doi:10.24996/ijs.2022.63.5.27

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Publication Date

Wed May 25 2022

Journal Name

Iraqi Journal Of Science

Volume

63

Issue Number

5

DOI

10.24996/ijs.2022.63.5.27

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The Optimal Control Problem for Triple Nonlinear Parabolic Boundary Value Problem with State Vector Constraints

Classical Continuous Optimal Control

Nonlinear Triple Parabolic Boundary Value Problem

Fréchet Derivative

Necessary and Sufficient Optimality Conditions

Jamil A. Ali

Thekaa M.

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In this paper, the classical continuous triple optimal control problem (CCTOCP) for the triple nonlinear parabolic boundary value problem (TNLPBVP) with state vector constraints (SVCs) is studied. The solvability theorem for the classical continuous triple optimal control vector CCTOCV with the SVCs is stated and proved. This is done under suitable conditions. The mathematical formulation of the adjoint triple boundary value problem (ATHBVP) associated with TNLPBVP is discovered. The Fréchet derivative of the Hamiltonian" is derived. Under suitable conditions, theorems of necessary and sufficient conditions for the optimality of the TNLPBVP with the SVCs are stated and proved.

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Publication Date

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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Publication Date

Mon Apr 24 2017

Journal Name

Spe Kingdom Of Saudi Arabia Annual Technical Symposium And Exhibition

Optimization of Infill Drilling in Whicher Range Field in Australia

machine learning

reservoir simulation

asset and portfolio management

cumulative production

transient drainage area

production rate

reservoir model

infill well

tight gas reservoir

Modeling & Simulation

Omar

Aswin R.

Md Mofazzal

Akim H.

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Abstract<p>Now that most of the conventional reservoirs are being depleted at a rapid pace, the focus is on unconventional reservoirs like tight gas reservoirs. Due to the heterogeneous nature and low permeability of unconventional reservoirs, they require a huge number of wells to hit all the isolated hydrocarbon zones. Infill drilling is one of the most common and effective methods of increasing the recovery, by reducing the well spacing and increasing the sweep efficiency. However, the problem with drilling such a large number of wells is the determination of the optimum location for each well that ensures minimum interference between wells, and accelerates the recovery from the field. Detail</p> ... Show More

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Publication Date

Thu Apr 27 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On A Bitopological (1,2)*- Proper Functions

(1

2)*-proper functions

(1

2)*-perfect functions

(1

2)*-compact functions

(1

2)*-cluster points

(1

2)*- 2 T -spaces

(1

2)*-compactly closed sets and (1

2)*-K-spaces .

Sabiha I .

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In this paper, we introduce a new type of functions in bitopological spaces, namely, (1,2)*-proper functions. Also, we study the basic properties and characterizations of these functions . One of the most important of equivalent definitions to the (1,2)*-proper functions is given by using (1,2)*-cluster points of filters . Moreover we define and study (1,2)*-perfect functions and (1,2)*-compact functions in bitopological spaces and we study the relation between (1,2)*-proper functions and each of (1,2)*-closed functions , (1,2)*-perfect functions and (1,2)*-compact functions and we give an example when the converse may not be true .

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Publication Date

Tue Oct 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Comparison Among Three Estimation Methods to Estimate Cascade Reliability Model (2+1) Based On Inverted Exponential Distribution

inverted exponential distribution

Maximum Likelihood method

Uniformly Minimum Variance Unbiased method

Single Stage Shrinkage Estimator

Mean Squared Error and Cascade Reliability Model (2 1)

Sairan

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In this paper, we are mainly concerned with estimating cascade reliability model (2+1) based on inverted exponential distribution and comparing among the estimation methods that are used . The maximum likelihood estimator and uniformly minimum variance unbiased estimators are used to get of the strengths and the stress ;k=1,2,3 respectively then, by using the unbiased estimators, we propose Preliminary test single stage shrinkage (PTSSS) estimator when a prior knowledge is available for the scale parameter as initial value due past experiences . The Mean Squared Error [MSE] for the proposed estimator is derived to compare among the methods. Numerical results about conduct of the considered

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Publication Date

Sun Jan 01 2023

Journal Name

International Conference Of Computational Methods In Sciences And Engineering Iccmse 2021

Fibrewise slightly topological spaces

fibrewise slightly closed topological spaces

fibrewise slightly open topological spaces

fibrewise slightly locally sliceable and fibrewise locally slightly sectionable topological spaces.

Mohammed G.

