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Algebraic Preliminaries
This chapter brings in the ground algebraic material employed in the book. Based on elementary facts from matrices, deeper results are extracted from...
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General Solutions of First-Order Algebraic ODEs in Simple Constant Extensions
If a first-order algebraic ODE is defined over a certain differential field, then the most elementary solution class, in which one can hope to find a...
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Problems and related results in algebraic vision and multiview geometry
This article is a survey of results in algebraic vision and multiview geometry. The starting point is the study of projective algebraic varieties...
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Rotational and Translational Oscillations of Small-Aspect-Ratio Cylinders in an Air Flow
AbstractThe work considers the rotational and translational oscillations of three cylinders differing in terms of the ratio of the length to the...
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Sullivan’s Juvenilia: Surgery and Algebraic Topology
Dennis Sullivan’s early work, despite being strongly motivated by geometric problems, had a strong algebraic nature, certainly much more so than his...
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Algebraic Surgery
The main purpose of this chapter is to introduce a chain complex version of the L-groups and of the surgery obstructions and to identify them with...
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On algebraic twists with composite moduli
We study bounds for algebraic twists sums of automorphic coefficients by trace functions of composite moduli.
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An Improvement of the Newton Method for Solving Symmetric Algebraic Riccati Equations
In this work, we analyze a strategy for solving symmetric algebraic Riccati equation based on the use of efficient high-order iterative scheme. This...
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Smooth Rough Paths, Their Geometry and Algebraic Renormalization
We introduce the class of “smooth rough paths” and study their main properties. Working in a smooth setting allows us to discard sewing arguments and...
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K-theory and G-theory of derived algebraic stacks
These are some notes on the basic properties of algebraic K-theory and G-theory of derived algebraic spaces and stacks, and the theory of fundamental...
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Algebraic Approaches to the Analysis of Social Networks
This chapter reviews the use of algebraic approaches for understanding the interconnected nature of social relationships. It outlines the algebraic...
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Some properties of degenerate Sheffer sequences based on algebraic approach
The algebraic approach endeavor a dominant tool for investigating properties of special polynomials. The main objective of this paper is to survey...
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Buoyancy-driven algebraic (localised) boundary-layer disturbances
We show that a new class of steady linear eigenmodes exist in the Falkner–Skan boundary layer, associated with an algebraically develo**, thermally...
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An Abelian Ambient Category for Behaviors in Algebraic Systems Theory
We describe an abelian category \(\textbf{ab}(M)\) in which...
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A Universal Algebraic Set Theory Built on Mereology with Applications
Category theory is often treated as an algebraic foundation for mathematics, and the widely known algebraization of ZF set theory in terms of this...
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An algebraic characterisation of ample type I groupoids
We give algebraic characterisations of the type I and CCR properties for locally compact second countable, ample Hausdorff groupoids in terms of...
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On Existence and Uniqueness of Formal Power Series Solutions of Algebraic Ordinary Differential Equations
Given an algebraic ordinary differential equation (AODE), we propose a computational method to determine when a truncated power series can be...
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Algebraic characterizations of some relative notions of size
We obtain algebraic characterizations of relative notions of size in a discrete semigroup that generalize the usual combinatorial notions of...