Introduction: Due to the added second dimension, 2D MR spectroscopy (MRS) offers better spectral dispersion of metabolite resonances minimizing the overlap in the spectral domain, which may improve the overall quantitation accuracy [1]. 2D JPRESS can be easily implemented by modifying the conventional PRESS sequence by encoding the J evolution around the last 180 rf pulse [2]. Localized 2D shif...

The words “spectral sequence” strike fear into the hearts of many hardened mathematicians. These notes will attempt to demonstrate that spectral sequences are not so scary, and also very powerful. This is an unfinished handout for my algebraic topology class. In particular I did not have time to reproduce here the little spectral sequence diagrams showing where all the arrows go. For a comprehe...

Recent photometry of L and T dwarfs revealed that the infrared colors show a large variation at a given effective temperature and, within the framework of our Unified Cloudy Model (UCM), this result can be interpreted as due to a variation of the critical temperature (Tcr) which is essentially a measure of the thickness of the dust cloud. In our previous applications of the UCMs, we assumed tha...

Vision is the dominant sensory modality in many organisms for foraging, predator avoidance, and social behaviors including mate selection. Vertebrate visual perception is initiated when light strikes rod and cone photoreceptors within the neural retina of the eye. Sensitivity to individual colors, i.e., peak spectral sensitivities (λmax) of visual pigments, are a function of the type of chromop...

For a real central arrangement A, Salvetti introduced a construction of a finite complex Sal(A) which is homotopy equivalent to the complement of the complexified arrangement in [Sal87]. For the braid arrangement Ak−1, the Salvetti complex Sal(Ak−1) serves as a good combinatorial model for the homotopy type of the configuration space F (C, k) of k points in C, which is homotopy equivalent to th...

In the present work, we introduce and explain a method of solution of the radiative transfer equation based on a thin cloud model. The efficiency of this method to retrieve dynamical chromospheric parameters from Stokes I profiles of Ca II 854.2 nm line showing spectral emission is investigated. The analyzed data were recorded with the Crisp Imaging Spectro-Polarimeter (CRISP) at Swedish 1-m So...

In principle, Floer theory can be extended to define homotopy invariants of families of equivalent objects (e.g. Hamiltonian isotopic symplectomorphisms, 3-manifolds, Legendrian knots, etc.) parametrized by a smooth manifold B. The invariant of a family consists of a spectral sequence whose E2 term is the homology of B with twisted coefficients in the Floer homology of the fibers. For any parti...

Let p:E B be a fibration over a connected space B with fiber F. The Eilenberg-Moore spectral sequence of p is a second quadrant spectral sequence which tries and sometimes fails to converge strongly to the homology of F (see 1-53). The purpose of this paper is to determine what the spectral sequence does converge to. An abstract answer (Theorem 1.1) is that the spectral sequence almost always c...