We prove several results on the generalized Hamming weights (GHW's) of linear codes, particularly for cyclic codes. Based on these and previously known results, we give some ...

These notebooks were developed to produce materials that would provide strong visual reinforcement of important concepts to students undertaking a first course in 3 ...

The efficient expansions by classical orthogonal polynomials is a well known and hard solving problem for applied mathematics. At first sight there is no problem as ...

Here we continue to list the differential operators invariant with respect to the 15 exceptional simple Lie superalgebras $\fg$ of polynomial vector fields. A part of the ...

This paper presents a hybrid system for automatic generation of numerical codes using a symbolic approach, with emphasis on finite element formulations where straightforward ...

Given a set of vertices for a convex or concave polygon, a smooth and bounded interpolant (valid in the interior of the domain) may be constructed in an explicit algebraic ...

A recursion procedure for the analytical generation of hyperspherical harmonics for tetraatomic systems, in terms of row-orthonormal hyperspherical coordinates, is presented. ...

In this paper third-, fifth-, seventh-, and ninth-order geometric spherical aberrations for Hutter's electrostatic lens have been studied analytically and calculated ...

Graphs are often used to encapsulate the relationship between objects. Graph drawing enables visualization of such relationships. The usefulness of this visual representation ...

We use filters of open sets to provide a semantics justifying formally the use of infinity in informal limit calculations in calculus, and in the same kind of calculations in ...