Results 61 to 70 of about 51,212 (178)
A contribution to the connections between Fibonacci Numbers and Matrix Theory [PDF]
, 2013 We present a lovely connection between the Fibonacci numbers and the sums of inverses of $(0,1)-$ triangular matrices, namely, a number $S$ is the sum of the entries of the inverse of an $n \times n$ $(n \geq 3)$ $(0,1)-$ triangular matrix iff $S$ is an ...
Berman, Abraham, Farber, Miriam
core
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Zarankiewicz bounds from distal regularity lemma
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley +1 more source
On Third-Order Bronze Fibonacci Numbers
Mathematics, 2021 In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbiyik, Jeta Alo
doaj +1 more source
The Magnetic Signature of Stress in Rocks
Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract Magnetic signatures preserved in rocks have long provided insight into Earth's evolution, revealing processes from plate tectonics to the habitability of Earth. While large impacts are known to impose extreme stresses (>1 GPa) and heat that fundamentally alters magnetic records, lower stresses typical of earthquakes have been considered ...
B. R. Kugabalan +8 more
wiley +1 more source
A Clarification on Quantum‐Metric‐Induced Nonlinear Transport
Advanced Science, Volume 13, Issue 7, 3 February 2026.How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang +4 more
wiley +1 more source
Quasiperiodicities in Fibonacci strings [PDF]
, 2012 We consider the problem of finding quasiperiodicities in a Fibonacci string. A factor u of a string y is a cover of y if every letter of y falls within some occurrence of u in y. A string v is a seed of y, if it is a cover of a superstring of y.
Christou, Michalis +2 more
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Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived.
Jorge Ballarín +2 more
wiley +1 more source
Dissipative processes at the acoustic horizon
New Journal of PhysicsA transonic fluid flow generates an acoustic hole that is the hydrodynamic analogue of a gravitational black hole (BH). Acoustic holes emit a detectable thermal radiation of phonons at a characteristic Hawking temperature. The crucial concept is that the
Maria Luisa Chiofalo +3 more
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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 2, February 2026.Abstract We present the first micromagnetic simulations for sub‐micron monoclinic 4C pyrrhotite (Fe7S8 ${\text{Fe}}_{7}{\mathrm{S}}_{8}$), a common mineral in rocks and sediments and an important mineral in paleomagnetic studies. Previous experimental studies on the magnetic properties of pyrrhotite had limited control over granulometry and focused ...
Wyn Williams +6 more
wiley +1 more source