英语词汇“de moivre's formula”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

In the genitive: denoting any of a number of concepts or theorems attributed to or associated with de Moivre; spec. denoting the identity (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ, where n is a whole number and i is the square root of −1; chiefly in de Moivre's formula, de Moivre's theorem.Although de Moivre is now primarily associated with this trigonometrical identity, he also published works on chance and probability and the multinomial theorem.

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1796 Monthly Mag. May 303/2 By De Moivre's Theorem..we have x = am + bm³ + cm⁵ + dm⁷, &c.

1803 Monthly Rev. May 96 Short tables are inserted for the amount of annuities for any number of years certain, for the value of annuities on single and joint lives according to Demoivre's hypotheses, &c.

1809 R. Woodhouse Treat. Plane & Spherical Trigonom. 54 We may also employ the above mode of expressing the cosines of multiple arcs, in deducing De Moivre's formula.

1888 Encycl. Brit. XXIII. 568/2 The principal object of De Moivre's theorem is to enable us to find all the values of an expression of the form (a + ι b)^m/n.

1899 Science 15 Sept. 354/2 Any one who admits De Moivre's theorem into algebra is logically bound to admit quaternions as the highest form of algebra.

1941 R. Courant & H. E. Robbins What is Math.? ii. 98 These facts suggest that there may be two more cube roots of 1 in the complex domain, making a total of three in all. That this is the case may be shown at once from De Moivre's formula.

1996 P. L. Bernstein Against the Gods vii. 127 De Moivre's distribution is known today as a normal curve, or..a bell curve.

2006 A. Ash & R. Gross Fearless Symmetry xviii. 200 We start with the polynomial xⁿ−1. We know what the roots of this polynomial are, using de Moivre's Theorem.

单词	de moivre's formula
释义	> as lemmas de Moivre's formula In the genitive: denoting any of a number of concepts or theorems attributed to or associated with de Moivre; spec. denoting the identity (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ, where n is a whole number and i is the square root of −1; chiefly in de Moivre's formula, de Moivre's theorem.Although de Moivre is now primarily associated with this trigonometrical identity, he also published works on chance and probability and the multinomial theorem. ΚΠ 1796 Monthly Mag. May 303/2 By De Moivre's Theorem..we have x = am + bm³ + cm⁵ + dm⁷, &c. 1803 Monthly Rev. May 96 Short tables are inserted for the amount of annuities for any number of years certain, for the value of annuities on single and joint lives according to Demoivre's hypotheses, &c. 1809 R. Woodhouse Treat. Plane & Spherical Trigonom. 54 We may also employ the above mode of expressing the cosines of multiple arcs, in deducing De Moivre's formula. 1888 Encycl. Brit. XXIII. 568/2 The principal object of De Moivre's theorem is to enable us to find all the values of an expression of the form (a + ι b)^m/n. 1899 Science 15 Sept. 354/2 Any one who admits De Moivre's theorem into algebra is logically bound to admit quaternions as the highest form of algebra. 1941 R. Courant & H. E. Robbins What is Math.? ii. 98 These facts suggest that there may be two more cube roots of 1 in the complex domain, making a total of three in all. That this is the case may be shown at once from De Moivre's formula. 1996 P. L. Bernstein Against the Gods vii. 127 De Moivre's distribution is known today as a normal curve, or..a bell curve. 2006 A. Ash & R. Gross Fearless Symmetry xviii. 200 We start with the polynomial xⁿ−1. We know what the roots of this polynomial are, using de Moivre's Theorem. extracted from de Moivren. < as lemmas
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