Results 91 to 100 of about 242,259 (303)
The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences [PDF]
, 2014 Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.Comment: 23 ...
Ballot, Christian
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On Lucas Sequences Computation
Int'l J. of Communications, Network and System Sciences, 2010 This paper introduces an improvement to a currently published algorithm to compute both Lucas "sister" sequences Vk and Uk. The proposed algorithm uses Lucas sequence properties to improve the running time by about 20% over the algorithm published in [1].
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Advanced Science, EarlyView.LincNEAT1 Encoded‐NEAT1‐31 micropeptide directly binds with Aurora‐A and enhanced AKT pathways to pormotes phagocytosis against multi cancer cells. Abstract Macrophages play vital roles in innate and adaptive immunity, and their essential functions are mediated by phagocytosis and antigen presentation.
Jie Li +8 more
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ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS [PDF]
Journal of the Korean Mathematical Society, 2005 The sequences \(\{U_n\}_{n\geq 0}\) and \(\{V_n\}_{n\geq 0}\) are introduced by recurrence relations: \[ \begin{aligned} U_n &= (q- 2)(U_{n-2}- U_{n-4},\;n\geq 4,\\ V_n &= (q-2) V_{n-2}- V_{n-4},\;n\geq 4\end{aligned} \] with initial conditions \(U_0= 0\), \(U_1= 1\), \(U_2= 1\), \(U_4= q- 1\), \(V_0= 2\), \(V_1= 1\), \(V_2= q-1\), where \(q\geq 5\) is
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Generalized Fibonacci-Lucas Sequence [PDF]
Turkish Journal of Analysis and Number Theory, 2014 The Fibonacci sequence is a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field.
Bijendra Singh +2 more
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Advanced Science, EarlyView.This study defines the structure, mechanics, and mechanobiology of the fibrocartilage pericellular matrix (PCM) using the murine meniscus, showing how collagen V deficiency alters PCM properties and disrupts cell mechanosensitive signaling. Findings emphasize the critical role of PCM in fibrocartilage mechanobiology and suggest targeting it can enhance
Chao Wang +13 more
wiley +1 more source
The power sum of balancing polynomials and their divisible properties
AIMS MathematicsIn recent years, many scholars have studied the division properties of polynomials and sequence power sums. In this paper, we use Girard-Waring formula and combinatorial method to study the power sum problem of balancing polynomials and Lucas-balancing ...
Hong Kang
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Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
, 2014 In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
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Engineered Cas12j‐8 is a Versatile Platform for Multiplexed Genome Modulation in Mammalian Cells
Advanced Science, EarlyView.Engineered through structure‐guided protein engineering, enCas12j‐8 significantly enhances the editing efficiency of compact Cas12j‐8 while maintaining high specificity. It enables efficient multiplexed genome editing and base editing using a single crRNA array, demonstrating broad applicability and therapeutic potential in genome engineering ...
Ru Meng +14 more
wiley +1 more source
On the equilibrium in a discrete-time Lucas Model [PDF]
In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing.
Marius Boldea
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