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Asked to name Ms. Sangalo's distinguishing characteristics, Mr. Mazzola listed the power of her voice, her charisma on the stage, her business savvy and her "integral" sense of who she is.
All integrals are understood in the Riemann integral sense in Lemma 3.9 and Theorem 3.12.
If the essential spectrum and absolutely continuous component of the spectral measure fill the whole positive half-line, then q decays at infinity in the certain integral sense.
The continuity of displacements and tractions, as well as the equilibrium equations, are imposed in the average (integral) sense as in the original HFGMC formulation.
The method is based on assuming a profile for the axial velocity and satisfying the partial differential equations in an integral sense.
This implies that, for any u 0 ∈ C , there exists a unique local solution u ∈ L ∞ ( ( 0, T ) × Ω ) in the integral sense for T > 0 small enough.
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The metal shim as output electrode of the piezoelectric sensor; Piezoelectric film (3 mm×3 mm×0.26 mm), to sensor the orthogonal cutting force; The integral sensing unit is placed 6 mm from the cutting tip, between the cutting tool and spacer; The wire and a part of the metal shim are exposed from the cutting insert surface, but there is a safe distance from the cutting insert tool tip.
As I got to know Platon's process, I saw how integral his sense of curiosity was to his work.
With sound such an integral spidey sense, researchers wondered if spiders evolved to spin silks that optimally transmit informative vibrations.
provided all integrals make sense.
whenever the q-integral makes sense.
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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