Results 71 to 80 of about 1,200,406 (213)

Fibonacci Numbers of Generalized Fibonacci Graphs

open access: yesMediterranean Journal of Mathematics
Abstract The Fibonacci number of a graph, introduced by Prodinger and Tichy, is defined as the total number of independent vertex sets, including the empty set, and it is closely related to the Merrifield–Simmons index in chemical graph theory.
Emrah Akyar, Handan Akyar
openaire   +1 more source

Closed forms for finite sums of weighted products of generalized Fibonacci numbers [PDF]

open access: yes, 2017
In this paper, we present closed forms for certain finite sums of weighted products of generalized Fibonacci numbers. Indeed, we present seven multi-parameter families of such finite sums, all of which we believe to be new. In each of these families, the
Melham, RS
core  

Some Fibonacci congruences with square moduli [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Fibonacci congruence with prime moduli have been extensively studied. Square moduli are obviously not prime numbers, so why study such congruences?
Anthony G. Shannon   +2 more
doaj   +1 more source

Renormalization techniques for inflation systems and some of their applications

open access: yesActa Crystallographica Section A, Volume 82, Issue 4, Page 294-304, July 2026.
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake   +4 more
wiley   +1 more source

Fragment‐Based Design of Targeted Covalent Inhibitors: The Scope and Limitation of Linking Approaches

open access: yesChemMedChem, Volume 21, Issue 10, 27 May 2026.
This paper by Kollár et al. reports a covalent fragment linking study against the SARS‐CoV‐2 main protease (3CLPro). Beginning with inactive fragment hits, the application of rational linker design enabled the generation of reversible covalent inhibitors exhibiting low micromolar potency. The study details some general limitations and best practices of
Levente Kollár   +8 more
wiley   +1 more source

Non‐Subtractive Arterial Spin Labeling‐Based (NSASL) Renal Magnetic Resonance Angiography (MRA): Development and Clinical Feasibility Evaluation

open access: yesJournal of Magnetic Resonance Imaging, Volume 63, Issue 5, Page 1435-1447, May 2026.
ABSTRACT Background Non‐contrast renal MR angiography (MRA) is valuable for patients who cannot receive contrast agents or when avoiding radiation is desired. However, the conventional inflow inversion recovery (IFIR) method is limited by incomplete background suppression, venous contamination, and motion sensitivity.
Yulin Wang   +13 more
wiley   +1 more source

More on combinations of higher powers of fibonacci numbers [PDF]

open access: yes, 2010
The Fibonacci Identity F n4-F n+14-F n+24-F n+34+F n+44=F 2n+42 belongs to a family of indentities where each indentity contains only one product of the right side. In this paper we give this family together with two other such familes. We also state two
Melham, RS
core  

Hyperbolic Fibonacci Sequence

open access: yesUniversal Journal of Mathematics and Applications, 2019
In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
doaj   +1 more source

The role of spreadsheets in an investigation of Fibonacci numbers [PDF]

open access: yes, 2013
We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising ...
Baker, John, Sugden, Stephen John
core  

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