Results 1 to 10 of about 2,878,272 (172)
Percolation in protein sequence space. [PDF]
PLoS ONE, 2017 The currently known protein sequences are not distributed equally in sequence space, but cluster into families. Analyzing the cluster size distribution gives a glimpse of the large and unknown extant protein sequence space, which has been explored during
Patrick C F Buchholz +2 more
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The scale-free nature of protein sequence space. [PDF]
PLoS ONE, 2018 The sequence space of five protein superfamilies was investigated by constructing sequence networks. The nodes represent individual sequences, and two nodes are connected by an edge if the global sequence identity of two sequences exceeds a threshold ...
Patrick C F Buchholz +2 more
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Mathematics, 2023 In the current contribution, an appropriate quantity connected to the space of all convergent sequences is provided and shown to be a measure of noncompactness in a Banach space.
Ahmed Salem +2 more
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New Banach Sequence Spaces Defined by Jordan Totient Function
Communications in Advanced Mathematical Sciences, 2023 In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
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Applications of uniform boundedness principle to matrix transformations
Karpatsʹkì Matematičnì Publìkacìï, 2023 Using the uniform boundedness principle of Maddox, we characterize matrix transformations from the space $(\ell_{p}) _{T}$ to the spaces $m(\phi )$ and $n(\phi )$ for the case $1\leq p\leq \infty$, which correspond to bounded linear operators.
M.A. Sarıgöl
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A unified view of low complexity regions (LCRs) across species
eLife, 2022 Low complexity regions (LCRs) play a role in a variety of important biological processes, yet we lack a unified view of their sequences, features, relationships, and functions.
Byron Lee +2 more
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Fractal and Fractional, 2021 In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem +2 more
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Fractional Cesàro Matrix and its Associated Sequence Space
Concrete Operators, 2021 In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
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On The Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣
Eurasian Journal of Science and Engineering, 2023 In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣 ...
Orhan Tug
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On the fine spectra of the generalized difference operator $\Delta_{uv}$ over the sequence space $c_0$ [PDF]
Journal of Mahani Mathematical Research, 2012 The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator $\Delta_{uv}$ over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator $\Delta_{uv}$ of
Javad Fathi, Rahmatollah Lashkaripour
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