Boolean Operations using Generalized Winding Numbers Alec Jacobson Columbia University Abstract

Source URL: arxiv.org

• 3D computer graphics
• Mesh generation
• Triangle geometry
• Algebraic topology
• Complex analysis
• Winding number
• Triangle mesh
• Triangle

Monodromy and the Tate conjecture-1 Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families A. Johan de Jong and Nicholas M. Katz Introduction We use results of Deligne on …-adic monodromy

Source URL: web.math.princeton.edu

• Algebraic geometry
• Tate conjecture
• Projective variety
• Algebraic number field
• Ample line bundle
• Elliptic curve
• Cohomology
• Smooth scheme
• Monodromy
• Lefschetz hyperplane theorem
• Picard group
• Hodge conjecture

Continued Fractions and Pell’s Equation Max Lahn Jonathan Spiegel May 2, 2016 Abstract

Source URL: davidlowryduda.com

• Mathematics
• Mathematical analysis
• Continued fractions
• Elementary mathematics
• Number theory
• Algebraic numbers
• Periodic continued fraction
• Euclidean algorithm
• Number
• Pi
• Square root
• Quadratic irrational number

Fast Computation of Gauss Sums and Resolution of the Root of Unity Ambiguity Dang Khoa Nguyen Division of Mathematical Sciences School of Physical & Mathematical Sciences Nanyang Technological University

Source URL: www.ntu.edu.sg

• Polynomials
• Cyclotomic fields
• Field theory
• Algebraic numbers
• Algebraic number theory
• Gaussian period
• Quadratic Gauss sum
• Cyclotomic polynomial
• Root of unity
• Polynomial ring
• Algebraic integer
• Algebraic number field

ALGEBRAIC STRUCTURE AND DEGREE REDUCTION Let S ⊂ Fn . We define deg(S) to be the minimal degree of a non-zero polynomial that vanishes on S. We have seen that for a finite set S, deg(S) ≤ n|S|1/n . In fact, we can sa

Source URL: math.mit.edu

• Mathematics
• Mathematical analysis
• Algebra
• Polynomials
• Transcendental numbers
• Diophantine approximation
• Coding theory
• Algebraic function
• Elliptic curve

Institut f¨ ur Mathematik Arbeitsgruppe Allgemeine Algebra und Diskrete Mathematik Arborescent Numbers: Higher Arithmetic Operations and Division Trees

Source URL: eretrandre.org

• Abstract algebra
• Functional analysis
• Algebraic structures
• Binary operations
• Exponentials
• Exponentiation
• F-algebra
• Algebra over a field
• Associative property
• Function
• Homomorphism
• Semigroup

Tackling Fibonacci words puzzles by finite countermodels Alexei Lisitsa1 Department of Computer Science, The University of Liverpool

Source URL: cgi.csc.liv.ac.uk

• Mathematics
• Logic
• Mathematical logic
• Model theory
• Fibonacci numbers
• Algebraic structures
• Semigroup theory
• Fibonacci word
• First-order logic
• Semigroup
• Interpretation
• Combinatory logic

Iterated Spectra of Numbers — Elementary, Dynamical, and Algebraic Approaches by Vitaly Bergelson, Neil Hindman, and Bryna Kra Abstract. IP* sets and central sets are subsets of N which arise out of applications of top

Source URL: www.math.northwestern.edu

, UQAM Finite reflection groups q, t-Fuß-Catalan numbers for real reflection groups Algebraic Combinatorics – the extended Shi arrangement Combinatorial Algebra – rational Cherednik algebras

Source URL: www.mathstat.dal.ca

COMPLEX NUMBERS WITH BOUNDED PARTIAL QUOTIENTS WIEB BOSMA AND DAVID GRUENEWALD Abstract. Conjecturally, the only real algebraic numbers with bounded partial quotients in their regular continued fraction expansion are rat

Source URL: www.math.ru.nl

• Mathematics
• Mathematical analysis
• Algebraic numbers
• Continued fractions
• Number theory
• Partial fractions
• Transcendental number
• Quadratic irrational number
• Fraction
• Gaussian integer
• Partial fraction decomposition
• Pi