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As shown in Fig. 4, for the control loop of Mode i, the Mode i component of (Delta omega_{Gen}) is extracted by modal filter i, and imposed by proper gain and phase shift.
The heating and cooling temperature data shown in Figure 2 A have a characteristic thermal time constant: 3where m is the mass and C p is the heat capacity of each i component of the sample cell.
Based on the given time series data, the tool calculates the gene regulatory matrix W and the perturbation vector B. The parameter w i, j (component of W) represents a regulatory interaction between the two genes i and j while the parameter b i (component of B) represent an influence from the external stimulus given by the function u(t) on gene i (see equation 1).
(1) ẋ i (t ) = ∑ j = 1 n w i, j x j (t ) + b i u (t ) 2. Based on the given time series data, the tool calculates the gene regulatory matrix W and the perturbation vector B. The parameter w i,j (component of W) represents an influence of gene j on the expression of gene i, while the parameter b i (component of B) represents the impact of the external stimulus given by the function u(t).
Experimental results confirmed that when the interface experiences mode I component of loading in the form of normal out-of-plane tensile or compressive stresses, the bond strength would respectively decrease or increase over the control specimen.
Dr. Hall was a Contributing Author to the 2007 IPCC 4th Scientific Assessment of Climate Change Working Group I report, and Lead Author for Chapter 14 of the Working Group I component of the IPCC 5th Assessment Report.
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Symbol Meaning Value υ Velocity υ i i-component of velocity Deviatric stress tensor P Pressure ρ Density g Gravitational acceleration 10 m/s2 Unit vector in i-direction η Viscosity ρ0 Reference density 4000 kg/m3 a The coefficient of thermal expansion 3 × 10 -5/K T Temperature κ Thermal diffusivity 10 -6 m2/s ωA Angular velocity of plate A See text.
Collagen type 1 chains α-1(I) and α-2(I), components of fibrillar collagen, were identified in the isolated ECM by proteomic analysis.
where i denotes the i th component of vector.
w1, i and w2, i are the i-th component of vectors w1 and w2, respectively.
where x i (i = 1, 2, …, K) is the i th component of X.
Write better and faster with AI suggestions while staying true to your unique style.
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