Topic
Real element
About: Real element is a research topic. Over the lifetime, 29 publications have been published within this topic receiving 129 citations.
Papers
1 Jan 2002
TL;DR: Arad, M.Muzychuk, H.Arisha, E. Fishman, and E. Muzuychuk as mentioned in this paper proposed the SITA with a Faithful Real Element of Degree 5 and Width 3.
Abstract: 1. Introduction (Z.Arad, M. Muzychuk): 1.1 Main Definitions 1.2 Basic examples 1.3 Basic properties 1.4 Basic constructions 2. ITA with a Faithful Nonreal Element of Degree 4 (Z.Arad, M.Muzychuk, H. Arisha, E. Fishman) 2.1 Known examples 2.2 Proof of the main results 3. SITA with a Faithful Nonreal Element of Degree 5 (Z. Arad, F. Bunger, E. Fishman, M. Muzuychuk) 3.1 Introduction 3.2 General facts and known results 3.3 Degree 5 3.4 Case 3 3.5 Case 5 4. SITA with a Faithful Real Element of Degree 5 and Width 3 (F. Bunger) 4.1 Introduction 4.2 Case 1 4.3 Case 2 5. The Enumeration of Primitive Commutative Association Schemes (M. Hirasaka) 5.1 Introduction 5.2 The case of valency 1 or 2 5.3 The case of valency 3 5.4 The case of valency 4 References Index
18 citations
TL;DR: In this article, a computational strategy for constructing the centralizer of a real element in a finite group is given, where the centralizers are constructed from a finite set of real elements.
Abstract: In this paper we give a computational strategy for constructing the centralizer of a real element in a finite group.
11 citations
17 Mar 1997
TL;DR: Consider the following problem SUB(k, n).
Abstract: Consider the following problem SUB(k, n). Given an array A = (a1,..., an) of real elements ai and a natural number k, find (at most) k disjoint subarrays A1,...,Ak in A such that the sum of the elements contained in the subarrays is maximum.
10 citations
Posted Content•
TL;DR: In this article, it was shown that a finite two-torsion group can determine which Jordan-Holder isomorphism classes of finite commutative group schemes over a finite field contain kernels of polarizations.
Abstract: Suppose $C$ is an isogeny class of abelian varieties over a finite field $k$. In this paper we give a partial answer to the question of which finite group schemes over $k$ occur as kernels of polarizations of varieties in $C$. We show that there is an element $I_C$ of a finite two-torsion group that determines which Jordan-Holder isomorphism classes of finite commutative group schemes over $k$ contain kernels of polarizations. We indicate how the two-torsion group can be computed from the characteristic polynomial of the Frobenius endomorphism of the varieties in $C$, and we give some relatively weak sufficient conditions for the element $I_C$ to be zero. Using these conditions, we show that every isogeny class of simple odd-dimensional abelian varieties over a finite field contains a principally polarized variety. As a step in the proofs of these theorems, we prove that if $K$ is a CM-field and $A$ is a central simple $K$-algebra with an involution of the second kind, then every totally positive real element of $K$ is the reduced norm of a positive symmetric element of $A$.
8 citations
Patent•
30 Aug 2002
TL;DR: In this paper, the authors proposed a technique to assist a computer to aid a designer for effectively designing a real system obtained by composing a plurality of real components and high efficiency without having expert technique.
Abstract: PROBLEM TO BE SOLVED: To allow a computer to aid a designer for effectively designing a real system obtained by composing a plurality of real components and high efficiency without having expert technique. SOLUTION: Each real element tunes the parameter of each virtual element being a virtual model describing its characteristic by a parameter by comparing it with the experiment model of each real element (S3). Successively, a virtual system being the virtual model of the real system optimizes the specification of each virtual element temporarily so as to attain a plurality of targets set in advance together (S5). After that, the specification of each virtual element is optimized finally by comparing it with the experiment model of the real system reflecting the temporarily optimized specification (S7).
7 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2020 | 4 |
| 2019 | 3 |
| 2017 | 1 |
| 2016 | 2 |
| 2014 | 1 |
| 2013 | 2 |