Reduction of Feynman integrals in the parametric representation II: reduction of tensor integrals. [PDF]
Chen W.
europepmc +1 more source
Gröbner Bases and Syzygy Modules
The theory of Gröbner bases has become a useful tool in computational commutative algebra. In this paper, we outline some basic results, as they are found in [1], including the concepts of terms ordering, multivariable polynomial division, Gröbner bases,
Zhao, Yonggan
core
Comprehensive analysis of mutational signatures reveals distinct patterns and molecular processes across 27 pediatric cancers. [PDF]
Thatikonda V +14 more
europepmc +1 more source
On the first fall degree of summation polynomials
We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.
Kousidis Stavros, Wiemers Andreas
doaj +1 more source
Prevalence of germline pathogenic variants in 22 cancer susceptibility genes in Swedish pediatric cancer patients. [PDF]
von Stedingk K +10 more
europepmc +1 more source
El rol del orden monomial lexicográfico en la Teoría de Bases de Gröbner
Este artículo de revisión bibliográfica ofrece una amplia exploración del rol del orden monomial lexicográfico en la teoría de bases de Gröbner.
Francis Nohelia Tercero Cruz +2 more
doaj +1 more source
HUBO and QUBO models for prime factorization. [PDF]
Jun K, Lee H.
europepmc +1 more source
Generation of all randomizations using circuits. [PDF]
Pesce E +3 more
europepmc +1 more source
Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. [PDF]
Giunta V, Hillen T, Lewis MA, Potts JR.
europepmc +1 more source
On Solving The Systems of Algebraic Equations Using Gröbner Bases
Described and proved the algorithm for finding some solution of algebraic equations over arbitrary field k for zero dimension ideals if Gröbner basis of this ideal over lexicographic order is given.
Alexander Shokurov
doaj

