Results 11 to 20 of about 1,475 (180)
Image-Derived Volumetry During Forced Expiration Using a 3D Fermat Looped, Orthogonally Encoded Trajectory. [PDF]
Magn Reson MedABSTRACT 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 ...
Scheidel S +6 more
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Dynamic sampling for SAXSTT: towards real-time measurement adaptation. [PDF]
J Synchrotron RadiatA dynamic sampling strategy is presented to reduce the measurement time required for SAXS tensor tomography while maintaining reconstruction quality.Small‐angle X‐ray scattering tensor tomography (SAXSTT) is a powerful technique for non‐destructive 3D characterization of nanoscale structures by reconstructing q‐resolved reciprocal space maps.
Wang S, Nielsen LC, Liebi M.
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An inequality for Fibonacci numbers
Mathematica Bohemica, 2022 Summary: We extend an inequality for Fibonacci numbers published by \textit{P. G. Popescu} and \textit{J. L. Díaz-Barrero} in [JIPAM, J. Inequal. Pure Appl. Math. 7, No. 2, Paper No. 41, 5 p. (2006; Zbl 1132.26011)].
Horst Alzer, Florian Luca
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On Fibonacci functions with Fibonacci numbers [PDF]
Advances in Difference Equations, 2012 Abstract In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R ,
Han, Jeong, Kim, Hee, Neggers, Joseph
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On generalized Fibonacci numbers [PDF]
Applied Mathematical Sciences, 2015 We provide a formula for the $n^{th}$ term of the $k$-generalized Fibonacci-like number sequence using the $k$-generalized Fibonacci number or $k$-nacci number, and by utilizing the newly derived formula, we show that the limit of the ratio of successive terms of the sequence tends to a root of the equation $x + x^{-k} = 2$.
Bacani, Jerico B. +1 more
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On the Inverse of a Fibonacci Number Modulo a Fibonacci Number Being a Fibonacci Number
Mediterranean Journal of Mathematics, 2023 Let $(F_n)_{n \geq 1}$ be the sequence of Fibonacci numbers. For all integers $a$ and $b \geq 1$ with $\gcd(a, b) = 1$, let $[a^{-1} \!\bmod b]$ be the multiplicative inverse of $a$ modulo $b$, which we pick in the usual set of representatives $\{0, 1, \dots, b-1\}$. Put also $[a^{-1} \!\bmod b] := \infty$ when $\gcd(a, b) > 1$.
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On Special Spacelike Hybrid Numbers
Mathematics, 2020 Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. A hyperbolic complex structure is frequently used in both pure mathematics and numerous areas of physics.
Anetta Szynal-Liana, Iwona Włoch
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A Study on Fibonacci and Lucas Bihypernomials
Discussiones Mathematicae - General Algebra and Applications, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
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On Distance (r,k)-Fibonacci Numbers and Their Combinatorial and Graph Interpretations
Journal of Applied Mathematics, 2015 We introduce three new two-parameter generalizations of Fibonacci numbers. These generalizations are closely related to k-distance Fibonacci numbers introduced recently. We give combinatorial and graph interpretations of distance (r,k)-Fibonacci numbers.
Dorota Bród
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Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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