Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

hadeel G. Abd Ali; Mudhir A. Abdul Hussain

doi:10.21123/bsj.2023.6932

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Publication Date

Sun Oct 01 2023

Journal Name

Baghdad Science Journal

Volume

20

Issue Number

5

DOI

10.21123/bsj.2023.6932

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Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

Bifurcation of Solutions

Benjamin-Bona-Mahony equation

Camassa-Holm equation

Caustic

Modify Lyapunov-Schmidt method.

hadeel G. Abd Ali

Mudhir A. Abdul Hussain

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In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony. We introduced the modified Lyapunov-Schmidt reduction for nonhomogeneous problems when the dimension of the null space is equal to two. The nonlinear Ritz approximation for the nonhomogeneous Camassa-Holm equation has been found as a function of codimension twenty-four.

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Publication Date

Tue Dec 01 2020

Journal Name

Baghdad Science Journal

A Generalization of t-Practical Numbers

Bound for the t-practical numbers

Existence of t-practical numbers in an interval

Practical numbers

t-practical numbers.

Saad abood

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This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers which is defined by has a lower bound in terms of . This bound is more sharper than Mangenstern bound when Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all

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(1)

Publication Date

Wed Dec 01 2021

Journal Name

Baghdad Science Journal

Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces

Fuzzy compact linear operator

Fuzzy convergence sequence of operators

Standard fuzzy normed spaces

Strongly fuzzy convergent

Weakly fuzzy convergent

Raghad

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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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(3)

Publication Date

Sun Jun 12 2011

Journal Name

Baghdad Science Journal

Development Binary Search Algorithm

Big Oh ( A notation formally describing the set of all functions which are bounded above by a nominated function ).

Ragheed D.

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There are many methods of searching large amount of data to find one particular piece of information. Such as find name of person in record of mobile. Certain methods of organizing data make the search process more efficient the objective of these methods is to find the element with least cost (least time). Binary search algorithm is faster than sequential and other commonly used search algorithms. This research develops binary search algorithm by using new structure called Triple, structure in this structure data are represented as triple. It consists of three locations (1-Top, 2-Left, and 3-Right) Binary search algorithm divide the search interval in half, this process makes the maximum number of comparisons (Average case com

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Publication Date

Thu Aug 15 2024

Journal Name

Journal Of Interdisciplinary Mathematics

Nano M. and nano IM. sets in nano topological spaces

Ng. open set

NM. open set

NIM. open set

Nano ideal

Topological space and NM. Kernel of a subset

Afraa R.

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studied, and its important properties and relationship with both closed and open Nano sets were investigated. The new Nano sets were linked to the concept of Nano ideal, the development of nano ideal mildly closed set and it has been studied its properties. In addition to the applied aspect of the research, a sample was taken from patients infected with viral hepatitis, and by examining the infected people and using closed and open (nano mildly. and nano ideal mildly) sets, the important symptoms that constitute the core of this dangerous examining the infected people and using closed and open (nano mildly. and nano ideal mildly) sets, the important symptoms that constitute the core of this dangerous disease.

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Publication Date

Sun Jan 02 2022

Journal Name

Journal Of The College Of Languages (jcl)

Song and motivation in language class: Chanson et motivation en classe de langue

The song in the classroom

motivation

teaching of French as a foreign language

chanson en classe

motivation

apprentissage de FLE.

Khaldoon Atta

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Songs are considered as an educational and a substantial dependable references used in teaching and learning, particularly the so - called foreign language learning that allows learners to adapt to the target language culture and to develop their language learning skills including: listening comprehension, reading comprehension, speaking and writing. Consequently, it can be said that the Francophone songs with the musical richness and resonance specifically facilities French language learning skills for all levels of education and achieve short and long terms predetermined educational language learning goals.

