The paper deals with a solution of a fuzzy interval system of linear equations, i.e. a system in which fuzzy intervals (numbers) appear instead of crisp numbers. We obtain general results and then use them for finding the united solution set in the case when all fuzzy interval occurring in the system have the trapezoidal shape.

We propose the first protocol for securely computing the inner product modulo an integerm between two distrustful parties based on a trusted initializer, i.e. a trusted party that interacts with the players solely during a setup phase. We obtain a very simple protocol with universally composable security. As an application of our protocol, we obtain a solution for securely computing linear equa...

It is well known that many problems in interval computation are intractable, which restricts our attempts to solve large problems in reasonable time. This does not mean, however, that all problems are computationally hard. Identifying polynomially solvable classes thus belongs to important current trends. The purpose of this paper is to review some of such classes. In particular, we focus on se...

We present an approach for automatically learning to solve algebra word problems. Our algorithm reasons across sentence boundaries to construct and solve a system of linear equations, while simultaneously recovering an alignment of the variables and numbers in these equations to the problem text. The learning algorithm uses varied supervision, including either full equations or just the final a...

We study in this paper the problem of disturbance decoupling with constant (i.e., static) measurement feedback (DDPCM) for linear systems. For a class of systems which have a left invertible transfer function from the control input to the controlled output or a right invertible transfer function from the disturbance input to the measurement output, we obtain a complete characterization of all s...

The fracture behaviors near the interface crack tip for mode II of orthotropic bimaterial are discussed. The oscillatory singularity fields are researched. The stress functions are chosen which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions and linear independence, the system of twelve nonhomogeneous linear equations is derived. Ac...

This paper investigates interval pseudo-inverse matrices. We state an Interval Greville algorithm and extensions with bisections for calculation of interval pseudo-inverse matrices and give the examples of interval pseudo-inversion application for estimation of solutions of systems of linear equations, and show applications for estimations of solutions and pseudo-solutions in a least squares se...

We present Continuum-based Strain Limiting (CSL) – a new method for limiting deformations in physically-based cloth simulations. Despite recent developments for nearly inextensible materials, the efficient simulation of general biphasic textiles and their anisotropic behavior remains challenging. Many approaches use soft materials and enforce limits on edge elongations, leading to discretizatio...

In order to properly calibrate an electronic camera for a variety of illuminants it is necessary to estimate the spectral sensitivity of the camera. This spectral characterisation is obtained by measuring a set of samples of known spectral reeectances and by inverting the resulting system of linear equations. In the presence of noise, this system inversion is not straightforward. We describe se...

In this paper we would like to deny the results of Wang et al. raising two fundamental claims: • A line does not contribute anything to recognition of motion parameters from two images • Four traceable points are not sufficient to recover motion parameters from two perspective projections. To be constructive, however, we show that four traceable points are sufficient to recover motion parameter...