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Particularly, we use the following function: (13).
We use the following function to estimate how water demand changes with price: w = α p ϵ Open image in new window (1).
We can use the following function as the weight definition of classifier i. w i = 1 ∏ j = 1 t I ( C j, C j ' ) (24).
If t3 − t2 = t2 − t1, then we can obtain c3 − c2 < c4 − c3; we can use the following function to describe the relationship between the RPCB, travel time, and passenger ticket cost: V_{{text{RPCB}}} = Fleft( {c,t} right).
As stated before, we use the following function to determine the number of iterations: Z ( E b / N 0 ) = 2 ( 5 ( E b / N 0 ) / 5 ). Figure 16 HNN-TE BPSK and 4-QAM performance in a long channel at a fixed speed for various numbers iterations.
(8). Figure 1a shows that, in general, longer travel distance means more travel time, so we use time to replace distance; if t3 − t2 = t2 − t1, then c3 − c2 < c2 − c1; we can use the following function to formulate the relationship between the travel time and passenger ticket cost: t = fleft( c right).
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To motivate the construction of the time-discrete scheme, we use the following functions: textstylebegin{cases} v x,t)=frac{partial u x,t)}{partial t}, w x,t)=frac{1}{Gamma 1-alpha)} int_{0}^{t}frac{partial v(x,s)}{partial s}frac{ds}{(t-s)^{alpha}}, z(x,t)=frac{1}{Gamma 1-alpha)} int_{0}^{t}frac{partial u(x,s)}{partial s}frac{ds}{(t-s)^{alpha}}. end{cases} (2.1).
Below we use the following functions for 1≤j≤2N: f 4 j + 1, k = γ k 4 j − 1 sin A k, f 4 j + 2, k = γ k 4 j cos A k, f 4 j + 3, k = − γ k 4 j + 1 sin A k, f 4 j + 4, k = − γ k 4 j + 2 cos A k, Open image in new window (9).
Next, we can map into using the following function: (23).
In his proof, he has used the following function: (2.1).
For a very sparse probability density function, Hyvärinen [20] used the following function to represent a sparse distribution: (14).
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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