scholarly journals The Identities of Additive Binary Arithmetics

10.37236/2044 ◽  
2012 ◽  
Vol 19 (1) ◽  
Author(s):  
Anton A. Klyachko ◽  
Ekaterina V. Menshova
Keyword(s):  
Universal Algebra ◽  
Finite Basis ◽  
Simple Description ◽  
Nilpotent Ring

Operations of arbitrary arity expressible via addition modulo $2^n$ and bitwise addition modulo $2$ admit a simple description.  The identities connecting these two additions have a finite basis. Moreover, the universal algebra $\mathbb{Z}/2^n\mathbb{Z}$ with these two operations is rationally equivalent to a nilpotent ring and, therefore, generates a Specht variety.

INTEGRASI NILAI-NILAI PAI KE MATA PELAJARAN FISIKA UNTUK MENUMBUHKAN DOMAIN AFEKTIF SISWA

Edupedia ◽  
2018 ◽  
Vol 3 (1) ◽  
pp. 77-88
Author(s):  
Ali Fatoni
Keyword(s):  
Education Program ◽  
New Physics ◽  
Teaching Skills ◽  
Training And Education ◽  
Simple Description ◽  
The World ◽  
Teachers Training ◽  
Scientific Integration ◽  
Spiritual Attitude ◽  
Islamic Values

The integration of science is discussed today. The figures in this issue appear in the world. Mentioned among them Naquib al-Attas,and in Indonesia who keen to speak scientific integration is Amin Abdullah.This speech led to the birth of the 2013Curriculum in Indonesia with the demands of all subjects must contain a spiritual attitude (KI-1). This creates difficulties for teachers. Training and education program for teacher in applying The 2013 Curriculum is not technically in touch with their difficulties.Training and education program for teachermostly touchonly on aspects of teaching skills. This research is present to fill the gap that has not been filled by thattraining and education program. The results of this study is a simple description of the process of developing a physics textbook that begins from the study of old books and relevant theories for thisnew developmenttextbook to compiled new physics textbookincluding the content of Islamic values.

FINITELY BASED WORDS

2000 ◽  
Vol 10 (04) ◽  
pp. 457-480 ◽  
Author(s):  
OLGA SAPIR
Keyword(s):  
Sufficient Conditions ◽  
Basis Property ◽  
Free Monoid ◽  
Finite Basis ◽  
Finitely Based ◽  
Finite Basis Property ◽  
Letter Alphabet ◽  
Finite Language ◽  
Rees Quotient ◽  
The Ideal

Let W be a finite language and let Wc be the closure of W under taking subwords. Let S(W) denote the Rees quotient of a free monoid over the ideal consisting of all words that are not in Wc. We call W finitely based if the monoid S(W) is finitely based. Although these semigroups have easy structure they behave "generically" with respect to the finite basis property [6]. In this paper, we describe all finitely based words in a two-letter alphabet. We also find some necessary and some sufficient conditions for a set of words to be finitely based.

scholarly journals Imaging with Coherent X-rays: From the Early Synchrotron Tests to SYNAPSE

2021 ◽  
Vol 7 (8) ◽  
pp. 132
Author(s):  
Giorgio Margaritondo ◽  
Yeukuang Hwu
Keyword(s):  
Human Brain ◽  
International Collaboration ◽  
Phase Contrast ◽  
Asia Pacific ◽  
X Rays ◽  
New Techniques ◽  
Simple Description ◽  
Contrast Radiography ◽  
The Impact ◽  
Extract Information

The high longitudinal and lateral coherence of synchrotron X-rays sources radically transformed radiography. Before them, the image contrast was almost only based on absorption. Coherent synchrotron sources transformed radiography into a multi-faceted tool that can extract information also from “phase” effects. Here, we report a very simple description of the new techniques, presenting them to potential new users without requiring a sophisticated background in advanced physics. We then illustrate the impact of such techniques with a number of examples. Finally, we present the international collaboration SYNAPSE (Synchrotrons for Neuroscience—an Asia-Pacific Strategic Enterprise), which targets the use of phase-contrast radiography to map one full human brain in a few years.

scholarly journals History of IgA Nephropathy Mouse Models

2021 ◽  
Vol 10 (14) ◽  
pp. 3142
Author(s):  
Batoul Wehbi ◽  
Virginie Pascal ◽  
Lina Zawil ◽  
Michel Cogné ◽  
Jean-Claude Aldigier
Keyword(s):  
Iga Nephropathy ◽  
Small Animal ◽  
Experimental Models ◽  
Murine Models ◽  
Therapeutic Approaches ◽  
Complement Components ◽  
Simple Description ◽  
Primary Glomerulonephritis ◽  
History Of ◽  
Small Animal Models

