MATHEMATICAL TRIPS
Wednesday, October 24, 2012

October 23 - ONU Mathematics Seminar on a-T-menability

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Friday, October 19, 2012

The Role of Research at Undergraduate Institutions

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An excellent article by Robert Gavin, in "Academic Excellence - The role of research in the physical sciences at undergraduate institut...
Tuesday, December 6, 2011

GPF sequences in Rutgers' Experimental Mathematics Seminar

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Apparently the sequences introduced in the Fibonacci Quarterly paper by Greg Back and myself have been discussed in the RUTGERS EXPERIMENTAL...
Thursday, June 30, 2011

GPF sequences - a forum discussion

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A discussion of the paper "The Greatest Prime Factor and Related Sequences" (JP Journal of Algebra, Number Theory and Application...
Monday, June 20, 2011

An Euler-Fibonacci Sequence

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An Euler-Fibonacci Sequence by Mihai Caragiu and Ashley Risch Far East Journal of Mathematical Sciences , Volume 52, Issue 1, Pages 1 - 7 ...
Monday, May 23, 2011

Undergraduate research: what is that ?

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The Council on Undergraduate Research defines it as follows: ``An inquiry or investigation conducted by an undergraduate student that make...
Monday, March 7, 2011

Ion Barbu: matematică, poezie şi arte (un citat concis...)

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Matematicile pun în joc puteri sufleteşti care nu sunt cu mult diferite de cele solicitate de poezie şi de arte. ( Ion Barbu ; sursa - c...
Tuesday, February 22, 2011

music and computation

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Gottfried Wilhelm Leibniz 's view on music ( 'the hidden arithmetical exercise of a mind unconscious that is calculating' ) has ...
Monday, January 24, 2011

Fractals and partitions

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A recent major breakthrough is announced here (Emory University's site, eScienceCommons ). Looks like ultimately periodic sequences ma...
Monday, November 1, 2010

New paper. GPF-Tribonacci sequences

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Starting with 5, 13, 7, each subsequent term is the greatest prime factor of the sum of the previous three terms. More about this type of s...
Monday, October 25, 2010

The "phi-bonacci" sequence - an update

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More data on the "phi-bonacci" sequence introduced previously here , after computing the first 500 terms: a plot of the sequence...
Friday, October 22, 2010

GPF stability?...

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A visual on the behavior of the same recurrence as before , only with a different initial condition (an 8-digit prime, picked at random) L...
Thursday, October 21, 2010

A recurrence with primes inspired by a formula of Ramanujan

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Inspired by the linear component appearing in the numerators of the terms of the Ramanujan's formula for pi , I looked into the recurren...
Thursday, September 9, 2010

A "phi-bonacci" sequence and its consecutive quotients

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A most interesting sequence: "phi-bonacci" ?... X(0)=0, X(1)=1 X(n)=phi ( X(n-1)+X(n-2)+1 )  if n is at least 2 , where phi...
Monday, August 16, 2010

Eadem mutata resurgo

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Commemorating Jacob Bernoulli... Eadem mutata resurgo "Though changed I shall rise the same" Inscribed on Jacob Bernoulli ...
Sunday, August 1, 2010

Beauty in Mathematics

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Michael Atiyah - Beauty in Mathematics
Friday, July 30, 2010

Structure and Randomness in the Prime Numbers (Terence Tao)

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Terence Tao: Structure and Randomness in the Prime Numbers, UCLA Slides: pdf , powerpoint Lecture for a general audience: Terence Tao is...
Tuesday, July 27, 2010

Johann Bernoulli (1667 - 1748) anniversary

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Johann Bernoulli (1667 - 1748) was born on July 27, 7^3 years ago, in Basel, Switzerland. He was Euler's "mathematical parent...
Wednesday, July 21, 2010

A traffic flow simulation

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This traffic flow educational project with Matlab features a gradually increasing car density starting from an initial value of 0.2. There a...
Tuesday, July 6, 2010

Lothar Collatz anniversary

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Lothar Collatz , who proposed (in 1937) the celebrated "3n+1 problem" , was born 100 years ago in Arnsberg, Germany. Mac Tutor ...
Saturday, June 5, 2010

A Thermodynamic Classification of Real Numbers

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I just found a very interesting paper presentation (JNT on YT - link ) by Thomas Garrity (Williams College) - " A Thermodynamic Classif...
Wednesday, May 5, 2010

Élie Cartan (1869-1951)

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Élie Cartan had significant contributions in areas such as Lie theory, differential geometry, exterior differential forms, the theory of ...
Thursday, April 29, 2010

Paul Montel (1876-1975)

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Paul Antoine Aristide Montel , Honorary Member of the Romanian Academy , advisor of Henri Cartan, Jean Dieudonné, Miron Nicolescu, Tiberiu P...
Saturday, April 24, 2010

Max Planck on consciousness

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"I regard consciousness as fundamental. I regard matter as derivative from consciousness. We cannot get behind consciousness. Everythin...
Thursday, April 22, 2010

Marius Dabija (13 ianuarie 1969-22 iunie 2003)

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De pe blogul lui Florin : Un prieten căruia îi păstrez o vie amintire este Marius Dabija. Minte strălucită, scormonitoare, imprevizibil i...
Wednesday, February 24, 2010

J.S. Bach - Crab Canon on a Möbius Strip

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( YT link )
Tuesday, February 16, 2010

Ph.D. mathematician and NFL champion

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In some sense , the stunning 2010 Super Bowl XLIV victory of New Orleans Saints led by Drew Brees against the Peyton Manning 's Indiana...
Monday, November 23, 2009

Fibonacci numbers and the extreme and mean ratio - some history

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Ruth Tatlow's article The Use and Abuse of Fibonacci Numbers and the Golden Section in Musicology Today ( Understanding Bach, 1, 69-85,...
Friday, September 18, 2009

Bernhard Riemann

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Georg Friedrich Bernhard Riemann (September 17, 1826 – July 20, 1866) - one of the greatest mathematicians of all time. Full Mac Tutor Biog...
Friday, February 20, 2009

Fibonacci modulo m

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The general problem of the periods of the Fibonacci sequence modulo m is definitely non-trivial (with the case m = p - prime - playing a v...
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