Various are the Scientific researches and studies, which clarify how mathematical equations are involved in mathematical modulation operation of spot heat source that is used for local surface heating (or melting) of metals & metallic alloys. But thi
s
modulation for spot heating source, which produces high values of heating and cooling speeds, haven't been studied yet because of the complexity of mathematical equations on one hand, and the difficulty to reach a simplified mathematical module, through
which approximate (facility and limited) calculations can be performed for the dimensions of the heat-treated part of metallic alloy's surface by this heating source before beginning with practical applying procedures on the other hand.
A simple mathematical module was invented through this research, which can be used to calculate the depth of the heat-treated layer, which is produced using spot heating source (Laser CO2) for different sorts of carbon steel (various in carbon continent), before beginning of the practical applying procedures to the surface heat treatment of this steel. Laser input parameters (power & linear speed of Laser beam, heattreatment time, metal's heat-physical specifications) and output parameters (depth of heat-treated zone) have to be taken into consideration when using this Mathematical
module. The higher discrepancy among experimental values of laser beam heat-treated zone s depth for two kinds of carbon steel, for different powers of the beam and various linear speeds, and its calculating similarities, does not exceed 16 % in many cases.
The mathematical module which had been invented in this research is characterized by simplicity and the easiness to be used, comparing with many suggested modules for such cases, and that is through the usage of the estimation of depth wanted to be done in the surface of some alloy steel with specific usage.
The primary usages of this mathematical module showed that it has future horizons with special importance, so that this module can be developed to be used in estimating the width of the heat-treated zone as well as its depth on one hand, and this module can be a basis to build another mathematical module through which the estimation of the melt carbon rates of in the net frames of the heat-treated zone's phases can be done, and so estimating the hardness values to these phases , on the other hand.
This study aims to find the best social and economic factors that affect the number of students in higher education using the descriptive analysis approach, and find the mathematical model that connects the principal components representing the socia
l and economic factors and the number of students in higher education in Syria.
The most important results that have reached were the principal components
representing the social and economic factors, after doing the orthogonal rotation and was representing the first component (number of members the labor force that are gainfully) employed, the number of population per health doctor, number of members, the labor force that are self-employed, number of members the labor force that are unmarried, number of population per dentist, higher education budget, and number of nurses. And the four thcomponent (number of members the labor force that are married), both components affected positively on the number of students in higher education, the second component (economic activity rate of the human power, average number of people per pharmacist, number of members the labor force that are gainfully unemployed, the third component (number of members the labor force that are divorced and widowed) affected negatively on the number of students in higher education.
نقدم في هذا البحث مجموعة من النماذج الرياضية التي تقبل التعميم لدراسة و تخطيط موارد
القوى العاملة بجميع أبعادها ، كما تسمح هذه النماذج بتحديد التركيبة المّثلى وفقًا لمجموعة من
المعايير و استخدامها استخدامًا رشيدًا في تنفيذ خطط التنمية الاقتصادية – الاجتماعية على النحو
الأفضل .
قدم البحث كيفية النمذجة الریاضية لعناصر أنظمة محطات الطاقة الحراریة بهدف تحدید بارامترات
النظام الحراري (بعض البارامترات الترمودیناميكية الأساسية، التدفق الكتلي و الطاقي في الجریانات
بين عناصر محطة الطاقة الحراریة) .
Soil water erosion is one of the most important factors of soil
degradation. Soil erosion is a process that causes loss of big
amounts of nutrients and organic matter from the topsoil layer and
pollutes the surface water bodies. The USDA- WEPP (Wa
ter
Erosion Prediction Project erosion model) represents a new
generation technology for estimating soil loss by water erosion and
sediment delivery from hillslopes and small watersheds. The main
purpose of this study was evaluating the capability of WEPP model.
In this paper, we introduce a continuous mathematical model to
optimize the compromise between the overhead of fault tolerance
mechanism and the faults impacts in the environment of
execution. The fault tolerance mechanism considered in this
rese
arch is a coordinated checkpoint/recovery mechanism and the
study based on stochastic model of different performance critics of
parallel application on parallel and distributed environment.
