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Epigenetic pacemaker: closed form algebraic solutions [PDF]
BMC Genomics, 2020 Background DNA methylation is widely used as a biomarker in crucial medical applications as well as for human age prediction of very high accuracy. This biomarker is based on the methylation status of several hundred CpG sites.
Sagi Snir
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A Note on Algebraic Solutions to Identification. [PDF]
J Math Sociol, 2010 Algebraic methods to establish the identification of structural equation models remains a viable option. However, sometimes it is unclear whether the algebraic solution establishes identification. One example is when there is more than one way to solve for the parameter, but one way leads to a single value and a second way leads to a function with more
Bollen KA, Bauldry S.
europepmc +4 more sources
Existence of Solutions for a Nonlinear Algebraic System [PDF]
Discrete Dynamics in Nature and Society, 2009 As well known, the existence and nonexistence of solutions for nonlinear algebraic systems are very important since they can provide the necessary information on limiting behaviors of many dynamic systems, such as the discrete reaction-diffusion ...
Guang Zhang, Liang Bai
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Hypergeometric Solutions of Some Algebraic Equations [PDF]
Theoretical and Mathematical Physics(Russian Federation), 2004 We give the hypergeometric solutions of some algebraic equations including the general fifth degree equation.
A M Perelomov
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Novel closed-form travelling wave solutions for space-time fractional coupled Boussinesq–Burger model using extended direct algebraic method [PDF]
Scientific ReportsThe nonlinear fractional partial differential equation known as the space-time fractional coupled Boussinesq-Burger equation (S TFcBBE) is examined in this work.
Taha Radwan +4 more
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On Algebraic Independence of Solutions of Generalized Hypergeometric Equations
Axioms, 2021 We present solutions for general theorems regarding algebraic independence of solutions of hypergeometric equation ensembles and the values of these solutions at algebraic points. The conditions of the theorems are necessary and sufficient.
Vasily Gorelov
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A general theory of André’s solution algebras [PDF]
Annales de l'Institut Fourier, 2021 We extend Yves André’s theory of solution algebras in differential Galois theory to a general Tannakian context. As applications, we establish analogues of his correspondence between solution fields and observable subgroups of the Galois group for iterated differential equations in positive characteristic and for difference equations.
Nagy, Levente, Szamuely, Tamás
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Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation [PDF]
Opuscula Mathematica, 2018 A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using ...
Mitsuo Kato +2 more
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Stochastic Runge–Kutta methods for multi-dimensional Itô stochastic differential algebraic equations
Results in Applied Mathematics, 2021 In this paper, we discuss the numerical solutions to index 1 stochastic differential algebraic equations. We introduce a new class of weak second-order stochastic Runge–Kutta methods for finding the numerical approximate solutions to multi-dimensional ...
Priya Nair, Anandaraman Rathinasamy
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Journal of Research and Advances in Mathematics Education, 2023 This study aimed to explore students’ creative thinking process in fifth- grade elementary school in fraction problem solving based on gender differences. Subjects consisted of one male and one female with high mathematical ability.
Septi Triyani +2 more
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