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

negative definite adj. Mathematics (a) (of a function) having negative (formerly: negative or zero) values for all non-zero values of its argument; (b) (of a square matrix) having all its eigenvalues negative; (c) (of an operator on a Hilbert space) such that the inner product of any element of the space with its image under the operator is less than zero.

ΚΠ

1867 Proc. Royal Soc. 16 197 We shall..suppose that the index of inertia is at least 1, i.e. we shall exclude negative definite forms.

1905 J. Pierpont Lect. Theory Functions Real Variables I. 324 If the sign of a definite form is positive, it is called a positive definite form; if negative, it is a negative definite form... −a₁²x₁² − … −a_m²x_m² is an example of a negative definite form.

1972 M. Kline Math. Thought xxxii. 799 A form is... called semidefinite if it can take on positive and negative values..and negative definite when the form is always negative or zero.

1995 Zeitschr. Angewandte Math. & Physik 46 267 Two results are obtained which state sufficient conditions for gyroscopic stabilization of conservative systems with an even dimension and a negative definite stiffness matrix.

单词	negative definite
释义	> as lemmas negative definite negative definite adj. Mathematics (a) (of a function) having negative (formerly: negative or zero) values for all non-zero values of its argument; (b) (of a square matrix) having all its eigenvalues negative; (c) (of an operator on a Hilbert space) such that the inner product of any element of the space with its image under the operator is less than zero. ΚΠ 1867 Proc. Royal Soc. 16 197 We shall..suppose that the index of inertia is at least 1, i.e. we shall exclude negative definite forms. 1905 J. Pierpont Lect. Theory Functions Real Variables I. 324 If the sign of a definite form is positive, it is called a positive definite form; if negative, it is a negative definite form... −a₁²x₁² − … −a_m²x_m² is an example of a negative definite form. 1972 M. Kline Math. Thought xxxii. 799 A form is... called semidefinite if it can take on positive and negative values..and negative definite when the form is always negative or zero. 1995 Zeitschr. Angewandte Math. & Physik 46 267 Two results are obtained which state sufficient conditions for gyroscopic stabilization of conservative systems with an even dimension and a negative definite stiffness matrix. extracted from negativeadj.adv.²int. < as lemmas
随便看	thick seam thick space thick stuff thick tea thick un thick wind thick woods thick-and-thinnite thick-ankled thick-back thick-barred thick-beating thick-bedded thick-bill thick-billed thick-blooded thick-blown thick-bodied thick-bossed thick-bottomed thick-brained thick-breathed thick-clouded thick-coalman thick-coated

> as lemmas