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It is proved for symmetric diffusions that, such an inequality is equivalent to empty essential spectrum of the corresponding diffusion operator.
Use an empty perfume or empty essential oil bottle.
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This discovery was the subject of several applications both in linear and nonlinear analysis (integral equations with singular kernels, differential equations defined on unbounded domains, neutral differential equations, differential operators having non-empty essential spectra, boundary value problems in Banach spaces and others).
To remind voters of Mr Buhari's disastrous attempt to impose command economics on Nigeria, one campaign cartoon shows a long queue outside an empty shop marked "essential commodities", with a soldier whipping one of the people waiting in line.
1. METO (Middle East Treaty Organization): A new Middle East security pact that is not an empty shell is essential.
Since vomiting is well recognized to occur in patients even following "successful" conventional NGT flushing, a better way to ensure an empty stomach is essential.
But you are a hollow husk, empty of all the essential constituents that make a person alive.
The apartment was almost empty, except for some essential furniture for the owner, who was still residing there.
Grabbing at him by the obviousness of his mise en scène — typically, lone or paired figures transfixed by the moon, the sea, mountains, or plum-colored nothingness — leaves a viewer holding an empty garment, as the essential gist slips away.
LetTbe a Banach space operator with empty point spectrum, whose essential spectrum lies on a finite system of (possibly intersecting) curves.
This creation of empty block is not essential because of E2 creation, but such block is required when we deal with the general cases.
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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