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In this operator, for each genome of the parent's chromosome, a binary random variable is produced.
Also, application of this operator for obtaining a formal solution of the time-fractional telegraph equation is discussed.
In this operator for each column of solution matrix (i.e., for each decision variable), we replace each gene of the column with mean value of the genes in the higher chromosomes.
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This also qualifies the operator for production.
A special property of this operator, crucial for some energy-conserving numerical schemes and called "triple self-adjointness", is derived in the case of an edge of arbitrary shape.
and operators ("for all" and "for some").
Substitution of this divergence operator for the previously used divergence based on central differences makes a dramatic improvement in the overall volume conservation that is observed in an immersed-boundary computation.
By using Definition 1.4, we can prove the following properties for this integral operator: For f ( z, ξ ) ∈ A ( p ) ξ, m ∈ N, p ∈ N, we have H m f ( z, ξ ) = z p + ∑ k = p + 1 ∞ ( p + 1 ) m ( p + k ) m a k z k, z ∈ U, ξ ∈ U ¯, (1.4).
This operator is useful for both the global adaptation for an entire scene and the local adaptation around a gaze point within the scene.
I'm eyes for the operator for the truck.
|| is the operator for concatenation.
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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