About Me
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I am salah, I live in Jenin - westbank - Occupied Palestinian Authority Regions, I study Mathematics with minor in Computer Science, at Arab American University- Jenin(AAUJ), I am 20 years old, I like walking,reading,studying, making research,making new friends,programming languages, learning foreign languages, I like speaking German, If you want to practice joine me !!!!!! best wishes!
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Interests
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ohhhh please I am not a good guy, but I like reading, walking for long distances discussing with people and oriented conversation, I mean a conversation that has a specific aim, especially when it is deep in a topic not on the surface,also I like learning new languages, especially German, But I sometimes waste my time :(
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Favorite Movies
Action movies, wind talkers, maximum risk, hard target, lord of the rings,
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Favorite Books
First : Mathematics books, such as : Number Theory, Applied Mathematics, Ordinary and Partial Differential Equations, Real Analysis, and Complex Analysis,......
Second : Books in German , because I like German language.
Third : Books of statistics, because it is a branch of mathematics.
Fourth : Books of Computer SCience, like Digital Design, and Programming Languages,
Fifth : books on Engineering, and computational mathematics
Sixth : Books of Biology and Medicine
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hi5 Games
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Journal
Let we have the following form : ax+by=c, a,b,c are integers. Further I am interested in finding all the integral solution of this equation. This equation is called linear Diopantine equation in two variables. Today I will prove that this equations has a solution if and only if the greatest common divisor of a and b, divides c.Let d=gcd(a,b) and let x' and y' be a solution, then d|ax'+by' , which means that d|c. Now let d|c, then there is an integer t such that c=dt, but there is integers u and v such that d=au+bv, then c=(au+bv)t, which means that c=a(ut)+b(vt), thus ut,vt is a solution, and the proof is complete. Later I will formulate the general form of the solution.
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happy birth day