Legendrianadj.

Brit.

/ləˈʒɒndrɪən/, U.S.

/ləˈʒɑndriən/

Origin: From a proper name, combined with an English element. Etymons: proper name Legendre , -ian suffix.

Etymology: < the name of Adrien-Marie Legendre (see Legendre n.) + -ian suffix. N.E.D. (1902) gives the pronunciation as (lĭdʒe·ndriăn) /lɪˈdʒɛndrɪən/.

Mathematics.

Designating concepts arising from or related to the work of Legendre; involving or relating to the work of Legendre.

ΚΠ

1873 Rep. Comm. Math. Tables (Brit. Assoc. Advancem. Sci.) 170 Tables of the Legendrian Functions.]

1879 Proc. Royal Soc. 29 346 Mr. Roberts generally uses the Legendrian notation.

1918 Bull. Amer. Math. Soc. 24 252 There follows..an elementary discussion of the three kinds of elliptic integrals and the Legendrian transformations.

1974 L. Sklar Space, Time, & Spacetime i. 27 The sum of the interior angles of a triangle is greater than a straight angle (non-Legendrian geometry).

2008 Proc. Amer. Math. Soc. 136 1621 The difficulties stem from the non-linearity..of the Legendrian (or Lagrangian) constraints.

Compounds

† Legendrian coefficient n. Obsolete = Legendre polynomial n. at Legendre n. 5.

ΚΠ

1880 Messenger Math. 9 57 The theorem may be regarded as one connecting the m^th integral and the m^th derivative of the n^th Legendrian coefficient.

1922 J. Edwards Treat. Integral Calculus II. xxxix. 924 P_n is the Legendrian coefficient of the n^th order.

Legendrian function n. now rare = Legendre function n. at Legendre n. 2.

ΚΠ

1873 Rep. Comm. Math. Tables (Brit. Assoc. Advancem. Sci.) 170 Tables of the Legendrian Functions.

1943 Math. Tables & Other Aids Computation 1 116 Extensive tables have been computed for the Legendrian functions in their trigonometric form.

Legendrian symbol n. now rare = Legendre symbol n. at Legendre n. 3.

ΚΠ

1883 Educ. Times 1 Apr. 240/1 Jacobi's generalization of the Legendrian symbol.

1968 A. E. Western & J. C. P. Miller Tables Indices & Primitive Roots p. ix We write ( x | p ) for the Legendrian symbol.

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

单词	legendrian
释义	Legendrianadj. Brit. /ləˈʒɒndrɪən/, U.S. /ləˈʒɑndriən/ Origin: From a proper name, combined with an English element. Etymons: proper name Legendre , -ian suffix. Etymology: < the name of Adrien-Marie Legendre (see Legendre n.) + -ian suffix. N.E.D. (1902) gives the pronunciation as (lĭdʒe·ndriăn) /lɪˈdʒɛndrɪən/. Mathematics. Designating concepts arising from or related to the work of Legendre; involving or relating to the work of Legendre. ΚΠ 1873 Rep. Comm. Math. Tables (Brit. Assoc. Advancem. Sci.) 170 Tables of the Legendrian Functions.] 1879 Proc. Royal Soc. 29 346 Mr. Roberts generally uses the Legendrian notation. 1918 Bull. Amer. Math. Soc. 24 252 There follows..an elementary discussion of the three kinds of elliptic integrals and the Legendrian transformations. 1974 L. Sklar Space, Time, & Spacetime i. 27 The sum of the interior angles of a triangle is greater than a straight angle (non-Legendrian geometry). 2008 Proc. Amer. Math. Soc. 136 1621 The difficulties stem from the non-linearity..of the Legendrian (or Lagrangian) constraints. Compounds † Legendrian coefficient n. Obsolete = Legendre polynomial n. at Legendre n. 5. ΚΠ 1880 Messenger Math. 9 57 The theorem may be regarded as one connecting the m^th integral and the m^th derivative of the n^th Legendrian coefficient. 1922 J. Edwards Treat. Integral Calculus II. xxxix. 924 P_n is the Legendrian coefficient of the n^th order. Legendrian function n. now rare = Legendre function n. at Legendre n. 2. ΚΠ 1873 Rep. Comm. Math. Tables (Brit. Assoc. Advancem. Sci.) 170 Tables of the Legendrian Functions. 1943 Math. Tables & Other Aids Computation 1 116 Extensive tables have been computed for the Legendrian functions in their trigonometric form. Legendrian symbol n. now rare = Legendre symbol n. at Legendre n. 3. ΚΠ 1883 Educ. Times 1 Apr. 240/1 Jacobi's generalization of the Legendrian symbol. 1968 A. E. Western & J. C. P. Miller Tables Indices & Primitive Roots p. ix We write ( x \| p ) for the Legendrian symbol. This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022). < adj.1873
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