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单词 single-valued function
释义

single-valued function


Thesaurus
Noun1.single-valued function - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)single-valued function - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)function, mapping, mathematical function, mapmultinomial, polynomial - a mathematical function that is the sum of a number of termsmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementmathematical relation - a relation between mathematical expressions (such as equality or inequality)expansion - a function expressed as a sum or product of terms; "the expansion of (a+b)^2 is a^2 + 2ab + b^2"inverse function - a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=xKronecker delta - a function of two variables i and j that equals 1 when i=j and equals 0 otherwisemetric, metric function - a function of a topological space that gives, for any two points in the space, a value equal to the distance between themtransformation - (mathematics) a function that changes the position or direction of the axes of a coordinate systemisometry - a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of the cube"operator - (mathematics) a symbol or function representing a mathematical operationcircular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the anglethreshold function - a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwiseexponential, exponential function - a function in which an independent variable appears as an exponent

Single-Valued Function


single-valued function

[¦siŋ·gəl ‚val·yüd ′fəŋk·shən] (mathematics) A function for which exactly one point in the range corresponds to each point in the domain; a function that associates to each value of the independent variable exactly one value of the dependent variable. Also known as one-valued function.

Single-Valued Function

 

a function that maps each value of the independent variable for which it is defined to just one value of the dependent variable—in contrast to a multiple-valued function. For example, f(x) = x2 is a single-valued function, while Single-valued Function is not because to each value of x other than zero there correspond two values of f(x), which differ in sign.

single-valued function


Related to single-valued function: Multivalued function
  • noun

Synonyms for single-valued function

noun (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)

Synonyms

  • function
  • mapping
  • mathematical function
  • map

Related Words

  • multinomial
  • polynomial
  • math
  • mathematics
  • maths
  • mathematical relation
  • expansion
  • inverse function
  • Kronecker delta
  • metric
  • metric function
  • transformation
  • isometry
  • operator
  • circular function
  • trigonometric function
  • threshold function
  • exponential
  • exponential function
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更新时间:2025/1/9 8:59:57