A note on separation of variables

Yonah Cherniavsky

doi:10.1080/0020739X.2010.519793

A note on separation of variables

Yonah Cherniavsky

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

3 ציטוטים ‏(Scopus)

תקציר

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).

שפה מקורית	אנגלית
עמודים (מ-עד)	129-131
מספר עמודים	3
כתב עת	International Journal of Mathematical Education in Science and Technology
כרך	42
מספר גיליון	1
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1080/0020739X.2010.519793
סטטוס פרסום	פורסם - ינו׳ 2011

גישה למסמך

10.1080/0020739X.2010.519793

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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",

year = "2011",

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doi = "10.1080/0020739X.2010.519793",

language = "אנגלית",

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N2 - 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).

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

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JO - International Journal of Mathematical Education in Science and Technology

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A note on separation of variables

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