The aim of this paper is to construct the (k,r)-caps in the projective 3-space PG(3,p) over Galois field GF(4). We found that the maximum complete (k,2)-cap which is called an ovaloid , exists in PG(3,4) when k = 13. Moreover the maximum (k,3)-caps, (k,4)-caps and (k,5)-caps.
We present the notion of bipolar fuzzy k-ideals with thresholds (
The notion of interval value fuzzy k-ideal of KU-semigroup was studied as a generalization of afuzzy k-ideal of KU-semigroup. Some results of this idea under homomorphism are discussed. Also, we presented some properties about the image (pre-image) for interval~ valued fuzzy~k-ideals of a KU-semigroup. Finally, the~ product of~ interval valued fuzzyk-ideals is established.
This work involves synthesis of some new heterocyclic compounds including 1, 3-diazetine. The new Schiff bases [VI] ad derived from 3-((5-hydrazinyl-4-phenyl-4H-1, 2, 4-triazol-3-yl) methyl)-1H-indole [V] which was synthesized by refluxing 5-((1H-indol-3-yl) methyl)-4-phenyl-4H-1, 2, 4-triazole-3-thiol [IV] with hydrazine hydrate in absolute ethanol and this amino compound [V] condensation with different aromatic aldehydes in absolute ethanol to yielded a new Schiff bases [VI] ad. N-acyl compounds [VII] ad were synthesized by addition reaction of acetyl chloride to imine group of Schiff bases in dry benzene. The new diazetine derivatives [VIII] ad synthesized by the reaction of N-acyl compounds [VII] ad with sodium azide in dimethylformamid
... Show MoreDust storms are among the most important weather phenomena in Middle East. The Shamal dust storms are dominated across Iraq and the whole Middle East, especially in summer. However, frontal type of dust storms is possible in winter and spring. In this research, a comprehensive case study was conducted to a dust storm that occurred on 20 March 2016 from many perspectives: synoptic, satellite imagery, dust concentration analysis, visibility reduction, and aerosol optical depth. The study shows that the dust storm initiated inside Syria and moved eastward with the movement of the front. Dust concentrations and aerosol optical depth were also discussed that simulate the dust storm over Iraq in a reasonable way with some differences. The dust
... Show MoreIn this paper, we shall investigate and study some kinds of ideals in an intuitionistic fuzzy setting, they are called complete intuitionistic fuzzy subalgebra, complete intuitionistic fuzzy ideal, and complete intuitionistic fuzzy ideal. In this study, we have also proposed some hypotheses to explain some of the relationships between these kinds of intuitionistic fuzzy ideals.
This work includes synthesis of new heterocyclic derivatives of 2-mercpto-3-phenyl-4(3H)-quinazolinone bearing 1, 2, 4-triazole and acetylenic amines moieties by using two ways. The first way includes reaction of 2-mercpto-3-phenyl-4(3H)-quinazolinone (1) with ethyl-2-bromopropanoate in methanol as solvent to gives ester derivative (2). Then, compound (2) was converted to (hydrazide, simecarbazid, phenylsimecarbazide and thiosimecarbazide) derivatives through its reactions with (hydrazine hydrate, simecarbazid, phenylsimecarbazide and thiosimecarbazide) respectively to give compounds (3-6). Finally, the cyclization of compounds (4-6) in alkaline media (4N-NaOH) gave the corresponding substituted triazole derivatives (7-9) respectively. W
... Show MoreTraditional programs and the tedious and financially costly processes they require are no longer the best choice for content makers. The continuous development and development have led to the emergence of competitive software that offers capabilities that are more suitable for aesthetic needs, as it breaks down stereotypical frameworks from the familiar to the unfamiliar to be more suitable for graphic subjects in terms of dealing with the requirements of the digital content industry. Video for communication platforms, as it has more advantages than traditional software and the flexibility and high quality it offers at the level of the final product, All of this contributed to supplementing the image with aesthetic employments with data
... Show MoreLet m ≥ 1,n ≥ 1 be fixed integers and let R be a prime ring with char (R) ≠2 and
(m+n). Let T be a (m,n)(U,R)-Centralizer where U is a Jordan ideal of R and T(R)
⊆ Z(R) where Z(R) is the center of R ,then T is (U,R)- Centralizer.
Suppose that is a finite group and is a non-empty subset of such that and . Suppose that is the Cayley graph whose vertices are all elements of and two vertices and are adjacent if and only if . In this paper, we introduce the generalized Cayley graph denoted by that is a graph with vertex set consists of all column matrices which all components are in and two vertices and are adjacent if and only if , where is a column matrix that each entry is the inverse of similar entry of and is matrix with all entries in , is the transpose of and . In this paper, we clarify some basic properties of the new graph and assign the structure of when is complete graph , complete bipartite graph and complete
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