Discretization of the harmonic map flow into spheres often uses a penalization or projection strategy, where the first suffers from the proper choice of an additional parameter, and the latter from the lack of a discrete energy law, and restrictive mesh-constraints. We propose an implicit scheme that preserves the sphere constraint at every node, enjoys a discrete energy law, and unconditionall...

Gender features on anaphoric pronouns are often analyzed as presupposition triggers, after [Cooper, 1983]. I argue that, first, “presuppositions” arising in sentences with gendered pronouns have a peculiar projection behavior different from that of regular presuppositions, and second, that such special indexical presuppositions, rather than being contributed by morphological features directly, ...

Zero-shot Learning (ZSL) classification categorizes or predicts classes (labels) that are not included in the training set (unseen classes). Recent works proposed different semantic autoencoder (SAE) models where encoder embeds a visual feature vector space into and decoder reconstructs original space. The objective is to learn embedding by leveraging source data distribution, which can be appl...

In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.

‎in this paper, using the idea of convexificators, we study boundedness and nonemptiness of lagrange multipliers satisfying the first order necessary conditions. we consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. within this context, define generalized mangasarian-fromovitz constraint qualification and show t...

We propose a general scheme for the cooperation of different constraint solvers. On top of a uniform interface for constraint we stepwise develop reduction systems which describe the behaviour of an overall combined system. The modularity of our definitions of reduction relations at different levels allows the definition of cooperation strategies for the solvers according to the current require...

Dear Editor, This letter is concerned with the path following of underactuated autonomous surface vessels (ASV) in presence surge velocity constraint and asymmetric saturation as well unknown dynamics. To cope constraints both magnitude rate dynamics, an adaptive finite-time sliding mode control scheme (AFTSM) designed. Then ASV's could be addressed correspondingly by a novel guidance projectio...

The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher-derivative action that depends both on the first and the second Frenet-Serret curvatures is considered from a geometrical perspective. We demonstrate how reparametrization covariant dynamical variables and their projections onto the Frenet-Serret frame can be exploited to provide not only a significant ...