Figure 10 shows the improvement factor of the d-sequence of 1787 where it is divided into odd number of blocks that is 47 blocks of size 38 binary digits each.
Increasing Randomness Using Permutations on Blocks
Roughly speaking, a real number x is Church stochastic if the zeros in any subsequence of digits of the binary representation of x obtained by a computable “selection procedure ” has a limiting density of one half.
Uniform distribution and algorithmic randomness
Thus the digit feature is an important feature. A binary notation of ‘1’ is used if the word consist of a digit else ‘0’.
Reduplicated MWE (RMWE) helps in improving the CRF based Manipuri POS Tagger
The identiﬁcation of binary sequences with large merit factor (small mean-squared aperiodic autocorrelation) is an old problem of complex analysis and combinatorial optimization, with practical importance in digital communications engineering and condensed matter physics.
Advances in the merit factor problem for binary sequences
In digital communications, binary sequences with large merit factor correspond to signals whose energy is very uniformly distributed over frequency .
Advances in the merit factor problem for binary sequences
The special case we are interested in, and which we will use to demonstrate an approach that is generally applicable in the situation described above, is that of binary search trees and two standard algorithms, known by their acronyms BST (binary search tree) and DST (digital search tree).
Search trees: Metric aspects and strong limit theorems
Deﬁnition 1. A random bit generator (RBG) is a device or algorithm that outputs a sequence of statistical ly independent and unbiased binary digits.
The Arduino as a Hardware Random-Number Generator
With one eigenvalue qubit, only a single binary digit of the eigenvalues is computed by the phase estimation, meaning that for the algorithm to work perfectly, it must be possible to distinguish the two eigenvalues with a single digit.
Solving systems of linear equations on a quantum computer
The unitary U that is chosen depends on what binary digit of the eigenvalue needs to be read out.
Solving systems of linear equations on a quantum computer
Hence, ∆N (x, y ) is zero unless the binary digits of x and y agree up to and including the N th place, and in that case it will be 2N .
Multidimensional sampling for simulation and integration: measures, discrepancies, and quasi-random numbers
This is an ingenious method in which transmitted quantum states are used to perform a very particular communication task: to establish at two separated locations a pair of identical, but otherwise random, sequences of binary digits, without allowing any third party to learn the sequence.
Quantum Computing
Alice communicates by sending binary digits (noughts and ones) to Bob.
Quantum Computing
The ﬁtness is the sum of the ﬁtness values of blocks of a given number of binary digits.
Biological Evolution and Statistical Physics
Whereas the basic unit of information in a classical computer is a binary digit or bit, a “0” or a “1” say, a quantum computer processes information in the form of a coherent superposition |ψi = α|0i + β |1i, called a quantum bit or qubit.
Quantum Phenomena in Low-Dimensional Systems
The strategy comprises the construction of a representation of the splitting ﬁeld GF (2n ) over the set of binary n-digits sequences.
An approach to the problem of generating irreducible polynomials over the finite field GF(2) and its relationship with the problem of periodicity on the space of binary sequences
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