Definition of Partial differentiation. Meaning of Partial differentiation. Synonyms of Partial differentiation

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Definition of Partial differentiation

Partial differentiation
Partial Par"tial, a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See Part, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a partial eclipse of the moon. ``Partial dissolutions of the earth.' --T. Burnet. 2. Inclined to favor one party in a cause, or one side of a question, more then the other; baised; not indifferent; as, a judge should not be partial. Ye have been partial in the law. --Mal. ii. 9. 3. Having a predelection for; inclined to favor unreasonably; foolishly fond. ``A partial parent.' --Pope. Not partial to an ostentatious display. --Sir W. Scott. 4. (Bot.) Pertaining to a subordinate portion; as, a compound umbel is made up of a several partial umbels; a leaflet is often supported by a partial petiole. Partial differentials, Partial differential coefficients, Partial differentiation, etc. (of a function of two or more variables), the differentials, differential coefficients, differentiation etc., of the function, upon the hypothesis that some of the variables are for the time constant. Partial fractions (Alg.), fractions whose sum equals a given fraction. Partial tones (Music), the simple tones which in combination form an ordinary tone; the overtones, or harmonics, which, blending with a fundamental tone, cause its special quality of sound, or timbre, or tone color. See, also, Tone.

Meaning of Partial differentiation from wikipedia

- successive differentiation There is a concept for partial derivatives that is analogous to antiderivatives for regular derivatives. Given a partial derivative...
- differentiation (auto-differentiation, autodiff, or AD), also called algorithmic differentiation, com****tional differentiation, and differentiation arithmetic...
- one to specify the variable for differentiation (in the denominator). This is especially helpful when considering partial derivatives. It also makes the...
- derivative and an integral (differentiation under the integral sign; i.e., Leibniz integral rule); the change of order of partial derivatives; the change...
- \phi \,} , covariant differentiation is simply partial differentiation: ϕ ; a ≡ ∂ a ϕ {\displaystyle \phi _{;a}\equiv \partial _{a}\phi } For a contravariant...
- of an implicit function for which implicit differentiation is easier than using explicit differentiation is the function y(x) defined by the equation...
- process of finding a derivative is called differentiation. There are multiple different notations for differentiation, two of the most commonly used being...
- {\partial u}{\partial r}}={\frac {\partial u}{\partial x}}{\frac {\partial x}{\partial r}}+{\frac {\partial u}{\partial y}}{\frac {\partial y}{\partial...
- This article is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus. Unless otherwise stated, all...
- planetary differentiation is mediated by partial melting with heat from radioactive isotope decay and planetary accretion. Planetary differentiation has occurred...