summandn.

Brit.

/ˈsʌmand/, U.S.

/ˈsəmˌænd/

Origin: A borrowing from Latin. Etymon: Latin summandus.

Etymology: < post-classical Latin summandus (short for summandus numerus number to be added) (1695 or earlier), use as noun of gerundive of summare sum v.¹Compare German Summand (1822 or earlier; 1821 or earlier as Summandus).

Mathematics.

1. Originally: any of two or more terms to be added together in symbolic algebra. In later use also: any of two or more numbers or quantities to be summed together (= addend n.).

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [noun] > summing or addition > numerical elements of

sum1579

addend1674

summand1842

augend1894

1842 G. Peacock Treat. Algebra I. i. 13 We place the summands or expressions to be added, underneath one another, as in the addition of numbers in common arithmetic.

1893 W. B. Smith Introd. Mod. Geom. 146 The areas apposed are called parts or summands of the sum.

2010 P. Zorn Understanding Real Anal. iv. 200 The last summand above can't exceed 0.14.

2. Any of the sets, vector spaces, etc., forming a direct sum.

ΚΠ

1936 Amer. Jrnl. Math. 58 433 The precise meaning of this type of direct sum usually involving an infinite number of summands is given below.

2012 S. Sternberg Curvature in Math. & Physics v. 160 Each of these summands is irreducible under the adjoint representation.

This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2022).

单词	summand
释义	summandn. Brit. /ˈsʌmand/, U.S. /ˈsəmˌænd/ Origin: A borrowing from Latin. Etymon: Latin summandus. Etymology: < post-classical Latin summandus (short for summandus numerus number to be added) (1695 or earlier), use as noun of gerundive of summare sum v.¹Compare German Summand (1822 or earlier; 1821 or earlier as Summandus). Mathematics. 1. Originally: any of two or more terms to be added together in symbolic algebra. In later use also: any of two or more numbers or quantities to be summed together (= addend n.). ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [noun] > summing or addition > numerical elements of sum1579 addend1674 summand1842 augend1894 1842 G. Peacock Treat. Algebra I. i. 13 We place the summands or expressions to be added, underneath one another, as in the addition of numbers in common arithmetic. 1893 W. B. Smith Introd. Mod. Geom. 146 The areas apposed are called parts or summands of the sum. 2010 P. Zorn Understanding Real Anal. iv. 200 The last summand above can't exceed 0.14. 2. Any of the sets, vector spaces, etc., forming a direct sum. ΚΠ 1936 Amer. Jrnl. Math. 58 433 The precise meaning of this type of direct sum usually involving an infinite number of summands is given below. 2012 S. Sternberg Curvature in Math. & Physics v. 160 Each of these summands is irreducible under the adjoint representation. This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2022). < n.1842
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