He undertook some calculations to verify formula (8), and showed that 3.141592653569 … < π < 3.141592653696 … , which is very satisfactory.
With the latest improvements in mass spectrometry (MS), for example, it is now possible to sample hundreds to thousands of unique ion peaks, assign putative (or verified) molecular formula to these peaks, and even extrapolate native intracellular concentrations, all from a small (even single cell analysis 13) quantity of starting material 14, 15 (Sidebar A).
It can be verified that formulas of δ and φ c2 are the same as (17) and (18) for other scenarios.
We verified these formulas and also used them for the same purpose.
A Set-Set sequent Γ≻ Δ holds on a valuation v if and only if it is not the case that v verifies every formula in Γ while falsifying every formula in Δ; note that this coincides with the definition of "holding on v" given for Set-Fmla in the case in which Δ = for some ψ.
A number of experimental datasets as well as field data were used to verify the formula.
The number of pedestrians to trigger lock-in was found to verify the formula developed within the Millennium bridge studies.
A numerical example is presented to illustrate the surge impedances of a vertical line and to verify the formula of the transmission coefficients at the discontinuity.
It can be deduced from Figure 7 that Young's modulus and the maximum stress are the inherent properties of graphene and irrelevant to its size, which also verifies the formula obtained above.
end{aligned} (2.8)To verify this formula, one calculates the double supercommutator ([ e_i,, [tau ^{-1} ^{-1} X] ]) and shows that the_jesult is equal to ([e_i,, X e_j] = Q(e_i,, X e_j)), which is precisely what is required from the definition of (tau ) by ([tau ^{-1}(X),, e_j] = X e_j,).