IgA nephropathy (IgAN) is the most common primary glomerulonephritis in the world. It was first described in 1968 by Jean Berger and Nicole Hinglais as the presence of intercapillary deposits of IgA. Despite this simple description, patients with IgAN may present very broad clinical features ranging from the isolated presence of IgA in the mesangium without clinical or biological manifestations to rapidly progressive kidney failure. These features are associated with a variety of histological lesions, from the discrete thickening of the mesangial matrix to diffuse cell proliferation. Immunofluorescence on IgAN kidney specimens shows the isolated presence of IgA or its inconsistent association with IgG and complement components. This clinical heterogeneity of IgAN clearly echoes its complex and multifactorial pathophysiology in humans, inviting further analyses of its various aspects through the use of experimental models. Small-animal models of IgAN provide the most pertinent strategies for studying the multifactorial aspects of IgAN pathogenesis and progression. Although only primates have the IgA1 subclass, several murine models have been developed in which various aspects of immune responses are deregulated and which are useful in the understanding of IgAN physiopathology as well as in the assessment of IgAN therapeutic approaches. In this manuscript, we review all murine IgAN models developed since 1968 and discuss their remarkable contribution to understanding the disease.

Fundamental relations and identities of fuzzy hyperalgebras

2021 ◽  
pp. 1-10
Author(s):  
Narjes Firouzkouhi ◽  
Abbas Amini ◽  
Chun Cheng ◽  
Mehdi Soleymani ◽  
Bijan Davvaz
Keyword(s):  
Universal Algebra ◽  
Equivalence Relation ◽  
Polynomial Function ◽  
Equivalence Relations ◽  
Fundamental Relation ◽  
Term Function ◽  
Biological Phenomena ◽  
Definition Of

Inspired by fuzzy hyperalgebras and fuzzy polynomial function (term function), some homomorphism properties of fundamental relation on fuzzy hyperalgebras are conveyed. The obtained relations of fuzzy hyperalgebra are utilized for certain applications, i.e., biological phenomena and genetics along with some elucidatory examples presenting various aspects of fuzzy hyperalgebras. Then, by considering the definition of identities (weak and strong) as a class of fuzzy polynomial function, the smallest equivalence relation (fundamental relation) is obtained which is an important tool for fuzzy hyperalgebraic systems. Through the characterization of these equivalence relations of a fuzzy hyperalgebra, we assign the smallest equivalence relation α i 1 i 2 ∗ on a fuzzy hyperalgebra via identities where the factor hyperalgebra is a universal algebra. We extend and improve the identities on fuzzy hyperalgebras and characterize the smallest equivalence relation α J ∗ on the set of strong identities.

scholarly journals Algebras Describing Pseudocomplemented, Relatively Pseudocomplemented and Sectionally Pseudocomplemented Posets

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 753
Author(s):  
Ivan Chajda ◽  
Helmut Länger
Keyword(s):  
Universal Algebra ◽  
Relational Structures ◽  
Pseudocomplemented Poset ◽  
The Given ◽  
The Relationship ◽  
Congruence Properties

In order to be able to use methods of universal algebra for investigating posets, we assigned to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset, a certain algebra (based on a commutative directoid or on a λ-lattice) which satisfies certain identities and implications. We show that the assigned algebras fully characterize the given corresponding posets. A certain kind of symmetry can be seen in the relationship between the classes of mentioned posets and the classes of directoids and λ-lattices representing these relational structures. As we show in the paper, this relationship is fully symmetric. Our results show that the assigned algebras satisfy strong congruence properties which can be transferred back to the posets. We also mention applications of such posets in certain non-classical logics.

scholarly journals Categorification of algebraic quantum field theories

2021 ◽  
Vol 111 (2) ◽  
Author(s):  
Marco Benini ◽  
Marco Perin ◽  
Alexander Schenkel ◽  
Lukas Woike
Keyword(s):  
Universal Algebra ◽  
Finite Groups ◽  
Physical Interpretation ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Algebraic Quantum

AbstractThis paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category of 2AQFTs. Examples of 2AQFTs that do not come from ordinary AQFTs via this embedding are constructed by a local gauging construction for finite groups, which admits a physical interpretation in terms of orbifold theories. A categorification of Fredenhagen’s universal algebra is developed and also computed for simple examples of 2AQFTs.

scholarly journals Recurrence Behaviour of Outbursts in VW Hyi

1987 ◽  
Vol 93 ◽  
pp. 135-142
Author(s):  
H. Van Der Woerd ◽  
J. Van Paradijs
Keyword(s):  
Simple Description ◽  
Relaxation Period

AbstractThe recurrence behaviour of normal- and super-outbursts in the SU Uma system VW Hyi is consistent with the idea that every superoutburst is triggered by a normal outburst. A simple description with a constant relaxation period of 170 days for the recurrence of superoutbursts, together with a randomly occurring trigger (the normal outbursts’) is presented.

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