995 resultados para Mathematics. Trigonometric Functions. Geogebra


Relevância:

30.00% 30.00%

Publicador:

Resumo:

Недю Иванов Попиванов, Алексей Йорданов Николов - През 1952 г. М. Протър формулира нови гранични задачи за вълновото уравнение, които са тримерни аналози на задачите на Дарбу в равнината. Задачите са разгледани в тримерна област, ограничена от две характеристични конуса и равнина. Сега, след като са минали повече от 50 години, е добре известно, че за безброй гладки функции в дясната страна на уравнението тези задачи нямат класически решения, а обобщеното решение има силна степенна особеност във върха на характеристичния конус, която е изолирана и не се разпространява по конуса. Тук ние разглеждаме трета гранична задача за вълновото уравнение с младши членове и дясна страна във формата на тригонометричен полином. Дадена е по-нова от досега известната априорна оценка за максимално възможната особеност на решенията на тази задача. Оказва се, че при по-общото уравнение с младши членове възможната сингулярност е от същия ред като при чисто вълновото уравнение.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

Given an n-ary k-valued function f, gap(f) denotes the essential arity gap of f which is the minimal number of essential variables in f which become fictive when identifying any two distinct essential variables in f. In the present paper we study the properties of the symmetric function with non-trivial arity gap (2 ≤ gap(f)). We prove several results concerning decomposition of the symmetric functions with non-trivial arity gap with its minors or subfunctions. We show that all non-empty sets of essential variables in symmetric functions with non-trivial arity gap are separable. ACM Computing Classification System (1998): G.2.0.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

ACM Computing Classification System (1998): G.1.2.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

In non-linear random effects some attention has been very recently devoted to the analysis ofsuitable transformation of the response variables separately (Taylor 1996) or not (Oberg and Davidian 2000) from the transformations of the covariates and, as far as we know, no investigation has been carried out on the choice of link function in such models. In our study we consider the use of a random effect model when a parameterized family of links (Aranda-Ordaz 1981, Prentice 1996, Pregibon 1980, Stukel 1988 and Czado 1997) is introduced. We point out the advantages and the drawbacks associated with the choice of this data-driven kind of modeling. Difficulties in the interpretation of regression parameters, and therefore in understanding the influence of covariates, as well as problems related to loss of efficiency of estimates and overfitting, are discussed. A case study on radiotherapy usage in breast cancer treatment is discussed.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: 60J80, 60F05

Relevância:

30.00% 30.00%

Publicador:

Resumo:

We investigate the operator associating with a function fєLp2π, 1trigonometric gap system, as well as an operator from a modular space X ρs(ϕ) to the generalized Orlicz sequence space lϕ.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

The deviations of some entire functions of exponential type from real-valued functions and their derivatives are estimated. As approximation metrics we use the Lp-norms and power variations on R. Theorems presented here correspond to the Ganelius and Popov results concerning the one-sided trigonometric approximation of periodic functions (see [4, 5 and 8]). Some related facts were announced in [2, 3, 6 and 7].

Relevância:

30.00% 30.00%

Publicador:

Resumo:

We introduce a modification of the familiar cut function by replacing the linear part in its definition by a polynomial of degree p + 1 obtaining thus a sigmoid function called generalized cut function of degree p + 1 (GCFP). We then study the uniform approximation of the (GCFP) by smooth sigmoid functions such as the logistic and the shifted logistic functions. The limiting case of the interval-valued Heaviside step function is also discussed which imposes the use of Hausdorff metric. Numerical examples are presented using CAS MATHEMATICA.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: 30C25, 30C45.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: Primary 43A22, 43A25.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: Primary: 46B03, 46B26. Secondary: 46E15, 54C35.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: 47A65, 45S78.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: 41A25, 41A36.