Results 21 to 30 of about 849,966 (288)
The density of discriminants of quintic rings and fields [PDF]
We determine, asymptotically, the number of quintic fields having bounded discriminant. Specifically, we prove that the asymptotic number of quintic fields having absolute discriminant at most X is a constant times X.
Bhargava, Manjul
core +1 more source
Optical Properties and Filtering Applications of Coaxial Gold Nanotube Ordered Array
In order to realize the multi-band tunable filtering of the metamaterial filter in the visible and near infrared bands, the ordered array of coaxial gold nanotubes is numerically simulated by using the Finite-Difference Time-Domain method. We investigate
Jian-xin CHENG +3 more
doaj +1 more source
Preparation and Application of Two-Dimensional Noble Metal Nanoparticle Ordered Arrays
Besides the surface plasmon resonance characteristic of noble metal nanoparticles, the two-dimensional(2 D)noble metal nanoparticle ordered arrays can generate new or enhanced optical properties with good stability and reproducibility due to their highly
MEN Dandan; XING Changchang; LI Wenjuan; ZHANG Honghua; LI Yue
doaj +1 more source
*-valuations and ordered *-fields [PDF]
We generalize elementary valuation theory to *-fields (division rings with involution), apply the generalized theory to the task of ordering *-fields, and give some applications to Hermitian forms.
openaire +2 more sources
Algebraic Solution of Tropical Polynomial Optimization Problems
We consider constrained optimization problems defined in the tropical algebra setting on a linearly ordered, algebraically complete (radicable) idempotent semifield (a semiring with idempotent addition and invertible multiplication).
Nikolai Krivulin
doaj +1 more source
Completeness of Ordered Fields and a Trio of Classical Series Tests
This article explores the fate of the infinite series tests of Dirichlet, Dedekind, and Abel in the context of an arbitrary ordered field. It is shown that each of these three tests characterizes the Dedekind completeness of an Archimedean ordered field;
Robert Kantrowitz, Michael M. Neumann
doaj +1 more source
Factorisation of germ-like series [PDF]
A classical tool in the study of real closed fields are the fields $K((G))$ of generalised power series (i.e., formal sums with well-ordered support) with coefficients in a field $K$ of characteristic 0 and exponents in an ordered abelian group $G$.
L'Innocente, Sonia, Mantova, Vincenzo
core +4 more sources
Factorisation theorems for generalised power series [PDF]
Fields of generalised power series (or Hahn fields), with coefficients in a field and exponents in a divisible ordered abelian group, are a fundamental tool in the study of valued and ordered fields and asymptotic expansions.
L'Innocente, Sonia, Mantova, Vincenzo
core +2 more sources
A Novel Approach toward Fuzzy Generalized Bi-Ideals in Ordered Semigroups
In several advanced fields like control engineering, computer science, fuzzy automata, finite state machine, and error correcting codes, the use of fuzzified algebraic structures especially ordered semigroups plays a central role.
Faiz Muhammad Khan +2 more
doaj +1 more source
Methodological integration in the study of religions
"Religions" constitute a field of study and accordingly "the study of religion (or religions)" is a discipline. What is a discipline, that is, in the scientific sense?
Michael Pye
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