Results 31 to 40 of about 137 (85)
Conformational ensembles of the disordered 4E‐BP2:eIF4E complex restrained by smFRET experiments
Protein Science, Volume 35, Issue 10, October 2026.Abstract Eukaryotic cap‐dependent translation initiation is regulated by binding of the predominantly folded eukaryotic initiation factor 4E (eIF4E) to the intrinsically disordered eIF4E binding proteins (4E‐BPs). Here, we report full‐length atomistic conformational ensembles generated by IDPConformerGenerator and optimized by X‐EISDv2 workflow for ...
Spencer Smyth +5 more
wiley +1 more source
Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization
Canadian Journal of Statistics, Volume 54, Issue 3, September 2026.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
wiley +1 more source
Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
MathematicsIn this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
doaj +1 more source
On the Products of k-Fibonacci Numbers and k-Lucas Numbers
International Journal of Mathematics and Mathematical Sciences, 2014 In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh +2 more
doaj +1 more source
Single‐Shot 2D Radial Echo Planar Imaging for Functional MRI
Magnetic Resonance in Medicine, Volume 96, Issue 3, Page 1245-1260, September 2026.ABSTRACT Purpose To develop a novel single‐shot radial echo planar imaging (ss‐rEPI) technique for rapid, distortion‐free brain imaging in functional MRI experiments. Methods Radial multi‐gradient echo (radial mGRE) data were acquired on a 3T clinical scanner using a 2D ss‐rEPI readout with small golden‐angle rotations between echoes.
Christoph A. Rettenmeier +4 more
wiley +1 more source
Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed +3 more
doaj +1 more source
On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
wiley +1 more source
Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence
Ratio MathematicaOne of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan +2 more
doaj +1 more source
The Fibonacci numbers of certain subgraphs of circulant graphs
AKCE International Journal of Graphs and Combinatorics, 2015 The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo +1 more
doaj +1 more source
Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.Harmony and rhythm perception are often studied separately, yet both reveal a shared sensitivity to low‐order integer ratios. In harmony, intervals like the octave (2:1) and fifth (3:2) predict consonance and ease of encoding. In rhythm, patterns with simple ratios (e.g., 2:1, 3:2) are easier to perceive, reproduce, and remember.
Nicola Di Stefano +2 more
wiley +1 more source