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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
Mon Feb 04 2019
Journal Name
Journal Of The College Of Education For Women
The role of prophetic Sunna in solution of social problems
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Allah created the human from clay and made the system of marriage between male
and female as a reason for life continuity and human staying. This system produced an
organization called (the society) which is defined as a group lived in limited time and place.
Islam put fundamental and conditions of the righteous society in the Holy Quran and
prophetic sunna. Islam also put the solutions for problems (if they got) , naturally, these
problems may happened because of the nature of the life.
The problem of the research is summarized by that the problems of the society
enlarged in our Islamic society more than time ago. In the same time , some solution are
imported from west and east and from scientist and ignorant wit

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Publication Date
Sun Sep 07 2008
Journal Name
Baghdad Science Journal
Bioremoval of chromium from wastewater of tannery factory in Iraq
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Bioremoval of chromium from wastewater of tannery factory in Iraq was studied. The bacteria Proteus vulgaris 7E showed an enhanced capability in biosorping chromium when its concentration increased in the solution, reaching a maximum of 476,7 mg/ ml out of 492 mg/ ml under optimum conditions at pH 6 and 50°C at one hour contact time and biomass of 1 mg/ml. The present results showed that dead cells of P. vulgaris 7E biosorbed 87.41 mg/ml of chromium in comparison with91.18 mg/ml of chromium biosorbed by living cells, this indicates the insignificant effect of physiological state of cells. It was found that the above biosorption is physico-chemical process depends upon electrostatic attraction forces. The results has illustrated that the

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Publication Date
Mon Dec 20 2021
Journal Name
Bulletin Of The Iraq Natural History Museum (p-issn: 1017-8678 , E-issn: 2311-9799)
A SURVEY OF RUNNING CRAB SPIDERS PHILODROMIDAE (ARANEAE) OF ARMENIA
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Twelve species of philodromid crab or running crab spiders (Philodromidae) have been recorded in Armenia. Nine species are new to the spider fauna of this country: Philodromus cespitum (Walckenaer, 1802); Philodromus emarginatus (Schrank, 1803), Philodromus rufus Walckenaer, 1826; Rhysodromus histrio (Latreille, 1819), Thanatus atratus Simon, 1875; Thanatus formicinus (Clerck, 1757); Thanatus imbecillus L. Koch, 1878; Thanatus vulgaris Simon, 1870 and Thanatus pictus L. Koch, 1881.

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
synthesis and study of some mixed ligand complexes of caffeine
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I've been in this research preparation and diagnostic complexes mixed Kandat of Alcavaúan Alpiculan ion Althaaossianat with some metal ions has been reactive in ethanol solvent and distilled water by (1:1) and water complexes and lotions to the accounts of the metal in the complex

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Publication Date
Fri Jan 01 2021
Journal Name
Vestnik Of Lobachevsky University Of Nizhni Novgorod
STRUCTURE OF UTTERANCES WITH THE MEANING OF «CHANGE» IN RUSSIAN
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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
Development of six-degree of freedom strapdown terrestrial INS algorithm
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Many of accurate inertial guided missilc systems need to use more complex mathematical calculations and require a high speed processing to ensure the real-time opreation. This will give rise to the need of developing an effcint

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Publication Date
Wed Apr 01 2020
Journal Name
Technology Reports Of Kansai University
Complex of Lascoux in the General Case of Three Rows
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Publication Date
Tue Nov 11 2025
Journal Name
Imam Ja'afar Al-sadiq University Journal Of Legal Studies
Weaponization of outer space from the perspective of international law
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Publication Date
Sun Apr 01 2007
Journal Name
Journal Of Engineering
Effect of Prestressing Force on Torsion Resistance of Concrete Beams
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Publication Date
Fri Sep 05 2008
Journal Name
Journal Of Kerbala University
Synthesis of New type of tetrazoles starting from D-ribose
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This work includes synthesis of sugar tetrazole derivative, D-ribose reacted with acetone in the presence of sulfuric acid H2SO4 to give 2, 3-O-isopropylidene-D-ribose (1). The Aldol condensation of (1) with formaldehyde in methanolic K2CO3 solution gave 2-hydroxymethyl (2, 3-O-isopropylidene-D-ribose)(2). Which was tosylated by Tosyl chloride in pyridine to yield compound (3), SN2 reaction of (3) with sodium cyanide in DMSO afforded compound (4). The [2+ 3] cycloaddition reaction of (4) with sodium azide gave the targeted compound (5). All prepared compounds have been characterized by: TLC, Specific rotation, Microelemental analysis and [FTIR and 1 H NMR spectroscopy]