In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
d Abstract) Tomoyuki Yamakami Department of Computer Software, University of Aizu 90 Kami-Iawase, Tsuruga, Ikki-machi, Fukushima 965-8580, Japan Our task of quantum list decoding ...
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...