Your English writing platform
Discover LudwigExact(3)
The Jacobian determinant of is, where is the homogenous dimension.
where is the neutral element of, is the Korányi-Folland nonisotropic gauge induced by the fundamental solution, and is the homogenous dimension of (see also [2]).
The homogenous dimension begin{aligned} Q=sum _{i=1}^{s-1} left[ dim (Delta _p^{i+1} -dim (Delta _p^{i+1} -dimenDeltagned} (3.8)coincides with the Hausdorff dimension with respect to the Carnot–Caratheodory distance.
Similar(57)
We examined the purified hDicer using negative staining transmission electronic microscopy (TEM) and found that the protein were mono-dispersed and homogenous in shape and dimension (Fig. 1D).
To investigate whether the tissue was histologically homogenous in the vertical dimension, 3 mm of each block were sectioned and every 400 μm one section was stained and 5 sections were taken for RNA isolation.
The estimated material properties (E) were then used in defining the homogenous rectangular plate with dimensions of the proposed RVE model.
A non-homogenous oil water gas reservoir with dimension of (20 times 40 times 12) grid blocks is considered.
This method yields periodically patterned surfaces with homogenous inverted pyramids with dimensions that can be tuned from 1 to 10 μm as a function of the etching time (see Figure S3 in the Supporting Information).
The gels used in the second dimension were 12.5% homogenous acrylamide gels casted in the laboratory.
The sub-dimensions were not homogenous within themselves, and therefore the results are shown at item level, and no sum scales on dimension bases can be useful.
It has been demonstrated that fusiform gyrus itself is not a homogenous structure, e.g. that the lateral medial dimension distinguishes between objects and tools, and the posterior anterior dimension between simple and more complex visual features (Martin, 2007).
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