Where Do You Publish New Patterns?

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Discussion Overview

The discussion revolves around the process of publishing newly discovered mathematical patterns, particularly those involving prime numbers or simple numerical relationships. Participants explore avenues for formal publication and the criteria for establishing the novelty and significance of such patterns.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Edwin questions how to formally publish simple mathematical patterns that may not warrant a full paper.
  • Some participants suggest that simple patterns might already be known and encourage checking existing literature.
  • References to specific online resources for submitting sequences are provided, indicating potential venues for publication.
  • There is a suggestion that even short revolutionary papers can be impactful if they present new and interesting ideas.
  • One participant expresses skepticism about the originality of Edwin's pattern, implying that it may not be credible without formal proof.
  • Edwin acknowledges having previously shared the pattern in another forum thread.
  • Another participant emphasizes the need for formal proof, particularly for larger values of n, to gain serious consideration for the pattern.
  • Edwin shares that a professor at his college provided an informal proof regarding the pattern's validity concerning products of even and odd numbers.

Areas of Agreement / Disagreement

Participants express differing views on the originality and significance of simple patterns, with some suggesting they may already be known. There is no consensus on the best approach for publication or the necessity of formal proof.

Contextual Notes

Participants mention the importance of proving patterns formally and the potential limitations of informal proofs. The discussion reflects varying levels of skepticism regarding the novelty of simple mathematical patterns.

Who May Find This Useful

Mathematicians, students, and hobbyists interested in publishing mathematical discoveries or exploring the validation of numerical patterns may find this discussion relevant.

Edwin
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Suppose you discover a pattern involving prime numbers, or some other pattern in numbers that may be important to some mathematicians, but the pattern is so simple and straight forward that it does not really rate a whole paper to be written about it. Where do you submit simple patterns for publication? That is, if you discover a pattern in mathematics, how do you, formally, go about puting it out there?

Inquisitively,

Edwin
 
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If it is simple and straight forward... I have a feeling it's already been discovered. Have you looked at various publications in the field to make sure it hasn't already been discovered?
 
Well, if you're talking about patterns of primes or integers...

You may want to have a look at http://www.research.att.com/~njas/sequences/

and

http://www.research.att.com/~njas/sequences/Submit.html
 
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Thanks for the reference and input!

Best Regards,

Edwin
 
A revolutionary paper in maths can be as short as they come.
Be sure it actually is new and interesting, though.
 

Edwin, I am calling your bluff!
'New Patterns' are posted right here!
I am not hitting credibility, merely a form of dis-belief...
[/Color]
 
Your right!

I placed the new pattern here last year!

Best Regards,

Edwin
 
So...what's the pattern?
 
  • #10
I suspect you're going to need to prove your pattern formally before it will be taken very seriously. At least show that it is true for arbitrarilly large values of n using a computer. Going up to n=9 is not going to cut it.
 
  • #11
Yep,

That's the pattern.

I ran the pattern past the math department at my college, and one of the professors was able to prove, atleast informally, that all products of any two even numbers, and all products of any two odd numbers are contained in the pattern, if I remember correctly. He showed that the products of one even number and one odd number are excluded from the pattern. I'll have to ask him for the formal proof, if he constructed one.

If I remember correctly, I think he used the following algebraic identity


a*b = [(a+b)/2]^2-[(a-b)/2]^2

= (a^2+2a*b+b^2)/4 - (a^2-2*a*b+b^2)/4

4*a*b/4 = a*b

in a quick informal proof that all products of any two even numbers, and products of any two odd numbers are contained in the pattern.


Best Regards,

Edwin
 

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