Results 1 to 10 of about 61,133 (171)
The Journal of the Acoustical Society of America, 1968 Results of the masking of one sinusoid by brief pulses of another sinusoid are reported as a function of the phase of the masking pulse. In one case, the brief (10-msec) masker is presented as a sine pulse; in the other case, the masker is presented as a sine pulse.
David M. Green
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ALGEBRAIC DERIVATION OF THE LAW OF COSINES [PDF]
School Science and Mathematics, 1917 n ...
Albert Babbitt
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Iterated square root expansions for the inverse cosine and inverse hyperbolic cosine [PDF]
Mathematics of Computation, 1961 Let R 1 = 2 + 2 x {R_1} = \sqrt {2 + 2x} , R k + 1 = | 2
Henry C. Thacher
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1960 née Katayama Miyoko Uchiyama +1 more
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Cosine polynomials with few zeros [PDF]
Bulletin of the London Mathematical Society, 2021 In a celebrated paper, Borwein, Erd lyi, Ferguson and Lockhart constructed cosine polynomials of the form \[ f_A(x) = \sum_{a \in A} \cos(ax), \] with $A\subseteq \mathbb{N}$, $|A|= n$ and as few as $n^{5/6+o(1)}$ zeros in $[0,2 ]$, thereby disproving an old conjecture of J.E. Littlewood. Here we give a sharp analysis of their constructions and, as a
Juškevičius, T, Sahasrabudhe, J
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ON COSINE FAMILIES CLOSE TO SCALAR COSINE FAMILIES [PDF]
Journal of the Australian Mathematical Society, 2015 We prove that if two normed-algebra-valued cosine families indexed by a single Abelian group, of which one is bounded and comprised solely of scalar elements of the underlying algebra, differ in norm by less than$1$uniformly in the parametrising index, then these families coincide.
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Poncelet Plectra: Harmonious Curves in Cosine Space [PDF]
Beitraege zur Algebra und Geometrie 2022, 2021 It has been shown that the family of Poncelet N-gons in the confocal pair (elliptic billiard) conserves the sum of cosines of its internal angles. Curiously, this quantity is equal to the sum of cosines conserved by its affine image where the caustic is a circle. We show that furthermore, (i) when N=3, the cosine triples of both families sweep the same
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Nature, 1879 IN NATURE, vol. xix. p. 98, my name appears in a way that might lead the reader to infer that I was the inventor of the “cosine galvanometer.” My knowledge of this useful instrument was derived from Prof. Trowbridge, of Cambridge, U.S., who described it in 1871 in the American Journal of Science, vol. cii. p. 118.
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Composite Cosine Transforms [PDF]
Mathematika, 2005 The cosine transforms of functions on the unit sphere play an important role in convex geometry, the Banach space theory, stochastic geometry and other areas. Their higher-rank generalization to Grassmann manifolds represents an interesting mathematical object useful for applications.
Boris Rubin, E. Ournycheva
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