We propose a novel, lossless compression algorithm, based on the 2D Discrete Fast Fourier Transform, to approximate the Algorithmic (Kolmogorov) Complexity of Elementary Cellular Automata. Fast Fourier transforms are ...We propose a novel, lossless compression algorithm, based on the 2D Discrete Fast Fourier Transform, to approximate the Algorithmic (Kolmogorov) Complexity of Elementary Cellular Automata. Fast Fourier transforms are widely used in image compression but their lossy nature exclude them as viable candidates for Kolmogorov Complexity approximations. For the first time, we present a way to adapt fourier transforms for lossless image compression. The proposed method has a very strong Pearsons correlation to existing complexity metrics and we further establish its consistency as a complexity metric by confirming its measurements never exceed the complexity of nothingness and randomness (representing the lower and upper limits of complexity). Surprisingly, many of the other methods tested fail this simple sanity check. A final symmetry-based test also demonstrates our method’s superiority over existing lossless compression metrics. All complexity metrics tested, as well as the code used to generate and augment the original dataset, can be found in our github repository: ECA complexity metrics<sup>1</sup>.展开更多
In this paper, using the characteristic analysis method, we study the relativistic Euler equations of conservation laws in energy and momentum in special relativity. The interactions of elementary waves for the relati...In this paper, using the characteristic analysis method, we study the relativistic Euler equations of conservation laws in energy and momentum in special relativity. The interactions of elementary waves for the relativistic Euler equations are shown. The collision of two shocks, two centered rarefaction waves, a shock and a rarefaction wave yield corresponding ransmitted waves. The overtaking of two shocks appears a transmitted shock wave, together with a reflected centered rarefaction wave.展开更多
E26 transformation-specific-1 （ETS-1）, an ETS family transcription factor, has been reported to play an important role in a variety of physiological and pathological processes, but clinical implications of ETS-1 exp...E26 transformation-specific-1 （ETS-1）, an ETS family transcription factor, has been reported to play an important role in a variety of physiological and pathological processes, but clinical implications of ETS-1 expression in prostate cancer （PCa）, particularly high-risk cases, including response to androgen-deprivation therapy （ADT） have yet to be elucidated. We examined the expression of ETS- 1 using immunohistochemical staining of paraffin-embedded prostate carcinoma tissue obtained by needle biopsy from 69 mostly advanced PCa patients. ETS-1 expression was compared with the clinicopathological characteristics of the 69 patients, including 25 who underwent ADT as a primary treatment. As a result, PCa patients with higher expression of ETS-1 were significantly more likely to be of high stage and high Gleason score （P〈O.05）. There was no significant association between ETS-1 expression and the initial prostate-specific antigen （PSA） level. In the 25 patients treated by ADT, the staining score for ETS-1 was significantly associated with rapid development of castration-resistant disease within 24 months （P〈O.05）, whereas the Gleason score and PSA level were not. In conclusion, increased ETS-1 expression was associated with a higher stage, higher Gleason score and shorter time to castration-resistant progression. These data suggest that immunostaining for ETS-1 could be a molecular marker for predicting a poor clinical outcome for PCa patients, oarticularlv those with hi^h-risk disease.展开更多
Dependence among random input variables affects importantly the results of probabilistic load flow(PLF),system economic operation,and system security.To solve this problem,the main objectiveness of the paper is to ana...Dependence among random input variables affects importantly the results of probabilistic load flow(PLF),system economic operation,and system security.To solve this problem,the main objectiveness of the paper is to analyze the performance of several schemes for simulating correlated variables combined with the point estimate method(PEM).Unlike the existing works that considering one single scheme combined with Monte Carlo simulation(MCS) or PEM,by neglecting the correlation among random input variables,four schemes were presented for disposing the dependence of correlated random variables,including Nataf transformation /polynomial normal transformation(PINT) combined with orthogonal transformation(OT) / elementary transformation(ET).Combining with the 2m+1 approach of PEM,a space transformation-based formulation was proposed and adopted for solving the PLF.The proposed approach is applied in the modified IEEE 30-bus system while considering correlated wind generations and load demands.Numerical results show the effectiveness of the proposed approach compared with those obtained from the MCS.Results also show that the scheme of combining Nataf transformation and ET with PEM provides the best performance.展开更多
Fetal eutaneous wounds that oeeur in earlygestation heal without sear formation.Althoughmueh work has been done to eharaeterize the roleof transforming growth
文摘We propose a novel, lossless compression algorithm, based on the 2D Discrete Fast Fourier Transform, to approximate the Algorithmic (Kolmogorov) Complexity of Elementary Cellular Automata. Fast Fourier transforms are widely used in image compression but their lossy nature exclude them as viable candidates for Kolmogorov Complexity approximations. For the first time, we present a way to adapt fourier transforms for lossless image compression. The proposed method has a very strong Pearsons correlation to existing complexity metrics and we further establish its consistency as a complexity metric by confirming its measurements never exceed the complexity of nothingness and randomness (representing the lower and upper limits of complexity). Surprisingly, many of the other methods tested fail this simple sanity check. A final symmetry-based test also demonstrates our method’s superiority over existing lossless compression metrics. All complexity metrics tested, as well as the code used to generate and augment the original dataset, can be found in our github repository: ECA complexity metrics<sup>1</sup>.
