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Exploring generalizations of fibrewise micro-topological spaces and their applications in mathematics
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Abstract. Fibrewise micro-topological spaces be a useful tool in various branches of mathematics. These mathematical objects are constructed by assigning a micro-topology to each fibre from a fibre bundle. The fibrewise micro-topological space is then formed by taking the direct limit of these individual micro-topological spaces. It can be adapted to analyze various mathematical structures, from algebraic geometry to differential equations. In this study, we delve into the generalizations of fibrewise micro-topological spaces and explore the applications of these abstract structures in different branches of mathematics. This study aims to define the fibrewise micro topological space through the generalizations that we use in this paper, which are fibrewise micro-regular, fibrewise micro-pre, fibrewise micro-semi, fibrewise micro-Ƅ, fibrewise micro-ꭀ, and fibrewise micro-semi-pre-topological space, and to study the correlation relations These generalizations and examples. As well as discussing and studying scientific terminology in continuity and micro open and micro closed sums when proving them with the generalizations contained in the fibrewise micro-topology, with the study of concepts between functions in terms of structure and transitional qualities between the field and the corresponding field via the influence of the fibrewise micro-topology and generalizations, and examining which of the proofs and theories are verified and which are not, with its refutation, with examples that achieve the scientific purpose.

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Publication Date
Sun Dec 07 2008
Journal Name
Baghdad Science Journal
Spectrophotometric micro determination of drug promethazine hydrochloride in some pharmaceutical by chelating with Rhodium
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The drug promethazine hydrochloride (PRZH) forms with rhodium (II) a colored chelate (?max = 472 nm) complex at (pH = 2.1) which is extractable with benzyl alcohol as organic solvent. Under the appropriate experimental conditions a calibration plot was set up from which some analytical parameter were derived and deduced by regression. Standard addition procedure was also adopted. It has been estimated that the concentration of the drug PRZH to be 24.89 mg per unit and 24.19 mg per unit for both calibrations. Under optimal conditions, the developed method has been achieved the following characteristics: LDR (30 – 150 µg ml-1 ) PRZH , RSD % ( 0.6 – 2.47 ) , sandell sensitivity( 0.0844 µg. cm -2 ) , LOD ( 1.66 µgml-1 ) , recovery

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Publication Date
Mon Mar 07 2022
Journal Name
Journal Of Educational And Psychological Researches
Math Word Problems in Mathematics Books for the First Three Grads of the Basic Stage in Palestine (An analytical and Evaluative Study)
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This study aimed at revealing the degree of availability of standards of word problems in mathematics books for the first three grades of the basic stage in Palestine. For this purpose, the researcher prepared an analysis tool and a list of criteria consisting of two areas: linguistic formulation and mathematical content. Every area had seven items. The results of the study showed that the third-grade mathematics book has the highest degree of availability of the standards with 85.75%, and then came the second-grade mathematics book with 83.12%. Finally, the first-grade mathematics book came with 80.13%. In the light of the previous results, the researcher recommended to develop the language of word problems, to take into account their i

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Publication Date
Sun Nov 17 2019
Journal Name
Journal Of Interdisciplinary Mathematics
Soft 𝒦(<i>sc</i>)-spaces
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Cech Fuzzy Soft Bi-Closure Spaces
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Abstract<p>In the present study, Čech fuzzy soft bi-closure spaces (Čfs bi-csp’s) are defined. The basic properties of Čfs bi-csp’s are studied such as we show from each Čfs bi-csp’s (<italic>u, L<sub>1</sub>, L<sub>2</sub>, S</italic>) we can obtain two types of associative fuzzy soft topological spaces, the first is a fuzzy soft bitopological space (<italic>U, τ<sub>L<sub>1</sub> </sub>, τ<sub>L<sub>2</sub> </sub>, S</italic>) and the second is a fuzzy soft topological space (<italic>U, τ<sub>L<sub>1</sub> </sub> </italic></p> ... Show More
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Publication Date
Sat Apr 09 2022
Journal Name
Engineering, Technology &amp; Applied Science Research
The Mechanical Properties of Fly Ash and Slag Geopolymer Mortar with Micro Steel Fibers
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In this study, experimental mortar combinations with 1% micro steel fibers, were examined to create geopolymer mortars. To test the effect of the fibers on the mortar's resistance, the geopolymer mortar was designed with various proportions of more environmentally friendly materials fly ash and slag. The percentage of fly ash by weight was 50, 60, and 70% of the slag. The best results were obtained when a 50:50 ratio of fly ash and slag were mixed with 1% micro steel fibers. The results showed that the mixtures containing fibers performed better in the considered tests (toughness index, ductility index, and resilience index). In the impact resistance test, the mixture contained 50% fly ash by weight of the slag with a temperature of

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Publication Date
Wed Feb 20 2019
Journal Name
Political Sciences Journal
Reasons modern and contemporary applications social and political engineering in the west
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The results of the historical review of social and political realities in general show that the practical and procedural applications of social engineering as a particular activity primarily of the social and political characteristics of man and society emerged in modern Western societies before appearing in other societies, These results also show that the emergence of these practical reasons and their applications in the West has also seen the emergence of modern theoretical foundations there, which seems to be the usual and usual context everywhere and in most or not all areas of life. Since the social and political dimensions are intertwined in human life and are in full, comprehensive and lasting harmony, interest in this geometry h

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Publication Date
Wed Dec 01 2021
Journal Name
Baghdad Science Journal
Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
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The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts. Firstly, the definition of weak fuzzy convergence sequence in terms of fuzzy bounded linear functional is given. Then the notions of weakly and strongly fuzzy convergence sequences of operators  are introduced and essential theorems related to these concepts are proved. In particular, if ( ) is a strongly fuzzy convergent sequence with a limit  where linear operator from complete standard fuzzy normed space  into a standard fuzzy normed space  then  belongs to the set of all fuzzy bounded linear operators

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Publication Date
Tue Dec 23 2025
Journal Name
Opción: Revista De Ciencias Humanas Y Sociales, Issn 1012-1587, Nº. Extra 21, 2019, Págs. 907-927
The Effect Of The Perkins’ And Blythe’s Model On Mathematical Communication Among Students Of The 5Th Bio Scientific Grade In Mathematics
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Autorías: Muayad Kadhim Raheem, Lina Fouad Jawad. Localización: Opción: Revista de Ciencias Humanas y Sociales. Nº. 21, 2019. Artículo de Revista en Dialnet.

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Publication Date
Sun Apr 17 2016
Journal Name
Al-academy
Design trends of family dual-used in small spaces: محمد سعد الجميلي
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Comes interest in the subject matter in the selection of the Family industry globally as one of the important industries which have developed a clear and significant in recent years, to look at these products and designs to their functional importance have appeared in recent years, the phenomenon of the small spaces because of housing Population density showed the need to find a spare Furniture fit these small spaces On this basis, determine the objective of this research is to arrive at a design techniques for dual-family employee for small spaces research sample included a double family manufactured in laboratories industry Furniture in Baghdad and local research sample includes family double Decker.Research focused on the first four c

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Publication Date
Thu Jun 01 2017
Journal Name
American Journal Of Pharmaceutical Education
Exploring Electronic Communication Modes Between Iraqi Faculty and Students of Pharmacy Schools Using the Technology Acceptance Model
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