Sums of squaresTransformation formulaBessel polynomialsBessel functionsIn his paper "On the expression of a number as the sum of two squares", G.H. Hardy recorded a beautiful identity of Ramanujan, as well as its generalization, and described briefly their proofs. In this article, we give full...
The two conformations (found in the xylotriose crystal complex) are represented as purple squares. Isolines represent intervals of 1.0 kcal mol−1. b Representation of the xylosyl residue at the −1 subsite in the xylotriose crystal complex, with 2Fo-Fc electron density map contoured ...
Embryonic stem cells (ESCs) can be maintained in the naïve state through inhibition of Mek1/2 and Gsk3 (2i). A relevant effect of 2i is the inhibition of Cdk8/19, which are negative regulators of the Mediator complex, responsible for the activity of e
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This method uses Green’s first identity in its two- dimensional form. It was proved that Green’s formulation method is mathematically equivalent to the least-square solution. This method is a direct solution for a global phase unwrapping problem once the phase at the image boundary has been ...
although the arrival of new population groups has affected the former ‘chummy’ social relations in the neighbourhood, there is still a balance that has allowed Poble Sec to maintain warm social relations and some degree of distinct place identity compared to other parts of the city. In the ...
In this work, by generalizing the solutions to both basic least squares problem and basic robust least squares problem, the robust 2-D Kalman filter is deduced. Notation. Matrix P>0 (P<0) indicates P is positive (negative) definite. I is the identity matrix with appropriate dimensions. For...
5a. From a least squares fit we obtain p1 = (99.697 ± 0.016)% and p2 = (99.10 ± 0.04)%. The resulting fidelity of the fSim gate is F = (99.55 ± 0.04)%. Fig. 5: Cross-entropy benchmarking (XEB) of the \(\sqrt{{{\rm{iSWAP}}}\)-like ...
It is estimated that two-thirds of all proteins in higher organisms are composed of multiple domains, many of them containing discontinuous folds. However, to date, most in vitro protein folding studies have focused on small, single-domain proteins. As a