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The phrase "continuous inclusion" is correct and usable in written English
It can be used to refer to a process of continuously including or incorporating people or things in a particular group or system. For example, "The company has implemented a policy of continuous inclusion in their hiring process in order to create a more diverse workplace."
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where the inequality has been used and represent the continuous inclusion of on.
An integrated process which combines continuous inclusion body dissolution with NaOH and continuous matrix-assisted refolding based on closed-loop simulated moving bed size exclusion chromatography was designed and experimentally evaluated at laboratory scale.
end{aligned}If (alpha le 0) and (beta le 0), then we obtain this inequality with a constant independent of n (note that we have the continuous inclusion (L^{2} [-1,1], 1-x ^{alphaa } (1-x ^{alpha}dx) subseteq L^{2}([-1+x], dx)) since (inf _{xin (-1,1)} (1-x)^{betaa }dx1+x)^{beta } > 0)).
Additionally, our expectation is that we can perform the continuous inclusion of new complexes (including new MHC alleles) and the development of automated tools (clustering cross-reactive targets).
Let X0 and X1 be Hilbert spaces with X 0 ⊇ X 1 and continuous inclusion, i.e., there exists some constant C > 0 such that (32) ‖ x ‖ X 0 ≤ C ‖ x ‖ X 1 for all x ∈ X 1. Interpolation theory, e.g., [7], provides a means to define intermediate spaces (33) X 1 ⊆ X s ≔ [ X 0 ; X 1 ] s ⊆ X 0 for all 0 < s < 1, where s denotes the interpolation operator of, e.g., the K-method.
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According to the dense and continuous inclusions B ↪ L λ ↪ L 2 ↪ L λ ∗ ↪ B ′, Open image in new window.
By combining the above results with the interpolation theory we proved continuous inclusions between spaces ℓw1(ℓϕ0) and ℓφ(ℓϕ1), where ℓϕ0↪ℓϕ1 and φ is a certain Orlicz function depending on ϕ0 and ϕ1.
We recall the Sobolev embedding theorem on H p 1, p 2 n p 1 ( R n ), which states that the continuous inclusions H p 1, p 2 n p 1 ( R n ) ↪ L q 1, q 2 ( R n ) hold for all q 1 ∈ [ p 1, ∞ ) and q 2 ∈ [ p 2, ∞ ].
In view of the continuous inclusions above, we see that the initial spaces (dot{mathbf{N}}_{r,lambda,infty}^{-s}) ((r>max{frac{n-lambda }{2sigma-1}, n-lambda}), (lambdefineddefined in Theorem 1.1 is larger than pseudomeasure space ({PM}^{n-2sigma+1}) in [17].
Moreover, interpolation reveals the continuous inclusions H ˜ ± s ⊆ H ± s as well as H ˜ ± s = H ± s.
The most important consequence, however, is the so-called interpolation estimate: Let X 0 ⊇ X 1 and Y 0 ⊇ Y 1 be Hilbert spaces with continuous inclusions.
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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