In fact, language learning through songs method does not only include the

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Publication Date

Sat May 31 2025

Journal Name

3rd International Scientific Conference For Human And Social Studies And Epistemological Challenges

Frankenstein Complex in Daniel H. Wilson's Robopocalypse ( ): Artificial Intelligence Conspiracies

With the advent of technology

the fear of losing control has consistently accompanied humanity. While humans have discovered

invented

and created many remarkable things

they have also been haunted by the possibility of their creations turning against them. This fear

often referred to as the Frankenstein Complex

derives its name from Mary Shelley's Frankenstein (􀀔􀀛􀀔􀀛)

in which Dr. Frankenstein's creation ultimately destroys its maker. The Frankenstein Complex embodies the subconscious fear of artificial intelligence (AI) surpassing and potentially dominating humankind. This apprehension has inspired numerous literary works

including Daniel H. Wilson’s novels. The present study examines the widespread fear of AI

which has fueled conspiracy theories in literature. These theories have not only amplified public anxiety but also hindered understanding among those with limited knowledge of AI and robotics. Dr. Wilson

a robotics expert

uses his imagination as a driving force for both his writing and his inventions. The research focuses on incidents leading to the rise of robots

the concept of the New War

how it was fought

and how it concluded. By comparing

contrasting

and analyzing literary elements and devices with prominent conspiracy theories

the study highlights the interplay between fiction and scientific development. The researchers conclude that while many conspiracy theories contain elements of truth

they often inspire scientists to explore them further. Additionally

some conspiracy theories warrant serious consideration. The study recommends acknowledging the Frankenstein Complex while maintaining faith in the potential benefits of artificial intelligence.

Ansam

Mayada

Zahraa

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Publication Date

Sun Feb 03 2019

Journal Name

Iraqi Journal Of Physics

Microscopic effective charges and quadrupole moments of sd-shell and sd-pf cross-shell nuclei with Z≥13

Effective charges and quadrupole moments of sd- and sdpf-shell isotopes (Z≥13): sd and sdpf- shell model

core-polarization effects.

A. H.

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Publication Date

Wed Nov 01 2017

Journal Name

Journal Of Economics And Administrative Sciences

Dry Canal in Iraq and Mutual Growth in International Economic Environment

Maritime Shipping

Dry Canal

High Growth Countries

Commodity Trade

Economic Feasibility

Economic Anthropology in Iraq

International Growth

Regional States of Iraq

سلام جبار

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In this paper, an attempt was made to measure and interpret the impact of several variables on global maritime transport, including: OECD industrial productions, high growth rates of some developing countries, and growth in world GDP. These variables contribute to higher rates of maritime transport revenues of 800 billion dollars annually; in the form of numerical sequences. The dry canal in Iraq was assumed to transfer 99 million tons of goods annually. This was made sure through the economic feasibility of the difference between maritime and land transport through railways. The effect of geographical and anthropological nature of Iraq on this project was studied too. Our findings indicated that the project will not drive growth

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Publication Date

Mon Jun 30 2014

Journal Name

Al-kindy College Medical Journal

Anal Fissure: Is it becoming a medical disorder?

Non-surgical treatment of anal fissure

fissure in ano

sphicterotomy

botulinum toxin in anal fissures

glyceryl trinitrate. Chemical sphincteratomy

pharmacological sphincteratomy.

Ali ,

Kadhim

Serene A.A,

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An anal fissure which does not heal with conservative measures as sits baths and laxatives is a chronic anal fissure. Physiologically, it is the high resting tone of the internal anal sphincter that chiefly interferes with the healing process of these fissures. Until now, the gold standard treatment modality is surgery, either digital anal dilatation or lateral sphincterotomy. However, concerns have been raised about the incidence of faecal incontinence after surgery. Therefore, pharmacological means to treat chronic anal fissures have been explored.A Medline and pub med database search from 1986-2012 was conducted to perform a literature search for articles relating to the non-surgical treatment of chronic anal fissure.Pharmacological s

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Publication Date

Mon Jun 30 2014

Journal Name

Al-kindy College Medical Journal

Anal Fissure: Is it becoming a medical disorder? Review Article

Non-surgical treatment of anal fissure

fissure in ano

sphicterotomy

botulinum toxin in anal fissures

glyceryl trinitrate. Chemical sphincteratomy

pharmacological sphincteratomy.

Ali

Kadhim

Serene A.A,

...Show More Authors

An anal fissure which does not heal with conservative measures as sits baths and laxatives is a chronic anal fissure. Physiologically, it is the high resting tone of the internal anal sphincter that chiefly interferes with the healing process of these fissures. Until now, the gold standard treatment modality is surgery, either digital anal dilatation or lateral sphincterotomy. However, concerns have been raised about the incidence of faecal incontinence after surgery. Therefore, pharmacological means to treat chronic anal fissures have been explored. A Medline and pub med database search from 1986-2012 was conducted to perform a literature search for articles relating to the non-surgical treatment of chronic anal fissure. Pharmacological

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