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A hybrid objective function is introduced by minimizing the discrepancies between the measured and calculated natural frequencies and correlation function vector of acceleration of damaged and intact structures.
For instance, Newton's second law tells us that each specific, determinate mass m (a scalar, and so a monadic property) and total impressed force f (a vector, and so a relational property) stand in the N-relation to the appropriate relation (vector) of acceleration a (= f/m).
To study the survival rate of animals in conditions of hypergravity loading [ 22] wakeful rats were placed into special containers of centrifuge in craniocaudal orientation relatively to the vector of acceleration.
In case of craniocaudal vector of acceleration (9 g during 12 minutes) the movement of blood occurs towards caudal orientation: as a result, the perfusion pressure falls dramatically down to the zero in all vessels of the head and brain ischemia develops.
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where G u is the unit vector of the acceleration and both E u and N u are the unit vector of y direction and the magnetic north, respectively.
(u= u_{1} x,t),u_{2} x,t))^{T}) represents the velocity vector, (p x,t)) represents the pressure, (T x,t)) represents the temperature, κ represents the Grashoff number, (lambda=mathit{Pr}^{-1}), Pr is the Prandtl number, g represents the vector of gravitational acceleration, (nu =mathit{Re}^{-1}), Re is the Reynolds number, and f and b are the forcing functions.
end{aligned} (1.1) where Ω is a bounded convex polygonal domain, (u= u_{1},u_{2})^{T}) is the fluid velocity, p is the pressure, θ is the temperature, (nu>0) is the viscosity, (lambda=Pr^{-1}, Pr) is the Prandtl number, (j= 0,1)^{T}) is the vector of gravitational acceleration, (T>0) is the final time, and f and g are the forcing functions.
Total measurable acceleration is defined as the acceleration obtained as a vector sum of negative gravitational acceleration (represented as equivalent central acceleration) and the vector of Newton's total acceleration.
In the absence of specific data, it is the authors' practice to position the patient so the vector of greatest anticipated acceleration runs perpendicular to the patient's long axis.
The dynamic performance evaluation indices are designed on the basis of maximum and minimum magnitude of acceleration vector of the moving platform produced by a unit actuated force.
Picture every pedestrian as a deer-in-the-headlights: I like to use my honed bike courier mind to anticipate the vector and acceleration of everyone around me on the street.
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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