A linear group G < GL(n) acts on d-tuples of n×n matrices by simultaneous conjugation. In [Adv. Math. 19 (1976), 306–381] Procesi established generators and relations between them for G-invariants, where G is GL(n), O(n), and Sp(n) and the characteristic of base field is zero. We continue generalization of the mentioned results to the case of positive characteristic originated by Donkin in [Inv...

Kingman derived the Ewens sampling formula for random partitions from the genealogy model defined by a Poisson process of mutations along lines of descent governed by a simple coalescent process. Möhle described the recursion which determines the generalization of the Ewens sampling formula when the lines of descent are governed by a coalescent with multiple collisions. In [7] authors exploit a...

We present a set-theoretic, proof-irrelevant model for Calculus of Constructions (CC) with predicative induction and judgmental equality in Zermelo-Fraenkel set theory with an axiom for countably many inaccessible cardinals. We use Aczel’s trace encoding which is universally defined for any function type, regardless of being impredicative. Direct and concrete interpretations of simultaneous ind...

A new fractional order seminorm, ICTV r , r ∈ R , r ≥ 1 , is proposed in the one-dimensional setting, as a generalization of the standard ICTV k -seminorms, k ∈ N . The fractional ICTV r -seminorms are shown to be intermediate between the standard ICTV k -seminorms of integer order. A bilevel learning scheme is proposed, where under a box constraint a simultaneous optimization with respect to t...

A common belief in high dimensional data analysis is that data is concentrated on a low dimensional manifold. This motivates simultaneous dimension reduction and regression on manifolds. We provide an algorithm for learning gradients on manifolds for dimension reduction for high dimensional data with few observations. We obtain generalization error bounds for the gradient estimates and show tha...

In this paper we present application of greedy interference avoidance to wireless systems with multiple bases which do not collaborate or exchange information. We start with a simple system consisting of two users and two base stations for which we formally state a greedy interference avoidance algorithm and show that its application converges to a simultaneous water filling solution which is a...

three antituberculosis medications are investigated in this work consist of rifampicin, isoniazid and pyrazinamide. the ultra violet (uv) spectra of these compounds are overlapped, thus use of suitable chemometric methods are helpful for simultaneous spectrophotometric determination of them. a generalized version of net analyte signal standard addition method (gnassam) was used for determinatio...

 In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.

The construction scale of the shield tunnel underpass is expanding day by day. In order to study safety influence and deformation control on existing tunnel, LSSVM model established. Based collected soil storage pressure, foam volume, simultaneous grouting volume other six parameters corresponding sample data bottom displacement, horizontal displacement settlement caused approach are predicted....