scholarly journals Fine-structure classification of multiqubit entanglement by algebraic geometry

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Masoud Gharahi ◽  
Stefano Mancini ◽  
Giorgio Ottaviani
Keyword(s):  
Algebraic Geometry ◽  
Fine Structure

scholarly journals Multiplicity-Free Schubert Calculus

2010 ◽  
Vol 53 (1) ◽  
pp. 171-186 ◽  
Author(s):  
Hugh Thomas ◽  
Alexander Yong
Keyword(s):  
Algebraic Geometry ◽  
Schubert Calculus ◽  
Chow Ring ◽  
Free Products ◽  
Linear Basis ◽  
Combinatorial Classification ◽  
Schubert Classes ◽  
Multiplicity Free

AbstractMultiplicity-free algebraic geometry is the study of subvarieties Y ⊆ X with the “smallest invariants” as witnessed by a multiplicity-free Chow ring decomposition of [Y] ∈ A*(X) into a predetermined linear basis.This paper concerns the case of Richardson subvarieties of the Grassmannian in terms of the Schubert basis. We give a nonrecursive combinatorial classification of multiplicity-free Richardson varieties, i.e., we classify multiplicity-free products of Schubert classes. This answers a question of W. Fulton.

scholarly journals A Complete Classification of 3-dimensional Quadratic AS-regular Algebras of Type EC

2020 ◽  
pp. 1-19
Author(s):  
Masaki Matsuno
Keyword(s):  
Algebraic Geometry ◽  
Complete Classification ◽  
Complete List ◽  
Graded Algebra ◽  
Regular Algebra ◽  
3 Dimensional ◽  
Noncommutative Algebraic Geometry ◽  
Regular Algebras ◽  
Point Scheme

Abstract Classification of AS-regular algebras is one of the main interests in noncommutative algebraic geometry. We say that a $3$ -dimensional quadratic AS-regular algebra is of Type EC if its point scheme is an elliptic curve in $\mathbb {P}^{2}$ . In this paper, we give a complete list of geometric pairs and a complete list of twisted superpotentials corresponding to such algebras. As an application, we show that there are only two exceptions up to isomorphism among all $3$ -dimensional quadratic AS-regular algebras that cannot be written as a twist of a Calabi–Yau AS-regular algebra by a graded algebra automorphism.

scholarly journals Study of phase composition and defective state of the gradient structures of borated steels 45 and 5ХНВ

2020 ◽  
pp. 46-57
Author(s):  
B.D. Lygdenov ◽  
A.M. Guriev ◽  
S. Mei ◽  
V.I. Mosorov ◽  
Q. Zheng
Keyword(s):  
Fine Structure ◽  
Phase Composition ◽  
Phase Analysis ◽  
Quantitative Assessment ◽  
Gradient Structure ◽  
X Rays ◽  
Mechanism Of Formation

The article reveals methods of electronic diffraction and raster microscopy and a method of X-rays analysis, which study gradient structure of steels 45 and 5ХНВ borated with saturated coatings. The quantitative assessment of the fine structure of steels and phase analysis of distancing from the borated surface are worked out. The classification of the layers of the gradient structure and the mechanism of formation of phases are given in the article.

AN ELECTRON MICROSCOPE STUDY OF THIN SECTIONS OF HAEMOPHILUS VAGINALIS (GARDNER AND DUKES) AND SOME POSSIBLY RELATED SPECIES

1966 ◽  
Vol 12 (6) ◽  
pp. 1125-1136 ◽  
Author(s):  
Alice Reyn ◽  
A. Birch-Andersen ◽  
S. P. Lapage
Keyword(s):  
Cell Wall ◽  
Fine Structure ◽  
Electron Microscope ◽  
Lactobacillus Acidophilus ◽  
Related Species ◽  
Electron Microscope Study ◽  
Similar Degree ◽  
Gram Positive ◽  
Thin Sections

The line structure of Haemophilus vaginalis (Gardner and Dukes 1955) was compared with that of four, possibly related species (Butyribacterium rettgeri, Corynebacterium diphtheriae var. mitis, Lactobacillus acidophilus, Haemophilus influenzae) and an unrelated species, Neisseria haemolysans, which had shown a similar degree of Gram-variability as that of H. vaginalis. Although H. vaginalis was first described as a Gram-negative rod, its fine structure, particularly that of cell wall and septa, was more like that of Gram-positive organisms. Also N. haemolysans had a fine structure close to that of Gram-positive organisms, and its typical Gram-positive cell wall varied in. thickness from one cell to another.The study did not solve the problem of the classification of the so-called H. vaginalis, but the appearance of the few strains studied in the electron microscope suggests that it: should be included in Corynebacterium or Butyribacterium rather than in Lactobacillus.

