Results 51 to 60 of about 5,938,973 (323)
A new Quarter-Sweep Arithmetic Mean (QSAM) method to solve diffusion equations [PDF]
, 2009 The aim of this paper is to introduce the Quarter-Sweep Arithmetic Mean (QSAM) method using the Quarter-Sweep Crank-Nicolson (QSCN) finite difference method for solving one-dimensional diffusion equations.
Mohammad Khatim Hasan +2 more
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Proof without words : arithmetic mean of two means [PDF]
, 2016 We provide a visual proof that the arithmetic mean of two positive numbers is greater or equal than the arithmetic mean of the geometric mean and the root mean square.1251250 ...
Plaza, Ángel
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Optimization of the Production of Rubber Compounds Using Mathematical Models
Advanced Engineering Materials, EarlyView.Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
wiley +1 more source
Optimal inequalities for bounding Toader mean by arithmetic and quadratic means
Journal of Inequalities and Applications, 2017 In this paper, we present the best possible parameters α ( r ) $\alpha(r)$ and β ( r ) $\beta(r)$ such that the double inequality [ α ( r ) A r ( a , b ) + ( 1 − α ( r ) ) Q r ( a , b ) ] 1 / r < T D [ A ( a , b ) , Q ( a , b ) ] < [ β ( r ) A r ( a , b )
Tie-Hong Zhao, Yu-Ming Chu, Wen Zhang
doaj +1 more source
Simple arithmetic processing: The question of automaticity [PDF]
, 2005 In adult simple arithmetic performance, it is commonly held that retrieval of solutions occurs automatically from a network of stored facts in memory.
Coney, J.R., Jackson, N.D.
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley +1 more source
An optimal double inequality among the one-parameter, arithmetic and harmonic means
Journal of Numerical Analysis and Approximation Theory, 2010 For \(p\in\mathbb{R}\), the one-parameter mean \(J_{p}(a,b)\), arithmetic mean \(A(a,b)\), and harmonic mean \(H(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by\begin{equation*}J_{p}(a,b)=\begin{cases}\tfrac{p(a^{p+1}-b^{p+1})}{(p+1)(a^
Wang Miao-Kun, Qiu Ye-Fang, Chu Yu-Ming
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Optimal inequalities related to the logarithmic, identric, arithmetic and harmonic means
Journal of Numerical Analysis and Approximation Theory, 2010 The logarithmic mean \(L(a,b)\), identric mean \(I(a,b)\), arithmeticmean \(A(a,b)\) and harmonic mean \(H(a,b)\) of two positive real values \(a\) and \(b\) are defined by\begin{align*}\label{main}&L(a,b)=\begin{cases}\tfrac{b-a}{\log b-\log a},& a\neq ...
Wei-feng Xia, Chu Yu-Ming
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On the Equality of Bajraktarević Means to Quasi-Arithmetic Means [PDF]
Results in Mathematics, 2019 AbstractThis paper offers a solution of the functional equation$$\begin{aligned}&\big (tf(x)+(1-t)f(y)\big )\varphi (tx+(1-t)y)\\&\quad =tf(x)\varphi (x)+(1-t)f(y)\varphi (y) \qquad (x,y\in I), \end{aligned}$$(tf(x)+(1-t)f(y))φ(tx+(1-t)y)=tf(x)φ(x)+(1-t)f(y)φ(y)(x,y∈I),where$$t\in \,]0,1[\,$$t∈]0,1[,$$\varphi :I\rightarrow \mathbb {R}$$φ:I→Ris ...
Zsolt Páles, Amr Zakaria
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Generalized Abstracted Mean Values [PDF]
, 1998 In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and ...
Qi, Feng
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