Using division algorithm and basic notions of convergence of sequences in real–line, we prove that a real number \\(heta\\) is irrational if and only if there is an eventually nonconstant sequence \\(\\{p_nheta
Learn what is division algorithm along with concepts of quotient and remainder. Understand the applications of the division algorithm and...
hidden terminal problems, and frequent transmission collisions. To overcome these issues and enhance overall network performance, we propose a Space Division and theory of Graph Coloration-based protocol for Multi-Channel Multi-Transceiver operation of the MAC layer (SDGC-MCMT) in the IoV. The ...
In mathematics (more precisely: in arithmetic), long division is an algorithm for dividing large (multi-digit) numbers. Although long division may seem complicated at first, it, in fact, simplifies the division problem you're facing by breaking it down into a series of easier divisions. How ...
OFDM has been adopted in the Terrestrial Digital Video Broadcast standard DVB-T and the 3GPPLTE. One of the developments that has made OFDM a popular recent solution for radio communications in severe multipath environments is the (very efficient)fast Fourier transform(FFT) algorithm. The impressing...
The trial division algorithm is relatively efficient for small numbers and is often used for factoring numbers in specific ranges or as a preliminary step in more advanced factorization algorithms. However, it becomes increasingly time-consuming and impractical for larger numbers as the number of poten...
In Section 3 we review the history and context of the numeric problems we study. In Section 4 we outline an algorithm based on that of Chiu et al. [19], showing that the necessary CRR operations for division can be carried out by circuits that are uniform, given a predicate for ...
This letter proposes an efficient algorithm to compute the phase offset of a binary code in the CDMA system through the use of the basic facts of number theory and a new notion of the subcodes of a given code. We also formulate the algorithm in a compact form....
Note that summing over the paths (inner product in the nominator) extracts the multipath gain; however, the algorithm is equally applicable to a single path. In other words, it is up to the designer to chose the number of paths, i.e., the length of the vector ui. 3. Downlink Optimal...
where\sum 'denotes a sum of any finite number of elements andLT(G):=\{LT(g_i)\,: \, i=1,...,\ell \}. Observe that in the case of an algebraic set given by one polynomial equations(z,y)=0wheresis of form (3), we have\textbf{W}_{v}=\mathscr {P}(z)\otimes \mathscr...