... and rice, including an imaging apparatus, the automatic reconstruction of the 3D root systems from 2D images, and the analysis ... Part 3. The analysis is done on a 3D image representing a root, or a series of such images representing a growing root. ...
... image of 8*, via some homomorphism which preserves the orders of t, ut, vt and uv, then if p and q denote the orders of the ... image of t lies in the subgroup generated by the images of u and v, or equivalently, since t inverts each of u and v by ...
... element t K with v(t) = 0 we have ptp-1 r (t) mod MK where t is the image of t in K1 ... Denote by L its image in O . Take a K1 \ L . ... beginning of this proof pk pk we deduce that the image of (a - x)c(a - x)-1 in K1 is ...
... gives a realization of the facet of P ; its symmetry group is the image Gn-1 of n-1 ... of a realization of the vertex-figure of P , with symmetry group the image G0 of 0 ... as usual, the other vertices, edges and facets are their images under G ...
... p, q}, is a non-degenerate homomorphic image of this group G p,q,~, 'non-degenerate ... be taken as the cosets in G of the (images of the) subgroups V = (b, c), E = (a, c ...
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Ссылки http://dfgm.math.msu.su/files/papers-sym/reg%20maps%20nonorientable%20surfaces.pdf -- 539.3 Кб -- 27.02.2008 Похожие документы
... To do that, we should take a generic immersion of the atom's frame in R2 , put virtual crossings at the intersection points of images of different edges and restore classical crossings at images of vertices "as above". ...
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Ссылки http://dfgm.math.msu.su/files/0articles/Ilyutko/ilyutko-JKTR.pdf -- 418.6 Кб -- 21.08.2009 Похожие документы
... e an y functio n o n B is "th e image " of som e circula r functio n o n A for ... A, which have the following properties: 1) The image ~ = i(A ) of the submanifold A ...
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Ссылки http://dfgm.math.msu.su/files/0articles/Kudryavtseva/rd_3_46.pdf -- 1162.5 Кб -- 07.10.2009 Похожие документы