Preferred Language
Articles
/
ijs-5999
2-Rowed Plane Overpartitions Modulo 8 and 16

 In a recent study, a special type of plane overpartitions known as k-rowed plane overpartitions has been studied. The function  denotes the number of plane overpartitions of n with a number of rows at most k. In this paper, we prove two identities modulo 8 and 16 for  the plane overpartitions with at most two rows. We completely specify the  modulo 8. Our technique is based on expanding each term of the infinite product of the generating function of the  modulus 8 and 16 and in which the proofs of the key results are dominated by an intriguing relationship between the overpartitions and the sum of divisors, which reveals a considerable link among these functions modulo powers of 2.

Scopus Crossref
View Publication Preview PDF
Quick Preview PDF
Publication Date
Thu Sep 01 2016
Journal Name
Photonics And Nanostructures - Fundamentals And Applications
Scopus (3)
Crossref (3)
Scopus Clarivate Crossref
View Publication
Publication Date
Thu May 28 2020
Journal Name
Iraqi Journal Of Science
Application of the Two Rowed Weyl Module in the Case of Partitions (7,7) and (7, 7) / (1, 0)

The purpose of this paper is to study the application of Weyl module’s resolution in the case of two rows which will be specified in the partitions (7, 7) and (7, 7) / (1, 0), using the homological Weyl (i.e. the contracting homotopy and place polarization).

Scopus (3)
Scopus Crossref
View Publication Preview PDF
Publication Date
Sun Jan 04 2009
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Evaluation of isotretinoin gel and oral zinc sulphate in the treatment of plane warts

Background: Plane warts represent a common dermatological problem encountered in daily practice with no uniformly effective treatment modality.<br />Patients and methods: This study was conducted at the Department of Dermatology and Venereology of Baghdad Teaching Hospital / Medical City from April 2005 to June 2006. Fifty patients enrolled in the study and 36 completed it. Patients were instructed to apply isotretinoin gel once daily and keep on regular follow up every 2 weeks for one month to assess the esponse and side effects. At the end of the first month those with complete cure were instructed to stop therapy and keep on regular follow up to detect any recurrence.Patients with no response were divided into 2 groups. One grou

... Show More
Crossref (3)
Crossref
View Publication Preview PDF
Publication Date
Fri May 16 2014
Journal Name
International Journal Of Computer Applications
Crossref (4)
Crossref
View Publication
Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
New Techniques of Watermark Images using Bit Plane Slicing and Cubic-spline Interpolation

A watermark is a pattern or image defined in a paper that seems as different shades of light/darkness when viewed by the transmitted light which used for improving the robustness and security. There are many ways to work Watermark, including the addition of an image or text to the original image, but in this paper was proposed another type of watermark is add curves, line or forms have been drawn by interpolation, which produces watermark difficult to falsify and manipulate it. Our work suggests new techniques of watermark images which is embedding Cubic-spline interpolation inside the image using Bit Plane Slicing. The Peak to Signal Noise Ratio (PSNR) and Mean Square Error (MSE) value is calculated so that the quality of the original i

... Show More
Crossref
View Publication Preview PDF
Publication Date
Sun Jan 04 2009
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Gastric mucosal interleukine-8 (IL-8) and interleukine-1beta (IL-1ß) levels in atrophic gastritis and gastric carcinoma patients.

Background: Cytokines are the messengers of the immune system.They are mostly secreted by macrophages and lymphocytes and their production is induced in response to injury or infections.
Objective: Biopsy speciemens from the middle body of the stomach were obtained from 18 patients with gastric carcinoma, 32 patients with atrophic gastritis, 50 patients with chronic gastritis and 20 healthy subjects and IL-8 and IL-1B levels were detrmined.
Methods: Sandwich-type enzyme-linked immunosorbent assay kit was used to determine the IL-8 and IL-1B levels.
Results: IL-8 and IL-1B levels were significantly higher in gastric carcinoma patients than patients with atrophic gastritis and both significantly higher than healthy subjects.
C

... Show More
Crossref
View Publication Preview PDF
Publication Date
Tue Nov 19 2024
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of salivary levels of Proteinaceous biomarkers Matrix Metalloproteinase (MMP-8) and C-Reactive Protein (CRP) in type 2 diabetic patients with periodontitis

Background: Diabetes mellitus is a chronic metabolic disorder of the carbohydrate, protein and fat metabolism, resulting in increased blood glucose levels. Various complications of diabetes have been described with periodontitis being added as the sixth complication of diabetes mellitus. Matrix metalloproteinase-8 (MMP-8) has been identified as major tissue-destructive enzyme in periodontal disease. MMP-8 is released from neutrophils in a latent, inactive pro form and becomes activated during periodontal inflammation by independent and/or combined actions of host-derived inflammatory mediators .C-reactive protein is a systemic marker released during the acute phase of an inflammatory response. Subjects, materials and methods: Total samples

... Show More
View Publication Preview PDF
Publication Date
Fri Dec 29 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Temperature Effects on Intensity Distribution at Emage Plane

To evaluate the effects of the thermal analysis and temperature of the atmospheric heat on the optical system. it varying the thermal expansion  (positive  or  Negative  Values)  of  the  material  and  then changes the characteri of the optical system properties such as radius of curvetur of the surfaces, size of the aperture stop     ect.

This paper  had calculated the accepted ratio of the temperature variable   on the optical system during analyzing the effect of thermal analysis on the Radial Energy Distribution for +20C0 and +50C0  â€¢

View Publication Preview PDF
Publication Date
Sun Apr 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(7)

  The purpose of this work is to study the classification and construction of (k,3)-arcs in the projective plane PG(2,7). We found that there are two (5,3)-arcs, four (6,3)-arcs, six (7,3)arcs, six (8,3)-arcs, seven (9,3)-arcs, six (10,3)-arcs and six (11,3)-arcs.         All of these arcs are incomplete.         The number of distinct (12,3)-arcs are six, two of them are complete.         There are four distinct (13,3)-arcs, two of them are complete and one (14,3)-arc which is incomplete.         There exists one complete (15,3)-arc.
 

View Publication Preview PDF
Publication Date
Sun Apr 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(9)

  In this work, we construct and classify the projectively distinct (k,3)-arcs in PG(2,9), where k ≥ 5, and prove that the complete (k,3)-arcs do not exist, where 5 ≤ k ≤ 13. We found that the maximum complete (k,3)-arc in PG(2,q) is the (16,3)-arc and the minimum complete (k,3)-arc in PG(2,q) is the (14,3)-arc. Moreover, we found the complete (k,3)-arcs between them.

View Publication Preview PDF