Symmetric polynomials, generalized Jacobi-Trudi identities and au-functions An element [\\Phi] of the Grassmannian of n-dimensional subspaces of the Hardy space H^2, extended over the field C(x_1,..., x_n), may be associated to any... J Harnad,E Lee - 《Acta Chirurgica Iugoslavica...
For example, given M=(WWT+σ2I), the posterior distribution for h can be obtained from Bayes’ rule, along with some Gaussian identities given in Appendix A.2. The posterior can be written (9.1)p(h|x)=N(h;M−1WT(x−μ),σ2M−1). Once the model parameters have been ...
Face de-identification consists in the alteration of faces to conceal person identities. The goal is to alter a face region in such a way that it cannot be recognised using face recognition software. In order to achieve this, the faces appearing in images are modified by using some of the ...
Sequence identities between the enzymes vary from 91 to 73% for XcACE and human N-ACE or ACE2, and 20–8% for EcDCP and the human enzymes, respectively [227,228,229]. Although the overall sequence similarity may be low in some cases, the active site is highly conserved, so that ACE...
Behind every place lie storieZ, traditions and time-honored practices, preserved by women and men whose identities and cultures have evolved over centuries. Living culture is incorporating changes alongside continuities, hence there’s nothing like a rigid divide between past and present. We can see...
From these two identities follows that P1σ1(v)=P2σ2(v) for all values of v. Using this in Eq. 11, we see that the two subpopulations obey identical equations of motion, when time t is measured in units of characteristic time Pi: the two subpopulations move in identical manners, ...
Derive the identities (2.4) and (2.5) from the known properties of the latter. Exercise Derive for all n (2.6)pn(t)=12πi∮z−n−1F(z,t) dt. The integral is taken around the unit circle. Exercise In the discrete-time random walk the steps were taken at fixed time points. ...
We quantified these degrees of selectivity (“multi-” or “single-selectivity”) for each KC by calculating mutual information (MI) between odor identities and responses (Figures 4B and 4C; see STAR Methods) and found that a substantial number of KCs showed high multi-selectivity (defined as ...