TRUEMAN MACHENRY's WEB PAGE
Email: machenry@mathstat.yorku.ca

PUBLICATIONS 
"Rational Convolution Roots of Isobaric Polynomials,"  Aura Conci, Huilan Li and Trueman MacHenry, (2014), submitted

"A new algorithm for efficient computation of Hausdorff distance in evaluation of digital image segmentation", R. S. Marques,1 D. A. Machado,2 G. Giraldi,2 A. Novotny,2 T. MacHenry,3 and A. Conci1,  Proceedings of DGA 2013, pp. 1 – 5.   Proceedings of DGA (2013), pp. 1 – 5.

"A NEW MEASURE FOR COMPARING BIOMETICAL REGIONS OF INTEREST IN SEGMENTATION OF DIGITAL IMAGES,"  A. Conci,  T.MacHenry (2013)

"Permanents and determinants, weighted isobaric polynomials and integral sequences", with Huilan Li,  Journal of Integer Sequences, vol. 16, No. 3, Feb5 (2013), pp. 1-20 file


"The Convolution Ring of  and Symmetric Polynomials" w. Huilan Li, Rocky Mountain J. Math. Volume 43.4, Number 4 (2012), 1227-1259.

"A Representation of Multiplicative Arithmetic Functions by Symmetric Polynomials,"  with Kieh Wong, Rocky Mountain Journal of Mathematics, vol. 42, no.4, (2012), pp. 1227-1290 , file

"A Representation of Multiplicative Arithmetic Functions by Symmetric Polynomials,"  with Kieh Wong, Rocky Mountain Journal of Mathematics, arXiv:0711.3620 file
"Degree-k linear recursions modulo (p) and algebraic number fields," with Kieh Wong. Vol.41. No.4, pp. 1303-1328, (2011) Rocky Mountain Journal of Mathematics file

"The Convolution Ring of Arithmetic Functions and Symmetric Polynomials," with Huilan Li,  Rocky Mountain Journal of Mathematics, 24 pp.  (2013) to appear.
arXiv:1009.1892 file

"Differential Operators and Weighted Isobaric Polynomials," Rocky Mountain Journal of Mathematics with Geanina Tudose,  Vol 36 N 6 (2006) p1957-1976 file

"Reflections on symmetric polynomials and arithmetic functions," Rocky Mountain Journal of Mathematics, with Geanina Tudose, Vol 35 N 3 (2005) p901-928 pdf file

"From Fibonacci Numbers to Symmetric Functions," Vol 05 N 3 October  (2003), Cubo

"Fibonacci Fields, " Fibonacci Quarterly v.38.1 (2000) file

"Generalized Fibonacci and Lucas polynomials." Fibonacci Quarterly, v.38.2 (2000)file

"A Subgroup of the Group of Units in the Ring of Arithmetic," Functions Rocky Mountain Journal of Mathematics, 29; 3, (1999) file

"On Absolutely-nilpotent of class k  groups," Longobardi, MacHenry, Maj e Wiegold Rendiconti Lincei, ix; vi, 4, (1995). file

"A remark concerning commutator subgroups of free groups". Collection of articles dedicated to Wilhelm Magnus. Comm. Pure Appl. Math. 26 (1973),   785--786.

"On the invariance of a quotient group of the center of F/[R,R]". Canad. Math. Bull. 12 (1969) 653--660.

"The tensor product of non-abelian groups and exact sequences". Arch. Math. 11 (1960) 166--170.

"The tensor product and the 2nd nilpotent product of groups". Math. Z. 73 (1960) 134--145.

TALKS

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"Convolution Roots of Weighted Isobaric Polynomials and Hessenbarg-Stirling Matrices", Applied Algebra Seminar  , January 10, (2014)

"Convolution Roots of Weighted Isobaric Polynomials and Hessenbarg-Stirling Matrices", Discrete Mathematics Seminar, February 27, (2014)

"PERMANENTS, DETERMINANTS, INTEGRAL SEQUENCES AND ISOBARIC POLYNOMIALS, "XV1 International Workshop on  Wavelets, Differential Equations, Mechanics and Number Theory,  University of Havana, Havana, Cuba, February 18-22, (2013).
"PERMANENTS, DETERMINANTS, INTEGRAL SEQUENCES AND ISOBARIC POLYNOMIALS," CMS Winter Meetings,  Montreal, December, (2012)

"SYMMETRIC POLYNOMIALS AND MULTIPLICATIVE ARITHMETIC  FUNCTIONS,"  XV International Workshop on  Wavelets, Differential Equations, Mechanics and Number Theory,  University of Havana, Havana, Cuba, February 20-24, (2012).

"THE RING OF ISOBARIC POLYNOMIALS AND MULTIPLICATIVE ARITHMETIC FUNCTIONS,"  AMS, Boston Meeting, January 4-7, (2011).

"A NEW APPROACH TO MULTIPLICATIVE FUNCTION THEORY"  Conference in Honour of Paul Turan, University of Budapest,  Budapest, Hungary, August (2011)

"A TALE OF TWO SEQUENCES,"  Applied Algebra Seminar, York University, November 14, (2011).

"CONVOLUTION RING OF ARITHMETIC FUNCTIONS AND SYMMETRIC POLYNOMIALS, " CMS Winter Meeting, Vancouver,  December 5, (2010).

"SOME INTERESTNG 2ND ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS,"  University of Havana, Havana. Cuba, February (2010) w. Geanina Tudose. file.pdf

"DIFFERENTIAL OPERATORS AND WEIGHTED ISOBARIC POLYNOMIALS," AMS winter meeting, New Orleans, Louisiana, January, (2010)

"SYMMETRIC  POLYNOMIALS,  APPLICATIONS,"  University of Pennsylvania, December (2009), w. Geamina Tudose, Kieh Wong, Huilan Li.

"A REPRENTATIONS OF MULTIPLICATIVE ARITHMETIC FUNCTIONS BY SYMMETRIC POLYNOMIALS,"  University of Havana, Havana. Cuba, February (2009) w. Geanina Tudose.  file

"APPLICATIONS OF ISOBARIC POLYNOMIALS TO NUMBER THEORY,"  University of Havana, Havana, Cuba,  Internations Workshop on Wavelets and Number Theory, February 4 (2009).

"BLACK MOUNTAIN COLLEGE, AN EXPERIMENT,"  Beloit College, November (2009).

"THE UBIQUITY OF SCHUR POLYNOMIALS",  Laval University, Quebec City, Quebec, Quebec-Maine Number Theory Conference, October, (2008).
"FAREY SEQUENCES," Geometry Seminar, York University,  (2008).   file:

"RECURSIONS AND EXTENSIONS," University of Havana, Havana. Cuba, February (2008) w. Kieh Wong. file

"ISOBARIC POLYNOMIALS,"  University of Havana, Havana. Cuba, February (2007)

"FINDING VOLUME IS AN EXHAUSTING PROCESS,"  Max Dehn and Hilbert's 3rd problem.,  Geometry seminar, York University (2005).