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Finite-state independence
[article]

2017
*
arXiv
*
pre-print

In this work we introduce a notion of

arXiv:1611.03921v2
fatcat:wiq24fiwuzarbk7jtt7mg4slfa
*independence*based on*finite*-*state*automata: two infinite words are*independent*if no one helps to compress the other using one-to-one*finite*-*state*transducers with ... We prove that, as expected, the set of*independent*pairs of infinite words has Lebesgue measure 1. We show that the join of two*independent*normal words is normal. ... Introduction In this work we introduce a notion of*independence*for pairs of infinite words, based on*finite*-*state*automata. We call it*finite*-*state**independence*. ...##
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Finite-state Independence and Normal Sequences
[article]

2018
*
arXiv
*
pre-print

We consider the previously defined notion of

arXiv:1702.00320v2
fatcat:4poybtxii5bljpexg4xpy7jylq
*finite*-*state**independence*and we focus specifically on normal words. ... Based on one of the characterizations we give an algorithm to construct a pair of*finite*-*state**independent*normal words. ... We show that if x and y ′ are not*finite*-*state**independent*, then x and y are also not*finite*-*state**independent*. We suppose that x and y ′ are not*finite*-*state**independent*. ...##
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Language Independent Text Correction using Finite State Automata

2008
*
International Joint Conference on Natural Language Processing
*

In this work, we introduce a novel approach for automatic correction of spelling mistakes by deploying

dblp:conf/ijcnlp/HassanNH08
fatcat:i5pk6a5w4valvazulucklyy4hm
*finite**state*automata to propose candidates corrections within a specified edit distance from the ... The proposed approach is language*independent*and requires only a dictionary and text data for building a language model. ... All the words are represented by a*finite**state*machine automaton. ...##
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Independence of work and entropy for equal energetic finite quantum systems: Passive state energy as an entanglement quantifier
[article]

2019
*
arXiv
*
pre-print

However, for the

arXiv:1912.09780v1
fatcat:ruavos4tlnebdkkrwc2niipr6e
*finite*quantum systems, the relation is not so linear and requires detail investigation. ... So ergotropy (work extraction from a closed system by unitary), min free energy F_0 (single shot work extraction in the presence of bath) and entropy, all become*independent*monotones under this process ... Example2: Order of single shot work and entropy Let ρ ≡ ( Figure 2 . 2*Independence*of work and entropy on the*finite*EE*states*: Let ρ → σ under EP O (i.e., ρ σ). ...##
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An effected process on finite statistical fluctuation analysis for decoy-state measurement device-independent quantum key distribution
[article]

2016
*
arXiv
*
pre-print

In this paper, we consider the decoy-

arXiv:1610.04311v2
fatcat:bedlmh56pjfg5exs7n4kf5jj44
*state*Measurement-Device-*Independent*Quantum key distribution (MDI-QKD) with four intensities. ... The average value of successful events and bit errors among the pulse pair set be used to investigate the successful events of different pulses under the statistical fluctuation caused by the*finite*condition ... All elements in L i are*independent*and identical. Single-photon detection In any real experimental setup, the total pulses sent by both sides are*finite*. ...##
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Testing from semi-independent communicating finite state machines with a slow environment

1997
*
IEE Proceedings - Software Engineering
*

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Biased decoy-state measurement-device-independent quantum key distribution with finite resources

2015
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

or 1) stands for the encoding of the

doi:10.1103/physreva.91.022313
fatcat:6uab2cbjnbbkdntz6tkdw5tq3i
*state*. ... Interestingly, partial noise-tolerance property is achieved with an acceptable loss of justice correctness when N is set*finite*. ...##
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On Finite Groups With Two Independent Generators: I

1951
*
Proceedings of the National Academy of Sciences of the United States of America
*

"

doi:10.1073/pnas.37.9.604
pmid:16589020
pmcid:PMC1063428
fatcat:xabq2p4lq5cxfkbrqqu6qrohpu
*Independent*" means that AXBY = A"B" implies AX ' AU,BY-= B", i.e., x u (mod m), y = v (mod n). ... Using the cancellatiQn law of groups, and the*independence*of A and B, we can prove that 0(x) =-0(y) (mod m) only of xy (mod m). ...##
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Sets of Independent Generators of a Finite Group

1937
*
Proceedings of the National Academy of Sciences of the United States of America
*

