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In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
The Bell Model 67 design was designated the X-16. A full-scale mock-up was completed and one aircraft was partially completed. It was designed as a high altitude long-range reconnaissance aircraft. [3] The X-16 design was breaking new ground with its design. Its wing was long 114 ft 10 in (35.00 m) with a high (11.9) aspect ratio. The structure ...
where Z is an N × N matrix the elements of which can be indexed using conventional matrix notation. In general the elements of the Z-parameter matrix are complex numbers and functions of frequency. For a one-port network, the Z-matrix reduces to a single element, being the ordinary impedance measured between the two terminals. The Z-parameters ...
All cases of the form (2, 3, n) or (2, n, 3) have the solution 2 3 + 1 n = 3 2 which is referred below as the Catalan solution. The case x = y = z ≥ 3 is Fermat's Last Theorem , proven to have no solutions by Andrew Wiles in 1994.
GF(2), the Galois field of 2 elements, alternatively written as Z 2; Z 2, the standard axiomatization of second-order arithmetic; Z², an album by Devin Townsend; German destroyer Z2 Georg Thiele, a Type 1934 destroyer in the German Kriegsmarine; USS Ringgold, a destroyer transferred to the German Navy as Z-2 in 1959; Westinghouse Airships Z-2 ...
[3] The question whether there exists a finite upper bound H(n) for the number of limit cycles of planar polynomial vector fields of degree n remains unsolved for any n > 1. (H(1) = 0 since linear vector fields do not have limit cycles.) Evgenii Landis and Ivan Petrovsky claimed a solution in the 1950s, but it was shown wrong in the early 1960s.
In mathematics, Mahler's 3/2 problem concerns the existence of "Z-numbers". A Z-number is a real number x such that the fractional parts of are less than 1/2 for all positive integers n. Kurt Mahler conjectured in 1968 that there are no Z-numbers. More generally, for a real number α, define Ω(α) as