implicit function
Word Rarity
Rare
Frequency: Zipf frequency 3.43 in modern English
27
Scrabble Score
16
Letters
5
Syllables
10
Unique Chars
Meaning
noun
A function defined by a (multivariable) implicit equation when one of the variables is regarded as the value of the function, especially where said equation is such that the value is not directly calculable from the other variables.
Example Sentences
- "An important class of implicit functions comprises those defined by equations of the form x-f(y)#61;0. Choosing y as the value means that the implicit function is the inverse of f. This type of implicit function is of particular interest when that inverse is not expressible as a closed-form expression, and thus is difficult to study directly."
- "Thus, in the equation, #92;quad#92;quad#92;quaday²#43;bxy#43;cx²#43;d#61;0; y is an implicit function of x. Implicit functions are generally connected with their variables by one or more equations. When these equations are solved the implicit equation becomes explicit. […]The differential of an implicit function may be found without first finding the function itself."
- "The process of evaluating the derivatives in the case of implicit functions is exemplified below."
- "In this section we discuss the analysis of implicit functions for addressing questions like this."
Inflected Forms
Phrases
explicit function
implicit curve
implicit equation
implicit differentiation
implicit function theorem
algebraic function
functional equation
Frequently Paired Words
explicit function
implicit curve
implicit equation
implicit differentiation
implicit function theorem
algebraic function
functional equation