9 citations · 19 across the 12 of their papers we have counts for
13 papers
A Graceful Basis in the Solution Space of an ODE with Constant Coefficients
Timur Sadykov
We revisit the classical problem of construction of a fundamental system of solutions to a linear ODE whose elements remain analytic and linearly independent for all values of the…
Parameterizing and inverting analytic mappings with unit Jacobian
Timur Sadykov
Let be a vector of complex variables, denote by a square matrix of size and let be an analytic fu…
Computing Rational Generating Function of a Solution to the Initial Value Problem of Two-dimensional Difference Equation with Constant Coefficients
Alexey A. Kytmanov, Alexander P. Lyapin, Timur M. Sadykov
Algorithms for computing rational generating functions of solutions of one-dimensional difference equations are well-known and easy to implement. We propose an algorithm for comput…
Amoeba-shaped polyhedral complex of an algebraic hypersurface
Mounir Nisse, Timur Sadykov
Given a complex algebraic hypersurface~, we introduce a polyhedral complex which is a subset of the Newton polytope of the defining polynomial for~ and enjoys the key topolog…
The Algorithmic Inflection of Russian and Generation of Grammatically Correct Text
T. M. Sadykov, T. A. Zhukov
We present a deterministic algorithm for Russian inflection. This algorithm is implemented in a publicly available web-service www.passare.ru which provides functions for inflectio…
Algorithmic computation of polynomial amoebas
D. V. Bogdanov, A. A. Kytmanov, T. M. Sadykov
We present algorithms for computation and visualization of amoebas, their contours, compactified amoebas and sections of three-dimensional amoebas by two-dimensional planes. We als…