non-commutativityn.

Brit.

/ˌnɒnkəˌmjuːtəˈtɪvᵻti/,

/nɒnˌkɒmjᵿtəˈtɪvᵻti/, U.S.

/ˈˌnɑnˌkɑmjədəˈtɪvᵻdi/,

/ˈˌnɑnkəˌmjudəˈtɪvᵻdi/

Origin: Formed within English, by derivation. Etymons: non- prefix, commutativity n.

Etymology: < non- prefix + commutativity n., after non-commutative adj.

Mathematics.

The property of being non-commutative; = non-commutativeness n.

ΚΠ

1914 Trans. Amer. Math. Soc. 15 216 We have..the formula..irrespective of the commutativity or non-commutativity of the product.

1929 E. U. Condon & P. M. Morse Quantum Mech. i. 14 The non-commutativity of the operation which passes for p in the wave equation and its associated q.

1964 E. A. Power Introd. Quantum Electrodynamics vi. 83 The order of the factors p and A(q) in the first term of (56) is immaterial despite the non-commutativity of p_α and q_α in the quantum theory.

1996 Amer. Math. Monthly 103 656 Unfortunately, the non-commutativity of H causes this definition to be far too restrictive.

This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022).

单词	non-commutativity
释义	non-commutativityn. Brit. /ˌnɒnkəˌmjuːtəˈtɪvᵻti/, /nɒnˌkɒmjᵿtəˈtɪvᵻti/, U.S. /ˈˌnɑnˌkɑmjədəˈtɪvᵻdi/, /ˈˌnɑnkəˌmjudəˈtɪvᵻdi/ Origin: Formed within English, by derivation. Etymons: non- prefix, commutativity n. Etymology: < non- prefix + commutativity n., after non-commutative adj. Mathematics. The property of being non-commutative; = non-commutativeness n. ΚΠ 1914 Trans. Amer. Math. Soc. 15 216 We have..the formula..irrespective of the commutativity or non-commutativity of the product. 1929 E. U. Condon & P. M. Morse Quantum Mech. i. 14 The non-commutativity of the operation which passes for p in the wave equation and its associated q. 1964 E. A. Power Introd. Quantum Electrodynamics vi. 83 The order of the factors p and A(q) in the first term of (56) is immaterial despite the non-commutativity of p_α and q_α in the quantum theory. 1996 Amer. Math. Monthly 103 656 Unfortunately, the non-commutativity of H causes this definition to be far too restrictive. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < n.1914
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