scholarly journals Semi-group structure of all endomorphisms of a projective variety admitting a polarized endomorphism

2020 ◽  
Vol 27 (2) ◽  
pp. 523-549
Author(s):  
Sheng Meng ◽  
De-Qi Zhang
Keyword(s):  
Projective Variety ◽  
Group Structure ◽  
Semi Group

THE INCREMENTAL RATIO BASED CAUSAL FRACTIONAL CALCULUS

2012 ◽  
Vol 22 (04) ◽  
pp. 1250078 ◽  
Author(s):  
MANUEL D. ORTIGUEIRA ◽  
MARGARITA RIVERO ◽  
JUAN J. TRUJILLO
Keyword(s):  
Fractional Calculus ◽  
Fractional Derivative ◽  
Analytic Functions ◽  
Group Structure ◽  
Semi Group ◽  
Set Up

The generalized incremental ratio fractional derivative is revised and its main properties deduced. It is shown that in the case of analytic functions, it enjoys some interesting properties like: linearity and causality and has a semi-group structure. Some simple examples are presented. The enlargement of the set of functions for which the group properties of the fractional derivative are valid is done. With this, it is shown that some well-known results are valid in a more general set-up. Some examples are presented.

Dynamic Semi-Group CIA Pattern Optimizing the Risk on RTS

2017 ◽  
Vol 9 (1) ◽  
pp. 51-70 ◽  
Author(s):  
Padma Lochan Pradhan
Keyword(s):  
Web Application ◽  
Group Structure ◽  
Fault Analysis ◽  
It Infrastructure ◽  
Semi Group ◽  
Preventive Control ◽  
Real Time Operating System ◽  
Business Information ◽  
It Resources ◽  
Efficient Resource

The preventive control is one of the best well advance control for recent complex IS Security Application to protect the data and services from the uncertainty, hacker, and unauthorized users. Now, increasing the demand and importance of business, information & communication system & growing the external risks is a very common phenomenon for everywhere. The RTS security put forward to the management focus on IT infrastructure. This work contributes to the development of an optimization pattern that aims to determine the optimal cost to be apply into security mechanisms deciding on the measure components of system security and resources. The author's mechanism should be design in such way, the Confidentiality, Integrity, Availability, Authenticity and Accountability are automatically PDC for all the time. The author has to optimize the system attacks and down time by implementing semi-group structure CIA pattern, mean while improving the throughput of the Business, Resources & Technology. Finally, the author has to maximize the protection of IT resources & Services for all the time and every time. This proposed CIA Pattern is the part of protection, detection, benchmarking, fault analysis and risk assessment of real time operating system and applicable to efficient resource management on web application.

scholarly journals Full-Rank Valuations and Toric Initial Ideals

2020 ◽  
Author(s):  
Lara Bossinger
Keyword(s):  
Projective Variety ◽  
Full Rank ◽  
Projective Spaces ◽  
Weight Vector ◽  
Flag Variety ◽  
Coordinate Ring ◽  
Semi Group ◽  
Initial Ideal ◽  
Initial Ideals ◽  
Plabic Graphs

Abstract Let $V(I)$ be a polarized projective variety or a subvariety of a product of projective spaces, and let $A$ be its (multi-)homogeneous coordinate ring. To a full-rank valuation ${\mathfrak{v}}$ on $A$ we associate a weight vector $w_{\mathfrak{v}}$. Our main result is that the value semi-group of ${\mathfrak{v}}$ is generated by the images of the generators of $A$ if and only if the initial ideal of $I$ with respect to $w_{\mathfrak{v}}$ is prime. As application, we prove a conjecture by [ 7] connecting the Minkowski property of string polytopes to the tropical flag variety. For Rietsch-Williams’ valuation for Grassmannians, we identify a class of plabic graphs with non-integral associated Newton–Okounkov polytope (for ${\operatorname *{Gr}}_k(\mathbb C^n)$ with $n\ge 6$ and $k\ge 3$).

scholarly journals On Lie Semi-Groups

1960 ◽  
Vol 12 ◽  
pp. 686-693 ◽  
Author(s):  
R. P. Langlands
Keyword(s):  
Banach Space ◽  
Continuous Function ◽  
Group Structure ◽  
Linear Operators ◽  
Semi Group ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Image Position

Suppose we have a semi-group structure defined ona subset of real Euclidean n-space, En, by (p, q) → F (p, q) = poq. In this note we shall be concerned with a representation T(.) of π as a semi-group of bounded linear operators on a Banach space 𝒳. More particularly, we suppose that postulates P1, P2, P3, P5 and P6 of chapter 25 of (2) are satisfied so that, by Theorem 25.3.1 of that book, there is a continuous function, f(.), defined on π such that f((ρ + σ)a) = f(ρa)o f(σa) for a ∈ π, ρ,σ ≥ 0; that the representation is strongly continuous in a neighbourhood of the origin and that T(0) = I.

Some effects of unequal distribution of information in a wheel group structure.

1954 ◽  
Vol 49 (4, Pt.1) ◽  
pp. 554-556 ◽  
Author(s):  
J. C. Gilchrist ◽  
Marvin E. Shaw ◽  
L. C. Walker
Keyword(s):  
Group Structure ◽  
Unequal Distribution

A performative network theory of attitudes

2020 ◽  
Author(s):  
Michael Quayle
Keyword(s):  
Attitude Change ◽  
Network Structure ◽  
Network Theory ◽  
Social Group ◽  
Group Structure ◽  
Social Identities ◽  
Bipartite Network ◽  
Identity Change ◽  
Multilayer Network ◽  
Dynamic Phenomena

In this paper I propose a network theory of attitudes where attitude agreements and disagreements forge a multilayer network structure that simultaneously binds people into groups (via attitudes) and attitudes into clusters (via people who share them). This theory proposes that people have a range of possible attitudes (like cards in a hand) but these only become meaningful when expressed (like a card played). Attitudes are expressed with sensitivity to their potential audiences and are socially performative: when we express attitudes, or respond to those expressed by others, we tell people who we are, what groups we might belong to and what to think of us. Agreement and disagreement can be modelled as a bipartite network that provides a psychological basis for perceived ingroup similarity and outgroup difference and, more abstractly, group identity. Opinion-based groups and group-related opinions are therefore co-emergent dynamic phenomena. Dynamic fixing occurs when particular attitudes become associated with specific social identities. The theory provides a framework for understanding identity ecosystems in which social group structure and attitudes are co-constituted. The theory describes how attitude change is also identity change. This has broad relevance across disciplines and applications concerned with social influence and attitude change.

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