Aims. We investigate the cosmological evolution of largeand small-scale magnetic fields in galaxies in the light of present models of formation and evolution of galaxies. Methods. We use the dynamo theory to derive the timescales of amplification and ordering of magnetic fields in disk and puffy galaxies. Turbulence in protogalactic halos generated by thermal virialization can drive an efficien...

We conducted three torsion-balance experiments to test the gravitational inverse-square law at separations between 9.53 mm and 55 microm, probing distances less than the dark-energy length scale lambda(d)=[4 -root](variant Planck's over 2pic/rho(d) approximately 85 microm. We find with 95% confidence that the inverse-square law holds (|alpha|<or=1) down to a length scale lambda=56 microm and th...

The common formula used for converting a chi-square test into a correlation coefficient for use as an effect size in meta-analysis has a hidden assumption which may be violated in specific instances, leading to an overestimation of the effect size. A corrected formula is provided.

Square is a multivariate quadratic encryption scheme proposed in 2009. It is a specialization of Hidden Field Equations by using only odd characteristic elds and also X as its central map. In addition, it uses embedding to reduce the number of variables in the public key. However, the system was broken at Asiacrypt 2009 using a di erential attack. At PQCrypto 2010 Clough and Ding proposed two n...

In this article, exact properties of the chi-square test, likelihood ratio test (LRT), Hoel’s test (1938), Nass’ test (1959), and an exact test, for testing the multinomial proportions, are investigated numerically. Numerical studies show that the size behavior of the chi-square test for the multinomial distribution with three or more cells is erratic only when the probabilities are at the boun...

Dans une permutation, un record est maximum ou minimum, en partant de la droite gauche. Les éléments d’une permutation peuvent être classés deux types : les records (dits points extérieurs) et autres intérieurs). permutations sans point intérieur ont été étudiées sous le nom carrées. Ici, nous explorons ayant nombre fini intérieurs, dites quasi-carrées. Contrairement aux carrées, l’énumération ...

Model close fit is one key issue in the mean and covariance structure analysis. In this article, we utilize the latest results on the general distribution of likelihood ratio statistic in this methodology and propose several distribution free root mean square error of approximation (RMSEA) tests for evaluating the hypothesis of close fit of misspecified models. Simulation studies show that thre...

In this paper the serial independence tests SIS (Serial Independence Simultaneous) and SICS (Serial Independence Chi-Square) are considered. This tests, proposed by the same authors, are here contextualized in the model validation phase for nonlinear models in which the underlying assumption of serial independence is tested on the estimated residuals. Simulations are used to explore the perform...