Uniqueness theorems

Ebook "Advanced number theory" presents the following content: Review of elementary number theory and croup theory; characters; some algebraic concepts; basis theorems; further applications of basis theorems; unique factorization and units; unique factorization into ideals; norms and ideal classes; glass structure in quadratic fields; class number formulas and primes in arithmetic progression; quadratic reciprucity; quadratic forms and ideals; compositions, orders, and genera.

283p zizaybay1103 29-05-2024 2 2   Download

Ebook "Help your kids with Math: A unique step-by-step visual guide" concentrates on the math tackled in schools between the ages of 9 and 16. But it does so in a gripping, engaging, and visual way. Its purpose is to teach math by stealth. It presents mathematical ideas, techniques, and procedures so that they are immediately absorbed and understood. It helps parents understand and remember the subject and thus help their children. If parents too gain something in the process, then so much the better.

266p dangsovu 20-10-2023 7 3   Download

Continued part 1, part 2 of ebook "Complex analysis (Third edition)" has presents the following content: further contour integral techniques; introduction to conformal mapping; the riemann mapping theorem; maximum-modulus theorems for unbounded domains; harmonic functions; different forms of analytic functions; analytic continuation; the gamma and zeta functions; applications to other areas of mathematics;...

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In the article "Uniqueness theorems for meromorphic mappings with few hyperplanes", we prove some uniqueness theorems for meromorphic mappings into \({P^n}(C)\) which share few hyperplanes with truncated counting multiplicities without condition on the intersections of the inverse images of these hyperplanes.

14p runordie5 04-07-2022 12 2   Download

The purpose of the article "A uniqueness theorem for meromorphic mappings with a small set of identity" is to show a uniqueness theorem for meromorphic mappings of Cm into CPn with truncated multiplicities and a small set of identity.

10p runordie5 04-07-2022 6 2   Download

The aim of the paper "Uniqueness properties of m-subharmonic functions in Cegrell classes" is to provide sufficient conditions for unicity of m-subharmonic functions. Since two plurisubharmonic functions may equal on an open subset of a domain without being identical (e.g. u ≡ 0 and v(z) = max(log |z|, 0)), it seems natural to put additional assumptions on Hessian measures of u and v to guarantee that u ≡ v on the whole domain Ω.

15p runordie3 27-06-2022 23 2   Download

Advanced Algorithms Analysis and Design - Lecture 40: Chinese remainder theorem & RSA cryptosystem. In this lecture we will cover the following: modular arithmetic; solving modular linear equations; Chinese remainder theorem; unique representation of a number by CRT;...

27p andromedashun 26-05-2022 10 1   Download

Lecture Introduction to Stochastic Processes: Lesson 20 provide students with knowledge about suppose the Markov chain is irreducible and recurrent, unique stationary distribution, consequences of the theorem, positive recurrence and null recurrence are both class properties, symmetric transition probability matrix,...

17p bachnhuocdong 23-12-2021 8 0   Download

Objectives of research: The thesis is to give and prove some uniaueness theorems of the meromorphic functions f(z) on the complex plane which has hyperorder plane less than 1 share a part of the values with its f(z + c).

27p thebadguys 08-06-2021 12 3   Download

In this paper we have investigated a common fixed point for a pair and a sequence of self mappings over a closed subset of Hilbert space satisfying certain contraction inequalities involving rational square expressions as well as some positive powers of the terms. Finally these results are generalized for taking positive integers powers of the self mappings over the spaces which are generalizations of well-known results...

10p nguaconbaynhay11 07-04-2021 13 2   Download

In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.

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In this paper, we study the existence and uniqueness of fuzzy solutions for general hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem. Some examples are presented to illustrate our results.

12p tamynhan8 04-11-2020 22 2   Download

This article investigates existence, uniqueness and stability solutions of new Volterra- Friedholm of integro-differential equations by using both method Picard approximation and Banach fixed point theorem which was introduced by Rama. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Also expand the some results gained by Butris.

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In this article, we prove a uniqueness theorem for algebraically non-degenerate holomorphic curves on annulus sharing hypersurfaces in general position for Veronese embedding.

7p vimessi2711 02-04-2019 19 0   Download

In this paper, we mainly investigate the uniqueness problem on meromorphic functions in Cm sharing small functions with their difference operators or shifts, and we obtain some interesting results that act as some extensions of previous results from one complex variable to several complex variables.

25p nutifooddau 21-01-2019 22 1   Download

An extension of Nevanlinna value distribution theory for algebroid functions on annuli is proposed. The main characteristics are one-parameter and possess the same properties as in the classical case. Analogs of the Cartan theorem, the first fundamental theorem, the second fundamental theorem, deficient values, and the uniqueness of algebroid functions on annuli are proved.

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In this paper, we study a class of nonlinear switched systems of fractional order with p-Laplacian operator. By applying a fixed point theorem for a concave operator on a cone, we obtain the existence and uniqueness of a positive solution for an integral boundary value problem with switched nonlinearity under some suitable assumptions.

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In this paper, we investigate the existence and uniqueness of a piecewise asymptotically almost periodic mild solution to nonautonomous neutral Volterra integro-differential equations with impulsive effects in Banach space. The working tools are based on the Krasnoselskii’s fixed point theorem and semigroup theory.

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In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.

5p danhdanh27 07-01-2019 20 1   Download

In this note, we improve upon Cauchy’s classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial. Be a polynomial of degree n, with complex coefficients. Then, according to Cauchy’s classical result, we have the following theorem.

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