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We prove the triviality of the first L2 cohomology class of based path spaces of Riemannian manifolds furnished with Brownian motion measure, and the consequent vanishing of L2 harmonic one-forms.
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Let νe be the pinned Brownian motion measure on Le(G) and let α∈L2(⋀1T⁎Le(G),νe)∩D∞,p(⋀1T⁎Le(G),νe)(1
Improvement (lower values) can be seen in each of the color, histogram, and motion measures, indicating improved accuracy and stability of the proposed segmentation method.
First, an ideal range of motion, measured using sensors and quantified as the required minimum range of motion of the laparoscopic ultrasound probe, was demonstrated by a surgeon.
Play activity and enjoyment were quantified by average wrist range of motion (ROM), motion frequency measures, and a discrete visual scale.
In addition, we included 6 head motion measures (translation variables x, y, and z and rotational variables pitch, roll, and yaw) and recorded eye-coordinates (x and y) as regressors of no interest (coordinate value averaged across scan).
Dynamic Light Scattering measurements are based on the hydrodynamic properties of nanoparticles in constant (Brownian) motion measured over a time interval, and are particularly suited to measurement of spherical nanoparticles and colloids less than 5 nm.
The use of motion measuring devices is discussed and compared to the possible estimation of motion by the structural sensor itself.
Although the taping technique and joint motion measured differs, their findings are in line with the current study.
The average range of inversion and eversion motion measured on day 1 was similar to average range measured on day 2 by each observer, and among observers (Table 1), although the magnitude of the range of motion differed between positions.
The cervical motion measures provide substantial information regarding the severity of function and motion limitation.
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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