background: advances in information technology and data collection methods have enabled high-speed collection and storage of huge amounts of data. data mining can be used to derive laws from large data volumes and their characteristics. similarly, fuzzy logic by facilitating the understanding of events is considered a suitable complement to scientific data mining. materials and methods: the pre...

A bstract Double Field Theory (DFT) is an attempt to make the O ( d, d ) T-duality symmetry of string theory manifest, already before reducing on a -torus. It known that supergravity can be formulated in D, D covariant way, and remarkably this remains true first order ?? . We set up systematic way analyze invariants, working by fields, which we carry out 3 At recover Riemann squared invariant, ...

We review and apply a computational theory of the feedforward path of the ventral stream in visual cortex based on the hypothesis that its main function is the encoding of invariant representations of images. A key justification of the theory is provided by a theorem linking invariant representations to small sample complexity for recognition that is, invariant representations allows learning f...