Results 101 to 110 of about 1,900,675 (267)

Visualization techniques for proofs: Implications for enhancing conceptualization and understanding in mathematical analysis

Journal of Honai Math
Visual images are frequently utilized to elucidate concepts in general mathematics and geometry; however, their application in mathematical analysis remains uncommon. This paper demonstrates how visual imagery can enhance the proof of certain theorems in
Jonatan Muzangwa, Ugorji Ogbonnaya
doaj   +1 more source

The Expected Number of Real Roots of a Multihomogeneous System of Polynomial Equations

, 1998
Theorem 1 is a formula expressing the mean number of real roots of a random multihomogeneous system of polynomial equations as a multiple of the mean absolute value of the determinant of a random matrix.
McLennan, Andrew
core   +6 more sources

A local mean value theorem for the complex plane [PDF]

, 1969
Jack M. Robertson
openalex   +1 more source

Mean value theorems and a Taylor theorem for vector valued functions [PDF]

, 1981
Rudolf Výborný
openalex   +1 more source

A robust collocation method for time fractional PDEs based on mean value theorem and cubic B-splines

Partial Differential Equations in Applied Mathematics
This paper explains and applies a numerical technique utilizing the cubic B-spline functions and the mean value theorem (MVT) to solve a general time fractional partial differential equation (FPDE).
Adel R. Hadhoud, Fatma M. Gaafar, Faisal E. Abd Alaal, Ayman A. Abdelaziz, Salah Boulaaras, Taha Radwan   +5 more
doaj   +1 more source

Applications of the Quantile-Based Probabilistic Mean Value Theorem to Distorted Distributions [PDF]

, 2018
Antonio Di Crescenzo, Barbara Martinucci, Julio Mulero   +2 more
openalex   +1 more source

Mean Value Theorems via Spectral Synthesis

Journal of Mathematical Analysis and Applications, 1995
Let \(v_1, v_2, \dots, v_n\) \((n\geq 2)\) be the vertices of some fixed regular simplex in \(\mathbb{R}^n\) with centre 0 and radius 1. Then the vertices of any regular simplex in \(\mathbb{R}^n\) with centre \(x\) and radius \(r>0\) are \(x+ rU v_0, x+rU v_1, \dots, x+rU v_n\) where \(U\) denotes an appropriately chosen orthogonal \(n\times n ...
openaire   +2 more sources

Refinements of Young’s Integral Inequality via Fundamental Inequalities and Mean Value Theorems for Derivatives1

, 2020
Feng Qi, Wen Hui Li, Guo‐Sheng Wu, Bai‐Ni Guo   +3 more
openalex   +2 more sources

On Vinogradov's mean value theorem. II.

Michigan Mathematical Journal, 1993
Let \(J_{s,k} (P)\) denote the number of solutions of \(\sum^ s_{i = 1} (x^ j_ i-y^ j_ i) = 0\) \((1 \leq j \leq k)\) with \(1 \leq x_ i, y_ i \leq P\). Bounds of the form \[ J_{rk,k} (P) \leq D (k,r)P^{2rk-{1 \over 2} k(k + 1) + {1 \over 2} k^ 2(1 - 1/k)^ r} \tag{*} \] are of importance in both additive and multiplicative number theory, and are known ...
openaire   +3 more sources

Extended Generalized Mean Value Theorem for Functions of One Variable

, 2014
P. Mafuta
openalex   +1 more source