Thoughts of a mathematician. 10 May, 2014. Why we need Measure Theory. 30 Jul, 2013. Studying the Harmonic Numbers. 17 Jul, 2013. Using the Bertrand's Postulate. 15 Jul, 2013. Generalizing some Factorial Fractions. 14 Jul, 2013. 12 Jul, 2013.
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Victor Seixas Souza - Thoughts of a mathematician | blog.victorsouza.com Reviews
https://blog.victorsouza.com
Thoughts of a mathematician. 10 May, 2014. Why we need Measure Theory. 30 Jul, 2013. Studying the Harmonic Numbers. 17 Jul, 2013. Using the Bertrand's Postulate. 15 Jul, 2013. Generalizing some Factorial Fractions. 14 Jul, 2013. 12 Jul, 2013.
blog.victorsouza.com
Prime Exponents – Victor Seixas Souza
http://blog.victorsouza.com/prime-exponents
July 12, 2013. July 12, 2013. In mathematical olympics, some less known theorems can be useful tools to tackle seemingly difficult/impossible problems. Now, I’ll discuss an interesting formula which is attributed to Legendre and De Polignac. Suppose we try this IMO problem:. IMO-1972) Let m and n be arbitrary non-negative integers. Prove that. The naïve approach would be trying to cancel out the denominator, so we end up with an integer in the numerator. Let’s try out:. Notice how now we have. Now that w...
Number Theory – Victor Seixas Souza
http://blog.victorsouza.com/category/number-theory
Thoughts of a mathematician. There are 4 posts filed in Number Theory. Studying the Harmonic Numbers. The first series shown to diverge in most analysis courses is the Harmonic Series. Continue Reading →. July 30, 2013. Using the Bertrand’s Postulate. The Bertrand’s Postulate is one useful fact that allows a simple proof to very nice theorems. Continue Reading →. July 17, 2013. Generalizing some Factorial Fractions. Continue Reading →. July 15, 2013. Continue Reading →. July 12, 2013.
Discrete Mathematics – Victor Seixas Souza
http://blog.victorsouza.com/category/discrete-math
Thoughts of a mathematician. There is one post filed in Discrete Mathematics. Some topics in Mathematics allows so many different approaches that the fact itself being proved it’s no concern, but the methods involved in different approaches are invaluable. Continue Reading →. July 14, 2013.
Generalizing some Factorial Fractions – Victor Seixas Souza
http://blog.victorsouza.com/generalizing-some-factorial-fractions
July 15, 2013. July 15, 2013. Generalizing some Factorial Fractions. The integrality of some factorial fractions can be proved using the the formula for the exponent of a factorial. Now we are going to look for some generalizations. In fact, using the De Polignac formula, we have the integrality if and only if, for all prime. Which holds if holds for every. We reduce ourself to this inequality:. Proving this inequality completes the above fact. Assume that. So there is at least one. In fact, if. In fact,...
Using the Bertrand’s Postulate – Victor Seixas Souza
http://blog.victorsouza.com/using-the-bertrands-postulate
July 17, 2013. July 17, 2013. Using the Bertrand’s Postulate. Bertrand Postulate / Bertrand-Chevyshev Theorem). There is at least one prime. There are relatively simple and elementary proofs for this theorem, but it’ll be the theme of another post. Let’s focus now on some consequences of this fact. Let’s now change a little the assertion an say that for. There is always a prime. In fact, for even. We have a prime. So there is a prime in. We have a prime. So there is a prime in. Is not a prime, so. In thi...
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Relacionamento, Atitude e Consciência. Encontre o terreno para elevar suas qualidades. 8226; Escrito em Artigos. É comum acreditar que o mundo para ser o que é precisa ser separado em dois níveis, um superior e outro inferior. Para cada um deles nos condicionamos a eleger características aparentemente antagônicas: as que agimos acreditando serem as melhores e que nos diferenciam, e outras opostas as quais evitamos fortemente (. Continue lendo. ». O despertar da mente elegante. 8226; Escrito em Artigos.
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Victor Seixas Souza - Thoughts of a mathematician
Thoughts of a mathematician. 10 May, 2014. Why we need Measure Theory. 30 Jul, 2013. Studying the Harmonic Numbers. 17 Jul, 2013. Using the Bertrand's Postulate. 15 Jul, 2013. Generalizing some Factorial Fractions. 14 Jul, 2013. 12 Jul, 2013.
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