نتایج جستجو برای: lucas
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In this paper, we establish several formulae for sums and alternating sums of products of generalized Fibonacci and Lucas numbers. In particular, we recover and extend all results of Z. Čerin [2, 2005] and Z. Čerin and G. M. Gianella [3, 2006], more easily.
We establish a sufficient condition for a block sequence in the Schlumprecht space S to have a subsymmetric subsequence, and prove the existence of an uncountable family of subsymmetric and mutually non-isomorphic block sequences in S.
The sequence {Un(1,−1)} is the familiar Fibonacci sequence, and it was proved by Cohn [12] in 1964 that the only perfect square greater than 1 in this sequence is U12 = 144. The question arises, for which parameters P , Q, can Un(P,Q) be a perfect square? This has been studied by several authors: see for example Cohn [13] [14] [15], Ljunggren [22], and Robbins [25]. Using Baker’s method on line...
Lund University Cardiopulmonary Assist System (LUCAS) is a new gas-driven CPR device providing automatic chest compression and active decompression. This is a report of the first 100 consecutive cases treated with LUCAS due to out-of-hospital cardiac arrest (58% asystole, 42% ventricular fibrillation (VF)). Safety aspects were also investigated and it was found that LUCAS can be used safely reg...
A Lucas cube 3^ can be defined as the graph whose vertices are the binary strings of length n without either two consecutive l's or a 1 in the first and in the last position, and in which the vertices are adjacent when their Hamming distance is exactly 1. A Lucas cube 5E„ is very similar to the Fibonacci cube Tn which is the graph defined as 2J, except for the fact that the vertices are binary ...
BACKGROUND Mechanical chest compressions have been proposed to provide high-quality cardiopulmonary resuscitation (CPR), but despite the growing use of mechanical chest compression devices, only few studies have addressed their impact on CPR quality. This study aims to evaluate mechanical chest compressions provided by LUCAS-2 (Lund University Cardiac Assist System) compared with manual chest c...
and Applied Analysis 3 If p, 1/q ∈ Z, then solutions f : N0 → Z of the difference equation 1.7 are called the Lucas sequences see, e.g., 24 ; in some special cases they are given specific names; that is, the Fibonacci numbers p −1, q −1, f 0 0, and f 1 1 , the Lucas numbers p −1, q −1, f 0 2, and f 1 1 , the Pell numbers p −2, q −1, f 0 0, and f 1 1 , the Pell-Lucas or companion Lucas numbers p...
In this paper, we consider the relationships between the sums of the generalized order-k Fibonacci and Lucas numbers and 1-factors of bipartite graphs. 1. Introduction We consider the generalized order k Fibonacci and Lucas numbers. In [1], Er de ned k sequences of the generalized order k Fibonacci numbers as shown: g n = k X j=1 g n j ; for n > 0 and 1 i k; (1.1) with boundary conditions for 1...
Let N be any large integer. Proceeding directly to the factorization of N is not an easy task, even unfeasible unless N belongs to a particular family of integers. Then to surmount this major difficulty we might choose to ask about the factorization of an integer in a small neighborhood of N instead of N . This is expressed through the following question: Is there a small integer s such that N ...
BACKGROUND Mechanical chest compression devices have the potential to help maintain high-quality cardiopulmonary resuscitation (CPR), but despite their increasing use, little evidence exists for their effectiveness. We aimed to study whether the introduction of LUCAS-2 mechanical CPR into front-line emergency response vehicles would improve survival from out-of-hospital cardiac arrest. METHOD...
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