Zima, Integral representation and algorithms for closed form summation, in: Handb. Algebr., vol. 5, Elsevier/North-Holland, Amsterdam, 2008, pp. 459-529.G. P. Egorychev and E. V. Zima. Integral representation and algorithms for closed form summation. Handbook of Algebra, vol. 5, (ed....
Suppose we have an infinite series of the form ∑n=1n=∞an If there exists a continuous function f(x) such that ∀n∈Nf(n)=an, then we can apply the integral test as follows: The series converges if and only if the following integral converges: ...
We study the nonhomogeneous heat equation under the form utuxx=φ(t)f(x), where the unknown is the pair of functions (u,f). Under various assumptions about... TL Nguyen,ND Tran - 《Nonlinear Analysis》 被引量: 74发表: 1997年 Low-spin high-spin equilibria in 1T-Fe_ {x} ...
point slope formula 点斜式 Poisson integral formula 【数】泊松积分公式 Poisson's summation formula 泊松求和公 …dict.yqie.com|基于7个网页 2. 柏松积分公式 数学中英索引 ... point-slope form 点斜式 Poisson integral formula 柏松积分公式 polar axis 极轴 ... 203.64.184.213|基于1 个网页...
is a relation of the form ϕ(x, y1, …,yn) =C whereCis an arbitrary constant. The left side of the relation remains constant when any solutiony1=y1(x), …,yn=yn(x) of the system is substituted but is not a fixed constant. Geometrically, the first integral is a family of hypers...
F.O. Mamekonyan, Estimation for solutions of certain class of nonlinear integral inequalities in several variables. Izv. Akad. Nauk Armjan. SSR XXII, 133–151 (1987), (in Russian) Google Scholar B. Mandelbrot, Fractals: Form, Chance and Dimension (Freeman, San Francisco, 1977) MATH Google...
The concepts of integral convergence and divergence are extended to the study of mathematical series, in the form of the integral test for convergence. Recall that a series is a summation, and mathematical series, written as ∑nif(n). This summation can be rewritten as an integral, ∫nif(x...
The input image from the dataset is transformed into an integral image, implying the summation of pixel values in a recognized rectangular piece of image. The summation of the pixel at a location (x, y) is computed as (14.1)ii(x,y)=∑x′⩽x,y′⩽yi(x′,y′) where (x, y) is...
A Generalization of Baskakov Operators of Summation-Integral-Phillips Type Form In this paper, we introduce and study a generalization form of the summation-integralPhillips Baskakov type operators. We prove that the operators are converge to the function being approximated. Also, we discuss a Voronov...
Computational models that reproduce and predict the detailed behaviours of cellular systems form the Holy Grail of systems biology. They require decades of work to integrate mathematical-modelling efforts, data on molecular-interaction networks and information on the physics of cellular structures. The ch...