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The natural domain of a function is the maximal chain of domains on which it can be analytically continued to a single-valued function.
The variation of a function which exhibits slope changes, also called the saltus of a function. A series may also oscillate, causing it not to converge.
There exist a variety of formulas for either producing the nth prime as a function of n or taking on only prime values. However, all such formulas require either extremely ...
The term "over" is commonly used in mathematical exposition as a synonym for "in the domain of." So, for example, "Let f be a function over the reals" means "Let f be a ...
The function K_n(x_0,x)=K_n(x,x_0)^_=K_n(x^_,x^__0) which is useful in the study of many polynomials.
A function used to study ordinary differential equations.
A smooth manifold with a Poisson bracket defined on its function space.
The set closure of the set of arguments of a function f for which f is not zero.
Consider a countable subgroup H with elements h_i and an element x not in H, then h_ix for i=1, 2, ... constitute the right coset of the subgroup H with respect to x.
A distribution which arises in the study of integer spin particles in physics, P(k)=(k^s)/(e^(k-mu)-1). (1) Its integral is given by int_0^infty(k^sdk)/(e^(k-mu)-1) = ...
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