scholarly journals Wavelet Estimation of an Unknown Function Observed with Correlated Noise

2010 ◽  
Vol 39 (2) ◽  
pp. 287-304 ◽  
Author(s):  
Xue Wang ◽  
Andrew T. A. Wood
Author(s):  
Hongying LIU ◽  
Xin JIN ◽  
Yukiyasu TSUNOO ◽  
Satoshi GOTO

2014 ◽  
Vol 73 (6) ◽  
pp. 511-527 ◽  
Author(s):  
V.V. Abramova ◽  
S. K. Abramov ◽  
V. V. Lukin ◽  
A. A. Roenko ◽  
Benoit Vozel

Author(s):  
Boris G. Aksenov ◽  
Yuri E. Karyakin ◽  
Svetlana V. Karyakina

Equations, which have nonlinear nonmonotonic dependence of one of the coefficients on an unknown function, can describe processes of heat and mass transfer. As a rule, existing approximate methods do not provide solutions with acceptable accuracy. Numerical methods do not involve obtaining an analytical expression for the unknown function and require studying the convergence of the algorithm used. The value of absolute error is uncertain. The authors propose an approximate method for solving such problems based on Westphal comparison theorems. The comparison theorems allow finding upper and lower bounds of the unknown exact solution. A special procedure developed for the stepwise improvement of these bounds provide solutions with a given accuracy. There are only a few problems for equations with nonlinear nonmonotonic coefficients for which the exact solution has been obtained. One of such problems, presented in this article, shows the efficiency of the proposed method. The results prove that the proposed method for obtaining bounds of the solution of a nonlinear nonmonotonic equation of parabolic type can be considered as a new method of the approximate analytical solution having guaranteed accuracy. In addition, the proposed here method allows calculating the maximum deviation from the unknown exact solution of the results of other approximate and numerical methods.


2021 ◽  
Vol 503 (4) ◽  
pp. 5223-5231
Author(s):  
C F Zhang ◽  
J W Xu ◽  
Y P Men ◽  
X H Deng ◽  
Heng Xu ◽  
...  

ABSTRACT In this paper, we investigate the impact of correlated noise on fast radio burst (FRB) searching. We found that (1) the correlated noise significantly increases the false alarm probability; (2) the signal-to-noise ratios (S/N) of the false positives become higher; (3) the correlated noise also affects the pulse width distribution of false positives, and there will be more false positives with wider pulse width. We use 55-h observation for M82 galaxy carried out at Nanshan 26m radio telescope to demonstrate the application of the correlated noise modelling. The number of candidates and parameter distribution of the false positives can be reproduced with the modelling of correlated noise. We will also discuss a low S/N candidate detected in the observation, for which we demonstrate the method to evaluate the false alarm probability in the presence of correlated noise. Possible origins of the candidate are discussed, where two possible pictures, an M82-harboured giant pulse and a cosmological FRB, are both compatible with the observation.


2020 ◽  
Vol 85 (3) ◽  
pp. 626-629
Author(s):  
Hisashi Muramatsu ◽  
Hiroki Maguchi ◽  
Taisuke Harada ◽  
Takehiro Kashiwagi ◽  
Chul-Sa Kim ◽  
...  

ABSTRACT Here, we report the identification of the gene encoding a novel enzyme, 3-(5-oxo-2-thioxoimidazolidin-4-yl) propionic acid desulfhydrase, in Burkholderia sp. HME13. The enzyme converts 3-(5-oxo-2-thioxoimidazolidin-4-yl) propionic acid and H2O to 3-(2,5-dioxoimidazolidin-4-yl) propionic acid and H2S. Amino acid sequence analysis of the enzyme indicates that it belongs to the DUF917 protein family, which consists of proteins of unknown function.


Genetics ◽  
2001 ◽  
Vol 157 (1) ◽  
pp. 79-89 ◽  
Author(s):  
Mercedes Gallardo ◽  
Andrés Aguilera

Abstract Given the importance of the incidence of recombination in genomic instability, it is of great interest to know the elements or processes controlling recombination in mitosis. One such process is transcription, which has been shown to induce recombination in bacteria, yeast, and mammals. To further investigate the genetic control of the incidence of recombination and genetic instability and, in particular, its connection with transcription, we have undertaken a search for hyperrecombination mutants among a large number of strains deleted in genes of unknown function. We have identified a new gene, THP1 (YOL072w), whose deletion mutation strongly stimulates recombination between repeats. In addition, thp1Δ impairs transcription, a defect that is particularly strong at the level of elongation through particular DNA sequences such as lacZ. The hyperrecombination phenotype of thp1Δ cells is fully dependent on transcription elongation of the repeat construct. When transcription is impeded either by shutting off the promoter or by using a premature transcription terminator, hyperrecombination between repeats is abolished, providing new evidence that transcription-elongation impairment may be a source of recombinogenic substrates in mitosis. We show that Thp1p and two other proteins previously shown to control transcription-associated recombination, Hpr1p and Tho2p, act in the same “pathway” connecting transcription elongation with the incidence of mitotic recombination.


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