More generally, the Morse index of a solution is defined as the maximal dimension of all subspaces E of (C^{k}_{c}(mathbb {R}^{n})) such that (Q_{u} (psi)< 0) in (Ebackslash{0}).
For a protein with 500 amino acids, each of which is selected from a list of 20 possibilities, this means that the maximal dimension of the corresponding configuration space is 10,000.
For a nilpotent Lie group G, we obtain the estimate ||Fp(G)||⩽Ap2 dim G−m2, where m is the maximal dimension of the coadjoint orbits.
Since the optimization of LDA produces at most L - 1 features [20], the maximal dimension of Fisherfaces is also L - 1, where L is the number of individuals.
The MIT-1003 dataset contains 1,003 natural images of varying dimensions (the maximal dimension of the width and height is 1,024 pixels), along with human fixation data from 15 subjects.
Here ψ A (z) is called the minimal polynomial of A. Let us recall here that the maximal dimension of the Jordan blocks (J_{k,1},J_{k,2},dots,J_{k,{mathcal {M}}_{k}}) corresponding to λ k is m k.
For adults with LDS 1 or 2, this includes surgical repair of the aortic root once the maximal dimension of the aortic root reaches 4.0 cm.
Then, the limit of possible blob growth for the image referential directions left, bottom, right and top are determined, according to the position and shape of the possibly occluding elements (polygons) and the maximal dimensions of the expected objects in the scene (given different blob sizes).
The crystals grew to maximal dimensions of ∼0.4 mm × 0.4 mm × 0.05 mm in 2 weeks.
19 Tumours were measured from two dimensional images at the maximal dimensions of the tumour.
