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This second condition I find particularly interesting, and not just because it might strike some as unfair.
This second condition, however, need not be fulfilled; a science of this kind can be and commonly is entirely hypothetical.
end{aligned}The intuition behind the first part of the definition of this second condition is rather clear.
This second condition transforms itself in the equation defining the interspike time interval T ( 0 ), when N → ∞ (i.e. in the thermodynamic limit) 1 = ∫ 0 1 d U ( 0 ) g + T ( 0 ) F ( U ( 0 ) ). (24).
This second condition is automatically satisfied, by using the geodesic itself, in the Euclidean space (and in every Hilbert space), since the function (xmapsto |x-y|^2) is quadratic, and its Hessian matrix is 2I at every point.
This second condition, which means that the local mean of IMF is equal to zero and guarantees that the instantaneous frequency will not have unwanted fluctuations, represents the new idea of the method.
Similar(43)
With Taiwan's presidential election just a few weeks away, the stark inclusion of this third condition in the document was interpreted in Taiwan and by many Western politicians as a new direct military threat.
At first glance, this third condition is unclear.
This first condition in (12) is in fact already a consequence from condition (10) together with (8).
The data demonstrated that all three participants maintained treatment levels of correct responding during this third condition.
This first condition is illustrated by Pierre Mauroy' commitment that convinced all the regional political stakeholders to develop a new neighbourhood in Lille.
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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