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Homogenization Theory for Multiscale Problems An introduction
The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media....
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Fundamental Groups of Three-Dimensional Small Covers
AbstractSmall covers arising from three-dimensional simple polytopes are an interesting class of 3-manifolds. The fundamental group is a rigid...
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A Procedural Approach for Configuration of Residential Activities Based on Users' Needs and Architectural Guidelines
Layout generation is one of the earliest and most effective steps in designing a residential plan because the layout determines the quality and...
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Metric Spaces Meet Groups
Studying the close connection between groups and geometry is a central concept in geometric group theory. Groups are equipped with metrics themselves... -
Dyck fundamental group on arcwise-connected polygon cycles
This paper introduces the Dyck fundamental group presentation of arcwise-connected polygon cycles resulting from invariant transforms that preserve...
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Punctual Structures and Primitive Recursive Reducibility
AbstractIn the paper we study punctual presentations of algebraic structures relative to arbitrary functional oracles. This is formalized via the...
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Center of the Yangian double in type A
We prove that the R-matrix and Drinfeld presentations of the Yangian double in type A are isomorphic. The central elements of the completed Yangian...
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Exceptional Dehn Surgeries on Some Infinite Series of Hyperbolic Knots and Links
We study closed connected orientable 3-manifolds obtained by Dehn surgery along the oriented components of a link, introduced and considered by...
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Linearity of free resolutions of monomial ideals
We study monomial ideals with linear presentation or partially linear resolution. We give combinatorial characterizations of linear presentation for...
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Stochastic Integration and Partial Differential Equations
We review the basic theory for stochastic integration in Hilbert space, and present results on the representation of multi-dimensional linear... -
Classes of Good Noetherian Rings
This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully... -
Preliminaries on Advanced Calculus
In this book we use the approach of the intrinsic differential calculus, which frequently saves time, space and gives clarity to the presentation.... -
Notation and Introductory Material
This is a synthetic presentation of basic notions in convex geometry, with corresponding elementary properties, such as: Minkowski addition;... -
Intersection theory on moduli of smooth complete intersections
We provide a general method for computing rational Chow rings of moduli of smooth complete intersections. We specialize this result in different...
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Fluids Under Control
This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control. Chapters are...
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The Dressing Field Method of Gauge Symmetry Reduction: Presentation and Examples
This paper is a presentation of a recent method of gauge symmetry reduction, distinct from the well-known gauge fixing, the bundle reduction theorem... -
Tietze Equivalences as Weak Equivalences
A given monoid usually admits many presentations by generators and relations and the notion of Tietze equivalence characterizes when two...
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Tables for the radii of the Sun, the Moon, and the shadow from John of Gmunden to Longomontanus
A table in five columns for the radii of the Sun, the Moon, and the shadow is included in sets of astronomical tables from the fifteenth to the early...
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Geometric Preliminaries
We assume that the reader is familiar with basic Riemannian geometryRiemannian geometrybasic definitions and we freely refer to [17] and in...