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It is shown that the T-complexity can be derived from a differential equation which represents how average codeword length increases by the T-augmentation. Furthermore, the proposed differential equation method can be applied to the LZ-complexity in the same way. This new approach is simple, and the obtained expressions coincide with the ones in previous… (More)

SUMMARY In this paper, the problem in the distribution of the test statistic of the Discrete Fourier Transform (DFT) test included in SP800-22 released by the National Institute of Standards and Technology (NIST), which causes a very high rate of rejection compared with the significance level, is considered on the basis of the distribution of the spectrum.… (More)

- K Abe, N Abgrall, Y Ajima, H Aihara, J B Albert, C Andreopoulos +404 others
- Physical review letters
- 2011

The T2K experiment observes indications of ν(μ) → ν(e) appearance in data accumulated with 1.43×10(20) protons on target. Six events pass all selection criteria at the far detector. In a three-flavor neutrino oscillation scenario with |Δm(23)(2)| = 2.4×10(-3) eV(2), sin(2)2θ(23) = 1 and sin(2)2θ(13) = 0, the expected number of such events is 1.5±0.3(syst).… (More)

SUMMARY Accurate values for occurrence probabilities of the template used in the overlapping template matching test included in NIST ran-domness test suite (NIST SP800-22) have been analyzed. The inaccurate values used in the NIST randomness test suite cause significant difference of pass rate. When the inaccurate values are used and significance level is… (More)

Patients with poorly controlled noninsulin dependent diabetes mellitus (NIDDM) are shown to have higher bone mass. However, the influence of changes in glycemic control on bone turnover is not known. To clarify whether metabolic improvement of poorly controlled NIDDM affects bone turnover, markers for glucose, mineral, and bone metabolism were assessed… (More)

SUMMARY Linear complexity can be used to detect predictable non-random sequences, and hence it is included in the NIST randomness test suite. But, as shown in this paper, the NIST test suite cannot detect non-random sequences that are generated, for instance, by concatenating two different M-sequences with low linear complexity. This defect comes from the… (More)

We propose a new data compression scheme based on T-codes [3] using a dictionary method such that all phrases added to a dictionary have a recursive structure similar to T-codes. Our scheme can compress the Calgary Corpus more efficiently than known schemes based on T-codes [2] and the UNIX compress, a variant of LZ78. The T-decomposition [1] of a given… (More)

SUMMARY We propose a randomness test based on the T-complexity of a sequence, which can be calculated using a parsing algorithm called T-decomposition. Recently, the Lempel-Ziv (LZ) randomness test based on LZ-complexity using the LZ78 incremental parsing was officially excluded from the NIST test suite in NIST SP 800-22. This is caused from the problem… (More)

- B Aubert, Y Karyotakis, J P Lees, V Poireau, E Prencipe, X Prudent +482 others
- Physical review letters
- 2009

A precise measurement of the cross section of the process e(+)e(-) --> pi(+)pi(-)(gamma) from threshold to an energy of 3 GeV is obtained with the initial state radiation (ISR) method using 232 fb(-1) of data collected with the BABAR detector at e(+)e(-) center-of-mass energies near 10.6 GeV. The ISR luminosity is determined from a study of the leptonic… (More)

- P del Amo Sanchez, J P Lees, V Poireau, E Prencipe, V Tisserand, J Garra Tico +439 others
- Physical review letters
- 2011

We report the observation of the decay B- → D(s)((*)+) K- ℓ- ν(ℓ) based on 342 fb(-1) of data collected at the Υ(4S) resonance with the BABAR detector at the PEP-II e+ e- storage rings at SLAC. A simultaneous fit to three D(s)(+) decay chains is performed to extract the signal yield from measurements of the squared missing mass in the B meson decay. We… (More)