Minkowskin.

Brit.

/mɪŋˈkɒfski/, U.S.

/mɪŋˈkaʊski/,

/mɪŋˈkɑfski/

Origin: From a proper name. Etymon: proper name Minkowski.

Etymology: < the name of Hermann Minkowski (1864–1909), Russian-born German mathematician who was the first to give a mathematical and geometrical formulation of the space-time relations of special relativity, which he presented in a 1908 lecture (1909 Physikal. Zeitschr. 10 104–11).

Mathematics and Physics.

1. attributive and in the genitive. Designating various concepts occurring in or arising out of Minkowski's work in the field of special relativity; spec. designating or relating to the flat, four-dimensional space–time used in geometrical descriptions of special relativity.

ΚΠ

1910 Sci. Abstr. A. 13 415 The space-time conceptions of Minkowski in the four-dimensional space, or Minkowski's ‘world’.

1911 Sci. Abstr. A. 14 377 Minkowski force is defined and compared with force in the Newtonian sense.

1916 Sci. Abstr. A. 19 277 The four-dimensional treatment of problems in the Minkowski universe.

1935 Discovery Dec. 377/2 He attempted to explain the Minkowski theory of space-time.

1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) ii. vi. 39/1 The axiomatic statement of the theory [of relativity] can be simplified materially if one considers the space-time manifold itself to be a definite entity having the geometrical character of a pseudo-Riemannian manifold with a line element of the special form (Minkowski line element) ϕ₀ ≡ c²(dt)² − (dx)² − (dy)² − (dz)²... Where the space-time manifold is assumed to have one coordinate system in which the line element everywhere has the Minkowski form..it is referred to as Minkowski space-time.

1986 P. C. West Introd. Supersymmetry & Supergravity xx. 218 This space is four dimensional and contains the well known transformations of the Poincaré group on Minkowski space.

1989 R. Penrose Emperor's New Mind v. 208 In the presence of gravity, space-time is locally like the Minkowski's geometry (which is flat space-time), but we allow some ‘curviness’ on a larger scale.

2. Minkowski inequality n. either of two generalizations of the triangle inequality, stating that the magnitude of the sum of two vectors or functions is less than or equal to the sum of their magnitudes.The formulae are as follows: for two functions f and g, |f + g|^p^1/p ≦ |f|^p^1/p + |g|^p^1/p; for two vectors (a₁,…,a_n) and (b₁,…,b_n), ∑|a_i + b_i|^p^1/p ≦ ∑|a_i|^p^1/p + ∑|b_i|^p^1/p.

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > inequality

inequation1855

inequality1875

Minkowski inequality1932

triangle inequality1941

Cauchy–Schwarz inequality1956

ultrametric inequality1967

1932 E. C. Titchmarsh Theory of Functions xii. 384 Minkowski's inequality. If f(x) and g(x) belong to <^p, where p>1, then {∫|f(x) + g(x)|^pdx}^1/p ≦ {∫|f(x)|^pdx}^1/p + {∫|g(x)|^pdx}^1/p.

1956 J. M. H. Olmsted Intermediate Analysis i. 13 Square both members of the Minkowski inequality..and reverse steps.

1990 Proc. London Math. Soc. 60 368 From the Minkowski inequality it follows easily..that..K and L are translates of each other.

This is a new entry (OED Third Edition, March 2002; most recently modified version published online March 2022).

单词	minkowski
释义	Minkowskin. Brit. /mɪŋˈkɒfski/, U.S. /mɪŋˈkaʊski/, /mɪŋˈkɑfski/ Origin: From a proper name. Etymon: proper name Minkowski. Etymology: < the name of Hermann Minkowski (1864–1909), Russian-born German mathematician who was the first to give a mathematical and geometrical formulation of the space-time relations of special relativity, which he presented in a 1908 lecture (1909 Physikal. Zeitschr. 10 104–11). Mathematics and Physics. 1. attributive and in the genitive. Designating various concepts occurring in or arising out of Minkowski's work in the field of special relativity; spec. designating or relating to the flat, four-dimensional space–time used in geometrical descriptions of special relativity. ΚΠ 1910 Sci. Abstr. A. 13 415 The space-time conceptions of Minkowski in the four-dimensional space, or Minkowski's ‘world’. 1911 Sci. Abstr. A. 14 377 Minkowski force is defined and compared with force in the Newtonian sense. 1916 Sci. Abstr. A. 19 277 The four-dimensional treatment of problems in the Minkowski universe. 1935 Discovery Dec. 377/2 He attempted to explain the Minkowski theory of space-time. 1967 E. U. Condon & H. Odishaw Handbk. Physics (ed. 2) ii. vi. 39/1 The axiomatic statement of the theory [of relativity] can be simplified materially if one considers the space-time manifold itself to be a definite entity having the geometrical character of a pseudo-Riemannian manifold with a line element of the special form (Minkowski line element) ϕ₀ ≡ c²(dt)² − (dx)² − (dy)² − (dz)²... Where the space-time manifold is assumed to have one coordinate system in which the line element everywhere has the Minkowski form..it is referred to as Minkowski space-time. 1986 P. C. West Introd. Supersymmetry & Supergravity xx. 218 This space is four dimensional and contains the well known transformations of the Poincaré group on Minkowski space. 1989 R. Penrose Emperor's New Mind v. 208 In the presence of gravity, space-time is locally like the Minkowski's geometry (which is flat space-time), but we allow some ‘curviness’ on a larger scale. 2. Minkowski inequality n. either of two generalizations of the triangle inequality, stating that the magnitude of the sum of two vectors or functions is less than or equal to the sum of their magnitudes.The formulae are as follows: for two functions f and g, \|f + g\|^p^1/p ≦ \|f\|^p^1/p + \|g\|^p^1/p; for two vectors (a₁,…,a_n) and (b₁,…,b_n), ∑\|a_i + b_i\|^p^1/p ≦ ∑\|a_i\|^p^1/p + ∑\|b_i\|^p^1/p. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > inequality inequation1855 inequality1875 Minkowski inequality1932 triangle inequality1941 Cauchy–Schwarz inequality1956 ultrametric inequality1967 1932 E. C. Titchmarsh Theory of Functions xii. 384 Minkowski's inequality. If f(x) and g(x) belong to <^p, where p>1, then {∫\|f(x) + g(x)\|^pdx}^1/p ≦ {∫\|f(x)\|^pdx}^1/p + {∫\|g(x)\|^pdx}^1/p. 1956 J. M. H. Olmsted Intermediate Analysis i. 13 Square both members of the Minkowski inequality..and reverse steps. 1990 Proc. London Math. Soc. 60 368 From the Minkowski inequality it follows easily..that..K and L are translates of each other. This is a new entry (OED Third Edition, March 2002; most recently modified version published online March 2022). < n.1910
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