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Welcome! For years I have pursued amateur mathematical pursuits where I have needed a place to put those ideas out there. As I consider a future where others may know of my research and feel a need to contact me about their own, I recognize my own limitations in that area, and think that far more important than putting ideas before one person, is putting them potentially in front of very many.

Ideas are best tested when they are put forward so that others can consider them...

Group is open for anyone to join but messages from new users are moderated. Moderation policy primarily is to keep out spam.

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JSH, Michael Barry2

6/10/20

More Overview on Modular Inverse PDF

Also, if ax = 1 (mod m) let k = -m[sup]-1[/sup] (mod a) x = (km + 1)/a a = (km + 1)/x Example Find 17

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More Overview on Modular Inverse PDF

Also, if ax = 1 (mod m) let k = -m[sup]-1[/sup] (mod a) x = (km + 1)/a a = (km + 1)/x Example Find 17

6/10/20

JSH, Michael Barry3

6/1/20

Counting quadratic residue pairs

Cool! Here is a place to post. As have explained do not review math from others but want to provide a

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Counting quadratic residue pairs

Cool! Here is a place to post. As have explained do not review math from others but want to provide a

6/1/20

3/17/19

Why math discovery is fun PDF

Why math discovery is fun Have been pushing myself to focus more on folks who can check the math and

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Why math discovery is fun PDF

Why math discovery is fun Have been pushing myself to focus more on folks who can check the math and

3/17/19

1/11/19

Rejecting ME probably

Remember how distressed I felt years ago when realized the enormity of some of my discovery. And now

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Rejecting ME probably

Remember how distressed I felt years ago when realized the enormity of some of my discovery. And now

1/11/19

1/3/19

My math discovery and attention reality

Years ago found it harder to just accept mathematical logic with my own discoveries as kept trying to

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My math discovery and attention reality

Years ago found it harder to just accept mathematical logic with my own discoveries as kept trying to

1/3/19

JSH, … Saffron Waldon3

12/17/18

Reducing a binary quadratic Diophantine example

On Wednesday, November 7, 2018 at 3:11:06 PM UTC, Haydon Berrow wrote: Attached is a short note on

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Reducing a binary quadratic Diophantine example

On Wednesday, November 7, 2018 at 3:11:06 PM UTC, Haydon Berrow wrote: Attached is a short note on

12/17/18

12/14/18

So what really happened then? Executive summary.

Back in 1996, surprised myself by figuring out a basic modular approach to packing of spheres, which

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So what really happened then? Executive summary.

Back in 1996, surprised myself by figuring out a basic modular approach to packing of spheres, which

12/14/18

12/10/18

Still am surprised will admit

For years thought that discovery in and of itself would move things. But now with my own modular

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Still am surprised will admit

For years thought that discovery in and of itself would move things. But now with my own modular

12/10/18

11/3/18

Meta and my modular inverse method PDF

Meta and my modular inverse method Realized that self-reference is key to my way to calculate the

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Meta and my modular inverse method PDF

Meta and my modular inverse method Realized that self-reference is key to my way to calculate the

11/3/18

10/10/18

The Fibonacci Sequence and its relatives

My first attempt to post a pdf-file. I hope I haven't made a mistake.

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The Fibonacci Sequence and its relatives

My first attempt to post a pdf-file. I hope I haven't made a mistake.

10/10/18

7/23/18

With what ambitions? PDF

With what ambitions? Back summer 2002 was pivotal for me, because quite a bit had finally happened.

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With what ambitions? PDF

With what ambitions? Back summer 2002 was pivotal for me, because quite a bit had finally happened.

7/23/18

6/25/18

Some of my explanation PDF

Some of my explanation Mathematics is one of the most prestigious areas of human intellectual

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Some of my explanation PDF

Some of my explanation Mathematics is one of the most prestigious areas of human intellectual

6/25/18

4/19/18

Binary Quadratic Diophantine Iterator PDF

Binary Quadratic Diophantine Iterator It must be that if you have: u 2 + Dv 2 = F then it must also

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Binary Quadratic Diophantine Iterator PDF

Binary Quadratic Diophantine Iterator It must be that if you have: u 2 + Dv 2 = F then it must also

4/19/18

3/21/18

Advanced algebraic symbol manipulation PDF

Advanced algebraic symbol manipulation What I like to call tautological spaces are complex identities

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Advanced algebraic symbol manipulation PDF

Advanced algebraic symbol manipulation What I like to call tautological spaces are complex identities

3/21/18

JSH, Robert Kimera3

3/21/18

Math, innovation, disruption and explanation

On Wednesday, March 21, 2018 at 9:09:27 AM UTC-4, robkim55 wrote: Dear James, You seem to be having a

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Math, innovation, disruption and explanation

On Wednesday, March 21, 2018 at 9:09:27 AM UTC-4, robkim55 wrote: Dear James, You seem to be having a

