Abstract Because of the increasing demand for energy in recent period, it has become necessary to intensify study field evaluating performance gas station under first and second laws efficiency. The exergy losses stations are represented by compressor, combustion chamber, turbine. Therefore, this work aims analyze a 55 MW Taza power station. investigation demonstrated that most significant misf...

Learning representations on Grassmann manifolds is popular in quite a few visual recognition tasks. In order to enable deep learning on Grassmann manifolds, this paper proposes a deep network architecture by generalizing the Euclidean network paradigm to Grassmann manifolds. In particular, we design full rank mapping layers to transform input Grassmannian data to more desirable ones, exploit re...

We give new insight into the Grassmann condition of the conic feasibility problem find x ∈ L ∩K \ {0}. (1) Here K ⊆ V is a regular convex cone and L ⊆ V is a linear subspace of the finite dimensional Euclidean vector space V . The Grassmann condition of (1) is the reciprocal of the distance from L to the set of ill-posed instances in the Grassmann manifold where L lives. We consider a very gene...

This is a current version of a part of the book “Transformations of Grassmann spaces”. We study transformations of Grassmann spaces preserving certain geometrical constructions (related with buildings). The next part will be devoted to Grassmann spaces associated with polar spaces.

Using a combinatorial approach to studying the hyperplane sections of Grassmannians, we give two new proofs of a result of Nogin concerning the higher weights of Grassmann codes. As a consequence, we obtain a bound on the number of higher dimensional subcodes of the Grassmann code having the minimum Hamming norm. We also discuss a generalization of Grassmann codes .

Here we demonstrate the emergence of Grassmann variables in matrix models based on the exceptional Jordan algebra. The Grassmann algebras are built naturally using the octonion algebra. We argue the appearance of Grassmann variables solidifies the relationship between supersymmetry and triality.

When anticommuting Grassmann variables are introduced into a fluid dynamical model with irrotational velocity and no vorticity, the velocity acquires a nonvanishing curl and the resultant vorticity is described by Gaussian potentials formed from the Grassmann variables. Upon adding a further specific interaction with the Grassmann degrees of freedom, the model becomes supersymmetric.

We consider the graph whose vertex set is a conjugacy class C consisting of finite-rank self-adjoint operators on complex Hilbert space H. The dimension H assumed to be not less than 3. In case when from have two eigenvalues only, we obtain Grassmann formed by k-dimensional subspaces H, where k smallest eigenspaces. Chow's theorem describes automorphisms this for k>1. Under assumption that more...

The problem of Lagrangian and Hamiltonian mechanics with Grassmann variables has been discussed previously in works [1, 2, 3] and an examples of solutions for classical systems were presented. In this paper we propose the Hamilton-Jakobi method for the solution of the classical counterpart of Witten‘s model [4]. We assume that the states of mechanical system are described by the set of ordinary...

A variation to the usual formulation of Grassmann representation path integrals is presented. Time-indexed anticommuting partners are introduced for each Grassmann coherent state variable and a general method for handling the effect of these introduced Grassmann partners is also developed. These Grassmann partners carry the nilpotency and anticommutivity of the Grassmann coherent state variable...