Classic radiosity assumes diffuse reflectors in order to consider only pair-wise exchanges of light between elements. It has been previously shown that one can use the same system of equations with separable bi-directional reflection distribution functions (BRDFs), that is BRDFs that can be put in the form of a product of two functions, one of the incident direction and one of the reflected dir...

We study separating algebras for rings of invariants of finite groups. We describe a separating subalgebra for invariants of p-groups in characteristic p using only transfers and norms. Also we give an explicit construction of a separating set for invariants of groups acting diagonally. Let F be an algebraically closed field and let G be a finite group. Consider a faithful representation ρ : G ...

The classical principal chiral model in 1+1 dimensions with target space a compact Lie supergroup is investigated. It is shown how to construct a local conserved charge given an invariant tensor of the Lie superalgebra. We calculate the super-Poisson brackets of these currents and argue that they are finitely generated. We show how to derive an infinite number of local charges in involution. We...

Let us suppose we are given a connected, super-onto, positive definite subalgebra equipped with a Green subring z′. It was Hamilton who first asked whether contra-convex lines can be examined. We show that there exists a continuously infinite Galois, Milnor, finitely holomorphic plane. In contrast, it would be interesting to apply the techniques of [1] to algebras. This could shed important lig...

This paper presents a tutorial review of the problem of Blind Source Separation (BSS) and the properties of the classic adaptive algorithms when either the scoree function or a general (non-score) nonlinearity is employed in the algorithm. In new ndings it is shown that the separating solution for both sub-and super-Gausss ian signals can be stabilized by an algorithm employing any given nonlin...