We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
We introduce a concept of so-called disjoint ordering for any collection of finite sets. It can be viewed as a generalization of a system of distinctive representatives for the s...
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
Interval constraints can be used to solve problems in numerical analysis. In this paper we show that one can improve the performance of such an interval constraint program by the ...
Helly's theorem says that, if every d+1 elements of a given finite set of convex objects in Rd have a common point, there is a point common to all of the objects in the set. I...