MATHEMATICAL TRIPS
Thursday, May 22, 2014

Eu si... Antonin Scalia

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Pe o scara personal/academica, momentul cel mai interesant al anului care a trecut a survenit atunci cind am fost comparat (la o conferint...
Friday, April 11, 2014

Nature's secrets

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"Nature conceals her secrets because she is sublime, not because she is a trickster"  Albert Einstein , in a letter to Oscar Veb...
Monday, March 17, 2014

Cosmic inflation: 'Spectacular' discovery hailed

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17 March 2014 Cosmic inflation: 'Spectacular' discovery hailed By Jonathan Amos Science correspondent, BBC News NY Times - Spac...
Wednesday, March 12, 2014

RAMANUJAN: Letters from an Indian Clerk

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Thursday, March 6, 2014

Why the brain sees maths as beauty (BBC News)

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Mathematics: Why the brain sees maths as beauty  By James Gallagher Health and science reporter, BBC News 12 February 2014 "What m...
Wednesday, February 26, 2014

'On Ducci Sequences with Primes' - Fibonacci Quarterly

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http://www.fq.math.ca/Abstracts/52-1/caragiu.pdf Mihai Caragiu, Alexandru Zaharescu, and Mohammad Zaki  On Ducci Sequences with Primes  F...
Monday, December 2, 2013

An analogue of the Proth-Gilbreath conjecture (new paper)

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O fenomenologie a numerelor prime - in gen fantasy cu demonstratii plus "experiment" (computer). Far East Journal of Mathematic...
Sunday, September 29, 2013

Miami University Fall Conference on Undergraduate Research in Mathematics

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Abstract of my presentation: More than twelve years ago, a talk on "Ducci games" delivered jointly by two Ohio Northern Universi...
Tuesday, August 6, 2013

Alba Iulia 2013

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My talk (abstract) at the 2013 RMS-AMS Special Session of Discrete Mathematics and Theoretical Computer Science in Alba Iulia : Uniform ...
Thursday, July 18, 2013

Work on Stirling numbers honored with an Allendoerfer Award (2013)

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Khristo N. Boyadzhiev (Ohio Northern University) - 2013 Carl B. Allendoerfer Award for the paper "Close Encounters with the Stirling Nu...

UNIFORM DISTRIBUTION FOR A CLASS OF k‑PARADOXICAL ORIENTED GRAPHS

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Mihai Caragiu, Donald Pleshinger and Jonathan C. Schroeder , UNIFORM DISTRIBUTION FOR A CLASS OF k‑PARADOXICAL ORIENTED GRAPHS , JP Journal ...
Friday, May 24, 2013

A major breakthrough on primes: Yitang Zhang

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Bounded gaps between primes - by Yitang Zhang - Ann. Math. (forthcoming)
Tuesday, April 16, 2013

Mandelbrot set, zoom, matlab

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http://www.youtube.com/watch?v=EQGGnIyIoDM
Thursday, February 28, 2013

A parametric curve with... Bach's Prelude in G major

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http://youtu.be/IvNQbTYSON8
Monday, January 14, 2013

A Uniform Distribution Result for k-Paradoxical Directed Graphs

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The research I am conducting with two students of mine was presented at the 2013 MAA Undergraduate Poster Session in San Diego.
Friday, December 28, 2012

The Legacy of Srinivasa Ramanujan

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Srinivasa Ramanujan: Going Strong at 125 ( Krishnaswami Alladi , Editor - Notices of the AMS - Part I and Part II ). The Legacy of Sr...
Monday, November 26, 2012

Mysterious WWII encrypted message found in UK

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UK spies unable to crack coded message from WWII carrier pigeon (CNN)
Monday, November 5, 2012

A nice picture

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A nice "Paley digraph" picture - with outgoing edges from x to x+1, x+2, x+3, x+4, x+6, x+8, x+9, x+12, x+13, x+16 and x+18 (mo...
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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