基金Project supported by the National Natural Science Foundation of China (Grant No.10671120)
文摘In this paper, using the characteristic analysis method, we study the relativistic Euler equations of conservation laws in energy and momentum in special relativity. The interactions of elementary waves for the relativistic Euler equations are shown. The collision of two shocks, two centered rarefaction waves, a shock and a rarefaction wave yield corresponding ransmitted waves. The overtaking of two shocks appears a transmitted shock wave, together with a reflected centered rarefaction wave.
文摘E26 transformation-specific-1 （ETS-1）, an ETS family transcription factor, has been reported to play an important role in a variety of physiological and pathological processes, but clinical implications of ETS-1 expression in prostate cancer （PCa）, particularly high-risk cases, including response to androgen-deprivation therapy （ADT） have yet to be elucidated. We examined the expression of ETS- 1 using immunohistochemical staining of paraffin-embedded prostate carcinoma tissue obtained by needle biopsy from 69 mostly advanced PCa patients. ETS-1 expression was compared with the clinicopathological characteristics of the 69 patients, including 25 who underwent ADT as a primary treatment. As a result, PCa patients with higher expression of ETS-1 were significantly more likely to be of high stage and high Gleason score （P〈O.05）. There was no significant association between ETS-1 expression and the initial prostate-specific antigen （PSA） level. In the 25 patients treated by ADT, the staining score for ETS-1 was significantly associated with rapid development of castration-resistant disease within 24 months （P〈O.05）, whereas the Gleason score and PSA level were not. In conclusion, increased ETS-1 expression was associated with a higher stage, higher Gleason score and shorter time to castration-resistant progression. These data suggest that immunostaining for ETS-1 could be a molecular marker for predicting a poor clinical outcome for PCa patients, oarticularlv those with hi^h-risk disease.
基金National Science Foundation of China(No.61533010)the Science and Technology Commission of Shanghai Municipality,China(No.14ZR1415300)
文摘Dependence among random input variables affects importantly the results of probabilistic load flow(PLF),system economic operation,and system security.To solve this problem,the main objectiveness of the paper is to analyze the performance of several schemes for simulating correlated variables combined with the point estimate method(PEM).Unlike the existing works that considering one single scheme combined with Monte Carlo simulation(MCS) or PEM,by neglecting the correlation among random input variables,four schemes were presented for disposing the dependence of correlated random variables,including Nataf transformation /polynomial normal transformation(PINT) combined with orthogonal transformation(OT) / elementary transformation(ET).Combining with the 2m+1 approach of PEM,a space transformation-based formulation was proposed and adopted for solving the PLF.The proposed approach is applied in the modified IEEE 30-bus system while considering correlated wind generations and load demands.Numerical results show the effectiveness of the proposed approach compared with those obtained from the MCS.Results also show that the scheme of combining Nataf transformation and ET with PEM provides the best performance.
文摘Fetal eutaneous wounds that oeeur in earlygestation heal without sear formation.Althoughmueh work has been done to eharaeterize the roleof transforming growth
