Sentence examples for the image measure from inspiring English sources
We denote by μn the image measure in Cn of μ⊗σn under the map (t,ξ)↦√tξ, where σn is the rotation invariant probability measure on the unit sphere.
The high-contrast particles in the image measure 6.2 ± 0.8 nm in diameter.
where ϑ S p ( K, ⋅ ) is the image measure of S p ( K, ⋅ ) under the rotation ϑ.
On the other hand, very often the functional F involves explicity the density of the image measure ((nabla u)_ mu ) (as it is the case for the typical example (mathcal {F})), and in this case convexity of u helps in computing this image measure.
The group SO ( n ) acts on these spaces by left translation, i.e., for f ∈ C ( S n − 1 ) and μ ∈ M ( S n − 1 ), we have ϑ f ( u ) = f ( ϑ − 1 u ), ϑ ∈ SO ( n ), and ϑμ is the image measure of μ under the rotation ϑ.
This means that we also define a new surrogate of the image measure ((nabla u)_ mu ), called (G^{ac}( u,P)) (where the superscript ac stands for absolutely continuous), given by Open image in new window where (A_jpartial u(x_j cap Omega ) (the intersection with (Omega ) is done in order to take care of the constraint (nabla uin Omega )).
The image is recorded for a fixed value of a and ω and the contrast in the image measured.
The parchment measures 12.9 x 15.2 cm; the image measures 12.7 by.
Intensity values in selected ion images were normalized to the highest intensity within the image, measured for each ion species separately.
One of the primary determinants of the compression error is the level of noise in the image, measured in MRI by the signal-to-noise ratio (SNR).
If the cell with the filename is marked in Excel, starting the macro loads the image, measures distances, writes year-tags to the image and writes the results to the Excel spreadsheets.
