Nontrivial solutions to a checkerboard problem
نویسندگان
چکیده
منابع مشابه
Nontrivial Solutions to the Cubic Sieve Congruence Problem
In this paper we discuss the problem of finding nontrivial solutions to the Cubic Sieve Congruence problem, that is, solutions of x ≡ yz (mod p), where x, y, z < p 1 2 and x 6= yz. The solutions to this problem are useful in solving the Discrete Log Problem or factorization by index calculus method. Apart from the cryptographic interest, this problem is motivating by itself from a number theore...
متن کاملNontrivial Solutions to the Cubic Sieve Congruence Problem : x 3 ≡
In this paper we discuss the problem of finding nontrivial solutions to the Cubic Sieve Congruence problem, that is, solutions of x ≡ yz (mod p), where x, y, z < p 1 2 and x 6= yz. The solutions to this problem are useful in solving the Discrete Log Problem or factorization by index calculus method. Apart from the cryptographic interest, this problem is motivating by itself from a number theore...
متن کاملNontrivial solutions for a fractional boundary value problem
where α ∈ (, ], f : [, ]×R→R (R := (–∞, +∞)) is continuous. In view of a fractional differential equation’s modeling capabilities in engineering, science, economy and other fields, the last few decades have resulted in a rapid development of the theory of fractional differential equation; see the books [–]. This may explain the reason why the last few decades have witnessed an overgrowing...
متن کاملOn the nontrivial projection problem
TheNontrivial Projection Problem asks whether every finite-dimensional normed space admits a well-bounded projection of non-trivial rank and corank or, equivalently, whether every centrally symmetric convex body (of arbitrary dimension) is approximately affinely equivalent to a direct product of two bodies of non-trivial dimension. We show that this is true “up to a logarithmic factor.”
متن کاملExistence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method
In this article, we study a nonlinear fourth-order differential equation two-point boundary value problem. We use monotone iterative technique and lower and upper solutions of completely continuous operators to get the existence of nontrivial solutions for the problem. The results can guarantee the existence of nontrivial sign-changing solutions and positive solutions, and we can construct two ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2010
ISSN: 1944-4176
DOI: 10.2140/involve.2010.3.109