احصاء - ماجستير

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    Representation Theory of Finite Group with Some Applications
    (AL-Neelain University, 16) Hiba NasrEldin Mohamed
    This research aims to study the representation theory as a tool that transform abstract groups to groups of linear transformations easy to deal with. This research depends on groups and fields theory and vector spaces to construct the structure of these spaces. We studied vector spaces because of structures. In particular we dealt with finite groups and we gave some applications.
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    تحليل أثر استعمال الصمغ في حفظ بيض الدواجن عند درجات حرارة مختلفة
    (2006) امانى حسين ضو البيت
    Abstract This research followed an analytical methodology in the analysis of data concerning the experiment of using gum in the preservation of some poultry eggs at different degrees of temperature, in which detailed description of data was carried out to explain the independent variables and variables associated with them, the appropriate design for analysis and how to use it; and also the explanation of factorial experiment with two factors and two levels on the research data, The Complete Randomized Design (CRD) was applied . The data was put in tables that are suitable for manual analysis; and lastly the data was analyzed using the computer programme SPSS, and knowledge of the effect’ of each of gum, temperature degree and overlapping between them in the preservation of poultry eggs . The results were discussed and action was taken about them .
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    التحليل الاحصائي لوفيات حوادث المرور في ولاية الخرطوم للفترة من 1993 -2002م
    (2006) مي صلاح الدين محمد شقلاوي
    ABSTRACT Sudan generally faces several and variant problem , among these traffic accidents in the state of Khartoum. This problem has become very critical due to several reasons. Data of this study has been collected of the concerned sources taken out of a selected group of variables, which have direct impacts upon traffic accidents. This data has been analized through linear pattern multi slope analysis. That is because it is considered the suitable approach if we want to investigate into effects upon the dependent variable to a group of in dependent variables at acknowledge point of time. This study focuses generally upon factors that affect traffic accidents between 1993-2002. Analysis has disclosed the high significances of pattern and its ability as to interpret changes upon the dependent variable .yet , SPSS , with step wise method its reject the three dependent variables : the second one is mini bus , the third is buses and the fifth is the tax ,these have little effects upon the dependent variable , and accept the first one is the private vehicles and fourth one is boxes . In the light of the analized variables, researcher recommend state interference in controlling and reducing car import process That’s beside controlling car liecence and drivers liecence and pedestrian awareness.
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    تحليل السلاسل الزمنية لعلاقة الإصابة بالملاريا مع بعض العوامل المناخية والديمغرافية في السودان
    (2003) عواطف محمد النور
    ABSTRACT This dissertation studies the relation between the lllt‘l(l€l‘lt‘t‘ of Malaria and weather indicators (temperature. relative humidity, rainfall and wind-speed) in addition to lllt number of population The study covers three different geographical areas which are the state of Khartoum, Gazira and the Northern tlLll'lllI‘ the time period of (1998-2002). The analyzed data of malaria eases were collected from hospitals (inpatients) monthly record and the influence ol the weather data was registered in meteorological publie corporation. The population data was collected from the Central Bureau of Statistics by using the transfer lunction models The research is constituted of an introduction about malaria sickness, the behavior of vector mosquitoes and the way ol data collection was exposed, as the numbers of incidence oi malaria, weather indicators and numbers of population. A statistical description of the variables of the study and the analysis of the data was conducted and the study ~. ame lt some important points which are as follows: Khartoum state is an endemic area of malaria lll which there is a progressive tendency in the numbei of malaria cases. The research through statistical analysis showed strong correlations bet\reen tht rainfall, population and the incidence of lllt malaria. Gezira state is depicted as a region in which malaria is an endemic disease. However, the analysis showed a decrease in number of the malaria cast->. in past years. The analysis shows that there is strong correlation between the climatic lactor.~- (rainfall, minimum of temperature and relati\-<- humidity) and the incidence of malaria. The analysis of data of the Northern state \'ll()\\'t'tl that it is not a malaria endemic region. l|'l\\'L‘\'t‘I through the analysis we get strong Co1'1't"latio1i,\ between climatic factors (minimum and maxinium of temperture) and the incidence of malaria.
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    ARIMAالتحليل الإحصائى في السودان (1970 - 2001) بالتطبيق علي السلاسل الزمنية ونماذج
    (2003) بلقيس محجوب حسن بادي
    Abstract. This Study deals with the analysis of Inflation in Sudan during period (1970-2001) applying Time Series and Autoregressive Integrated Moving Average (ARIMA) models ~ The Study is based upon the hypotheses that relationship between Inflation in the time t , Y, and before it t-I , Y,_| Y: Z 7~1Yi-1 + $1 under the assumption E [Q] = 0 E [e,es]=52e , if t=s = 0 , if tvé s E IQY:-ll = 0 The study tackled the analysis of Inflation by using the regression and ARIMA models analysis for estimating and forecasting the Inflation in Sudan - The Study concludes that : 1) The ARlMA(l,1,0) model , mh = —0.287AY,_1 , Is best model for forecasting the Inflation in Sudan - 2) The Inflation in the year 2002 had high rate - The Study recommends the following points : I) The work for constant Exchange price - 2) Opening new markets for Sudan foreign trade
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    مستوى الأداء الأكاديمي مقارنة بين طلاب الشهادتين السودانية والعربية في الجامعات السودانية
    (2007) عمر محمد حمد عدلان
    ABSTRACT As a statistical population , the students of the Sudanese universities are grouped in to two main groups, which are Sudanese or Arabian high secondary school graduates. According to the admission term of the Sudanese students, previous groups are splited internally into two subgroups, which are general or private qualified students . This study aimed to compare the academic performance of the students , estimating the arithmetic mean for each subgroup and applying the formulae of random sampling . The hypothesis that a higher performance is expected for: - Sudanese certificate holder than Arabian certificate holder. - General qualified students than private qualification students. The justification is included within the study . The empirical results of the statistical analysis confirmed the above-mentioned hypothesis . It should be mentioned that this study focused on a single faculty , but most of the characteristics of the study population were available at a reasonable representation percentage .
