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The occurence of bimodal dispersions exhibiting particles of supercage size as well as particles exceeding this dimension requires lattice fragmentation, i.e. the presence of protons and water, and the possibility for initial agglomeration by collisions with high sticking probabilities.
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When the thickness exceeds this transverse dimension it is found that the flame becomes sensitive to the high-speed hydrogen stream.
It is clear that the dimension of maximal integral manifold does not exceed the dimension of the distribution.
The Shapley Folkman lemma suggests that if the number of summed sets exceeds the dimension of the vector space, then their Minkowski sum is approximately convex.
The problem solved by sparse representation is to look for a compact representation of signals in terms of linear combination of atoms in an over-complete dictionary [i.e. a dictionary including a number of atoms (p) that exceeds the dimension of the signal space (n)].
For cases in which the number of frequencies in the data exceeds the dimension of omega, for instance multiple frequency data with a single frequency model, the above approximation for the evidence is ill-suited as the posterior will cease to be unimodal.
Many malls in Jakarta grossly exceed the dimensions stipulated in the city's 2010 spatial planning bylaws.
While fellow artists like Jackson Pollock and Willem de Kooning created high drama with drips and bravura brushwork on billboard-size canvases, Mr. Seliger conjured up his own private worlds on canvases, and later Masonite boards, that rarely exceeded the dimensions of a cafeteria tray.
However, our understanding is that most application deployments will not exceed the dimensions in Table 1 which requires large amounts of space and supporting infrastructure.
In the case of substrates having limited dimensions, it is necessary to ensure that the dimensions of the critical secondary nucleus do not exceed the dimensions of the substrate crystal.
First, in order to establish an initial limit for the possible blob bounds, the largest maximum dimensions of expected objects are considered at the blob position, and those who exceed the dimensions of the analysed blob are enlarged.
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