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If condition (2) holds then no line intersects all the segments AB, BC, DE, EA (if such line exists then it also intersects the segment CD by condition (2) which is impossible due
The categories of prespectra, symmetric spectra and orthogonal spec- tra each carry a cofibrantly generated, proper, topological model structure with fibrations and weak
Let X be a smooth projective variety defined over an algebraically closed field k of positive characteristic.. By our assumption the image of f contains
One dimension is whether they are valid in the plane or in space, a second is whether we consider quasiballs, quasiconformal mappings and Apollonian bilipschitz mappings or
2 Combining the lemma 5.4 with the main theorem of [SW1], we immediately obtain the following corollary.. Corollary 5.5 Let l > 3 be
From the local results and by Theorem 4.3 the phase portrait is symmetric, we obtain three possible global phase portraits, the ones given of Figure 11.. Subcase 1 Subcase 2
We study the classical invariant theory of the B´ ezoutiant R(A, B) of a pair of binary forms A, B.. We also describe a ‘generic reduc- tion formula’ which recovers B from R(A, B)
We will study the spreading of a charged microdroplet using the lubrication approximation which assumes that the fluid spreads over a solid surface and that the droplet is thin so