Special Values of e k , Cosh(k ) and Sinh (k ) to 136 Figures
نویسندگان
چکیده
منابع مشابه
Knots with g(E(K)) = 2 and g(E(K#K#K)) = 6 and Morimoto’s Conjecture
We show that there exist knots K ⊂ S with g(E(K)) = 2 and g(E(K#K#K)) = 6. Together with [5, Theorem 1.5], this proves existence of counterexamples to Morimoto’s Conjecture [10]. This is a special case of [6]. Let Ki (i = 1, 2) be knots in the 3-sphere S, and let K1#K2 be their connected sum. We use the notation t(·), E(·), and g(·) to denote tunnel number, exterior, and Heegaard genus respecti...
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An exact formula was recently obtained for the spectral norms of the Lucas and Fibonacci Hankel matrices [1], and also for the Lucas and Fibonacci Toeplitz matrices [4]. These results put finishing touches on the works initiated in [2] and [3]. On another front, bounds were found for the spectral norms of k-Fibonacci and k-Lucas Toeplitz matrices [7]. In this paper, we present the exact value f...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1947
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.33.2.34