scholarly journals Classification of small class association schemes coming from certain combinatorial objects

2005 ◽  
Author(s):  
Joohyung Kim
Keyword(s):  
Association Schemes ◽  
Small Class ◽  
Combinatorial Objects

scholarly journals On some recent progress in the classification of $$(P\hbox { and }Q)$$-polynomial association schemes

2019 ◽  
Author(s):  
Alexander L. Gavrilyuk ◽  
Jack H. Koolen
Keyword(s):  
Symmetric Spaces ◽  
Recent Progress ◽  
Association Schemes ◽  
Compact Symmetric Spaces ◽  
Expository Paper

AbstractThe problem of classification of $$(P\hbox { and }Q)$$(PandQ)-polynomial association schemes, as a finite analogue of E. Cartan’s classification of compact symmetric spaces, was posed in the monograph “Association schemes” by E. Bannai and T. Ito in the early 1980s. In this expository paper, we report on some recent results towards its solution.

Teachers' Self-Disclosure Sought by College Students

1985 ◽  
Vol 60 (3) ◽  
pp. 783-787 ◽  
Author(s):  
Madeline L. Simpson ◽  
Freda McCombs ◽  
Ellery Sedgwick ◽  
Rosemary Sprague
Keyword(s):  
College Students ◽  
Interpersonal Relationships ◽  
Size Effects ◽  
Classroom Behavior ◽  
Cultural Norms ◽  
Grading Practices ◽  
Small Class ◽  
Self Disclosure ◽  
Personal Traits

Students in Psychology, English, and Natural Science were invited to submit questions for information deemed by them pertinent to success in a course. A 13-category classification of the 1030 items collected from 194 students showed dominance of personal and teacher-related questions. Mean number of questions for upper classmen were consistently lower than those for lower classmen, this being interpreted as a normative and developmental tendency. Types of questions were restricted to cultural norms that centered on personal traits, interests, attitudes, opinions, and work of the target person, rather than on interpersonal relationships, morality, sex, and personal concerns. Analysis of class-size effects indicated that students attending a large class asked significantly more questions than those attending a small class in one of the four categories assessed, grading practices. Lower classmen tended to ask more questions about acceptable classroom behavior than upper classmen.

scholarly journals Classification of association schemes of small order

2003 ◽  
Vol 264 (1-3) ◽  
pp. 75-80 ◽  
Author(s):  
A. Hanaki ◽  
I. Miyamoto
Keyword(s):  
Association Schemes

scholarly journals Estimates of antipodal sets in oriented real Grassmann manifolds

2015 ◽  
Vol 26 (06) ◽  
pp. 1541008 ◽  
Author(s):  
Hiroyuki Tasaki
Keyword(s):  
Combinatorial Problem ◽  
Grassmann Manifolds ◽  
Combinatorial Objects

We estimate the cardinalities of antipodal sets in oriented real Grassmann manifolds of low ranks. The author reduced the classification of antipodal sets in oriented real Grassmann manifolds to a certain combinatorial problem in a previous paper. So we can reduce estimates of the antipodal sets to those of certain combinatorial objects. The sequences of antipodal sets we obtained in previous papers show that the estimates we obtained in this paper are the best.

scholarly journals Complex manifolds with maximal torus actions

2019 ◽  
Vol 2019 (751) ◽  
pp. 121-184 ◽  
Author(s):  
Hiroaki Ishida
Keyword(s):  
Complete Classification ◽  
Vector Subspace ◽  
Toric Geometry ◽  
Complex Manifolds ◽  
Combinatorial Objects ◽  
Complex Dimension ◽  
Compact Torus ◽  
Equivalence Of Categories ◽  
Compact Tori

AbstractIn this paper, we introduce the notion of maximal actions of compact tori on smooth manifolds and study compact connected complex manifolds equipped with maximal actions of compact tori. We give a complete classification of such manifolds, in terms of combinatorial objects, which are triples {(\Delta,\mathfrak{h},G)} of nonsingular complete fan Δ in {\mathfrak{g}}, complex vector subspace {\mathfrak{h}} of {\mathfrak{g}^{\mathbb{C}}} and compact torus G satisfying certain conditions. We also give an equivalence of categories with suitable definitions of morphisms in these families, like toric geometry. We obtain several results as applications of our equivalence of categories; complex structures on moment-angle manifolds, classification of holomorphic nondegenerate {\mathbb{C}^{n}}-actions on compact connected complex manifolds of complex dimension n, and construction of concrete examples of non-Kähler manifolds.

scholarly journals Structural Theory and Classification of 2D Adinkras

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Kevin Iga ◽  
Yan X. Zhang
Keyword(s):  
Structural Theory ◽  
Combinatorial Objects ◽  
Simple Characterization ◽  
The Way

Adinkras are combinatorial objects developed to study (1-dimensional) supersymmetry representations. Recently,2D Adinkrashave been developed to study2-dimensional supersymmetry. In this paper, we classify all2D Adinkras, confirming a conjecture of T. Hübsch. Along the way, we obtain other structural results, including a simple characterization of Hübsch’seven-split doubly even codes.

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