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[4] [10] [11] In the Sanskrit poetic tradition, there was interest in enumerating all patterns of long (L) syllables of 2 units duration, juxtaposed with short (S) syllables of 1 unit duration. Counting the different patterns of successive L and S with a given total duration results in the Fibonacci numbers: the number of patterns of duration m ...
The Taylor series of any polynomial is the polynomial itself.. The Maclaurin series of 1 / 1 − x is the geometric series + + + +. So, by substituting x for 1 − x, the Taylor series of 1 / x at a = 1 is
B is a constant with the value of 3.645 0682 × 10 −7 m or 364.506 82 nm. m is the initial state (,). n is the final state (,). In 1888 the physicist Johannes Rydberg generalized the Balmer equation for all transitions of hydrogen.