Results 41 to 50 of about 1,231,297 (284)
Asymptotic Frame Fields of Rational Bézier Curves
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Tunahan Turhan +2 more
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FEBS Letters, EarlyView.Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
wiley +1 more source
Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
Journal of Mathematics, 2019 We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established.
Mujahid Abbas +2 more
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Mathematics, 2015 The correspondence between right triangles with rational sides, triplets of rational squares in arithmetic succession and integral solutions of certain quadratic forms is well-known.
Erich Selder, Karlheinz Spindler
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Noncommutative Rational Double Points
Journal of Algebra, 2000 Let \(k\) be an algebraically closed field of characteristic zero, let \(P=k\langle \langle u,v\rangle \rangle\) be the noncommutative power series ring in the two indeterminates \(u,v\), and \(r\in P\). Suppose that the leading term of \(r\) is quadratic with no linear factors. Then \(B=P/(r)\) is a regular ring of dimension two.
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
On the rational function field of real curves without real points
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 Let F be the field of rational functions of a real algebraic curve without real points. It is well-known that in F we can express -1 as a sum of two squares. We show that -1 is also a sum of four fourth powers, six sixth powers, and so on.
Manuel Ojanguren
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On fixed points of rational contractions in generalized parametric metric and fuzzy metric spaces
Journal of Inequalities and Applications, 2021 We introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for ( α , ψ ) $(\alpha ,\psi )$ -rational-type contractive mappings in generalized parametric ...
Thounaojam Stephen +5 more
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Remarks on endomorphisms and rational points
, 2010 Let X be a variety over a number field and let f: X --> X be an "interesting" rational self-map with a fixed point q. We make some general remarks concerning the possibility of using the behaviour of f near q to produce many rational points on X.
Arnold +13 more
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Some aspects of rational points and rational curves
, 2023 Various methods have been used to construct rational points and rational curves on rationally connected algebraic varieties. We survey recent advances in two of them, the descent and the fibration method, in a number-theoretical context (rational points over number fields) and in an algebro-geometric one (rational curves on real varieties), and discuss
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