ansatzn.

Brit.

/ˈansats/,

/ˈanzats/, U.S.

/ˈɑnˌsɑts/,

/ˈɑnˌzɑts/

Origin: A borrowing from German. Etymon: German Ansatz.

Etymology: < German Ansatz attempt, approach (14th cent. or earlier; 1791 in this specific use in mathematics) < ansetzen (Old High German anasezzen).German Ansatz was formed by analogy with Satz leap, situation (ultimately < the same Germanic base as setzen set v.¹) beside setzen set v.¹

A mathematical statement which is assumed to be true for a given problem, for the purpose of solving or investigating that problem; esp. a hypothesized solution to a mathematical problem.

ΘΚΠ

the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > self-evident or accepted without proof

petition1529

request1551

axiom1593

postulate1660

porime1702

postulatum1743

ansatz1936

1936 Trans. Amer. Math. Soc. 39 173 We therefore make the ‘Ansatz’ ϕ_l = H_l( x₁,…, x_n ) · f_l, where H_l is a homogeneous function.

1968 C. G. Kuper Introd. Theory Superconductivity xi. 184 The microscopic theory..makes a variational Ansatz, designed to take maximum advantage of the Cooper condensation.

1990 IMA Jrnl. Appl. Math. 44 102 We eliminate η(x) between equations (3) and (4) and substitute the ansatz (6) into the resulting equation.

2011 B. Cox & J. Forshaw Quantum Universe ii. 12 In such cases, scientists often make an ansatz, an educated guess if you like, and then proceed to compute the consequences of the guess.

This entry has been updated (OED Third Edition, June 2016; most recently modified version published online December 2021).

单词	ansatz
释义	ansatzn. Brit. /ˈansats/, /ˈanzats/, U.S. /ˈɑnˌsɑts/, /ˈɑnˌzɑts/ Origin: A borrowing from German. Etymon: German Ansatz. Etymology: < German Ansatz attempt, approach (14th cent. or earlier; 1791 in this specific use in mathematics) < ansetzen (Old High German anasezzen).German Ansatz was formed by analogy with Satz leap, situation (ultimately < the same Germanic base as setzen set v.¹) beside setzen set v.¹ A mathematical statement which is assumed to be true for a given problem, for the purpose of solving or investigating that problem; esp. a hypothesized solution to a mathematical problem. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > self-evident or accepted without proof petition1529 request1551 axiom1593 postulate1660 porime1702 postulatum1743 ansatz1936 1936 Trans. Amer. Math. Soc. 39 173 We therefore make the ‘Ansatz’ ϕ_l = H_l( x₁,…, x_n ) · f_l, where H_l is a homogeneous function. 1968 C. G. Kuper Introd. Theory Superconductivity xi. 184 The microscopic theory..makes a variational Ansatz, designed to take maximum advantage of the Cooper condensation. 1990 IMA Jrnl. Appl. Math. 44 102 We eliminate η(x) between equations (3) and (4) and substitute the ansatz (6) into the resulting equation. 2011 B. Cox & J. Forshaw Quantum Universe ii. 12 In such cases, scientists often make an ansatz, an educated guess if you like, and then proceed to compute the consequences of the guess. This entry has been updated (OED Third Edition, June 2016; most recently modified version published online December 2021). < n.1936
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