The independence of formula B from formula A is established by a matrix that (i) preserves the validity of the rules of the system and that (ii) under an interpretation σ assigns to A but not to B a designated value.
We therefore concluded that in yeast cells limited in calorie supply macromitophagy is obligatory for sustaining a population of mitochondria that (i) preserve the functional and physical integrity of the IMM; and (ii) efficiently couple electron transport to ATP synthesis.
And it is important that I preserve it and be able to offer it to someone who needs it.
Assume that A p i preserves the grading of the Clifford algebra and converges to A p ( x, ξ ) uniformly on compact subset of R n. Suppose that u i ∈ W 1, p i ( Ω, C ℓ n k ) is the weak solution to the following K ψ f, p i ( Ω, C ℓ n k ) -obstacle problem ∫ Ω 〈 A p i ( x, D u i ), D v − D u i 〉 d x ≥ 0 (24).
The nonconvex regularizer performs better than the usual convex ones in that (i) it well preserves geometric shapes of the homogeneous regions, and (ii) it protects edges from oversmoothing which is a common drawback of the convex regularizer.
'I preserved that picture by tearing it out.
The simplified model geometry is fit to the detailed model such that it preserves: (i) total membrane area, (ii) input resistance, (iii) time constant and (iv) voltage attenuation for current injection in the soma.
"My passion for Goethe, along with the rest of my education, enclosed me in a complete circle full of solid moral values that I have preserved throughout my life," she wrote.
I also create characters from actual dead fish from the Salton Sea that I have preserved through a process that I have researched and perfected.
"I preserve things that are significant to me," he said.