Y. Y.

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Publication Date

Wed Nov 01 2017

Journal Name

Al-nahrain Journal Of Science (anjs)

Fibrewise Pairwise Bi-Topological Spaces

Fibrewise bitopological spaces

Fibrewise pairwise - spaces

fibrewise pairwise -Hausdorff spaces

Fibrewise pairwise -regular spaces and fibrewise pairwise -normal spaces.

Y. Y.

L. A.

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The main idea of this research is to consider fibrewise pairwise versions of the more important separation axioms of ordinary bitopology named fibrewise pairwise - spaces, fibrewise pairwise - spaces, fibrewise pairwise - spaces, fibrewise pairwise -Hausdorff spaces, fibrewise pairwise functionally -Hausdorff spaces, fibrewise pairwise -regular spaces, fibrewise pairwise completely -regular spaces, fibrewise pairwise -normal spaces and fibrewise pairwise functionally -normal spaces. In addition we offer some results concerning it.

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Publication Date

Sun Jan 02 2022

Journal Name

Journal Of The College Of Languages (jcl)

Pragmatics and Speech Act- History, Importance and Stages of Development: הפרגמטיקה ופעולת־הדיבור- התולדות, החשיבות ושלבי ההתפתחות (יישמוים בלשון העברית)

Pragmatics

Speech act

Hebrew Language

John Austin

John Searle

Direct and Indirect.

פרגמטיקה

פעולת הדיבור

הלשון העברית

ג'ון אוסטין

ג'ון סירל

פעולות דיבור עקיפות וישירות.

Noor Fadhel

Ghazwan Majeed

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The present study stresses two of the most significant aspects of linguistic approach: Pragmatics” and the “Speech Act Theory”, revealing its importance and the stages and levels of development through Hebrew language’s speech acts analysis including (political speech, the Holy Bible, Hebrew stories).

Chronologically, Pragmatics has always been the center of linguists’ interests due to its importance in linguistic decryptions, particularly, through “Speech Act Theory” that has been initiated and developed by the most prominent philosophers and linguistics.

The prese

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Publication Date

Sun Apr 01 2007

Journal Name

Journal Of The Faculty Of Medicine Baghdad

Some Immunological Evaluations of Propolis in Albino Male Mice

Arthus reaction (AR)

Delayed type hypersensitivity reaction (DTH)

Mitomycin C (MMC)

Phagocytic index (PI)

Plaque forming cells (PFC)

Propolis and Sheep red blood cells (SRBC).

Ali H.

Gassan M.

Majed S.

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Propolis is a complex resinous bee product that has a wide range of biological activities. In the present investigation, two oral doses (10 and 20 mg/kg/day) of propolis (ethanol extract) were evaluated immunologically in albino male mice (80 animals) through three types of experiments. In the first, the propolis was tested alone, while in the second and third experiments, propolis was given before and after the immune suppressive drug MMC (pre- and post treatments, respectively). The three experiments were paralleled with three negative controls, in which the propolis was replaced with distilled water. In the first experiment, the dose 10 mg/kg of propolis enhanced the parameters investigated, and a si

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Publication Date

Sun Sep 03 2023

Journal Name

Al-mansour Journal

SOME CLASSAS OF FULL STABLITY BANACH ALGEBRA MODULES

Fully Stable Banach Algebra Modules

Fully Stable Banach Algebra Modules Relative to an ideal and Srongly fully stable Banach Algebra Modules Relative to an ideal

Nadia M. J.

Uhood S.

Farah J.

Muna Jasim

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The research is an article that teaches some classes of fully stable Banach - Å modules. By using Unital algebra studies the properties and characterizations of all classes of fully stable Banach - Å modules. All the results are existing, and they've been listed to complete the requested information.

Publication Date

Mon Dec 18 2023

Journal Name

Journal Of Iraqi Al-khwarizmi

Fibrewise Multi-Compact and Locally Multi- Compact Spaces

fibrewise multi- topological spaces

fibrewise multi-compact

fibrewise locally multi-compact spaces

fibrewise multi-compact(resp.

locally multi-compac) space and some fibrewise multi-separation axioms

M.H.

Y. Y.

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The primary objective of this paper is to introduce a new concept of fibrewise topological spaces on D is named fibrewise multi- topological spaces on D. Also, we entroduce the concepts of multi-proper, fibrewise multi-compact, fibrewise locally multi-compact spaces, Moreover, we study relationships between fibrewise multi-compact (resp., locally multi-compac) space and some fibrewise multi-separation axioms.

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