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As to (3.4), similar to above, one may verify, on the interval [ τ, 1 − τ ], the condition of Theorem 3.2 by the second result of Lemma 2.3 and Lemma 2.4, i.e. (2.2) and (2.5), respectively.
Indeed, one may verify directly that ã satisfies all structural conditions (not necessarily with the same constants as a).
Having selected P from the A4 = p Π, γ total - paths, one may verify that the only way we can achieve the maximum in (9) is by linking P to an odd-length π - path and an odd-length Γ - path, of which there are B 4 = p odd Π · p odd γ total choices.
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An observation over more than one year may verify this hypothesis by examining the variation of the dust flux with meteor streams.
One may readily verify that K is a cone in X.
By inspection only of the reported results one may easily verify that this is an untroubled case in the sense that the active pumping locations may perform at maximum pumping rates without any threat from saltwater intrusion.
Indeed one may readily verify that, omitting the values associated to well No. 1 from Table 2, the rest of the reported results remain practically identical to the results included in Table 3.
As it was the case before projection, one may easily verify that in the even-even case, Ψ m m ′ Open image in new window, reduces to the product of the projected wavefunctions of the neutron and proton systems in the pairing between like-particles case defined in[41].
As it was the case before projection, one may easily verify that in the even even case, Ψ m m ′ reduces to the product of the projected wave-functions of the neutron and proton systems in the pairing between like-particles case defined in Reference [41].
Note that there are A3 = p Π, γ total ways to select a - path P. Of the four possibilities for the parity of the paths to which P may be linked to form a 3 - chain, one may wish to verify that the only way we cannot attain the maximum in (9) is if we link P to an odd-length π - path and an even-length Γ - path.
For example, when performing a property-verification task, one may form different simulations of SAXOPHONE, 1 depending on the property to be verified.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com