Game Theory is defined as a means of mathematical analysis when interests collide with each other to reach the best possible decision-making options taking into consideration the given circumstances to get the desired results. Even though Game Theory is related to well-known games such as checkers, XO, and poker. In fact, it is associated with more serious problems pertaining to sociology, economics, politics, military sciences. Game Theory includes several sorts of games like Combinatorial Games. This Paper gives the reader a detailed outlook of a special Combinatorial game called Nim Game. Before the start of the game we will develop a strategy to determine the winner in advance with the help of some basic mathematical concepts like Minimum Excluded (MEX), Grundy Numbers and The XOR Number.
{"title":"Predicting the Winner in the Game of Nim: توقُّع الفائز في لُعبة نِيم","authors":"Khaled Sliman Aloklah","doi":"10.26389/ajsrp.k150919","DOIUrl":"https://doi.org/10.26389/ajsrp.k150919","url":null,"abstract":" Game Theory is defined as a means of mathematical analysis when interests collide with each other to reach the best possible decision-making options taking into consideration the given circumstances to get the desired results. Even though Game Theory is related to well-known games such as checkers, XO, and poker. In fact, it is associated with more serious problems pertaining to sociology, economics, politics, military sciences. Game Theory includes several sorts of games like Combinatorial Games. This Paper gives the reader a detailed outlook of a special Combinatorial game called Nim Game. Before the start of the game we will develop a strategy to determine the winner in advance with the help of some basic mathematical concepts like Minimum Excluded (MEX), Grundy Numbers and The XOR Number. ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87105988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The purpose of the research is to reach the forecast of monthly electricity consumption in Gezira state, Sudan for the period (Jun 2018 - Dec 2020) through the application to the historical data of electric power consumption (Jan 2006-May 2018) obtained from the National Control Center, which has been applied in the research methodology of seasonal Autoregressive Integrated Moving Average due to seasonal behavior in the data, good forecast has been given by SARIMA (2, 1, 7) (0, 1, 1), which has been examined its quality using the Thiel coefficient. The study recommended the use of the model of seasonal Autoregressive Integrated Moving Average in data with Seasonal behavior due to its simple application and accuracy of the results reached.
{"title":"Application of SARIMA Model for Forecasting Consumption of Electricity in Gezira State, Sudan (2006-2018): تطبيقات نماذج ساريما للتنبؤ باستهلاك الكهرباء في ولاية الجزيرة, السودان (2006- 2018)","authors":"Nada Mohammed Ahmed Alamin","doi":"10.26389/ajsrp.a240719","DOIUrl":"https://doi.org/10.26389/ajsrp.a240719","url":null,"abstract":" The purpose of the research is to reach the forecast of monthly electricity consumption in Gezira state, Sudan for the period (Jun 2018 - Dec 2020) through the application to the historical data of electric power consumption (Jan 2006-May 2018) obtained from the National Control Center, which has been applied in the research methodology of seasonal Autoregressive Integrated Moving Average due to seasonal behavior in the data, good forecast has been given by SARIMA (2, 1, 7) (0, 1, 1), which has been examined its quality using the Thiel coefficient. The study recommended the use of the model of seasonal Autoregressive Integrated Moving Average in data with Seasonal behavior due to its simple application and accuracy of the results reached. ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82578189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Huda Abd- Al Mohaimen Al Droubi, Abd Al Hadi Mosta
In this study examined the changes in some materials by studying different types of positron annihilations, such as free annihilation, bound annihilation, para and ortho positronium annihilation, and found that the o- Ps annihilation passes through a free- annihilation stage called the "pick- off" annihilation. Also solved the equations of the positron annihilation in two ways, computationally and programmatically (using the scilab- 6.0.1 and Mathematica12) according to specific conditions, at the moment t= 0, positronium was not yet formed, In the first stage studied the free positron annihilation, in the second stage the annihilation of the p- Ps and in the third phase, the annihilation of the o- Ps was studied, and we have found that the coefficient of decrease in the number of free positrons at the same time reflects the probability of positronium formation. Studied the spectrum of the positron and positronium in both para and ortho and determine the positron case by solving the annihilation equations under different conditions and according to the life time of each case, this requires the study of the annihilation spectra of different materials to take advantage of this in the detection of defects in the material and improve the structure.
