exact differential

exact differential
noun Date: 1825 a differential expression of the form X1dx1 +…+ Xndxn where the X's are the partial derivatives of a function f(x1,…, xn) with respect to x1,…, xn respectively

New Collegiate Dictionary. 2001.

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  • Exact differential — In mathematics, a differential dQ is said to be exact , as contrasted with an inexact differential, if the differentiable function Q exists. However, if dQ is arbitrarily chosen, a corresponding Q might not exist. OverviewIn one dimension, a… …   Wikipedia

  • exact differential — noun : a differential expression of the form X1dx1+…+Xndxn, where the X s are the partial derivatives of a function f(x1…xn), with respect to x1… …   Useful english dictionary

  • exact differential — Math. an expression that is the total differential of some function. [1815 25] * * * …   Universalium

  • Exact differential equation — In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics and engineering. Definition Given a simply connected and open subset D of R2 and two …   Wikipedia

  • Closed and exact differential forms — In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form that is the exterior derivative of another …   Wikipedia

  • Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …   Wikipedia

  • exact equation —       type of differential equation that can be solved directly without the use of any of the special techniques in the subject. A first order differential equation (of one variable) is called exact, or an exact differential, if it is the result… …   Universalium

  • Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …   Wikipedia

  • exact — exactable, adj. exacter, exactor, n. exactness, n. /ig zakt /, adj. 1. strictly accurate or correct: an exact likeness; an exact description. 2. precise, as opposed to approximate: the exact sum; the exact date. 3. admitting of no deviation, as… …   Universalium

  • Exact category — In mathematics, an exact category is a concept of category theory due to Daniel Quillen which is designed to encapsulate the properties of short exact sequences in abelian categories without requiring that morphisms actually possess kernels and… …   Wikipedia

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