69 search results - page 1 / 14 » The nearest polynomial of lower degree |
ISSAC
2007
Springer
13 years 11 months ago
2007
Springer
CSR
2009
Springer
13 years 12 months ago
2009
Springer
FOCS
2003
IEEE
13 years 10 months ago
2003
IEEE
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
STOC
2003
ACM
14 years 5 months ago
2003
ACM
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
JCSS
1998
13 years 5 months ago
1998
This paper gives nearly optimal, logarithmic upper and lower bounds on the minimum degree of Nullstellensatz refutations (i.e., polynomials) of the propositional induction princip...