problem of C. Alsina.
J. Matkowski, M. Sablik (1986)
Stochastica
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Equation [1] f(x+y) + f (f(x)+f(y)) = f (f(x+f(y)) + f(f(x)+y)) has been proposed by C. Alsina in the class of continuous and decreasing involutions of (0,+∞). General solution of [1] is not known yet. Nevertheless we give solutions of the following equations which may be derived from [1]: [2] f(x+1) + f (f(x)+1) = 1, [3] f(2x) + f(2f(x)) = f(2f(x + f(x))). Equation [3] leads to a Cauchy functional equation: ...
Horizontal lift of tensor fields of type (1,1) from a manifold to its tangent bundle of higher order
Gancarzewicz, Jacek, Mahi, Salima, Rahmani, Noureddine
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Generalized normal distributions.
Robert M. Tardiff (1980)
Stochastica
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It is well known (see [2], p. 158) that if X and Y are independent random variables with a continuous joint probability density function (pdf) which is spherically symmetric about the origin, then both X and Y are normally distributed. In this note we examine the condition that the joint pdf be spherically symmetric about the origin and show that the normal distribution is strongly dependent on the choice of metric for R.