منابع مشابه
Supplementary Mathematical Analysis
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...
متن کاملPrinciples of Mathematical Analysis
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...
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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...
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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...
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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.
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ژورنال
عنوان ژورنال: Nature
سال: 1965
ISSN: 0028-0836,1476-4687
DOI: 10.1038/205940b0