EXPLICIT FUNCTION Meaning and
Definition
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An explicit function refers to a type of mathematical function where the dependent variable is defined explicitly in terms of the independent variable. In other words, an explicit function represents a relationship between two variables in a straightforward, direct manner. The dependent variable is expressed explicitly as an algebraic expression or formula, which allows for a clear and unambiguous representation of the relationship between the variables.
Explicit functions are typically represented in the form f(x) = y or y = f(x), where f(x) denotes the explicit formula defining the dependent variable y in terms of the independent variable x. This explicit representation makes it easy to evaluate the function at any given value of x and determine the corresponding value of y.
Explicit functions provide a clear understanding of the relationship between variables by directly showing how one variable changes with respect to the other. They are often used in various branches of mathematics, physics, engineering, and other scientific disciplines to model and analyze real-world phenomena, as well as to solve mathematical problems.
Compared to implicit functions, explicit functions are more straightforward to work with as they explicitly express the relationship between variables. However, not all functions can be expressed explicitly, and in such cases, implicit functions or other mathematical techniques may be used to describe the relationship between variables.
Common Misspellings for EXPLICIT FUNCTION
- wxplicit function
- sxplicit function
- dxplicit function
- rxplicit function
- 4xplicit function
- 3xplicit function
- ezplicit function
- ecplicit function
- edplicit function
- esplicit function
- exolicit function
- exllicit function
- ex0licit function
- expkicit function
- exppicit function
- expoicit function
- explucit function
- expljcit function
- explkcit function
- explocit function
Etymology of EXPLICIT FUNCTION
The word "explicit" originates from the Latin word "explicitus", which means "unfolded" or "revealed". It comes from the verb "explicare", which means "to unfold" or "to explain". The term "explicit" is used to describe something that is stated clearly and in detail, openly expressed, or leaving no room for doubt or ambiguity.
In mathematics, an "explicit function" refers to a type of mathematical function that is defined or expressed directly in terms of its independent variables. It provides a clear and specific relationship between the input values and the corresponding output values. The term "explicit" is used in contrast to "implicit", where the function is defined implicitly using an equation or a relation.
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