{"title":"Analytical Studying of Positron Annihilation Equations: دراسة تحليليّة لمعادلات الفناء البوزيتروني","authors":"Huda Abd- Al Mohaimen Al Droubi, Abd Al Hadi Mosta","doi":"10.26389/ajsrp.h040919","DOIUrl":"https://doi.org/10.26389/ajsrp.h040919","url":null,"abstract":" In this study examined the changes in some materials by studying different types of positron annihilations, such as free annihilation, bound annihilation, para and ortho positronium annihilation, and found that the o- Ps annihilation passes through a free- annihilation stage called the \"pick- off\" annihilation. Also solved the equations of the positron annihilation in two ways, computationally and programmatically (using the scilab- 6.0.1 and Mathematica12) according to specific conditions, at the moment t= 0, positronium was not yet formed, In the first stage studied the free positron annihilation, in the second stage the annihilation of the p- Ps and in the third phase, the annihilation of the o- Ps was studied, and we have found that the coefficient of decrease in the number of free positrons at the same time reflects the probability of positronium formation. Studied the spectrum of the positron and positronium in both para and ortho and determine the positron case by solving the annihilation equations under different conditions and according to the life time of each case, this requires the study of the annihilation spectra of different materials to take advantage of this in the detection of defects in the material and improve the structure. ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"79 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80996439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Amane Abu Alkhair Almalla, Berlent Sabry Mattit, M
The main aim to this research is to reduce the boundary value problem for fourth differential equation on geometric graph with cycles to a problem on a internal edge provided that the right hand side of the differential equation is identically zero on some subgraph of the original graph, and in this research we find the sign of some coefficients in the boundary conditions of the reduced problem and relationship between these coefficients. That's helping us to prove existence and uniqueness for a boundary value problem resulting from this reduction. In order to reach our desired goal, we study the reduction method of boundary value problem for fourth differential equation on tree geometric graph(no cycles), finally we can say that our research help us to study green function on edge(interval) instead of complex sty ding on geometric graph(with cycles).
{"title":"Reduction method for solving Boundary Value Problem on Graph to it's internal edge: طريقة التخفيض لحل مسألة قيم حدية على البيان إلى ضلع داخلي منه","authors":"Amane Abu Alkhair Almalla, Berlent Sabry Mattit, M","doi":"10.26389/ajsrp.a110919","DOIUrl":"https://doi.org/10.26389/ajsrp.a110919","url":null,"abstract":" The main aim to this research is to reduce the boundary value problem for fourth differential equation on geometric graph with cycles to a problem on a internal edge provided that the right hand side of the differential equation is identically zero on some subgraph of the original graph, and in this research we find the sign of some coefficients in the boundary conditions of the reduced problem and relationship between these coefficients. That's helping us to prove existence and uniqueness for a boundary value problem resulting from this reduction. In order to reach our desired goal, we study the reduction method of boundary value problem for fourth differential equation on tree geometric graph(no cycles), finally we can say that our research help us to study green function on edge(interval) instead of complex sty ding on geometric graph(with cycles). ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73173925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The main aim of this research is to study fingerprint matching based on the discrete two-dimensional Hartley transformation and its comparison with the discrete two-dimensional Wavelet transformation and the Gabor filter. In this research،a methodology based on extracting standard deviation and energy characteristics based on two-dimensional discrete time Hartley Transform for fingerprint matching was proposed according to an approved database of the University of Bologna and the FVC2002 database، The results obtained were compared with discrete wavelet transform (DWT) and experimental results showed that the methodology proposed using Hartley transform reduces the FAR from 21.48% to 16.74% according to the University of Bologna database and also from 31.29% to 28.69% according to FVC2002 database.
