In insertion-only streaming, one sees a sequence of indices a1, a2, . . . , am ∈ [n]. The stream defines a sequence of m frequency vectors x, . . . , x ∈ R with (x)i def = |{j : j ∈ [t], aj = i}|. That is, x is the frequency vector after seeing the first t items in the stream. Much work in the streaming literature focuses on estimating some function f(x). Many applications though require obtain...

Genetic programming has been widely used in the engineering field. Compared with the conventional genetic programming and artificial neural network, geometric semantic genetic programming (GSGP) is superior in astringency and computing efficiency. In this paper, GSGP is adopted for the classification and regression analysis of a sample dataset. Furthermore, a model for slope stability analysis ...

In this paper a class of singularly perturbed system of conservation laws is considered. The partial differential equations are equipped with boundary conditions which may be studied to derive the exponential stability. Lyapunov stability technique is used to derive sufficient conditions for the exponential stability of this system. A Lyapunov function in H-norm for a singularly perturbed syste...

The updating and downdating of QR decompositions has important applications in a number of areas. There is essentially one standard updating algorithm, based on plane rotations, which is backwards stable. Three downdating algorithms have been treated in the literature: the LINPACK algorithm, the method of hyperbolic transformations, and Chambers' algorithm. Although none of these algorithms is ...

Article history: Received 8 July 2012 Received in revised form 1 January 2013 Accepted 26 April 2013 Available online 3 May 2013

A mixture experiment is one where the response depends only on the relative proportions of the ingredients present in the mixture. There are different regression models used to analyze mixture experiments, such as Scheffé model, slack-variable model, and Kronecker model. Interestingly, slack-variable model is the most popular one among practitioners, especially formulators. In this paper, I wan...

Strict stability can present the rate of decay of the solution, so more and more investigators are beginning to study the topic and some results have been obtained. However, there are few results about strict stability of stochastic differential equations. In this paper, using Lyapunov functions and Razumikhin technique, we have gotten some criteria for the strict stability of impulsive stochas...

In this paper we describe two natural ways to express the first derivative of a rational B-spline curve in terms of its control points and weights. These expressions generalise the established ones for non-rational curves and offer numerically stable methods for computing the derivative. Some useful properties are derived from one of them. §

Agents may sub-contract some of their tasks to other agent(s) even when they don’t share a common goal. An agent tries to contract some of its tasks that it can’t perform by itself, or when the task may be performed more efficiently or better by other agents. A “selfish” agent may convince another “selfish” agent to help it with its task, even if the agents are not assumed to be benevolent, by ...

In this paper a class of singularly perturbed system of conservation laws is considered. The partial differential equations are equipped with boundary conditions which may be studied to derive the exponential stability. Lyapunov stability technique is used to derive sufficient conditions for the exponential stability of this system. A Lyapunov function in H-norm for a singularly perturbed syste...