There is more.......................................the fractions continue........to infinity on the bottom...........the denominator...........1/9 + 1/10.........................could be seen to become........using the zero dimens..................like the zeros themselves...........like self sim.......like chaos theory.......like fractal patterns.................19 and 110..........................subtract 19 from 110............the answer is 91............r.s.........................91 - 19 = 72...........................................like e backwards.......the 1st two digits......like 1/2.....................the critical line..........................the gap is 72.......but there are 71 integers in the gap..............

Harmonic series (mathematics)

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For the concept of the same name in music, see Harmonic series (music).

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In mathematics, the harmonic series is the divergent infinite series:

${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n}}=1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots }$

Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string's fundamental wavelength. Every