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We derive perturbation series for the heat kernels of these operators and their traces, in terms ofwand of objects in the given background metric.
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Such orders < are called admissible relative to the background knowledge Γ′ if they satisfy the following property: for every set of assumptions Π ⊆ {πi ∣ i ∈ I}, if Π violates some default φj → πj in view of the given background knowledge Γ′ (in signs, Π, φj, Γ′ ⊨ ¬πj) then there is a πk ∈ Π for which πk < πj.
Moreover, in a given background electric field, the probability of the inception of glow corona at the conductor tip increases with increasing conductor height and decreasing conductor radius.
She added: "The levels found did not exceed trace amounts that would be unavoidable even under conditions of good manufacturing practice, given background levels in the environment".
In the original premiere, the types were given backgrounds that humanized them a little.
In the article, we give background context to the growth and development of megacities, their overarching socio-economic issues, and the definition of their boundaries.
Just as in the Olympics where the announcers would give background stories on a particular athlete, like Oscar Pistorius, Man on Wire created a fantastic story for the audience.
If there were a fire in Times Square, TV-news teams would be free to film there despite all of the copyrighted billboards in the background, given the public's interest in the reporting and the First Amendment's protection of the press.
Damascenes say that they have become so accustomed to hearing slogans chanted in the background, given the almost daily pro-government rallies organized by the government, that it takes a few minutes to register that people are cursing Mr. Assad.
Although signs onstage say which country you're in, the guide gives complete background on the holiday or legend being enacted.
The success model for these parties, says Kolding, is to put the marketing in the background, give the consumer control and watch it work.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com