The Study Aimed at Identifying The Knowledge Levels of Blum in
The Developed Algebra Book For The Ninth Grade in The Syrian
Arab Republic in 2017-2018. The Researcher Analysed The
Questions at The End of Each Unit in The Developed Algebra
Book, A
nd Used Descriptive Analytical Approach And Analysis
Card as A Tool For This Study.
This paper provides algebraic representation of Petri Nets model, taking
advantage that the releasing principle of Petri Nets depends on reduction process
of Monoiad of the commutative natural numbers.
(In conclusion) Finally, we provided a theore
m that explains how to make use of
algebraic properties, to simulate Petri Nets algebraically and identify the results
we will get after releasing a series of Petri Nets' transitions.
This study aimed at identifying number sense skills, which are
supposed to be available in algebra textbook among grade
eight students, and to know to what extent are these skills
available in the algebra Textbook.
Radar detects the targets and measures its parameters, range,
azimuth, height, and velocity of the target.
In some application, such as early warning radar we don’t
have extremely measure all these parameters, but in other
application like detect
ion targets and measures his geo-locations
requires high resolution to all these parameters.
This paper discusses the feasibility of detecting the location of
from four deferent satellites Positions by using of Linear Algebra
and pseudo range’s solution, The Matlab was used to solve the four Equations and to simulate the Geo-Positions on Geo-Map
In this scientific paper, we describe an algorithm to test if the weighted
Dynkin diagram of type -Cn corresponds to one of the nilpotent orbits of sp2n,
then we defined the necessary and sufficient condition on this representative
that makes the
diagram even. We applied this algorithm on one of the weighted
Dynkin diagrams of type –C3 to prove that it is true
A Lie algebra g over a field F is a vector space together with a bilinear
map [ , ] satisfying [x ,x ] = 0 in addition to Jacobi identity . A Lie subalgebra
B of a Lie algebra g is said to be a Cartan subalgebra if it is a nilpotent and
equals its
normalizer, and it is proved that semi simple Lie algebra g
decomposes into weight spaces for B.
In this scientific paper we present the conception of distinguished
element 0 h in finite dimensional semi simple Lie algebra over a field F has
characteristic 0 and we will prove that the previous decomposition g into
weight spaces for B is the same to decomposition g as a direct sum of h0 ad eigen
spaces. This leads us to construct algorithm to test simple Lie algebras.
We programmed the previous algorithm to test simple linear Lie algebras
over a numeral field by Mathematica 5.0 program where applied this algorithm
on semi simple linear Lie algebra SL(3, ) to prove that it is simple.
We present a necessary and sufficient condition for BCI-algebra X
to be of KL- product, this condition is pure numerical, that is the
number of elements of the row which is opposite to the zero element
in the Cayley table of the operation divides the number of elements
in each row of the mentioned table.
A BCI-algebra is a non-empty set X with a binary operation, distinguished
element 0, and the binary operation satisfying some conditions.
In this paper we presents a generalization of some important known
identities in BCI-algebras that could be help in starting new studies in this field.
This paper is concerned with the calculation of the spectral radius of an
arbitrary real matrix A
If rank A = m = 2 then (١) and (٢) are equalities.
In addition, we provide the numerical radius r(A) of an n×n matrix whose
diagonal entries are complex numbers.
