A note on separation of variables

Yonah Cherniavsky

doi:10.1080/0020739X.2010.519793

A note on separation of variables

Yonah Cherniavsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We write down very simple, necessary and sufficient conditions for the additive and multiplicative separability of variables: v(x₁, x₂,...,x_n)=g₁(x₁)+g₂(x₂) +...+ gn(xn) or u(x₁, x₂,...,x_n)=f₁(x₁)f₂(x₂) fn(xn).

Original language	English
Pages (from-to)	129-131
Number of pages	3
Journal	International Journal of Mathematical Education in Science and Technology
Volume	42
Issue number	1
DOIs	https://doi.org/10.1080/0020739X.2010.519793
State	Published - Jan 2011

Keywords

Differential equation
Function of many variables
Separability

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10.1080/0020739X.2010.519793

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title = "A note on separation of variables",

abstract = "We write down very simple, necessary and sufficient conditions for the additive and multiplicative separability of variables: v(x1, x2,...,xn)=g1(x1)+g2(x2) +...+ gn(xn) or u(x1, x2,...,xn)=f1(x1)f2(x2) fn(xn).",

keywords = "Differential equation, Function of many variables, Separability",

author = "Yonah Cherniavsky",

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AB - We write down very simple, necessary and sufficient conditions for the additive and multiplicative separability of variables: v(x1, x2,...,xn)=g1(x1)+g2(x2) +...+ gn(xn) or u(x1, x2,...,xn)=f1(x1)f2(x2) fn(xn).

KW - Differential equation

KW - Function of many variables

KW - Separability

UR - https://www.scopus.com/pages/publications/78650278081

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AN - SCOPUS:78650278081

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JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

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ER -

A note on separation of variables

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Keywords

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