Sentence examples for forms we show from inspiring English sources
Employing a variational formula for Dirichlet forms, we show the existence of a ground state of the time-changed operator −1μL or the Schrödinger-type operator −L+μ.
For strongly local forms we show existence of a maximal intrinsic metric (under a weak continuity condition) and for Dirichlet forms with an absolutely continuous jump kernel we characterize intrinsic metrics by bounds on certain integrals.
The argument forms we showed to be invalid in Adams's logic (§3.2) are invalid on Stalnaker's semantics.
In addition, by evaluating the number of parasite ring forms, we showed that 10−6 M cAMP permeable analogue (dibutyryl-cAMP) increased the level of infection (Fig. 7B).
Then, using HeLa cells expressing the WT, CHCHD10S59L, or CHCHD10P34S mutant forms, we showed that this reduction in apoptosis was associated with a reduction in the permeabilization of the outer membrane of the mitochondria (MOMP), with SMAC degradation being used as a readout of MOMP (Fig 8D) (Tait et al, 2010).
In a more mechanistic approach using gradient analysis of the translation initiation complexes formed, we show that miR-122 stimulates the association of the small ribosomal subunit with the HCV RNA.
With the regularization and defining the shorthand notation |η|1=∑ i, j |η i, j )| and ||η i ||2=(∑ j η i, j ))(1/2), the overall objective f takes the form We show that discretizing the data, X, to some precision β, and taking the limit as β→∞ has the equivalent minima (up to scaling and the zero set) by using X without discretization.
Also, in the case of operators of the form identity plus trace class we show that triangularizability via standard subspaces is equivalent to the submultiplicativity of a certain function on the semigroup.
"The form we showed was terrific with the same group of players.
We have to reproduce the form we showed at home to Northampton last month, a day when everything went to plan.
We worked well together at Arsenal and hopefully we can continue the form we showed today into the next games.
