(oct 2011) - 16 Perfectoid Spaces and the Weight-Monodromy Conject 1:43:31 André JOYAL - 14 A crash course in topos theory the big picture 1:13:22 Hugo Duminil-Copin - La marche aléatoire auto-évitante 1:01:15 Alain Aspect - Le photon onde ou particule L’étrangeté quantique ...
Of course, at the same time the sets V must obey the appropriate conditions; in the simplest case they are convex cones. This theory includes the theory of the corresponding pseudo-Riemannian spaces. (6) The axiomatic method in its pure form now serves either for the formalization of ...
Part II consists of the lecture notes for the course given by the second author in the spring quarter, 2003. It gives introduction to invariant theory with a view towards GCT. No background in algebraic geometry or representation theory is assumed. These lecture notes in conjunction with the ...
But if we are really more interested in t than in X per se, measurement theory tells us that the larger the number of measurements obtained of X, the closer does the mean of all the Xs approach t. The idea that there exists a true value, t, to be approximated ever more closely by...
GEOMETRICFUNCTIONTHEORYDAVIDBEN-ZVIDearCafePatrons,InthisguestpostIwanttobrieflydiscusscorrespondences,integraltransformsandtheircate-gorificationastheyapplytorepresentationtheory,atopicthatmightbecalledgeometricfunctiontheory.Thishasbeenoneofthefundamentalparadigmsofgeometricrepresentationtheory(to-getherwithlocalizationof...
Feynman himself, of course, introduced into physics a profound change in notation with his space–time diagrams for quantum field theory. Previously, writing out the terms in an infinite series for a probability amplitude involved a laborious algebraic procedure, which Feynman replaced with simple ...
From this setting Husserl definitely takes the distances, because its base is the confusion between field of view and representation of the surface. The central point is therefore that the visual field is not some sort of objective surface in space (TS, 141). In the constitution of three-...
I.M. James, in Handbook of Algebraic Topology, 1995 In Poincaré's work the discussion is mainly conducted in geometric terms. It was not until much later that the value of a more algebraic approach became recognized. By the thirties the terms “Algebraic Topology” and “Geometric Topology”...
In the D-GDL, a local representation learning (i.e., a local sensitivity-based deep convolutional belief network) is introduced into the structure of the DL network to effectively capture the local geometric and visual information from the structure of the recommended 3D objects. A kernel-based...
When a structure rotates significantly, the engineering strains used in basic theory will no longer give a useful representation. Rigid body rotations will cause nonzero components of the engineering strain tensor. This will, through the constitutive law, cause stresses that for physical reasons should...