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Basic terms of Graph Theory
Degree of a Vertex Undirected Graph: The number of edges incident to the vertex. Digraph (Directed Graph): Split into in-degree (incoming...
Istvan Benedek
Apr 10, 20243 min read
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Counting and Probability
Principle of Inclusion and Exclusion This principle is a method for counting the number of elements in the union of several sets. It...
Istvan Benedek
Feb 28, 20243 min read
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Introduction to Number Theory
Kayhan ErciyeÅŸ writes in the 6th Chapter of his book, "Discrete Mathematics and Graph Theory", the following about Introduction to Number...
Istvan Benedek
Feb 28, 20243 min read
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Sequences, Induction and Recursion
Kayhan ErciyeÅŸ writes in the 6th Chapter of his book, "Discrete Mathematics and Graph Theory", the following about Sequences, Induction...
Istvan Benedek
Feb 27, 20244 min read
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Proving theorem
Kayhan ErciyeÅŸ writes in the 2nd Chapter of his book, "Discrete Mathematics and Graph Theory", the following about the Proving theorem:...
Istvan Benedek
Feb 18, 20243 min read
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Apple M3 + Maple?!
So, finally, I have made the decision, and I decided to give it a try to the product of the Maplesoft. It was not as easy to order the...
Istvan Benedek
Feb 5, 20241 min read
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![Extension of the problem a*b is unique for a,b in [n^2... (n+1)^2-1]](https://static.wixstatic.com/media/80fd94_19c8f44555264a4e995a65512a546ec0~mv2.png/v1/fill/w_333,h_250,fp_0.50_0.50,q_35,blur_30,enc_avif,quality_auto/80fd94_19c8f44555264a4e995a65512a546ec0~mv2.webp)
![Extension of the problem a*b is unique for a,b in [n^2... (n+1)^2-1]](https://static.wixstatic.com/media/80fd94_19c8f44555264a4e995a65512a546ec0~mv2.png/v1/fill/w_452,h_339,fp_0.50_0.50,q_95,enc_avif,quality_auto/80fd94_19c8f44555264a4e995a65512a546ec0~mv2.webp)
Extension of the problem a*b is unique for a,b in [n^2... (n+1)^2-1]
I have recently found this mathematical statement of Pál Erdős: If we take two arbitrary numbers, a and b, from the range of [n^2 ......
Istvan Benedek
Jan 24, 20242 min read
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Observation to Goldbach's conjecture
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every...
Istvan Benedek
Jan 14, 20242 min read
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Number pyramid
Here is the code for building up a number pyramid where the line goes from n^2+1 up to (n+1)^2 and the output looks like this (primes are...
Istvan Benedek
Jan 13, 20241 min read
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![Bertrand's Postulate + Chat GPT = FALSE proof of [n^2...(n+1)^2] always contains a prime](https://static.wixstatic.com/media/80fd94_b54443bbf21a4ca5bf7a66bcdef0a126~mv2.png/v1/fill/w_333,h_250,fp_0.50_0.50,q_35,blur_30,enc_avif,quality_auto/80fd94_b54443bbf21a4ca5bf7a66bcdef0a126~mv2.webp)
![Bertrand's Postulate + Chat GPT = FALSE proof of [n^2...(n+1)^2] always contains a prime](https://static.wixstatic.com/media/80fd94_b54443bbf21a4ca5bf7a66bcdef0a126~mv2.png/v1/fill/w_452,h_339,fp_0.50_0.50,q_95,enc_avif,quality_auto/80fd94_b54443bbf21a4ca5bf7a66bcdef0a126~mv2.webp)
Bertrand's Postulate + Chat GPT = FALSE proof of [n^2...(n+1)^2] always contains a prime
I have been focusing on another interesting problem (https://www.ibenedek.com/post/extension-of-the-problem-of-a-b-in-n-2-n-1-2-1-then-a-...
Istvan Benedek
Jan 13, 20241 min read
15 views
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Divisible by 7
I've just bumped into an interesting method to figure out if p is congruent to 0 modulo 7. So let's take a 3-digit number 378, e.g....
Istvan Benedek
Jan 10, 20241 min read
28 views
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P. Gács and L. Lovász: Complexity of Algorithms
A Pretty good book in English (the Hungarian version is available as well). This book is a must-have read for everybody who would like to...
Istvan Benedek
Jan 6, 20241 min read
21 views
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Matlab/Maple/Mathematica?
I have just installed these great applications and am trying to figure out which product would fit my needs until the end of the trial.
Istvan Benedek
Jan 4, 20241 min read
11 views
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Heritage of Hungarian mathematicians
We Hungarians are extremely fortunate, this is what I think many times. We have an amazing heritage of these giant mathematicians, John...
Istvan Benedek
Dec 27, 20231 min read
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