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    تطبيقات السلاسل الزمنية علي الايرادات النقدية لشركة الخطوط البحرية السودانية المحدودة في الفترة من 1974م الي 2001م
    (جامعة النيلين, 2002) هنادي عبدالله
    ABSTRACT The research deals with "The Applications of Time series in the Financial Revenues of Sudan Shipping Line C0. in The Period 1974 to 2001 ". The research contains five chapters: the first one includes the problem of the research, its objectives, study hypotheses, frame of the study and prior studies. The Second Chapter devotes to the establishment and development of the company, its capital, fleet progress, operational and commercial development and the fleet building fund, also the Company strategic dimensions such as the Economical, Political, national Security and the Cultural dimensions. Beside that the local and international obstacles have been facing the Company up to now. In addition to the agreements, projects, financial performance and the situation of the Company loans had been achieved. The future plan include the integrated and specialized services projects. The current problems and the proposed solutions had been added. V ' The Third Chapter contains the definition of time series, its components such as the secular trend, seasonal, random and cyclical variations. Also, the importance of the time series analysis, its models, the secular trend estimation methods such as the graphic, semi — average, moving averages and the least squares methods. Also, this chapter devote to the correlation and determination coefficients and F, t tests. In addition to, the properties of estimator and finally the econometric problems. The fourth Chapter represents the results of the data analysis which is multi regression analysis. The fifth chapter, the last, deals with the conclusion and the recommendations. The references and appendixes are in the end of the research.
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    Differntial Equations on Manifolds
    (جامعة النيلين, 2004) Nidal Hassan Elbadawi Eljaneid
    A manifold is a topological space where any neighborhood of a point looks like an open set in a Euclidean space . Thus a diffeomorphism yields an equivalence relation such that two manifolds are not only topologically equivalent but also have equivalent differentiable structures . In this research we utilized Lie-group in solving differential equation The Lie-algebra will be determined by the tangent space T(G,e) at e and the action of G determines the values of the vector fields at any other point in G. One of the most appealing applications of Lie-group theory is to the problem of integrating ordinary differential equations, Lie's fundamental observation was that knowledge of a sufficiently . Large group of symmetry of the system of ordinary differential equation allows one to integrate the system by quadratures and thereby deduce the general solution. This approach unifies and significatly extends the various special methods introduced for integration of certain types of first order equation such as homogeneous , separable ,exact and so similar results hold for system of ordinary differential equation . Symmetry group can also be used to aid in the solution of higher order ordinary differential equation . تبحث هذه الدراسة في متعددة الجوانب والتي تعرف بأنها الفضاءات التبولولجيية التي تشبه فيها جوار أي نقطة مجاورة مجموعة مفتوحة في الفضاء الإقليدي . لذا فإن الأشكال الثنائية تعطي علاقة متساوية بحيث تكون ثنائية الجوانب متساوية تبولوجياً ولها تراكيب يمكن تفاضلها .تبحث هذه الدراسة في إستخدام زمـر (لي ) . تستخدم زمـر (لي) في حل المعادلات التفاضلية حيث تحدد (لي) جبرياً بالفضاء المماس والذي يعطي بالعلاقة T(G,e) حيث يحدد عمل G قيم مجال المتجهات عند أي نقطة بالنسبة لـ G . واحدة من التطبيقات المهمة لنظرية زمـر (لي) هي حل مسائل معادلات التكامل التفاضلي الاعتيادية حيث نجد أن واحدة من الملاحظات الأساسية لنظرية زمـر (لي) أن معرفة مجموعة كبيرة بما فيه الكفاية لمتناظرات نظام المعادلات التفاضلية الاعتيادية تسمح بحساب تكامل النظام بواسطة التربيع وبالتالي يمكن إيجاد الحل العام . هذه الطريقة تمتاز بأنها توحد وتوسع بصورة هامة المجالات الخاصة المتعددة التي تستخدم لتكامل بعض أنواع معادلات الدرجة الأولي مثل المتجانسة ، المنفصلة ، المحددة … الخ . ويمكن التوصل لنفس النتائج بالنسبة لمعادلات التفاضل الاعتيادية أيضاً حيث يمكن استخدام الزّمر المتناظرة للمساعدة في حل معادلات التفاضل الاعتيادية من الدرجة العليا.