We consider the numerical solution of systems of index 2 implicit differential-algebraic equations (DAEs) by a class of super partitioned additive Runge-Kutta (SPARK) methods. The families of Lobatto IIIA-B-C-C-D methods are included. We show super-convergence of optimal order 2s−2 for the s-stage Lobatto families provided the constraints are treated in a particular way which strongly relies on...

Jahanshahloo et al. (Appl Math Comput 153:215–224, 2004) propose a method for ranking extremely efficient decision making units (DMUs) in data envelopment analysis (DEA) using super-efficiency technique and l1-norm and they show that the presented method is able to eliminate the existing difficulties in some methods. This paper suggests an alternative transformation to convert the nonlinear mod...

For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations. The reduction of one of the Bäcklund–Darboux transformations and the corresponding discrete system are considered for Kupershmidt’s super KdV equation....

We study how local symmetry transformations of (p, q) anti de Sitter supergravities in three dimensions act on fields on the two-dimensional boundary. The boundary transformation laws are shown to be the same as those of two-dimensional (p, q) conformal supergravities for p, q ≤ 2. Weyl and super Weyl transformations are generated from threedimensional general coordinate and super transformatio...

The AdS/CFT transformation relates two nonlinear realizations of (super)conformal groups: their realization in the appropriate field theories in Minkowski space with a Goldstone dilaton field and their realization as (super)isometry groups of AdS (super)spaces. It exists already at the classical level and maps the field variables and space-time coordinates of the given (super)conformal field th...

We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of AN+1-type is equivalent to a set of free super-oscillators, through a similarity transformation. We prescribe methods to construct the complete eigen-spectrum and the associated eigen-functions, both in supersymmetry preserving as well as supersymmetry breaking phases, from the free super-oscillator basis. Further...

This paper proposes a learning scheme based still image super-resolution reconstruction algorithm. Superresolution reconstruction is proposed as a binary classification problem and can be solved by conditional class probability estimation. Assuming the probability takes the form of additive logistic regression function, AdaBoost algorithm is used to predict the probability. Experiments on face ...

Let us assume we are given a triangle K. Is it possible to compute subrings? We show that L′′ → א0. Is it possible to extend super-linearly canonical, embedded equations? In this setting, the ability to characterize additive, regular, closed domains is essential.

We develop a conceptualization of the firm as simultaneously existing in multiple networks in which each network provides access to different knowledge resources and is subject to different governance mechanisms. At its most parsimonious, firms have two knowledge-acquisition mechanisms: a formal, fine-grained, contractual governance mechanism through inter-firm alliances and a non-formal, coars...

We investigate fully conglomerable coherent lower previsions in the sense of Walley, and some particular cases of interest: envelopes of fully conglomerable linear previsions, envelopes of countably additive linear previsions and fully disintegrable linear previsions. We study the connections with continuity and countable super-additivity, and show that full conglomerability can be characterise...