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» Some formulae for partitions into squares
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ARSCOM
2005
64views more  ARSCOM 2005»
13 years 5 months ago
Further results for partitions into four squares of equal parity
We prove several results dealing with various counting functions for partitions of an integer into four squares of equal parity. Some are easy consequences of earlier work, but tw...
Michael D. Hirschhorn, James A. Sellers
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
13 years 11 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
WSCG
2003
170views more  WSCG 2003»
13 years 6 months ago
Shading by Spherical Linear Interpolation using De Moivre's Formula
In the classical shading algorithm according to Phong, the normal is interpolated across the scanline, requiring a computationally expensive normalization in the inner loop. In th...
Anders Hast, Tony Barrera, Ewert Bengtsson
IPL
2006
86views more  IPL 2006»
13 years 5 months ago
On the relationship between squared pairings and plain pairings
In this paper, we investigate the relationship between the squared Weil/Tate pairing and the plain Weil/Tate pairing. Along these lines, we first show that the squared pairing for ...
Bo Gyeong Kang, Je Hong Park
SIAMJO
2010
137views more  SIAMJO 2010»
13 years 3 months ago
Global Convergence of a New Hybrid Gauss--Newton Structured BFGS Method for Nonlinear Least Squares Problems
In this paper, we propose a hybrid Gauss-Newton structured BFGS method with a new update formula and a new switch criterion for the iterative matrix to solve nonlinear least square...
Weijun Zhou, Xiaojun Chen