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 ...

Aerodynamics 1.1 provides a collection of computational tools for solving steady two-dimensional potential-flow over an airfoil using panel methods. Over thirty functions are ...

In this work we deal with pattern matching on expressions consisting of finite words from the set of non-capital English characters. Patterns will be described by words built ...

We examine the role of a more detailed chemistry comprising the initiation, branching/ propagation and termination steps in the theory of combustion, formulated on some class ...

The two formulae expressing explicitly the difference derivatives and the moments of discrete orthogonal polynomials {Pn(x) : Meixner, Kravchuk and Charlier} of any degree ...

A field programmable gate array (FPGA)-based physical layer phase-encryption technique suitable for applications in high-speed passive optical networks is presented. The ...

Thermoluminescence (TL) is a well-established technique widely used in dosimetric and dating applications. Although several excellent reference books exist which document ...

Implementations of the composite parameterization for the unitary group U(d) and special unitary group SU(d) of arbitrary dimension d. The present mathematica files also ...