entire functionszeros of polynomialsLaguerre theoremsWe prove some results generalizing the classical Laguerre theorems about the multiplicity and the number of zeros of the function $$\\sum\\limits_{n = 0}^\\infty {\\varphi (n)\\frac{{f^{(n)} (0)}}{{n!}}}......
(1983). Stable limits for partial sums of dependent random variables. Annals of Probability, 11(2), 262–269. Article MathSciNet MATH Google Scholar Davis, R. A., & Hsing, T. (1995). Point process and partial sum convergence for weakly dependent random variables with infinite variance....
The frequently asked questions on two general theorems on indefinite integrals are given below:Q.1. What is a general indefinite integral?Ans: An indefinite integral has no endpoints and just asks us to determine the integrand’s general antiderivative. Because it is a family of functions that ...
An important property of is that it is freely generated under sifted colimits by the full subcategory of finite sets. We now define two functors and from to . The functor sends a finite set to the exact -linear actions of on , which is equivalent to the exact -linear monoidal functors ...
Theorems on probability: The probability of the event is the chance of its occurrence. Theorems of probability tell the rules and conditions related to the addition, multiplication of two or more events. Probability density functions are statistical measures that are used to predict the likely ...
A function f(x) is continuous at a point x0 if its left and right limits at that point exist and are equal. If f(x) and g(x) are two continuous functions at x=a, then the function f(x)g(x) is continuous everywhere save at points such tha...
Limit behaviour of sums of independent random variables with respect to the uniform p-adic distribution We investigate (as usual) limit behaviour of sums S n( ω) of independent equally distributed random variables. However, limits of probabilities are studie......
This note contains extensions of the Abelian ergodic theorems in [3] and [6] to functions which take their values in a Banach space. The results are based on an adaptation of Rota's maximal ergodic theorem for Abel limits [8]. Convergence theorems for continuous parameter semigroups are ded...
Limits Using a Graph to Define Limits 5:24 min Understanding Limits: Using Notation 3:43 min One-Sided Limits and Continuity 4:33 min Limit of a Function | Definition, Rules & Examples 5:15 min Properties of Limits | Overview, Functions & Examples 4:29 min Squeeze Theorem | Definition, ...
Gödel's incompleteness theoremsare two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are wi...