Results 211 to 220 of about 683 (232)

Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory

2001
We describe three algorithms in algebraic geometry, coding theory and singularity theory, which are new, resp. have new ingredients. Moreover, we put special emphasis on their implementation in the computer algebra system Singular. The first algorithm computes the normalization of an affine reduced ring, an ideal defining the non-normal locus and, as ...
G.-M. Greuel, C. Lossen, M. Schulze
openaire   +1 more source

Algebraic geometry of singular learning machines and symmetry of generalization and training errors

Neurocomputing, 2005
A lot of hierarchical learning machines such as neural networks and normal mixtures are singular learning machines. In such a learning machine, the likelihood function cannot be approximated by any quadratic form, resulting that the conventional statistical theory does not hold.
openaire   +1 more source

Differential geometry “in the large” of plane algebraic curves and integral formulas for invariants of singularities

Journal of Mathematical Sciences, 1998
See the review in Zbl 0884.14027.
openaire   +2 more sources

Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving

2001
Although computer algebra is a research field in its own, its main driving force comes from various fields of applications. These applications range from mathematics and computer science over physics and engineering up to applications to technical and industrial problems.
openaire   +1 more source

SINGULAR-1.0: a computer algebra system for singularity theory, algebraic geometry and commutative algebra

ACM SIGSAM Bulletin, 1997
Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann   +2 more
openaire   +1 more source

On the Convergence Rate of Clenshaw–Curtis Quadrature for Jacobi Weight Applied to Functions with Algebraic Endpoint Singularities

Symmetry, 2020
Shuhuang Xiang, Suliman Khan
exaly  

The topology of normal singularities of an algebraic surface and a criterion for simplicity

Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques, 1961
Mumford David
exaly  

On singularities of real algebraic sets and applications to kinematics

Open Mathematics, 2020
exaly  

Singularities on complete algebraic varieties

Central European Journal of Mathematics, 2006
Bruno De Oliveira, Fedor Bogomolov, Paolo Cascini   +2 more
exaly  

Generalised Thurston-Bennequin invariants for real algebraic surface singularities

Manuscripta Mathematica, 2005
Ferit ÖZTÜRK
exaly