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Number Theory/Expert Profile


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Expertise

I can answer all questions up to, and including, graduate level mathematics. I am more likely to prefer questions beyond the level of calculus. I can answer any questions, from basic elementary number theory like how to prove the first three digits of powers of 2 repeat (they do, with period 100, starting at 8), all the way to advanced mathematics like proving Egorov's theorem or finding phase transitions in random networks. I do not understand why Number Theory is not included in "Advanced Mathematics."

Experience in the area

I am a PhD educated mathematician working in research at a major university.

Organizations

AMS

Publications

Various research journals of mathematics. Various talks & presentations (some short, some long), about either interesting classical material or about research work.

Education/Credentials

BA mathematics & physics, PhD mathematics from a top 20 US school.

Awards and Honors

Various honors related to grades, various fellowships & scholarships, awards for contributions to mathematics and education at my schools, etc.

Past/Present Clients

In the past, and as my career progresses, I have worked and continue to work as an educator and mentor to students of varying age levels, skill levels, and educational levels.

Average Ratings

Recent Reviews from Users

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    K = Knowledgeability    C = Clarity of Response    P = Politeness
UserDateKCPComments
Harry09/25/14101010Simply the best!
Becky11/14/12101010Thank a trillion! So far no one .....
Samir07/27/12101010 
Samir07/02/12101010 
Samir07/02/12101010 

Recent Answers from Clyde Oliver

2014-09-25 Binary number confusion:

You are missing the decimal point:    31.500 = 11111.100  31.625 = 11111.101      The number "31.5" is not an integer, but you seemed to think it was equal to "11111100" which is an integer (no decimal

2012-11-14 Number Problem:

This is an old, and somewhat "cheesy," riddle.    The first line is 3.    Now what do you see? You see one 3.    That gives the second line, 13.    What do you see? You see one 1 and one 3.    That gives

2012-07-30 irrational numbers:

This is a complicated question - what makes the question hard to answer is the use of the word "why" -- it is one thing to say "can you show me that there are irrational numbers between 0 and 1?" but it

2012-07-02 Coprime numbers:

I assume the best possible resource would be the references listed in the Wikipedia article. This result is, as far as I can tell, a major pin in the theory of numbers, so it may not be mentioned or explained

2012-07-01 Coprime numbers:

Every pair produces three more pairs. You start with two pairs:    (2,1), (3,1)    Then each pair spawns three more pairs:    (m,n) = (2,1) gives the following:    (2m-n,m) = (3,2)  (2m+n,m) = (5,2)  (m+2n

 

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