单词 | single-valued function |
释义 | single-valued function (once / 3939771 pages) n WORD FAMILY single-valued function n (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) Syn|Hypo|Hyper function, map, mapping, mathematical function multinomial, polynomial a mathematical function that is the sum of a number of terms expansiona function expressed as a sum or product of terms inverse functiona 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)=x Kronecker deltaa function of two variables i and j that equals 1 when i=j and equals 0 otherwise metric, metric functiona function of a topological space that gives, for any two points in the space, a value equal to the distance between them transformation(mathematics) a function that changes the position or direction of the axes of a coordinate system isometrya one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points operator(mathematics) a symbol or function representing a mathematical operation circular function, trigonometric functionfunction of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle threshold functiona function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise exponential, exponential functiona function in which an independent variable appears as an exponent biquadratic, biquadratic polynomial, quartic polynomiala polynomial of the fourth degree homogeneous polynomiala polynomial consisting of terms all of the same degree monic polynomiala polynomial in one variable quadratic, quadratic polynomiala polynomial of the second degree series(mathematics) the sum of a finite or infinite sequence of expressions reflection(mathematics) a transformation in which the direction of one axis is reversed rotation(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin translation(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same affine transformation(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis linear operatoran operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions) identity, identity element, identity operatoran operator that leaves unchanged the element on which it operates sin, sineratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle arc sine, arcsin, arcsine, inverse sinethe inverse function of the sine; the angle that has a sine equal to a given number cos, cosineratio of the adjacent side to the hypotenuse of a right-angled triangle arc cosine, arccos, arccosine, inverse cosinethe inverse function of the cosine; the angle that has a cosine equal to a given number tan, tangentratio of the opposite to the adjacent side of a right-angled triangle arc tangent, arctan, arctangent, inverse tangentthe inverse function of the tangent; the angle that has a tangent equal to a given number cotan, cotangentratio of the adjacent to the opposite side of a right-angled triangle arc cotangent, arccotangent, inverse cotangentthe inverse function of the cotangent; the angle that has a cotangent equal to a given number sec, secantratio of the hypotenuse to the adjacent side of a right-angled triangle arc secant, arcsec, arcsecant, inverse secantthe inverse function of the secant; the angle that has a secant equal to a given number cosec, cosecantratio of the hypotenuse to the opposite side of a right-angled triangle arc cosecant, arccosecant, inverse cosecantthe angle that has a cosecant equal to a given number mathematical relation a relation between mathematical expressions (such as equality or inequality) |
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