Polynomially Bounded Sequences and Polynomial Sequences

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Polynomially Bounded Sequences and Polynomial Sequences

In this article, we formalize polynomially bounded sequences that plays an important role in computational complexity theory. Class P is a fundamental computational complexity class that contains all polynomial-time decision problems [11], [12]. It takes polynomially bounded amount of computation time to solve polynomial-time decision problems by the deterministic Turing machine. Moreover we fo...

متن کامل

Algebra of Polynomially Bounded Sequences and Negligible Functions

In this article we formalize negligible functions that play an essential role in cryptology [10], [2]. Generally, a cryptosystem is secure if the probability of succeeding any attacks against the cryptosystem is negligible. First, we formalize the algebra of polynomially bounded sequences [20]. Next, we formalize negligible functions and prove the set of negligible functions is a subset of the ...

متن کامل

Conjugate Sequences, Bounded Complex Sequences and Convergent Complex Sequences

This article is a continuation of [1]. It is divided into five sections. The first one contains a few useful lemmas. In the second part there is a definition of conjugate sequences and proofs of some basic properties of such sequences. The third segment treats of bounded complex sequences,next one contains description of convergent complex sequences. The last and the biggest part of the article...

متن کامل

Prime Polynomial Sequences

Let F(x) be a polynomial with integral coefficients of degree d >_ 2 such that F(n) >_ 1 for all it 3 1 . Let OF = {F(n)Í„ , . Then F(tr) is called prime in OF if F(u) is not the product of strictly smaller terms of &F . It is proved that if F(x) is not of the form a(bx+c)d, then almost all terms of (! r are prime in O F. Let 0 = be a sequence of positive integers . Then a,, E & is called compo...

متن کامل

Recursive sequences and polynomial congruences

We consider the periodicity of recursive sequences defined by linear homogeneous recurrence relations of arbitrary order, when they are reduced modulo a positive integer m. We show that the period of such a sequence with characteristic polynomial f can be expressed in terms of the order of ω = x + f as a unit in the quotient ring ‫ޚ‬ m [ω] = ‫ޚ‬ m [x]/ f. When m = p is prime, this order can be ...

متن کامل

ذخیره 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: Formalized Mathematics

سال: 2015

ISSN: 1898-9934

DOI: 10.1515/forma-2015-0017