Definitions for implicit function
im·plic·it func·tion

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1. implicit functionnoun

   Any function that is not formulated in a way that the value may be directly calculated from the independent variable

WikipediaRate this definition:0.0 / 0 votes

1. Implicit function

   In mathematics, an implicit equation is a relation of the form R ( x 1 , … , x n ) = 0 , {\displaystyle R(x_{1},\dots ,x_{n})=0,} where R is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is x 2 + y 2 − 1 = 0. {\displaystyle x^{2}+y^{2}-1=0.} An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments.: 204–206  For example, the equation x 2 + y 2 − 1 = 0 {\displaystyle x^{2}+y^{2}-1=0} of the unit circle defines y as an implicit function of x if −1 ≤ x ≤ 1, and y is restricted to nonnegative values. The implicit function theorem provides conditions under which some kinds of implicit equations define implicit functions, namely those that are obtained by equating to zero multivariable functions that are continuously differentiable.

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1. Implicit function

   In mathematics, an implicit equation is a relation of the form R = 0, where R is a function of several variables. The set of the values of the variables that satisfy this relation is a curve if n = 2 and a surface if n=3. The terms implicit curve and implicit surface are usual to denote curves and surfaces defined in this way. The implicit equations are the basis of algebraic geometry, whose basic subjects of study are the simultaneous solutions of several implicit equations whose left-hand sides are polynomials. These sets of simultaneous solutions are called affine algebraic sets. For example, the implicit equation of the unit circle is An implicit function is a function that is defined implicitly by an implicit equation, by associating one of the variables to the others. For most implicit functions, there is no formula which define them explicitly. Even when such a formula may exist, one must often restrict the domain of definition and the target to have a well defined function. For the example, the implicit equation of the unit circle defines y as a function of x only, if -1 ≤ x ≤ 1 and one considers only non-negative values for the values of the function.

How to pronounce implicit function?

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Numerology

1. Chaldean Numerology

   The numerical value of implicit function in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of implicit function in Pythagorean Numerology is: 4

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Implicit_Function
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Implicit_Function
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=implicit function