The number of operators in a set of

doi:10.1073/pnas.23.9.494
pmid:16577802
pmcid:PMC1076973
fatcat:adtnokca7jbnhokvyq5mdgu5lu
*independent*generators of G can obviously not exceed the number of the distinct prime factors which divide the order of G and when G has a set of*independent*generators ... A set of*independent*generators of a group G is a set of operators of G such that they generate G but that no subset of these operators generates G. ... SETS OF*INDEPENDENT*GENERATORS OF A*FINITE*GROUP A set of*independent*generators of a group G is a set of operators of G such that they generate G but that no subset of these operators generates G. ...##
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On Finite Groups with Two Independent Generators: II

1951
*
Proceedings of the National Academy of Sciences of the United States of America
*

Resolution of r: r, rF, r2, r3, with defining substitutions as

doi:10.1073/pnas.37.10.677
pmid:16578401
pmcid:PMC1063445
fatcat:tbgflipsc5bbhnf5p6p4nzzupi
*stated*. ... Also, A1, B1 are*independent*, From these formulas we infer THEOREM XXVII. ...##
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On Finite Groups with Two Independent Generators: IV. Conjugate Substitutions

1951
*
Proceedings of the National Academy of Sciences of the United States of America
*

A paper, covering some aspects of this work, with the title "On

doi:10.1073/pnas.37.12.808
pmid:16589033
pmcid:PMC1063476
fatcat:nsrjqzvfk5ewdhxx5yiqvqyaqa
*Finite*Groups with Two*Independent*Generators," was read before the Academy, November 7, 1951. 1 See Note I, §2. ... This*state*of affairs applies generally [see (20.4, 8)], so that the first row, corresponding to 0 _ x < s, determines the entire table. ...##
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On Finite Groups With Two Independent Generators: III. Exponential Substitutions

1951
*
Proceedings of the National Academy of Sciences of the United States of America
*

As has been

doi:10.1073/pnas.37.11.749
pmid:16578415
pmcid:PMC1063463
fatcat:f64bhbcuozg3bhqsnu3b7haub4
*stated*, in order that (P = 01, r must be equal to n. ... Values of A congruent mod pEK give values of a that are congruent mod dEK = dB = u; this is the reason that, as*stated*, M may be restricted to the values 0 _ M < pE. ...##
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Number-Right, Item-Response, and Finite-State Scoring: Robustness with Respect to Lack of Equally Classifiable Options and Item Option Independence

2000
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Educational and Psychological Measurement
*

Comparing 12

doi:10.1177/00131640021970330
fatcat:mhacbw25gjho7oh7bmlleb767m
*finite**state*models of examinee performance on multiple-choice tests. Dissertation Abstracts International, 53(4), 1137. (Doctoral dissertation, Virginia Polytechnic and*State*University) ...*Finite**state*polynomic item characteristic curves. British Journal of Mathematical and Statistical Psychology, 44, 45-75. Glass, G. V, & Hopkins, K. D. (1996). ...##
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Independent Unbiased Coin Flips From A Correlated Biased Source: A Finite State Markov Chain

*
25th Annual Symposium onFoundations of Computer Science, 1984.
*

Two algorithms A and B use the simple von Neumann trick on every

doi:10.1109/sfcs.1984.715944
dblp:conf/focs/Blum84
fatcat:6n3kruk7czezhnwjf6kuqaqjbi
*state*of the Markov chain. They differ in the time they choose to announce the coin flip. This timing is crucial. ... gives an algorithm to generate an*independent*unbiased sequence of Hs and Ts that nearly achieves the Entropy of the one-coin source. ... The output of B is an*independent*unbiased (possibly*finite*) sequence of Hs and Ts 2. ...##
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Zero-one laws in finite W∗-algebras

1976
*
Journal of Mathematical Analysis and Applications
*

(iv) if p E YP and, for each i, Xi is a normal

doi:10.1016/0022-247x(76)90078-0
fatcat:qukcayfujzch3hiacjnmwavpwq
*state*on 0& with Xi = TV 1"; except for at most a*finite*number of indices, then there exists a normal*state*A E& such that A ldi = hi for all i. ... Note that T jl, is a trace on &'a , and is clearly a product*state*with respect to the*independent*subalgebras (QZi}iBF of 3s . If there is a normal*state*X on 6? ...
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