Your English writing platform
Discover LudwigExact(2)
The instabilities are predicted by using the linearized shaft model and the post-critical behaviors are determined by applying center manifold theory to the full non-linear equations of motion.
By applying center manifold theory, we find and prove the existence of a transcritical bifurcation at a disease-free equilibrium point and flip bifurcation (or period-doubling bifurcation) at a positive endemic equilibrium point.
Similar(57)
The only differences between these two models are that Hasse applied center of mass as frame reference while Kempers used center of volume.
Three reinforced concrete beams (two triangular beams and one T-beam) were tested at Qatar University to study their behavior under applied center loads (Instron 2003; Al-Ansari 2013b).
The CDC, a third partner,will later help apply center research to public health.
We apply Center Manifold Theory (CMT) as described in [ 18] to establish the local stability of an endemic equilibrium point and check for the existence of backward bifurcation.
In order to detect explicitly if there were differences between the study centers, we applied center-specific constant effects.
These bifurcations are analyzed by applying the center manifold theorem and the normal form theory.
Applying the center manifold theorem to (10) at the origin in the limited neighborhood of ({delta}^=0).
Before applying glue, center the bottle mouth under the bottle base.
To make the problem simpler, we remove μ i from (1) by applying mean centering for row vectors y i and x i to have zero mean.
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