The cut-norm ||A||C of a real matrix A = (aij)iR,jS is the maximum, over all I R, J S of the quantity | iI,jJ aij|. This concept plays a major role in the design of efficient app...
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
In this paper we study recurrences concerning the combinatorial sum n r m = kr (mod m) n k and the alternate sum kr (mod m)(-1)(k-r)/m n k , where m > 0, n 0 and r are integers....
This paper complements McCarthy's "The well designed child", in part by putting it in a broader context, the space of possible well designed progeny, and in part by...