英语词汇“outer product”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

outer product n. [after German äusseres Produkt (H. Grassmann Die lineale Ausdehnungslehre (1844) p. xi)] Mathematics a vector product; (also) a related product of two vectors or tensors that yields a tensor whose rank is equal to the sum of the ranks of the multiplied quantities.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > vector product

curl1873

outer multiplication1881

outer product1884

triad1885

rotation1908

the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > vector product > yielding higher rank

outer product1884

1884 Amer. Jrnl. Math. 6 6 The outer product of two posited quantities which differ in position is some multiple of the connecting figure.

1929 H. W. Turnbull Theory of Determinants xi. 183 It involves a determinantal factor (αβγ) which is an outer product of the symbolic linear sets α, β, γ.

1965 J. Abram Tensor Calculus iii. 27 We could have written eqn. (3.14) as a^j(b_ic_j − b_jc_i) in which the bracket is an anti-symmetric tensor of order two. It is known as the outer product of the two vectors b_i and c_i. Only in three dimensions can the outer product be replaced by the vector product.

1970 F. W. Bedford & T. D. Dwivedi Vector Calculus iv. 168 Since the outer product of two vectors is not commutative, we stress again the fact that the order of the two factors in the outer product is important.

单词	outer product
释义	> as lemmas outer product outer product n. [after German äusseres Produkt (H. Grassmann Die lineale Ausdehnungslehre (1844) p. xi)] Mathematics a vector product; (also) a related product of two vectors or tensors that yields a tensor whose rank is equal to the sum of the ranks of the multiplied quantities. ΘΚΠ the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > vector product curl1873 outer multiplication1881 outer product1884 triad1885 rotation1908 the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > vector product > yielding higher rank outer product1884 1884 Amer. Jrnl. Math. 6 6 The outer product of two posited quantities which differ in position is some multiple of the connecting figure. 1929 H. W. Turnbull Theory of Determinants xi. 183 It involves a determinantal factor (αβγ) which is an outer product of the symbolic linear sets α, β, γ. 1965 J. Abram Tensor Calculus iii. 27 We could have written eqn. (3.14) as a^j(b_ic_j − b_jc_i) in which the bracket is an anti-symmetric tensor of order two. It is known as the outer product of the two vectors b_i and c_i. Only in three dimensions can the outer product be replaced by the vector product. 1970 F. W. Bedford & T. D. Dwivedi Vector Calculus iv. 168 Since the outer product of two vectors is not commutative, we stress again the fact that the order of the two factors in the outer product is important. extracted from outeradj.n.² < as lemmas
随便看	fossilcollecting fossildom fossiled fossilfuelled fossilhunting fossilia fossiliferous fossilification fossilified fossilify fossilisation fossilisations fossilise fossilised fossilises fossilising fossilism fossilist fossilists fossility fossilizable fossilization fossilizations fossilize fossilized

> as lemmas