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We derive and solve approximate equations describing a circular grain embedded in a fixed matrix.
For a fixed matrix shear stress and droplet elasticity, the steady-state deformation along the vorticity direction and the critical capillary number for breakup both increase with increasing viscosity ratio.
Let D be a fixed matrix with m rows and rk(D =w.
In the first stage, the desired spatial correlation characteristics between M transmitting antenna ports and L probe antennas are realized by a fixed matrix connection.
The FE-2 configuration enables independent Rayleigh fading for different input signal ports when receiving those signals at a receiving point via a fixed matrix connection using Walsh-Hadamard (WH) codes [14, 17].
([9]) Let d ∈ ℕ. Suppose that γ (t): ℝ+ ↦ ℝ d satisfies γ ′ t = M γ t t for a fixed matrix M, and assume γ(t) doesn't lie in an affine hyperplane.
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One-point calibration was performed using a fixed matrix-matched standard (tomato, see Results and discussion section) at a level corresponding to five times the LOQ.
An important example is the kernel of a linear map for some fixed matrix A, as above.
By comparing the expressions (76) and (78) with the analytical results in [7], it is clear that the fixed matrix λ 2 A in the expressions for the conventional DRLS algorithms has been replaced by the matrix F i) in the expressions (76) and (78), which is weighted by the matrix Λ i.
This reformulation converts the original mixed integer nonlinear program (MINLP) with dimensions dependent upon the value of the integer decision variables into a mixed integer convex program (MICP) with fixed matrix dimensions.
The performance of fixed matrix industrial regenerator used for waste heat recovery has been extensively investigated.
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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