On Tunnell-Gross type formulae - Ye Tian 01:07:35 On the motivic cohomology of schemes - Elden Elmanto 01:08:08 On a theorem of Legendre - William Duke 59:24 On Mazur’s main conjecture at Eisenstein primes - Francesc Castella 01:05:19 On local Galois deformation rings - Vytau...
These measurements provide simultaneous independent access to micro- and fine-scales. We infer the 2D energy spectrum from the finescale shear and strain spectra (“High-resolution profiler observations”) and determine K using our theoretical formula for \({{{\mathcal{P}}}\) and the empirical...
Inside the AlN microcavity, all these nonlinear optical processes can be greatly enhanced due to the strong mode confinement and high quality factor. To ensure an efficient 5WM process, the elementary nonlinear processes are verified by pumping in thea0and probing in the intermediate modea−2, ...
respectively, for nonstationary processes. therefore, the upper bound of the inequality obtained under the condition that the mixing coefficient approaches zero at a faster rate is superior to the upper bound obtained under the condition that the mixing coefficient approaches zero at a slower rate. ...
(0 < \nu \ll 1\), despite the loss of explicit representation formula. Let us just mention at this stage that the key point is to construct good vector fields, meaning that they commute to the advection-diffusion operator\(i k \cdot p - \nu \Delta _p\). In the Euclidean setting ...
(1996) indlcate that the value of that constant under near- surface breaking waves should be approximately the same as it is for mean flow, leading to the formula where E represents the l-dimensional va.1iance spec- trum of the transverse componerlt of velocity (Eq. 8 ) , o is ...
= Solar mixing angle atΛ = 34.4153◦ ϕ1,Λ, ϕ2,Λ = Majorana phases at Λ = 15.5832◦ & 359.164◦ m1,Λ, m2,Λ, m3,Λ = Neutrino masses at Λ = 0.245775 eV, 0.245973 eV & 0.248218 eV We also define few functions which we need in threshold corrections formulae....
Its formula includes income distribution, life expectancy and education. As such, the value of E depends on the distributions of the percentiles of the HDI of its visitors, according to their home place. While E is a measure of segregation/mixing, we still need a measure of the social ...
We notice that the simulated boundary is very well reproduced by the heuristical formula. Figure 6 Contour-plot of Δ as a function of temperature T/t and interspecies interactions U ab /t, at U/t = 10. Total filling n = 2 and linear size of the lattice L = 24 (same...
to the formula:\(\delta^{13} C\)and\(\delta {}^{15}N\) = Rsample/Rstandard− 1, where R = 13C/12Cor15N/14N. Isotope incorporation models and diet-tissue discrimination factors To examine isotope incorporation patterns of the single-source groups for both muscle and fin ...