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As an illustration, we design and calibrate an affine LIBOR model, and consider a simple post-crisis interest rate derivative, namely a basis swap.
A simple characterization is given of finitely generated subspaces of L2 Rd) which are invariant under translation by any (multi integer, and is used to give conditions under which such a space has a particularly nice generating set, namely a basis, and, more than that, a basis with desirable properties, such as stability, orthogonality, or linear independence.
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Although this model has some features of atherosclerosis; namely an inflammatory basis and VSMC proliferation, it lacks an atherogenic stimulus which, quite plausibly, might promote apoptotic activity due to TRAIL rather than proliferation.
We denote by (p_{ell,m} : F_2 twoheadrightarrow mathrm{BS} ell,m)) the defining cover of the corresponding Baumslag-Solitar group, namely the cover mapping a basis of the free group of rank (2) onto ({s,t}).
Canadian studies of a different influenza vaccine intervention do exist as a basis for comparison, namely the transition in 2000 of the province of Ontario from targeted to universal immunization.
This work aims to develop an intelligent technique, namely Radial Basis Function (RBF) approach to predict the vaporization enthalpy of petroleum fractions and pure hydrocarbons.
He attempts to carve out a fourth option for self-knowledge, beyond the three options expressed in Boghossian's trilemma, arguing that we can know some of our mental states without observing them, or by inference; yet this knowledge is still on the basis of something, namely a reason.
Namely, a fish named Hilary Rosen.
The vectors b i ( i = 1, 2, …, m ) form a basis of the lattice L. It is well known that the bases of the lattice L are not unique, since the matrix B right-multiplied with a unimodular matrix G, namely, B G, is also a basis of L, where B = ( b 1, b 2, …, b m ).
The kernel function namely Radial Basis Function (RBF) is used to find the best cross validation accuracy of training data with parameter, C and γ.
Here I review a Bayesian study of disputed authorship performed by a biblical scholar, and I show that the scholar makes critical errors with respect to several issues, namely: Causal Basis, Likelihood Judgment and Conditional Dependency.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com