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First, some general quasi-synchronization conditions are derived with explicit expressions of the error bound.
A modified control-oriented model is first derived with explicit consideration of the actuator dynamics property.
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A finite difference numerical solution is derived with a forward explicit time integration in the time space domain.
Analytical solutions for the growth of an isolated sphere from zero initial size have been derived with diffusivity an explicit function of concentration.
Four experimental conditions (approximately 100 trials each) were derived: explicit negative, explicit positive, assigned negative and assigned positive.
Explicit controller designs are derived with all closed loop eigenvalues placed at the same location.
Based on this mechanism, an explicit expression for the auto-ignition prediction was derived with the activation-energy asymptotic treatment.
Next, the explicit algebraic expressions for the dynamic stiffness elements are derived with the help of symbolic computation.
Additionally, new modifications to the CFM are derived, allowing compatibility with explicit multi-step methods, such as Runge Kutta (RK4), without a reduction in accuracy.
Specifically, this study adopted the robust maximum likelihood estimator (MLR) to estimate parameters for non-normally distributed data and derived the explicit expression of latent variables with intercepts.
Finite element solutions for a square plate with all edges simply supported are derived in explicit form by using the double U-transformation method.
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CEO of Professional Science Editing for Scientists @ prosciediting.com