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symmetric analysis of multiple variables classified ranked orthogonal polynomials
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MCA has gained a reputation for being a very useful statistical method for determining the association between two or more categorical variables and their graphical description. For performance this method, we must calculate the singular vectors through (SVD). Which is an important primary tool that allows user to construct a low-dimensional space to describe the association between the variables categories. As an alternative procedure to use (SVD), we can use the (BMD) method, which involves using orthogonal polynomials to reflect the structure of ordered categorical responses. When the features of BMD are combined with SVD, the (HD) is formed. The aim of study is to use alternative method of (MCA) that is appropriate with ordered categorical data, this method is known as (HD). When compared the results of (HD) with (MCA), the (HD), will give the same representation, and we get a clear association interpretation among the categories in terms of linear, quadratic and higher order components for variables, also graphical display of the individual units will show an automatic clustering.

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Publication Date
Tue Jul 01 2008
Journal Name
Journal Of Educational And Psychological Researches
التحليل المنطقي والإحصائي لفقرات المقاييس النفسية
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اهمية البحث والحاجة اليه :

ان القياس ضروري في دراسة كل فعالية يقوم بها الكائن الحي ، فلغة العلم ، هي رموز ومصطلحات وتعبيرات احصائية ( العيسى ، 1973 : 3 ) .

والقياس بشكل عام مهم في كل العلوم ، فهي على اختلاف انواعها تقوم بتوجيه اهتمامها نحو دراسة العلاقة بين المتغيرات ( Variables ) ، في الميادين التي تبحثها لذلك يجب ان تكون هذه المتغيرات قابلة للقياس بشكل دقيق لنتمكن من در

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Publication Date
Wed Sep 01 2021
Journal Name
Baghdad Science Journal
Bioremediation Potential of Chlorella vulgaris and Nostoc paludosum on azo Dyes with Analysis of Metabolite Changes
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               Microalgae have been used widely in bioremediation processes to degrade or adsorb toxic dyes. Here, we evaluated the decolorization efficiency of Chlorella vulgaris and Nostoc paludosum against two toxic dyes, crystal violet (CV) and malachite green (MG). Furthermore, the effect of CV and MG dyes on the metabolic profiling of the studied algae has been investigated. The data showed that C. vulgaris was most efficient in decolorization of CV and MG: the highest percentage of decolorization was 93.55% in case of MG, while CV decolorization percentage was 62.98%. N. paludosum decolorized MG dye by 77.6%, and the decolorization percentage of CV was 35.1%. Metabolic profiling of

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Publication Date
Sat Aug 01 2015
Journal Name
2015 37th Annual International Conference Of The Ieee Engineering In Medicine And Biology Society (embc)
Influence of multiple dynamic factors on the performance of myoelectric pattern recognition
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Publication Date
Sun Sep 07 2014
Journal Name
Baghdad Science Journal
Deriving the Composite Simpson Rule by Using Bernstein Polynomials for Solving Volterra Integral Equations
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In this paper we use Bernstein polynomials for deriving the modified Simpson's 3/8 , and the composite modified Simpson's 3/8 to solve one dimensional linear Volterra integral equations of the second kind , and we find that the solution computed by this procedure is very close to exact solution.

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Publication Date
Fri Mar 01 2024
Journal Name
Partial Differential Equations In Applied Mathematics
A hybrid technique for solving fractional delay variational problems by the shifted Legendre polynomials
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This study presents a practical method for solving fractional order delay variational problems. The fractional derivative is given in the Caputo sense. The suggested approach is based on the Laplace transform and the shifted Legendre polynomials by approximating the candidate function by the shifted Legendre series with unknown coefficients yet to be determined. The proposed method converts the fractional order delay variational problem into a set of (n + 1) algebraic equations, where the solution to the resultant equation provides us the unknown coefficients of the terminated series that have been utilized to approximate the solution to the considered variational problem. Illustrative examples are given to show that the recommended appro

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Publication Date
Sun Dec 16 2018
Journal Name
Al-academy
Reflection of political variables in the design of the Journal cover
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the political changeable is important reflection in areas of life and the designers tried to high light it in the cover of Journal promised time Journal a fertile square to show reflection of political changeable, and triad  to  search  the  current  path. The  first  chapter organized according to axes, problem of  research formulated according to question:- what are reflections of political changeable in magazine cover?

    The importance of research depth of specialized approach on level of technical and stylistic as ago al ago as in: the baring of political changeable in design of journal's cover. The research moves in cognitive border from 2013 to 2017 and selection of t

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Publication Date
Thu May 21 2026
Journal Name
Aip Conference Proceedings
Solving linear fractional Fredholm integro-differential equations using linear programming method via different types of polynomials
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This article introduces a novel procedure to detect an approximate solution to Fredholm fractional integro-differential equations with linear type (LFFIDE) defined using Caputo fractional derivative. The new procedure approximates the solution using three types of polynomials: Laguerre polynomials, Hermite polynomials, and Legendre polynomials, thereafter transforming the problem into a linear programming problem. The approximate solutions are compared using testing examples to examine the efficiency of the suggested approach. Also, a comparison with the other methods using the same polynomials illustrates The effectiveness and consistency of the proposed technique. Finally, the error analysis of the proposed technique and convergent are di

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Publication Date
Sun Sep 22 2019
Journal Name
Baghdad Science Journal
Geometry, and Normal Modes of Vibration (3N-6) for Di and Tetra-Rings Layer (6, 0) Linear (Zigzag) SWCNTs; A DFT Treatment
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            Density Functional Theory (DFT) method of the type (B3LYP) and a Gaussian basis set (6-311G) were applied for calculating the vibration frequencies and absorption intensities for normal coordinates (3N-6) at the equilibrium geometry of the Di and Tetra-rings layer (6, 0) zigzag single wall carbon nanotubes (SWCNTs) by using Gaussian-09 program. Both were found to have the same symmetry of D6d point group with C--C bond alternation in all tube rings (for axial bonds, which are the vertical C--Ca bonds in rings layer and for circumferential bonds C—Cc in the outer and mid rings bonds). Assignments of the modes of vibration IR active and inactive vibration frequ

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Publication Date
Fri May 01 2020
Journal Name
Journal Of Oral And Maxillofacial Surgery, Medicine, And Pathology
Multiple endocrine neoplasia type 2B: Maxillofacial finding in one case
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Publication Date
Tue Oct 01 2013
Journal Name
Sensors And Actuators A: Physical
Enhanced energy harvesting using multiple piezoelectric elements: Theory and experiments
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