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This formula is valid only for low to relatively high speeds; for extremely high-speed particles it yields values that are too small.
We are not attempting to refine the Mastin formula in any general way, only scale it in such a way that when integrated it yields values that fit our total volume estimates.
Whereas the transform for 'recent reporting' follows the same shape, it yields values between −1 and 0 instead of between 0 and 1.
Equation 3 reduces to the Langmuir equation when K L == 0, but it yields values of Γ greater than Γ m at high concentrations c eq when K L > 0.
We solve Equation 10 for σ1 for Q ε[1/(2 J − 1), 1/(2 J − 3)), where both ⌈ σ 1 − 1 ⌉ and ⌈(1 + Q /(2 Q)⌉ are equal to J: (28) r (F ) = 1 J (1 + (2 J − 1 ) F − 1 (J − 1 ) (1 + F ) ), A negative root is discarded because it yields values that are incompatible with the definition that σ1 ≥ σ i for all i > 1.
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That process yields values for co-ops and some condos that are far below what they would sell for, Mr. Sweeting said, particularly in Manhattan.
This model has already been validated [Mechanics of Materials 34 (2002) 217]; it yields finite values and a delamination onset criterion involving the maximum value of the interfacial stresses can be thus considered.
But it warns the department that its efforts will not deliver "transformative impact" until it scales up its projects, sets specific targets and indicators for its work, and collects the necessary data to help it assess whether its programmes yield value for money.
But nature does not yield values on its own.
Hence, when sending group of images, the proposed method has an advantage over the other methods as it yields higher PSNR values without any restriction on the CR value.
When called, a generator function doesn't return a particular yielded value, but instead a generator (which is a type of iterator) that itself can return the yielded values.
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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