differentiableadj.

Brit.

/ˌdɪfəˈrɛnʃəbl/, U.S.

/ˌdɪfəˈrɛn(t)ʃəb(ə)l/

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin differentiare , -ble suffix.

Etymology: < post-classical Latin differentiare differentiate v. + -ble suffix. Compare French différentiable (1693 as †differentiable in a letter from Leibniz to de l'Hospital, or earlier), post-classical Latin differentiabilis (1707 or earlier).

1. Mathematics.

a. Of a function: that can be differentiated at every point of its domain or a specified region of its domain.

ΚΠ

1863 Y. Ramachandra New Method Differential Calculus 32 In the proofs given of Taylor's theorem we have supposed all the functions that occur to be differentiable and to be continuous.

1888 Physical Mem. 1 56 The components of velocity of the moving masses can be viewed as differentiable functions.

1947 Amer. Math. Monthly 54 403 Let f(x) be a differentiable function defined in the closed interval (0,1).

1979 S. A. Glantz Math. Biomed. Applic. App. A. 343 The limit..does not exist and the function is not differentiable at x = 0.

2004 M. Potter Set Theory & its Philos. 82 Every differentiable function is continuous, but it is easy to give examples where the converse fails.

b. Designating a mathematical concept that involves differentiable functions in some way.

ΘΚΠ

the world > relative properties > number > calculus > [adjective] > other

partial1801

Runge–Kutta1930

differentiable1935

pre-exponential1940

1935 Proc. National Acad. Sci. U.S.A. 21 462 Any differentiable manifold may be given an analytic Riemannian metric.

1994 Canad. Jrnl. Math. 46 996 The reader not familiar with the machinery related to differentiable algebras can find more details in the Appendix.

2007 I. Stewart Why Beauty is Truth xiv. 245 Four-dimensional space is unique in supporting many different ‘differentiable structures’—coordinate systems in which calculus can be carried out.

2. That can be recognized as different or distinct; distinguishable.

ΘΚΠ

the world > relative properties > kind or sort > individual character or quality > [adjective] > individual or distinct > able to be distinguished

well-distinguished1594

designable1629

differentiable1867

1867 H. Spencer Princ. Biol. II. vii. §296. 309 Undeniable proof that they [sc. the tissues] are easily differentiable.

1898 Jrnl. Nerv. & Mental Dis. 25 832 In lower forms the young and old centres [of the cerebrum] are very incompletely differentiable anatomically.

1920 E. Saltus Imperial Orgy i. 21 To the Russian, in his Greek Church, the tsar, the nation and the Almighty were entities barely differentiable.

1959 Philos. Rev. 68 536 There are at least three intimately related but differentiable aspects of the study.

2012 Daily Times (Pakistan) (Nexis) 17 Mar. The two regions of Afghanistan are ethnically differentiable, the south being predominantly Pashtun and the north having a major Tajik presence.

This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022).

单词	differentiable
释义	differentiableadj. Brit. /ˌdɪfəˈrɛnʃəbl/, U.S. /ˌdɪfəˈrɛn(t)ʃəb(ə)l/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin differentiare , -ble suffix. Etymology: < post-classical Latin differentiare differentiate v. + -ble suffix. Compare French différentiable (1693 as †differentiable in a letter from Leibniz to de l'Hospital, or earlier), post-classical Latin differentiabilis (1707 or earlier). 1. Mathematics. a. Of a function: that can be differentiated at every point of its domain or a specified region of its domain. ΚΠ 1863 Y. Ramachandra New Method Differential Calculus 32 In the proofs given of Taylor's theorem we have supposed all the functions that occur to be differentiable and to be continuous. 1888 Physical Mem. 1 56 The components of velocity of the moving masses can be viewed as differentiable functions. 1947 Amer. Math. Monthly 54 403 Let f(x) be a differentiable function defined in the closed interval (0,1). 1979 S. A. Glantz Math. Biomed. Applic. App. A. 343 The limit..does not exist and the function is not differentiable at x = 0. 2004 M. Potter Set Theory & its Philos. 82 Every differentiable function is continuous, but it is easy to give examples where the converse fails. b. Designating a mathematical concept that involves differentiable functions in some way. ΘΚΠ the world > relative properties > number > calculus > [adjective] > other partial1801 Runge–Kutta1930 differentiable1935 pre-exponential1940 1935 Proc. National Acad. Sci. U.S.A. 21 462 Any differentiable manifold may be given an analytic Riemannian metric. 1994 Canad. Jrnl. Math. 46 996 The reader not familiar with the machinery related to differentiable algebras can find more details in the Appendix. 2007 I. Stewart Why Beauty is Truth xiv. 245 Four-dimensional space is unique in supporting many different ‘differentiable structures’—coordinate systems in which calculus can be carried out. 2. That can be recognized as different or distinct; distinguishable. ΘΚΠ the world > relative properties > kind or sort > individual character or quality > [adjective] > individual or distinct > able to be distinguished well-distinguished1594 designable1629 differentiable1867 1867 H. Spencer Princ. Biol. II. vii. §296. 309 Undeniable proof that they [sc. the tissues] are easily differentiable. 1898 Jrnl. Nerv. & Mental Dis. 25 832 In lower forms the young and old centres [of the cerebrum] are very incompletely differentiable anatomically. 1920 E. Saltus Imperial Orgy i. 21 To the Russian, in his Greek Church, the tsar, the nation and the Almighty were entities barely differentiable. 1959 Philos. Rev. 68 536 There are at least three intimately related but differentiable aspects of the study. 2012 Daily Times (Pakistan) (Nexis) 17 Mar. The two regions of Afghanistan are ethnically differentiable, the south being predominantly Pashtun and the north having a major Tajik presence. This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022). < adj.1863
随便看	confessional church confessional-box confessional-chair confessionalbox confessionalchair confessionalian confessionalism confessionalisms confessionalist confessionalists confessionalize confessionally confessionals confessionaries confessionary confessionchair confessioner confessiones confessionist confessionless confessionmoney confessions confessionseat confessive confessor