英语词汇“the power five”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

c. Mathematics. A quantity obtained by multiplying a given quantity by itself one or more times, the number of times the given quantity appears as a factor of the resulting product being indicated as the exponent of that quantity (thus 2³ represents 2 × 2 × 2); (in later use) also generalized to fractional and negative exponents (see note below). Also: an exponent. Frequently with a preceding ordinal number (as (to) the third power) or a following cardinal number (as (to) the power five, (to) the power of five). Also figurative (cf. to the nth (degree, power) at nth adj. 2).The first power of a given quantity is the quantity itself; the second power is the square, or product of the quantity multiplied by itself once; the third power is the cube, or product of the square multiplied by the given quantity.Powers in which the exponent is negative, or not an integer, are defined so that the equations (x^y)^z = x^yz, x^yx^z = x^y+z are satisfied; any power in which the exponent is zero is defined as equal to unity. E.g. 4^½ is the square root of 4, i.e. 2, since 4 = 4¹ = (4^½)² = 2²; 3⁻² = ¹/ ₉, since 1 = 3⁰ = 3² × 3⁻² = 9 × ¹/ ₉.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication > into or by itself > product of

power1603

potestas1653

1603 P. Holland tr. Plutarch Morals 1360 Unitie it self is quadrat and foure-square, as being that which is the power of it selfe.

a1690 S. Jeake Λογιστικηλογία (1696) 297 Multiply alternately..the Numbers given by the Powers of these alternate Indices for the reduced Surdes.

1743 W. Emerson Doctr. Fluxions 25 If any Term be divided by the first Power of the variable Quantity; then the Fluxion of that Term must be found by itself thus.

1807 T. Young Course Lect. Nat. Philos. I. xiii. 141 A wire... The stiffness varying as the fourth power of the diameter, that is, as the square of its square.

1903 Daily Chron. 9 May 4/5 The adventures of Sherlock Holmes are cerebrality raised to the power of n.

1913 E. Rutherford in London, Edinb., & Dublin Philos. Mag. 6th Ser. 26 709 The scattering coefficient varied inversely as the fourth power of the velocity.

1969 Listener 6 Mar. 302/1 The improbability of the positive results obtained is of the order of ten to the power of 50.

1995 New Scientist 4 Mar. 46/2 His [sc. Fermat's] so-called ‘Little Theorem’ for example, states that for any prime p and whole number n, subtracting n from n raised to the power p always leaves a number divisible by p.

单词	the power five
释义	> as lemmas (to) the power five c. Mathematics. A quantity obtained by multiplying a given quantity by itself one or more times, the number of times the given quantity appears as a factor of the resulting product being indicated as the exponent of that quantity (thus 2³ represents 2 × 2 × 2); (in later use) also generalized to fractional and negative exponents (see note below). Also: an exponent. Frequently with a preceding ordinal number (as (to) the third power) or a following cardinal number (as (to) the power five, (to) the power of five). Also figurative (cf. to the nth (degree, power) at nth adj. 2).The first power of a given quantity is the quantity itself; the second power is the square, or product of the quantity multiplied by itself once; the third power is the cube, or product of the square multiplied by the given quantity.Powers in which the exponent is negative, or not an integer, are defined so that the equations (x^y)^z = x^yz, x^yx^z = x^y+z are satisfied; any power in which the exponent is zero is defined as equal to unity. E.g. 4^½ is the square root of 4, i.e. 2, since 4 = 4¹ = (4^½)² = 2²; 3⁻² = ¹/ ₉, since 1 = 3⁰ = 3² × 3⁻² = 9 × ¹/ ₉. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication > into or by itself > product of power1603 potestas1653 1603 P. Holland tr. Plutarch Morals 1360 Unitie it self is quadrat and foure-square, as being that which is the power of it selfe. a1690 S. Jeake Λογιστικηλογία (1696) 297 Multiply alternately..the Numbers given by the Powers of these alternate Indices for the reduced Surdes. 1743 W. Emerson Doctr. Fluxions 25 If any Term be divided by the first Power of the variable Quantity; then the Fluxion of that Term must be found by itself thus. 1807 T. Young Course Lect. Nat. Philos. I. xiii. 141 A wire... The stiffness varying as the fourth power of the diameter, that is, as the square of its square. 1903 Daily Chron. 9 May 4/5 The adventures of Sherlock Holmes are cerebrality raised to the power of n. 1913 E. Rutherford in London, Edinb., & Dublin Philos. Mag. 6th Ser. 26 709 The scattering coefficient varied inversely as the fourth power of the velocity. 1969 Listener 6 Mar. 302/1 The improbability of the positive results obtained is of the order of ten to the power of 50. 1995 New Scientist 4 Mar. 46/2 His [sc. Fermat's] so-called ‘Little Theorem’ for example, states that for any prime p and whole number n, subtracting n from n raised to the power p always leaves a number divisible by p. extracted from powern.¹ < as lemmas
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