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» Algorithms for Ordinal Arithmetic
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SIGMOD
2001
ACM
213views Database» more  SIGMOD 2001»
14 years 7 months ago
Bit-Sliced Index Arithmetic
The bit-sliced index (BSI) was originally defined in [ONQ97]. The current paper introduces the concept of BSI arithmetic. For any two BSI's X and Y on a table T, we show how ...
Denis Rinfret, Patrick E. O'Neil, Elizabeth J. O'N...
CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 7 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
ANTS
2006
Springer
114views Algorithms» more  ANTS 2006»
13 years 11 months ago
The Pseudosquares Prime Sieve
We present the pseudosquares prime sieve, which finds all primes up to n. Define p to be the smallest prime such that the pseudosquare Lp > n/((p)(log n)2 ); here (x) is the pri...
Jonathan Sorenson
MOC
2000
79views more  MOC 2000»
13 years 7 months ago
On fundamental domains of arithmetic Fuchsian groups
Let K be a totally real algebraic number field and O an order in a quaternion algebra A over K. Assume that the group O1 of units in O with reduced norm equal to 1 is embedded into...
Stefan J. Johansson
SAS
2004
Springer
140views Formal Methods» more  SAS 2004»
14 years 27 days ago
Path-Sensitive Analysis for Linear Arithmetic and Uninterpreted Functions
We describe data structures and algorithms for performing a path-sensitive program analysis to discover equivalences of expressions involving linear arithmetic or uninterpreted fun...
Sumit Gulwani, George C. Necula