نتایج جستجو برای Mathematical analysis

تعداد نتایج: 1785644  

2016

Mathematical Analysis Most of the mathematical analysis was computed using Mathematica (Wolfram Inc.) and MATLAB (Mathworks Inc.). The value of P(k) is defined as the probability a random node from the network is of degree k: P k = n! n where n! is the number of nodes in the network of degree k and n is the total number of nodes in the network. The function, P k , is referred to as the degree d...

2005
WALTER RUDIN, Erin P. J. Pearse, Walter Rudin,

3. (a) If F is as in Theorem 10.7, put A = F′(0), F1(x) = A −1F(x). Then F1(0) = I. Show that F1(x) = Gn◦Gn−1◦. . .◦G1(x) in some neighbourhood of 0, for certain primitive mappings G1, . . . ,Gn. This gives another version of Theorem 10.7: F(x) = F(0)Gn◦Gn−1◦. . .◦G1(x). (b) Prove that the mapping (x, y) 7→ (y, x) of R onto R is not the composition of any two primitive mappings, in any neighbou...

Journal: :CoRR 2016
David Ryan,

Musical chords, harmonies or melodies in Just Intonation have note frequencies which are described by a base frequency multiplied by rational numbers. For any local section, these notes can be converted to some base frequency multiplied by whole positive numbers. The structure of the chord can be analysed mathematically by finding functions which are unchanged upon chord transposition. These fu...

‎Mathematical models are the most important tools in epidemiology to understand previous outbreaks of diseases and to better understand the dynamics of how infections spread through populations‎. ‎Many existing models closely approximate historical disease patterns‎. ‎This article investigates the mathematical model of the deadly disease with severe and uncontrollable bleeding‎, ‎Ebola which is...

In this paper, we have analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations. We gain some conditions for global stability of trivial and interior equilibrium point.

On the basis of the continuity equation and the Bernoulli equation in the steady form, a differential equation is developed to evaluate the successive water levels within compartments of an upright perforated wave absorber. Then the initial and boundary conditions are introduced and the differential equation is solved as an initial value problem. Finally the reflection coefficient from the wave...

Journal: :Polibits 2011
Keisuke Yokoi, Minh-Quoc Nghiem, Yuichiroh Matsubayashi, Akiko Aizawa,

We found a way to use mathematical search to provide better navigation for reading papers on computers. Since the superficial information of mathematical expressions is ambiguous, considering not only mathematical expressions but also the texts around them is necessary. We present how to extract a natural language description, such as variable names or function definitions that refer to mathema...

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