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The general theory underlying 2nd-ASAM indicates that, for a physical system comprising Nα parameters, the computation of all of the first- and second-order response sensitivities requires (per response) at most (2Nα+1) "large-scale" computations using the first-level and, respectively, second-level adjoint sensitivity systems (1st-LASS and 2nd-LASS).
To figure out how many calories your cat requires per day to achieve her ideal weight, first weigh her.
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Given sovereign immunity, I'm not sure that any payments by the federal government are ever "required" per se.
It is the first PERC algorithm to provably converge in bounded time without requiring per-flow state or network synchronization.
Our scheme realizes access control on documents without requiring per-query interaction between the data owner and each client.
The other problems represent situations which imply in principle strong spatial reasoning, thus requiring per-region approaches.
This was because the parallelization of the loop used for rotational angles required per-thread memory.
Three additions are required per sample.
For those 3 to 5 years old, 35 square feet of space is required per child.
Some details, like how many class hours are required per week, are still being decided.
This requisite also implies that a minimum of two samples is required per experimental condition.
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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