Sentence examples for formula states that from inspiring English sources
The Stirling formula states that n!thicksimsqrt{2pi n}n^{n}e^{-n} (1.1) for (ninmathbb{N}).
Weyl's asymptotic formula states that μk ~ Cn kV2n. We aim to give an upper bound for partial sums ∑jk = 1 μj of eigenvalues.
The third and final formula states that once TNF- alpha) and NF-(kappa)B are aTNF- alphaspective (n_v) in the andeNF- kappaV, theNF- kappatem will always end up in the diseased steady state.
Then, the Sherman-Morrison formula states that {left(boldsymbol{A} + boldsymbol{x} cdot {boldsymbol{y}^{H}}right)^{- 1}} = {boldsymbol{A}^{- 1}} - frac{{{boldsymbol{A}^{- 1}} cdot boldsymbol{x} cdot {boldsymbol{y}^{H}} cdot {boldsymbol{A}^{- 1}}}}{{1 + {boldsymbol{y}^{H}} cdot {boldsymbol{A}^{- 1}} cdot boldsymbol{x}}}.
This formula states that "if one proposition implies a second one, and a certain third proposition is true, then if either that third proposition is false or the first is true, the second is true".
An established approximate formula states that the power input to a structure is independent of damping and proportional to the modal density.
Another spoke of seeing value in supporting a woman who wishes to use one bottle of formula stating that it, 'may be enough to keep them going' (FG 3).
As in Example 4, within each ω∈Ω, the formulas stating that exactly two friends are going to "Bar Phi" tonight are all satisfied, so they have probability one for the three friends: (Omega,Pi models P_{i} phi_{j} lor phi_{k})= 1, (Omega,Pi models P_{i}left(lnot phi_{A} lor lnot phi_{B} lor lnot phi_{C}right)=1, for all pairs j≠k and i∈{1,2,3}.
Formula (1) states that marker disequilibria are null throughout the population history.
In Sect. 4 we establish the main formula that states that some integrals of solutions of the initial boundary value problems are determined by the DN operator [see Theorem 4.5, formula (4.29)].
Basically, the formula above states that the value of δ is determined by the probability of each Pr(γ i <γth) and the latter one could be estimated as in the following theorem.
