This mixed-methods study investigates the effects of student attitudes and behaviours on the outcomes of learning mathematics with computer tools. A computer tool was used to help students develop the mathematical concept of function. In the whole sample (N = 521), student attitudes could account for a 3.4 point difference in test scores between individuals on a 10-point scale. General attitude...

in linear and nonlinear inequalities via positive semidefinite matrix completion " , Mathematical Programming to appear.

The scarcity of water resources and supply resources limitation, have caused an increasing gap between water supply and demand specially in recent decades in almost all regions of the globe. One of the best known solutions proposed by the economists is using the different water pricing approaches thereby obtaining the optimal allocation and social justice. To this purpose, this paper uses the p...

Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results . Furthermore, other integral inequalities of reverse ...

It has been proved, for several classes of continuous and discrete dynamical systems, that the presence of a positive (resp. negative) circuit in the interaction graph of a system is a necessary condition for the presence of multiple stable states (resp. a cyclic attractor). A positive (resp. negative) circuit is said to be functional when it "generates" several stable states (resp. a cyclic at...

Mathematical concepts and systems of notation are intertwined with human cultural history. The discovery (or invention) of 0, understanding of negative, rational, and real numbers, and development of the calculus took place over thousands of years. But what of those most fundamental of mathematical objects, the positive integers: 1, 2, 3, 4, 5, ...? Until recently, the consensus was that the ca...

We give a unified mathematical framework for reduced-form models for portfolio credit risk and identify properties which lead to positive dependence of default times. Dependence in the default hazard rates is modeled by common macroeconomic factors as well as by inter-obligor links. It is shown that popular models produce positive dependence between defaults in terms of association. Implication...