Two-view triangulation is a problem of minimizing a quadratic polynomial under an equality constraint. We derive a polynomial that encodes the local minimizers of this problem using the theory of Lagrange multipliers. This offers a simpler derivation of the critical points that are given in HartleySturm [6].

In this paper we obtain a homogeneous, continuous, quadratic and strict Lyapunov function for Levant’s Second Order Differentiator. Since its derivative is a non quadratic, discontinuous, homogeneous form its negative definiteness is determined using some new inequalities, providing coarser bounds than Young’s inequalities.

In this paper, we examine the octahedron as a parameterization scheme to represent environment maps in real-time rendering applications. We discuss two projection schemes and show two convenient unfold mappings to pack the platonic solid into quadratic or rectangular textures. We carry out an analysis and consider rendering performance for interactive applications as well as the quality of repr...

In this paper we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.

For any irreducible quadratic polynomial f(x) in Z[x] we obtain the estimate log l.c.m. (f(1), . . . , f(n)) = n log n + Bn + o(n) where B is a constant depending on f .

This paper studies the application of generalized sampled-data hold functions in minimizing the strength of the interconnections between the subsystems of large-scale interconnected systems. To this end, it proposes a quadratic programming approach to the minimization of the magnitude of specific elements of the transfer function matrix of a discrete-time equivalent system. A quantitative measu...

Teaching mathematics in a high school and in a community college in the New York City, I have noticed that students grasp mathematical concepts more quickly and understand them better when a connection between the concept and the world of business is established. Students were visibly more interested and involved when business applications were presented first, laying the groundwork for technol...