Results 51 to 60 of about 11,668,875 (322)
The classification and representations of ternary quadratic forms with level $ 8N $
AIMS MathematicsIn this paper, we investigated positive definite ternary quadratic forms of level $ 8N $, where $ N $ is an odd positive squarefree integer. Our study makes two main contributions.
Yifan Luo, Haigang Zhou
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Revstat Statistical Journal, 2013 This paper provides an accessible methodology for approximating the distribution of a general linear combination of non-central chi-square random variables. Attention is focused on the main application of the results, namely the distribution of positive
Hyung-Tae Ha
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Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
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Intersecting semi-disks and the synergy of three quadratic forms
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study the Diophantine equation x2 = n2 + mn + np + 2mp with m, n, p, and x being natural numbers. This equation arises from a geometry problem and it leads to representations of primes by each of the three quadratic forms: a2 + b2, a2 +
Ionaşcu Andrew D.
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On certain relations among the generating functions for certain quadratic forms [PDF]
Notes on Number Theory and Discrete MathematicsThe object of this article is to establish the relation between the generating function of the quadratic form 2m²+2mn+3n² and the generating functions for the quadratic forms m²+mn+n², m²+mn+2n², m²+mn+4n² and 2m²+mn+2n².
K. R. Vasuki, P. Nagendra
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LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
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Some functional equations connected with quadratic forms
Journal of Numerical Analysis and Approximation Theory, 1990 Not available.
I. Corovei
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Thrombolytic proteins profiling: High‐throughput activity, selectivity, and resistance assays
FEBS Open Bio, EarlyView.We present optimized biochemical protocols for evaluating thrombolytic proteins, enabling rapid and robust screening of enzymatic activity, inhibition resistance, and fibrin affinity, stimulation, and selectivity. The outcome translates to key clinical indicators such as biological half‐life and bleeding risk. These assays streamline the development of
Martin Toul +3 more
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ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
Проблемы анализа, 2016 In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with ...
E. L. Shishkina
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Analogues of the Ramanujan--Mordell Theorem
, 2016 The Ramanujan--Mordell Theorem for sums of an even number of squares is extended to other quadratic forms and quadratic ...
Cooper, Shaun, Kane, Ben, Ye, Dongxi
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