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If one connects two electrical resistors in parallel, one having resistance x (e.g., 60 Ω) and one having resistance y (e.g., 40 Ω), then the effect is the same as if one had used two resistors with the same resistance, both equal to the harmonic mean of x and y (48 Ω): the equivalent resistance, in either case, is 24 Ω (one-half of the ...
The harmonic mean of a set of positive integers is the number of numbers times the reciprocal of the sum of their reciprocals. The optic equation requires the sum of the reciprocals of two positive integers a and b to equal the reciprocal of a third positive integer c. All solutions are given by a = mn + m 2, b = mn + n 2, c = mn.
Harmonic numbers are related to the harmonic mean in that the n-th harmonic number is also n times the reciprocal of the harmonic mean of the first n positive integers. Harmonic numbers have been studied since antiquity and are important in various branches of number theory.
In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression, which is also known as an arithmetic sequence. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.
The reciprocal of the harmonic mean is the arithmetic mean of the reciprocals /, ... the four expressions can be evaluated with two positive numbers.
The two exterior entrances have armored steel blast doors — one paired with a radiation decontamination shower. The dark, damp interior gives the shelter a mausoleum-esque aura.
Amanda Bynes has embarked on a weight loss journey and she’s eager to share her results. Bynes, 38, took to Instagram Stories on Tuesday, November 5, to share a screenshot of her day’s total ...
The random harmonic series is =, where the values are independent and identically distributed random variables that take the two values + and with equal probability . It converges with probability 1 , as can be seen by using the Kolmogorov three-series theorem or of the closely related Kolmogorov maximal inequality .