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The number of intersections per 1 mm length in circles with radius between 40 μm (minimal distance from the center of the plaque) and 140 μm (the average distance to the neighboring plaque) was measured with 5-μm intervals (Fig. 3G,H).
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By contrast, the corresponding map Kp established by the initial value problem for the periodic KdV equation ∂tu+u∂xu+ ∂3xu = 0, u x, 0) = φ(x) for x ∈ S, t ∈ R, where S is the unit length circle in the plane, is known to be continuous only from Hs(S) to C([−T, T]; Hs(S)).
The most famous isoperimetric inequality is of course the classical one, establishing that among all simple closed curves of given length in the Euclidean plane the circle of the same circumference encloses maximum area; the respective inequality is given by.
Female worms, about 2 cm (almost 1 inch) in length, rise to the surface shortly after sunset and swim in circles while ejecting a luminous secretion.
To examine the effect of sequence length on the error-threshold, the error-threshold measured through the above method is plotted for various sequence length in Fig. 1(A) (filled circles) for high lethality of mutants (κ = 0.05).
Spine length is depicted as squares over branches in the phylogeny, and the associated parasite prevalence is depicted in circles.
Derived from the Greek for solid and the English word radian, a steradian is, in effect, a solid radian; the radian is an SI unit of plane-angle measurement defined as the angle of a circle subtended by an arc equal in length to the circle's radius.
We ran in circles.
He's going in circles.
Briefly, Collins walked in circles.
"Pavement" keeps running in circles.
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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