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词汇 differentiable
释义

Definition of differentiable in English:

differentiable

adjective ˌdɪfəˈrɛnʃɪəb(ə)lˌdifəˈrenSHəbəl
  • Able to be differentiated.

    可区别的

    Example sentencesExamples
    • In contrast to many earlier applications of transition functions, the present analysis uses a functional representation of the transition that is smooth, continuous, and differentiable in both directions.
    • It was predicted that altruists and non-altruists would still be differentiable to perceivers with respect to helpfulness.
    • We assume, like we did in the previous model, that the fitness functions are differentiable at the fixation points.
    • And songs are more clearly differentiable, making their market more efficient.
    • Gangsta rap is differentiable from other rap music in that gangsta rap makes use of images of urban life that are often associated with crime.
    • It is also remarkable that he gave a function which is nowhere differentiable yet everywhere continuous.
    • This transgenerational guidance is one of the reasons that suitable reservoirs are differentiable from another type of ‘magical’ thing used by the child at an earlier age: the transitional object.
    • In that the transition function is smooth and continuously differentiable, standard nonlinear estimation techniques are also applicable.
    • Since most functions defined by simple algebraic expressions are differentiable, on a sufficiently fine scale the points will appear to fall on a straight line.
    • Thus, the characteristics of isotropic spreading are easily differentiable from those associated with anisotropic spreading both by edge dynamics and the overall characteristics of the cell.
    • We may ask that the function be differentiable on one-dimensional subspaces; here one is led to the theory of the Gâteaux differential.
    • So we lack an adequate understanding of the ‘lesbian market’; or their differentiable consumer behavior.
    • Firstly, the man getting married should be differentiable from the groomsmen, as the latter should be wearing different styles.
    • They do not see most gays as having an economic life at all, much less an economic life that is differentiable from that of most heterosexuals.
    • This is not to say that there are not differentiable affective constructs.
    • In this paper he constructed a function which is analytic on the unit disk, is infinitely differentiable on the closed disk, but has no analytic continuation outside the disk.
    • Conventional economic theory follows a mathematical paradigm pioneered by classical physics, embodying smooth, differentiable functions, and dominant equilibria.
    • The city holds a distinct aura as differentiable as its language, which is a mixture of many nearby languages.
    • Each source generates content descriptors for each differentiable topic in a tree structured hierarchy, and obtains a multicast address and a content mask for the broadest content descriptor it is capable of distributing.
    • This requires it to be a differentiable space in which certain geometrical objects obey the covariant field equations of general relativity, and in which physical objects obey the equations of motion of the theory.

Derivatives

  • differentiability

  • noun ˌdɪfərɛnʃɪəˈbɪlɪti
    • Because of the demands of differentiability in distribution theory, the spaces of test-functions and their duals are somewhat more complicated.
      Example sentencesExamples
      • However, continuity does not imply differentiability.
      • For example, the important distinctions between continuity and differentiability and between uniform and pointwise continuity seem to have no basis in intuition.
      • Most efficiently, some mathematical properties about transitions between time points, such as continuity or differentiability along time, can be used to constrain the behavior of the variables.
      • His work on functions of a real variable include results on functional series, differentiability of functions and Baire's classification.

Origin

Mid 19th century: from differentiate, on the pattern of pairs such as depreciate, depreciable.

Definition of differentiable in US English:

differentiable

adjectiveˌdifəˈrenSHəbəl
  • Able to be differentiated.

    可区别的

    Example sentencesExamples
    • This requires it to be a differentiable space in which certain geometrical objects obey the covariant field equations of general relativity, and in which physical objects obey the equations of motion of the theory.
    • In that the transition function is smooth and continuously differentiable, standard nonlinear estimation techniques are also applicable.
    • It was predicted that altruists and non-altruists would still be differentiable to perceivers with respect to helpfulness.
    • Since most functions defined by simple algebraic expressions are differentiable, on a sufficiently fine scale the points will appear to fall on a straight line.
    • So we lack an adequate understanding of the ‘lesbian market’; or their differentiable consumer behavior.
    • In contrast to many earlier applications of transition functions, the present analysis uses a functional representation of the transition that is smooth, continuous, and differentiable in both directions.
    • Each source generates content descriptors for each differentiable topic in a tree structured hierarchy, and obtains a multicast address and a content mask for the broadest content descriptor it is capable of distributing.
    • We may ask that the function be differentiable on one-dimensional subspaces; here one is led to the theory of the Gâteaux differential.
    • Gangsta rap is differentiable from other rap music in that gangsta rap makes use of images of urban life that are often associated with crime.
    • And songs are more clearly differentiable, making their market more efficient.
    • This is not to say that there are not differentiable affective constructs.
    • This transgenerational guidance is one of the reasons that suitable reservoirs are differentiable from another type of ‘magical’ thing used by the child at an earlier age: the transitional object.
    • Conventional economic theory follows a mathematical paradigm pioneered by classical physics, embodying smooth, differentiable functions, and dominant equilibria.
    • Thus, the characteristics of isotropic spreading are easily differentiable from those associated with anisotropic spreading both by edge dynamics and the overall characteristics of the cell.
    • The city holds a distinct aura as differentiable as its language, which is a mixture of many nearby languages.
    • It is also remarkable that he gave a function which is nowhere differentiable yet everywhere continuous.
    • In this paper he constructed a function which is analytic on the unit disk, is infinitely differentiable on the closed disk, but has no analytic continuation outside the disk.
    • Firstly, the man getting married should be differentiable from the groomsmen, as the latter should be wearing different styles.
    • We assume, like we did in the previous model, that the fitness functions are differentiable at the fixation points.
    • They do not see most gays as having an economic life at all, much less an economic life that is differentiable from that of most heterosexuals.

Origin

Mid 19th century: from differentiate, on the pattern of pairs such as depreciate, depreciable.

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