Exact(3)
Weights are given by the parameters wj (see equations following eq. (1)), which denote the relative strength of the modified synapses with respect to the baseline, to which there corresponds the value 〈w〉 = 1.
When dealing with an indeterminate problem, Descartes instructs us that "we may arbitrarily choose lines of known length for each unknown line to which there corresponds no equation" (G, 9), i.e., we are to set the unknown lines as oblique coordinates that have a stated value.
For any (alpha =(n,theta )in mathbb {N}_0times (0,,2pi ]), we denote by (E_mathrm {r}^- alpha )) [resp. (E_mathrm {r}^- alpha ))] the set of all (mu in mathbb {R}) for which there corresponds a function (uin W^{2,q}_mathrm{r}(0,R)) such that ((mu,u)) is an nth order solution of (24) [resp. (25)] and (8).
Similar(56)
As long as we will make distinctions to which there correspond no empirical differences there will be a role for philosophical analysis.
(1)stale if and only if all multipliers of (2.5) satisfy the inequality, and moreover, to those for which, there correspond simple elementary divisors; (2)asymptotically stable if and only if all multipliers of (2.5) satisfy the inequality ; (3)unstable if for some.
Philosophical distinctions, in other words, are semantic distinctions to which there may not correspond any empirical difference.
Moreover, Weyl says, "there is no difference in our experiences to which there does not correspond a difference in the underlying objective situation".
A parameter in a defining form f for which there is no corresponding argument; instead, this parameter receives as its value an environment object which corresponds to the lexical environment in which the defining form f appeared.
The disparity map contains holes (unmatched areas) for which there is no certainty that they correspond to a target.
Lack of motivation tends to interrupt attention to a task; a task in which perceptual focus frequently shifts rarely corresponds to one for which there is strong motivation.
Setting v = 4 therefore corresponds to the case in which there is no collapse.
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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