Euclid’s Algorithm over Rings – The Theory of Subresultants Euclid’s algorithm, as described in the previous lecture, works well when the coefficients of the input polynomials A, B, belong to a field F . There are

Source URL: www.imsc.res.in

• Mathematics
• Euclidean algorithm
• Polynomial ring
• Polynomial
• Computer algebra
• Abstract algebra
• Algebra
• Polynomials

CLASS GROUPS OF DIHEDRAL EXTENSIONS FRANZ LEMMERMEYER Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we w

Source URL: www.fen.bilkent.edu.tr

• Frobenius group
• Field extension
• Normal extension
• Algebraic number theory
• Class field theory
• Galois theory
• Discriminant of an algebraic number field
• Abstract algebra
• Field theory
• Algebra

SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law

Source URL: www.fen.bilkent.edu.tr

• Algebraic number theory
• Modular arithmetic
• Quadratic residue
• Class field theory
• Quadratic reciprocity
• Reciprocity law
• Selmer group
• Algebraic number field
• Artin reciprocity law
• Abstract algebra
• Mathematics
• Number theory

Universit¨ at Augsburg Lehrstuhl f¨ ur Algebra und Zahlentheorie Universit¨ atsstraße 14

Source URL: www.math.uni-augsburg.de

Universit¨at Augsburg Lehrstuhl f¨ ur Algebra und Zahlentheorie Universit¨atsstraße[removed]Augsburg

Source URL: www.math.uni-augsburg.de

ENLARGEABILITY AND INDEX THEORY B. Hanke and T. Schick Abstract Let M be a closed enlargeable spin manifold. We show nontriviality of the universal index obstruction in the K-theory of the maximal C ∗ -algebra of the f

Source URL: www.math.uni-augsburg.de

• Algebraic topology
• Fiber bundles
• Differential topology
• Differential geometry
• Connection
• Vector bundle
• Connection form
• Holonomy
• Tangent space
• Topology
• Mathematical analysis
• Mathematics

Principal Component Analysis (PCA) R E D U C E T H E N U M B E R O F D I M E N S I O N S O F T H E D ATA When faced with a moderate or large number of columns but a significant amount of correlation between variables, PC

Source URL: www.1010data.com

• Data analysis
• Multivariate statistics
• Singular value decomposition
• Matrix theory
• Principal component analysis
• Eigenvalues and eigenvectors
• Covariance matrix
• Variance
• Power iteration
• Algebra
• Statistics
• Linear algebra

Course Placement Guidelines Developmental Arithmetic Track Majors that Do Not Require College Algebra or Other Higher Math ACT Math Subscore CPT CPT

Source URL: www.uco.edu

• Placement testing
• F-algebra

UNRAMIFIED DEGREE THREE INVARIANTS OF REDUCTIVE GROUPS A. MERKURJEV Abstract. We prove that if G is a reductive group over an algebraically closed field F , then for a prime integer p 6= char(F ), the group of unramified

Source URL: www.math.uni-bielefeld.de

• Group theory
• Class field theory
• Galois module
• Galois theory
• Group homomorphism
• Representation theory
• Étale morphism
• Essential dimension
• Gelfand pair
• Abstract algebra
• Algebra
• Algebraic number theory

Optimal Approximation of Elliptic Problems II: Wavelet Methods Stephan Dahlke, Erich Novak, and Winfried Sickel 1. Introduction. We study the optimal approximation of the solution of an operator equation A(u) = f,

Source URL: drops.dagstuhl.de

• Operator theory
• Linear algebra
• Differential operators
• Multivariable calculus
• Partial differential equation
• Hilbert space
• Elliptic operator
• Wavelet
• Differential equation
• Calculus
• Mathematical analysis
• Mathematics