{"title":"Fingerprint Matching Based on Two- Dimensional Discrete Hartley Transform: مطابقة البصمات بالاعتماد على تحويل هارتلي ثنائي البعد المتقطع","authors":"Roqia Khaled Rdwan, Mohammed Mahmoud Amer","doi":"10.26389/ajsrp.r280819","DOIUrl":"https://doi.org/10.26389/ajsrp.r280819","url":null,"abstract":" The main aim of this research is to study fingerprint matching based on the discrete two-dimensional Hartley transformation and its comparison with the discrete two-dimensional Wavelet transformation and the Gabor filter. In this research،a methodology based on extracting standard deviation and energy characteristics based on two-dimensional discrete time Hartley Transform for fingerprint matching was proposed according to an approved database of the University of Bologna and the FVC2002 database، The results obtained were compared with discrete wavelet transform (DWT) and experimental results showed that the methodology proposed using Hartley transform reduces the FAR from 21.48% to 16.74% according to the University of Bologna database and also from 31.29% to 28.69% according to FVC2002 database. ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90333258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Most of companies wish to decrease maintenance and on the other hand having the same target with low weight and no friction although it may cost more, when a machine is built. Using flexural (also flexure) hinges in a system, at least, leads to all of these advantages. Considering a planar mechanical system consists of double ten bar mechanism with revolute joints, we replace each revolute joint with super elastic hinge. Doing so, we have a gate to build a system, strongly recommended, to achieve the same goal using minimum energy. The main purpose of this paper is to elaborate a mathematical apparatus able to estimate the deviations of the considered system before and after replacing revolute joints taking into account the real performance of the novel system through large bending displacements in the flexure (flexural) hinges.
{"title":"Accurate Analysis of Double Ten Bar Mechanism Linked by one joint: التحليل الدقيق للآلة العشارية المضاعفة بوصلة ذات مفصل ثابت","authors":"Salem Nazih Salem, Mustafa Rafik Hasan","doi":"10.26389/ajsrp.s180619","DOIUrl":"https://doi.org/10.26389/ajsrp.s180619","url":null,"abstract":" Most of companies wish to decrease maintenance and on the other hand having the same target with low weight and no friction although it may cost more, when a machine is built. Using flexural (also flexure) hinges in a system, at least, leads to all of these advantages. Considering a planar mechanical system consists of double ten bar mechanism with revolute joints, we replace each revolute joint with super elastic hinge. Doing so, we have a gate to build a system, strongly recommended, to achieve the same goal using minimum energy. The main purpose of this paper is to elaborate a mathematical apparatus able to estimate the deviations of the considered system before and after replacing revolute joints taking into account the real performance of the novel system through large bending displacements in the flexure (flexural) hinges. ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"76 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74146899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper aimed applying models of artificial neural networks to electricity consumption data in the Gezira state, Sudan for the period (Jan 2006- May 2018), and predicting future values for the period (Jun 2018- Dec 2020) by train a recurrent neural network using Quasi-Newton Sampling and using online learning. The study relied on data from the national control center. After applying artificial neural networks, The Thiel coefficient is used to confirm the efficiency of the model, and the paper recommends the use of artificial neural networks to various time series data due to their strength and Accuracy.
{"title":"(Application of Artificial Neural Networks Model for Forecasting Consumption of Electricity in Gezira State, Sudan (2006-2018: تطبيقات الشبكات العصبية الاصطناعية للتنبؤ باستهلاك الكهرباء في ولاية الجزيرة، السودان (2006-2018)","authors":"Nada Mohammed Ahmed Alamin","doi":"10.26389/ajsrp.n240719","DOIUrl":"https://doi.org/10.26389/ajsrp.n240719","url":null,"abstract":"This paper aimed applying models of artificial neural networks to electricity consumption data in the Gezira state, Sudan for the period (Jan 2006- May 2018), and predicting future values for the period (Jun 2018- Dec 2020) by train a recurrent neural network using Quasi-Newton Sampling and using online learning. The study relied on data from the national control center. After applying artificial neural networks, The Thiel coefficient is used to confirm the efficiency of the model, and the paper recommends the use of artificial neural networks to various time series data due to their strength and Accuracy.","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90301816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"([On Summability Of Double Fourier Series And It's Conjugate By Double Nörlund in The Space L_2 ([0,π]×[0,π : جموعية متسلسلة فورييه المضاعفة ومرافقتها بطريقة نيورلند المضاعفة في الفضاء ([L_2 ([0,π]×[0,π","authors":"Mohammad Mahmud Amer","doi":"10.26389/ajsrp.m030319","DOIUrl":"https://doi.org/10.26389/ajsrp.m030319","url":null,"abstract":"","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74844308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The study aimed to draw attention to the camel's hair available in Afif province and to give information about their physical and chemical properties, and improve their properties. The researchers' collected 50 samples of camel's hair, analyze, and then add improvement material. The study concluded that the Afif Province camel's hair have properties that can converted into textile materials. The softness are from 24.5 to 29 μ, (B and C1) according to the classification of the German system GER, and between 58 S And 60 S according to the classification of (USA, AUS, GRB). The thickness between 5.3 - 12 cn/ tex. The length between (3.8 - 25.5 cm), and the colors of camels hair (Brown, light brown, light creamy, dark creamy). The chemical properties were similar to the global chemical properties of wool, Absorption of moisture from 0.10% to 0.26%, the protein content from 52% to 95%, and its capable temperature to 140 °C without occur softness or fusion, and after 140 degree centigrade the decomposition occurs. Characteristics of the camel's hair can improve by adding some chemicals, such as acetic acid to improve the softness without affecting the durability, or by mixed with other fiber.
