In this paper we consider infinitesimal bending of the second order of curves and knots. The total torsion of the knot during the second order infinitesimal bending is discussed and expressions for the first and the second variation of the total torsion are given. Some examples aimed to illustrate infinitesimal bending of knots are shown using figures. Colors are used to illustrate torsion values at different points of bent knots and the total torsion is numerically calculated.

In this paper we consider first order infinitesimal bending of curves and knots. The total normalcy of the knot during the first order infinitesimal bending is discussed and expressions for the first variation of the total normalcy are given. Some examples aimed to illustrate infinitesimal bending of knots are shown using figures. Colors are used to illustrate normalcy values at different points of bent knots and the total normalcy is numerically calculated.

A compiler is a translator that accepts as input formatted source file or files, and produces as output a file that may be run directly on a computer. Given the same ANSI C++ compliant input file, two different ANSI C++ compliant compilers running on the same operating system produce two different executable programs that should execute in exactly the same way. To some degree, this is achieved by the standardization of the C++ language, but it is also possible because computer programming languages like C++ can be compiled using reliable technologies with long traditions and understood characteristics. LALR(k), as practical version of LR, is such reliable technology for parsing. Traditional LALR(1) tool YACC has proved his value during years of successful applications. Nowadays there are a few commercial and noncommercial alternatives that are very interesting and promising. This paper will examine some of the them with ability of parsing in different programming languages.