المستخلص يهدف هذا البحث الى تجاوز مشكلة البعدية من خلال طرائق الانحدار اللامعلمي والتي تعمل على تقليل جذر متوسط الخطأ التربيعي (RMSE) , أذ تم  استعمال طريقة انحدار الاسقاطات المتلاحقة  (PPR)    ,والتي تعتبر احدى طرائق اختزال الابعاد التي تعمل على تجاوز مشكلة البعدية (curse of dimensionality) , وان طريقة (PPR) من التقنيات الاحصائية التي تهتم بأيجاد الاسقاطات الاكثر أهمية في البيانات المتعددة الابعاد , ومع ايجاد كل اسقاط

     Let n be a positive integer and  denotes the number of overpartition triples. In this note, we prove two identities modulo 16 and 32 for . We provide a new method to reprove a result of Lin Wang for completely determining and  modulo 16. Also, we find and prove an infinite family of congruences modulo 32 for . The new method relies on expanding the fourth power of the overpartition infinite product together with the help of Gauss' identity.

The phenomenon of illegal immigration is a global phenomenon that threatens the security and stability of the majority of countries. This matter prompted the international community to exert efforts and cooperate in order to combat it or reduce its effects. This was done through the development regional levels to eliminate the phenomenon of illegal immigration.

The need for participants’ performance assessments in academia and industry has been a growing concern. It has attendance, among other metrics, is a key factor in engendering a holistic approach to decision-making. For institutions or organizations where managing people is an important yet challenging task, attendance tracking and management could be employed to improve this seemingly time-consuming process while keeping an accurate attendance record. The manual/quasi-analog approach of taking attendance in some institutions could be unreliable and inefficient, leading to inaccurate computation of attendance rates and data loss. This work, therefore, proposes a system that employs embedded technology and a biometric/ w

The actual observations for Jupiter radio storm were taken for Hawaii station within multi years from 2001 to 2012. The Central Meridian Longitude (CML_ІІІ) and Io's phase (γ_Io) were calculated for each year from Radio Jove program, the results of CML_ІІІ for year 2006 was A=(180-300)º,B=(15-239)º, C=(60-280)º, phase was A=(182-260)º,B=(40-109)º, C=(200-260)º, which were close to the theoretical values, longitude was A=(180-300)º, B=(15-240)º, C=(60-280)º and phase was A=(180-260)º,B=(40-110)º and C=(200-260)º.

     This paper introduces cutpoints and separations in -connected topological spaces, which are constructed by using the union of vertices set and edges set for a connected graph, and studies the relationships between them. Furthermore, it generalizes some new concepts.

  The research explain the developments in the structure of government Expenditure for the period (1990-2014), this period include tow different periods in terms of the conditions, the first period (1990-2002)characterized by imposing the economic sanctions and deny the Iraqi economy from the oil revenues, while the second period (2003-2014) marked by abundance resource rents as a result of lifting the ban on oil exports, (autoregressive Distributed lag Model) has been used to measure the impact of government Expenditure in both side current and investment in the oil-GDP (gross domestic product) and non oil-GDP, the stady found that there is no significant relationship between current Expenditure in non-oil and oil-GDP in bo

 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.

Hollow core photonic bandgap fibers provide a new geometry for the realization and enhancement of many nonlinear optical effects. Such fibers offer novel guidance and dispersion properties that provide an advantage over conventional fibers for various applications. Dispersion, which expresses the variation with wavelength of the guided-mode group velocity, is one of the most important properties of optical fibers. Photonic crystal fibers (PCFs) offer much larger flexibility than conventional fibers with respect to tailoring of the dispersion curve. This is partly due to the large refractive-index contrast available in the silica/air microstructures, and partly due to the possibility of making complex refractive-index structure over the fibe

Abstract:

This research aimed to shed light on the juristic rulings concerning those in debts. It adopted the inductive approach, the analytical approach and the comparative approach. It tackled the following issues: definition of Zakat, the channels of paying Zakat, definition of those in debts, types of those in debts, those in debts who are not entitled to take Zakat, their cases, spending money by those in debts if taken by those in debts and the poor, and when those in debts become rich before paying their debts, and the ruling on paying the debt of the dead indebted from the Zakat money.

The most important results of the research are as follows:

Muslim jurists