Results 31 to 40 of about 122 (99)
Unrestricted Fibonacci and Lucas quaternions
Fundamental Journal of Mathematics and Applications, 2021 Many quaternion numbers associated with Fibonacci and Lucas numbers or even their generalizations have been defined and widely discussed so far. In all the studies, the coefficients of these quaternions have been selected from consecutive terms of these numbers.
Ahmet DAŞDEMİR, Göksal BİLGİCİ
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AxiomsIn this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions.
Can Kızılateş +3 more
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Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, we define the k-Fibonacci and the k-Lucas quaternions. We investigate the generating functions and Binet formulas for these quaternions. In addition, we derive some sums formulas and identities such as Cassini’s identity.
Ramírez José L.
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A quantum calculus framework for Gaussian Fibonacci and Gaussian Lucas quaternion numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn order to investigate the relationship between Gaussian Fibonacci numbers and quantum numbers and to develop both a deeper theoretical understanding in this study, q-Gaussian Fibonacci, q-Gaussian Lucas quaternions and polynomials are taken with ...
Bahar Kuloğlu
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British Journal of Clinical Pharmacology, EarlyView.Abstract Aim Mebendazole (MBZ), a benzimidazole anthelmintic with established clinical use, has emerged as a repurposing candidate for primary brain tumours due to its multimodal anticancer actions and central nervous system penetrance. This systematic review synthesizes preclinical and clinical evidence evaluating MBZ's efficacy, mechanisms of action ...
Ciara B. Blum +5 more
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Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization
Canadian Journal of Statistics, EarlyView.Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
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Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To enable MRI‐based nongated 3D depiction of forced expiration with both high spatio‐temporal resolution and fidelity of lung dynamics. Methods An undersampled 3D Fermat looped, orthogonally encoded trajectory (FLORET) was optimized for nonsegmented dynamic acquisitions during forced expiration and a corresponding model‐based ...
Sebastian Scheidel +6 more
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Style Brush: Guided Style Transfer for 3D Objects
Computer Graphics Forum, EarlyView.We introduce Style Brush, a guided 3D style‐transfer method for textured meshes that provides precise creative control. It supports the use of multiple style images, smooth transitions and intuitive guidance, producing visually appealing textures that follow user intent as we demonstrate in our user study and results. Abstract We introduce Style Brush,
Áron Samuel Kovács +2 more
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Journal of Science and Arts, 2021 In this paper, we define and study another interesting generalization of the Fibonacci quaternions is called k-order Fibonacci quaternions. Then we obtain for Fibonacci quaternions, for Tribonacci quaternions and for Tetranacci quaternions. We give generating function, the summation formula and some properties about k-order Fibonacci quaternions. Also,
Asci, Mustafa, Aydinyuz, Suleyman
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Scalable Computation of Topological Abstractions for Scalar Data
Computer Graphics Forum, EarlyView.Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will +6 more
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