(3) 21:14 Lp-norm bounds for automorphic forms 57:43 Limitations to equidistribution in arithmetic progressions 27:53 Asymptotic mean square of product of higher derivatives of the zeta-function and 21:56 The generalised Shanks's conjecture 22:57 Logging of the zeta-function, but only for a ...
Fig. 3. Diversity comparisons among acanthocephalan-infected, cestode-infected, and uninfected amphipods and generalised linear model (GLM) results. (A) Principal Coordinate Analysis (PCoA) of beta diversity measured with unweighted Unifrac at amplicon sequence variant (ASV) level. (B) alpha diver...
Generalised linear models were used to identify relationships between the value of physical therapy score and PROMIS outcomes. Kendall's tau was used to identify correlations between responses and outcomes.ResultsA total of 133 participants met the final inclusion criteria. The majority of parti...
Logistic regression models provide point and interval estimates of the PR (and POR) but may be intractable in the presence of many covariates. Proportional hazards and generalised linear models provide statistical methods directed specifically at the PR, but the interval estimation in the case of PH...
The likelihood to mate in relation to the distance of pairs (see equation 1) and relative size difference of pairs (see equation 2) were analyzed with generalised linear models ("glm"), with binomial error distribution and logit link function. The impact of body size on the number of eggs...
Szemerédi’s theorem has now been generalised in many different directions. One of these is the multidimensional Szemerédi theorem of Furstenberg and Katznelson, who used ergodic-theoretic techniques to show that any dense subset of necessarily contained infinitely many constellations of any prescribed ...
In both cases, a Generalised Linear Mixed Model was run, followed by a model comparison approach based on AICc using the dredge function of the MuMIn package in R. This function generates every possible model, with all possible fixed effect combinations (see supplementary materials for details on...
If we take the curl of the generalised Euler equation (2), we obtain (after some computation) the surface quasi-geostrophic equation This equation has strong analogies with the three-dimensional incompressible Euler equations, and can be viewed as a simplified model for that system; see this ...
(specifically, we use an inverse Littlewood-Offord theorem of Nguyen and Vu), we know that the vector is unlikely to be orthogonal to any given vector independent of , unless the coefficients of are extremely special (specifically, that most of them lie in a generalised arithmetic progression)...
(In the paper, we instead use the device of generalised limits, as discussed in this previous post.) The idea is to combine together two rather different ways to control this function . The first proceeds by the entropy decrement method mentioned earlier, which roughly speaking works as ...