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For x, y ⊆ ω, the function determined by y is defined as fun y)(x) = { m : ∃en ⊆x.
where is the arc length of and applying the Green formula, we can see that the function determined by the integral in (1.8) in is single-valued.
Statistical value χ 2 : the function determined by the statistical value χ 2, shown in Eq. 4, emphasizes large discrepancies between the feature vectors compared [32].
If we consider the vertical actions exchanged between rail and superstructure, the transfer function (16), even if obtained by choosing some simplifications, coincides with the function determined through the solution in closed form of an elastic half-space complete equations for the vertical oscillations on a R radius disk [8].
Each task consists of a looping "do case" function with progress through the function determined by the fixation state passed from the sequencer.
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In contrast to real differentiable functions, which are as "flexible" as string, complex differentiable functions are "rigid" in the sense that any region of the function determines the entire function.
If the function determines that the pixel is outside the affected range, the adder input is forced to zero.
Order of the function determines whether the function is basic for the microstructural property or is a derivative of basic descriptor.
Although we designed the APMF as (19) to deal with different situations, how to choose appropriate parameters in the function determines the tone mapping performance.
The functions determining the vibration process are decomposed by a Fourier analysis using the averaged frequency, the coefficients of the resulting series being obtained as analytical expressions.
For example, the sentential function determined by the sentence "∀x(Nx→¬Mx0)" is the expression "∀x(Px→¬Yxy)" (in which "P", "Y" and "y" are new variables).
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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