3/21/18

3/18/18

Working with tautological spaces PDF

Working with tautological spaces Reaching for more handling with mathematical expressions found out

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Working with tautological spaces PDF

Working with tautological spaces Reaching for more handling with mathematical expressions found out

3/18/18

3/15/18

Definition of mathematical proof PDF

Definition of mathematical proof mathematical proof (noun): a mathematical argument that begins with

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Definition of mathematical proof PDF

Definition of mathematical proof mathematical proof (noun): a mathematical argument that begins with

3/15/18

2/4/18

Three Variable Quadratic Reduction PDF

Three variable quadratic reduction Have long talked my method for reducing binary quadratic

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Three Variable Quadratic Reduction PDF

Three variable quadratic reduction Have long talked my method for reducing binary quadratic

2/4/18

1/4/18

Large solutions to Pell's Equation

I have written a short article on this subject at <http://tumuluspi.blogspot.co.uk/2018/01/some-

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Large solutions to Pell's Equation

I have written a short article on this subject at <http://tumuluspi.blogspot.co.uk/2018/01/some-

1/4/18

12/11/17

When math is correct PDF

When math is correct Our math has developed with our species and greatly enabled much. Without math

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When math is correct PDF

When math is correct Our math has developed with our species and greatly enabled much. Without math

12/11/17

Haydon Berrow, … JSH57

12/10/17

The Coverage Problem - thread 1

On Thursday, December 7, 2017 at 8:18:57 PM UTC-5, Rotwang wrote: On Tuesday, November 28, 2017 at 4:

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The Coverage Problem - thread 1

On Thursday, December 7, 2017 at 8:18:57 PM UTC-5, Rotwang wrote: On Tuesday, November 28, 2017 at 4:

12/10/17

12/7/17

My Modular Inverse Method PDF

My modular inverse method Discovered there was a third primary way to figure out the modular inverse

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My Modular Inverse Method PDF

My modular inverse method Discovered there was a third primary way to figure out the modular inverse

12/7/17

Haydon Berrow, JSH34

11/30/17

The Coverage Problem - thread 3

On Thursday, November 30, 2017 at 2:30:01 PM UTC, JSH wrote: On Thursday, November 30, 2017 at 8:44:

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The Coverage Problem - thread 3

On Thursday, November 30, 2017 at 2:30:01 PM UTC, JSH wrote: On Thursday, November 30, 2017 at 8:44:

11/30/17

Haydon Berrow, JSH18

11/30/17

The Construction - thread 1

On Thursday, November 30, 2017 at 8:20:05 AM UTC-5, Haydon Berrow wrote: If I type "define:

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The Construction - thread 1

On Thursday, November 30, 2017 at 8:20:05 AM UTC-5, Haydon Berrow wrote: If I type "define:

11/30/17

11/26/17

But does it factor? PDF

But does it factor? One of my first results with what I now call the BQD Iterator was talked couple

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But does it factor? PDF

But does it factor? One of my first results with what I now call the BQD Iterator was talked couple

11/26/17

Haydon Berrow, JSH8

11/14/17

The Coverage Problem - thread 2

On Tuesday, November 14, 2017 at 4:57:07 AM UTC-5, Haydon Berrow wrote: We seem to be at an impasse.

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The Coverage Problem - thread 2

On Tuesday, November 14, 2017 at 4:57:07 AM UTC-5, Haydon Berrow wrote: We seem to be at an impasse.

11/14/17

11/10/17

How number theory got messed up PDF

Attached is a PDF with an introductory post, followed by main post on a historical miss. Talk how

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How number theory got messed up PDF

Attached is a PDF with an introductory post, followed by main post on a historical miss. Talk how

11/10/17

10/30/17

Simple Generalized Quadratic Factorization

Simple Generalized Quadratic Factorization Important in my research is a simple generalization of the

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Simple Generalized Quadratic Factorization

Simple Generalized Quadratic Factorization Important in my research is a simple generalization of the

10/30/17

10/30/17

When Numbers Interest PDF

More recently have been looking more to what I call number authority, with demonstrations of number

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When Numbers Interest PDF

More recently have been looking more to what I call number authority, with demonstrations of number

10/30/17

10/24/17

Two squares, 2 and powers of 5

4 2 + 3 2 = 5 2 13 2 + 9 2 = 2(5 3 ) 7 2 + 24 2 = 5 4 79 2 + 3 2 = 2(5 5 ) 44 2 + 117 2 = 5 6 307 2 +

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Two squares, 2 and powers of 5

4 2 + 3 2 = 5 2 13 2 + 9 2 = 2(5 3 ) 7 2 + 24 2 = 5 4 79 2 + 3 2 = 2(5 5 ) 44 2 + 117 2 = 5 6 307 2 +

10/24/17

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