scholarly journals The Distribution of 1/a in Photographic Meteor Orbits

1971 ◽  
Vol 13 ◽  
pp. 175-181 ◽  
Author(s):  
B. A. Lindblad
Keyword(s):  
Fine Structure ◽  
Major Axis ◽  
Semi Major Axis ◽  
Detailed Classification ◽  
Kirkwood Gaps ◽  
Photographic Meteor Orbits

A study is made of the distribution of reciprocal semi-major axis in photographic meteor orbits. A detailed classification of the orbits is made according to quality. The distribution of 1/a in precise orbits is multimodal with two broad maxima approximately centered on 0.05 and 0.40 (AU)-1. Minima in the distribution appear near 0.20 and 0.66 (AU)-1 corresponding to Jupiter’s and Mars’ position in the 1/a, diagram. Considerable fine structure appears in the 1/a distribution. Resonance gaps corresponding to commensurabilities with Jupiter are detected. The gaps are similar to the well studied Kirkwood gaps in the asteroid beli.

CHOOSEY HOT SAND: REFLECTION OF GRAIN SENSITIVITY ON PATTERN MORPHOLOGY

2000 ◽  
Vol 11 (01) ◽  
pp. 47-68 ◽  
Author(s):  
ANDREW ADAMATZKY
Keyword(s):  
Fine Structure ◽  
Pattern Formation ◽  
Discrete Space ◽  
Global Parameter ◽  
Transient Phenomena ◽  
One Dimensional ◽  
Nonstandard Model ◽  
Current Node ◽  
Dimensional Parameters

We build and investigate a nonstandard model of pattern formation in a system of discrete entities evolving in discrete space and time. We chose a sandpile paradigm to fit our ideas in the frame of current research. In our model sand is hot because a grain can topple against gradient, i.e., the grain can walk to another node even when a number of grains in its current node is less than a number of neighboring nodes. Sand is choosey because behavior of the grains is not determined by any global parameter or any threshold of a number of neighboring grains (called here a grain sensitivity) but depends on the exact number of grains in the neighboring nodes. Namely, we assume that a grain being at a node x goes to one of the eight neighboring nodes, chosen at random, if there is another grain at the node x or if the number of grains in eight neighboring nodes lies in some set of 2{1,…,8}. These 256 rules of sensitivity are investigated. The classification of the rules if offered, based on the morphology of the patterns generated by each rule. Eight morphological classes are found. Fine structure of every class is investigated and transient phenomena are analyzed. Three kinds of description of class rules by Boolean expressions are offered. Evolution of the classes governed by several one-dimensional parameters is considered.

Fine structure and classification of shrimp hemocytes

1985 ◽  
Vol 185 (3) ◽  
pp. 339-348 ◽  
Author(s):  
Gary G. Martin ◽  
Brenda L. Graves
Keyword(s):  
Fine Structure

Neurosurgical desmoid tumors

1979 ◽  
Vol 50 (6) ◽  
pp. 725-732 ◽  
Author(s):  
Reinhard L. Friede ◽  
Anita Pollak
Keyword(s):  
Fine Structure ◽  
The Other ◽  
Differential Diagnoses ◽  
Desmoid Tumors ◽  
Content Type ◽  
The Family ◽  
Fine Print

✓ Four neurosurgical tumors of desmoid appearance are presented, along with a brief review of the differential diagnoses of intracranial or spinal fibromatous or desmoid lesions. Two of the tumors were identified as extremely collagenized meningiomas by their typical fine structure. The classification of the other two tumors remains uncertain, but they were thought to belong to the family of desmoid tumors.

The Applications of Group Theory

2012 ◽  
Vol 430-432 ◽  
pp. 1265-1268
Author(s):  
Xiao Qiang Guo ◽  
Zheng Jun He
Keyword(s):  
Number Theory ◽  
Algebraic Geometry ◽  
Group Theory ◽  
Algebraic Number ◽  
Algebraic Topology ◽  
Polynomial Equation ◽  
Algebraic Number Theory ◽  
Simple Groups ◽  
Finite Simple Groups

Since the classification of finite simple groups completed last century, the applications of group theory are more and more widely. We first introduce the connection of groups and symmetry. And then we respectively introduce the applications of group theory in polynomial equation, algebraic topology, algebraic geometry , cryptography, algebraic number theory, physics and chemistry.

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