Your English writing platform
Discover LudwigSuggestions(1)
Exact(5)
The Jacobian of the averaged control system is continuous with respect to perturbations to (f_{a}) and (f_{b}) in (C^{2}).
Therefore, the overall control law for the closed-loop system is continuous, which offers some distinct advantages over the existing discontinuous ones.
Next, two properties of that new system are established: The rational numbers can be embedded into it, in a way that respects the order and the arithmetic operations defined on those numbers (a corresponding field homomorphism exists); and the new system is continuous, or line-complete, with respect to its order.
A system of transition probabilities is non-null if for all n ∈ Z and all ω − ∞ n − 1 ∈ A − ∞ n − 1 P [ ω ( n ) | ω − ∞ n − 1 ] > 0. Following [50], a chain with complete connection μ is a Gibbs measure consistent with the system of transition probabilities p ( n, ⋅ ) if this system is continuous and non-null.
Between "impulses", t k, the system is continuous, behaving as a system of ODEs.
Similar(55)
The functions involved in the proposed coupled system were continuous and satisfied certain growth conditions.
In classical physics, the physical quantities describing the dynamics of a complex system are continuous, but differentiable functions depending only on spatial coordinates and time.
Though, the processes were two stage, the system was continuous as the enzyme prepared was immediately used to prepare the FOS.
In each period of this sandwich control system, the first and third parts of the control system are continuous controls, which may be continuous controls with different control gains.
However, these techniques suppose the changes in the system are continuous and slow, so there is enough time to determine and execute the proper actions before a fatal error occurs.
The key goals of the system are continuous operation, uniform heating of the reactive material, the ability to heat reactive material to 1723 K or higher, and flexibility of control.
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