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Sum of Squares of ‘n’ Consecutive Carol Numbers
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The discussion in this paper gives several theorems and lemmas on the Sums of Squares of  consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of  consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

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Publication Date
Sun Jan 19 2025
Journal Name
Journal Of Physical Education
Consecutive Case Study of Detraining On Some Functional, Physical, Body and Compound Skills Variables In Advance Basketball Players
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Publication Date
Mon Nov 23 2015
Journal Name
Sultan Qaboos University Medical Journal
Association of Higher Defensin β-4 Genomic Copy Numbers with Behçet’s Disease in Iraqi Patients
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Publication Date
Sun Oct 22 2023
Journal Name
Iraqi Journal Of Science
Synthesis & Characterization Of Poly [ N - acryl - N - sulfonic acid - N\ yL - 2 - substituted - 4 - oxo - thiazolidine ] Maleic and Succinic DiImide
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In the present investigation, new polymers of Poly [ N - acryl - N - sulfonic acid - N\ yL - 2 - substitute - 4 - oxo - thiazolidine ] Maleic and Succinic diimide were synthesized by seven steps; first step includes esterification of different cyclic anhydride, using one mole of absolute methanol in the presence few drops of conc. H2SO4, yielded mono group ester [I] , which was reaction with thionyl chloride to give ester acid chloride [II] .Then reacted with sulfanilic acid to product compound [III] , which was condensation with hydrazine hydrate to give acid hydrazide [IV] . The new different Schiff bases [V-VIII] were synthesized by reaction of acid hydraizide with different (aliphatic and aromatic) aldehyedes and ketones in the prese

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Publication Date
Fri Mar 01 2019
Journal Name
Archives Of Plastic Surgery
Surgical outcomes of 14 consecutive bilateral cleft lip patients treated with a modified version of the Millard and Manchester methods
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Background Bilateral cleft lip deformity is much more difficult to correct than unilateral cleft lip deformity. The complexity of the deformity and the sensitive relationships between the arrangement of the muscles and the characteristics of the external lip necessitate a comprehensive preoperative plan for management. The purpose of this study was to evaluate the repair of bilateral cleft lip using the Byrd modification of the traditional Millard and Manchester methods. A key component of this repair technique is focused on reconstruction of the central tubercle.

Methods Fourteen patients with mean age of 5.7 months presented with bilateral cleft lip deformity and were operated on using a mod

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Publication Date
Fri Apr 01 2011
Journal Name
Chinese Chemical Letters
Extraction of cobalt(II) from aqueous solution by N,N′-carbonyl difatty amides
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The development of economic and environmentally friendly extractants to recover cobalt metal is required due to the increasing demand for this metal. In this study, solvent extraction of Co(II) from aqueous solution using a mixture of N,N0-carbonyl difatty amides (CDFAs) synthesised from palm oil as the extractant was carried out. The effects of various parameters such as acid, contact time, extractant concentration, metal ion concentration and stripping agent and the separation of Co(II) from other metal ions such as Fe(II), Ni(II), Zn(III) and Cd(II) were investigated. It was found that the extraction of Co(II) into the organic phase involved the formation of 1:1 complexes. Co(II) was successfully separated from commonly associated metal

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Publication Date
Sun Dec 01 2013
Journal Name
Baghdad Science Journal
Thermodynamic function of valineacid in n-n dimethyl formamide mixtures from conductance measurement
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Some physical properties enthalpy (?H), entropy (?s), free energy (?G),capacities(?cp?) and Pka values) for valine in dimethyl foramideover the temperature range 293.15-318.15K, were determined by direct conductance measurements. The acid dissociation at six temperature was examined at solvent composition x2) involving 0.141 of dimethyl foramide . As results, calculated values have been used to determine the dissociation constant and the associated thermodynamic function for the valine in the solvent mixture over temperatures in the range 293.15-318.15 k. The Pka1, and Pka2 were increased with increasing temperature.

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Publication Date
Fri Nov 01 2013
Journal Name
European Chemical Bulletin
Thermodynamic function of valineacid in n-n dimethyl formamide mixtures from conductance measurement
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sanaa tareq, Baghdad Science Journal, - Cited by 1

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Publication Date
Wed Nov 24 2021
Journal Name
Iraqi Journal Of Science
On The Class of (K-N)* Quasi-N-Normal Operators on Hilbert Space
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In this paper, we will give another class of normal operator which is (K-N)*
quasi-n-normal operator in Hilbert space, and give some properties of this concept
as well as discussion the relation between this class with another class of normal
operators.

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Publication Date
Fri Jan 01 2021
Journal Name
Ieee Access
Sum Rate Maximization Versus MSE Minimization in FDD Massive MIMO Systems With Short Coherence Time
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Publication Date
Sat Mar 28 2020
Journal Name
Iraqi Journal Of Science
Least Squares Estimations for the General Linear Model Parameters with Epsilon Skew Normal Error Term
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Examination of skewness makes academics more aware of the importance of accurate statistical analysis. Undoubtedly, most phenomena contain a certain percentage of skewness which resulted to the appearance of what is -called "asymmetry" and, consequently, the importance of the skew normal family . The epsilon skew normal distribution ESN (μ, σ, ε) is one of the probability distributions which provide a more flexible model because the skewness parameter provides the possibility to fluctuate from normal to skewed distribution. Theoretically, the estimation of linear regression model parameters, with an average error value that is not zero, is considered a major challenge due to having difficulties, as no explicit formula to calcula

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