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Let (varepsilon> 0) be a fixed parameter.
Let k > 1 be a fixed parameter and let G be a bounded subset of X.
Let ρ ∈ [ 0, 1 ) be a fixed parameter, Ω ⊂ R 3 be a bounded domain with sufficiently smooth boundary ∂ Ω.
The HYK model [ 32] was chosen for the use of three features: distinguished transition/transversion mutation events (assumed to be a fixed parameter), a nucleotide equilibrium model, and the evolutionary time interval defined by the tree branch length.
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where, are the directional derivatives, is an orthonormal basis of, and is a fixed parameter.
In SPs, the following fuzzy comparison function is used: for two numbers A and B, and where ν is a fixed parameter.
The branching mechanism of each particle depends on the path of the particle itself during its short lifetime ε=n −2α, where n is the number of initial particles and ({alpha }is a fixed parameter.
It generates the iterates according to the following recursion: u^{k+1}=P_{K}bigl[u^{k}-rho Tbigl( bar{u}^{k}bigr bigr], where bar{u}^{k}=P_{K}bigl[u^{k}-rho T bigl({u}^{k}bigr bigr], and (rho>0) is a fixed parameter.
One can verify that begin{aligned}& D_{q,z} S_{q} wz) = frac{w}{1-q}C_{q}( sqrt{q}wz), & D_{q,z} C_{q} wz) = -frac{w}{1-q}S_{q}( sqrt{q}wz), end{aligned} where (zinmathbb{C}) and (winmathbb{C}) is a fixed parameter.
As the multiplier was a fixed parameter adapted from the literature of 1.61, the multiplier-based estimate is exactly 161% of the conventional.
We create a confidence interval [ f p j −, f p j + ] as the (1 − γ ) equal-tailed posterior probability interval of the Beta distribution with parameters (c p j + 1, d p j + 1 ) where γ is a fixed parameter.
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