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But these have a very simple form, and due to the very particular form of the fibers of (pi :widetilde{U^rightarrow U^,) it turns out that very few of these isomorphisms can satisfy the additional requirement of sending the fibers of (pi _{1}) to the fibers of (pi _{2}:widetilde{U_{2}^ rightarrow U_{2}^.) The rigidity derives exactly from this fact.
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Indeed, the strident contempt that the Parkland kids earned from some quarters of the gun lobby derived exactly from the strength of their witness: they are not the élitist intellectuals or compulsive do-gooders or obsessive gun confiscators of fervid imagination.
It is necessary to distinguish between distance matrices that are obtained in practice and those that can be derived exactly from n vectors in an affine subspace.
As long as these inputs are well-separated spatially, an M-dimensional reduced model could be derived exactly as shown for (M=2) in Sect.
The dynamic member stiffness matrix of a three-dimensional shear beam with doubly asymmetric cross-section is derived exactly from the governing, sixth-order differential equation of motion.
We propose a simpler and accurate method for deriving exactly the same information based only on the relative position, with respect to the cell soma, of the bifurcation (Bi) and terminal points (Ti) of processes.
Using the linear form of the governing differential equations and considering the effects of non-linearity of the governing equations, the Green's functions have been derived exactly and verified in both Laplace transform and time domains.
The obtained Green's functions have been derived exactly, for the first time, using the linear form of the governing differential equations and considering the effects of non-linearity of the governing equations and have been verified in both frequency and time domains.
Deriving exactly would require to consider infinite subregions.
In order to understand how often antibodies against a single antigen occur in different TIL-derived repertoires, we attempted to select new anti-CEA antibodies from a new mixture of libraries, this time excluding the scFvB96 library, since one of the anti-CEA antibodies, CB37, derived exactly from this library (Fig. 3c).
In fact, the distribution of pause durations can be derived exactly from this model by calculating the probability of observing a random trajectory with n steps, multiplying it by the distribution of times that it takes to perform those steps (which is given by a Gamma distribution), and summing over all allowed values of n.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com