{"title":"Improve the physical and chemical properties of camel's hair fiber in Afif province: تحسين الخصائص الفيزيائية والكيميائية لشعيرات وبر الإبل بمحافظة عفيف","authors":"Leila Mahmoud Mokhtar, Enas Ibrahim Moussa","doi":"10.26389/ajsrp.l250519","DOIUrl":"https://doi.org/10.26389/ajsrp.l250519","url":null,"abstract":" The study aimed to draw attention to the camel's hair available in Afif province and to give information about their physical and chemical properties, and improve their properties. The researchers' collected 50 samples of camel's hair, analyze, and then add improvement material. The study concluded that the Afif Province camel's hair have properties that can converted into textile materials. The softness are from 24.5 to 29 μ, (B and C1) according to the classification of the German system GER, and between 58 S And 60 S according to the classification of (USA, AUS, GRB). The thickness between 5.3 - 12 cn/ tex. The length between (3.8 - 25.5 cm), and the colors of camels hair (Brown, light brown, light creamy, dark creamy). The chemical properties were similar to the global chemical properties of wool, Absorption of moisture from 0.10% to 0.26%, the protein content from 52% to 95%, and its capable temperature to 140 °C without occur softness or fusion, and after 140 degree centigrade the decomposition occurs. Characteristics of the camel's hair can improve by adding some chemicals, such as acetic acid to improve the softness without affecting the durability, or by mixed with other fiber. ","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77742946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we talk about Heisenberg group, the most know example from the lie groups. After that we discuss the representation theory of this group, and the relationship between the representation theory of the Heisenberg group and the position and momentum operatorsو and momentum operators.ors. ielationship between the representation theory of the Heisenberg group and the position and momen, that shows how we will make the connection between the Heisenberg group and physics. we have considered only the Schr dinger picture. That is, all the representations we considered are realized on the Hilbert space . we define the group Fourier transform on the Heisenberg group as an operator valued function, and other facts and properties. The main aim of our research is having the formula of Schr dinger Representation that connect physics with the Heisenberg group. Depending on this Representation we will study new formulas for some mathematical concepts such us Fourier Transform and .
{"title":"The role of Heisenberg group in Harmonic analysis: دور زمرة هايزنبرغ في التحليل التوافقي","authors":"Soha Ali Salamah","doi":"10.26389/ajsrp.s010719","DOIUrl":"https://doi.org/10.26389/ajsrp.s010719","url":null,"abstract":"In this paper we talk about Heisenberg group, the most know example from the lie groups. After that we discuss the representation theory of this group, and the relationship between the representation theory of the Heisenberg group and the position and momentum operatorsو and momentum operators.ors. ielationship between the representation theory of the Heisenberg group and the position and momen, that shows how we will make the connection between the Heisenberg group and physics. we have considered only the Schr dinger picture. That is, all the representations we considered are realized on the Hilbert space . we define the group Fourier transform on the Heisenberg group as an operator valued function, and other facts and properties. The main aim of our research is having the formula of Schr dinger Representation that connect physics with the Heisenberg group. Depending on this Representation we will study new formulas for some mathematical concepts such us Fourier Transform and .","PeriodicalId":16473,"journal":{"name":"Journal of natural sciences, life and applied sciences","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78163872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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