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As such, they are parties which are readily associated with national identity, and which have always stood for certain values of liberty and free enterprise.
For certain values of θ, it is easy to figure out what the sine and cosine values are going to be just by thinking about what the angle corresponds to on the circle; the simplest cases are for θ = 0°, which is a line pointing right, giving cos θ = 1 and sine θ = 0; a line pointing straight up (ie. θ = 90°), which gives us cos θ = 0 and sine θ = 1, and so on.
Consequently for certain values of the static force multiple jumps can occur.
Chaotic behavior of cellular flame structures is observed for certain values of UIN.
The most striking result is the vanishing of |M22−M11| for certain values of x Al 1.
In particular, for certain values of model parameters, the mean excitatory synaptic drive has an asymptotically stable equilibrium point.
We show that, for certain values of the numbers of treatments and arrays, the designs which are D-optimal have the highest breakdown number.
Our main result is the proof that many classical NP-hard graph-theoretic optimization problems remain NP-hard on power-law graphs for certain values of β.
However, for certain values of the total energy an assertion similar to the Rayleigh theorem actually can be made (Theorem 1).
As an example, we prove the existence of the multi-polaron in the Pekar Tomasevich approximation, for certain values of the coupling constant.
It is shown that dramatic changes in the natural frequencies and mode shapes occur for certain values of the parameters of the attached elements.
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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