Search Results - "Shchepin, E."

Summation of Unordered Arrays by Shchepin, E. V.

“…An approach to the summation of unordered number and matrix arrays based on ordering them by absolute value (greedy summation) is proposed. Theorems on…”
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The Leibniz Differential and the Perron–Stieltjes Integral by Shchepin, E. V.

“…We implement Leibniz’s idea about the differential as the length of an infinitesimally small elementary interval (a monad) in a form satisfying modern…”
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Lower Bounds for the Square-to-Linear Ratio for Plane Peano Curves by Shchepin, E. V., Mychka, E. Yu

“…It is proved that, for any map of the unit interval onto the unit square, there exist two points in the interval such that the squared Euclidean distance…”
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Convexity of Suns in Tangent Directions by Alimov, A. R., Shchepin, E. V.

“…A direction is called a tangent direction to the unit sphere if the conditions that and is a supporting line to at the point s imply that is a semitangent line…”
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Minimal Self-Similar Peano Curve of Genus 5 × 5 by Malykhin, Yu. V., Shchepin, E. V.

“…The paper presents a plane regular fractal Peano curve with a Euclidean square-to-line ratio ( L 2 -locality) of , which is minimal among all known curves of…”
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L∞-Locality of Three-Dimensional Peano Curves by Korneev, A. A., Shchepin, E. V.

“…A theory and corresponding algorithms are developed for fast and exact calculation of the L ∞ -locality (i.e., the greatest cube-to-linear ratio in the maximum…”
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Extending homeomorphisms on Cantor cubes by Shchepin, E., Valov, V.

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On homogeneity of Nτ by Karassev, A., Shchepin, E., Valov, V.

“…It is shown that any homeomorphism between two compact subsets of Nτ can be extended to an autohomeomorphism of Nτ…”
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TOPOLOGICAL TOMOGRAPHY IN CONVEXITY by MONTEJANO, L., SHCHEPIN, E.

“…The main theorem of this paper generalizes a classic Aumann's characterization of compact convex sets, via the acyclicity of their hypersections, to arbitrary…”
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Attainment of maximum cube-to-linear ratio for three-dimensional Peano curves by Shchepin, E. V.

“…The class of so-called q -adic Peano curves is defined, which is large enough to include the polyfractal curves. The cube-to-linear ratio for this class…”
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On the complexity of constructing multiprocessor little-preemptive schedules by Shchepin, E. V.

“…We present a full and correct proof of the fact that the problem of constructing an optimal schedule for the open shop problem with at most m − 3 preemptions…”
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Chain development of metric compacts by Malykhin, Yu.V., Shchepin, E.V.

“…Chain distance between points in a metric space is defined as the infimum of ε such that there is an ε-chain connecting these points. We call a mapping of a…”
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On Hölder maps of cubes by Shchepin, E. V.

“…A map of metric spaces f: X → Y satisfying the inequality for some C and α and all x, y ∈ X is called a Hölder map with exponent α . V. I. Arnold posed the…”
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On homogeneity of Cantor cubes by Shchepin, E, Valov, V

“…It is established that any homeomorphism between two closed negligible subset of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$…”
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Extending homeomorphisms on Cantor cubes by Shchepin, E, Valov, V

“…We discuss the question of extending homeomorphism between closed subsets of the Cantor discontinuum $D^\tau$. It is established that any homeomorphism $f$…”
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Chain development by Malykhin, Yu. V., Shchepin, E. V.

“…In a finite set X with distance, we introduce a so-called chain distance. This distance generates a partition of X into clusters such that any point inside…”
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Hausdorff dimension and the dynamics of diffeomorphisms by Schepin, E. V.

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On homogeneity of $\mathbb N^\tau by Karassev, A, Shchepin, E, Valov, V

“…It is shown that any homeomorphism between two compact subsets of $\mathbb N^\tau$ can be extended to an autohomeomorphism of $\mathbb N^\tau$…”
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Minimal Peano curve by Shchepin, E. V., Bauman, K. E.

“…A Peano curve p ( x ) with maximum square-to-linear ratio | p ( x )− p ( y )| 2 /| x − y | equal to 5 2/3 is constructed; this ratio is smaller than that of…”
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Local sections of Serre fibrations with 3-manifold fibers by Brodskiy, N., Chigogidze, A., Shchepin, E.V.

“…It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit…”
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