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A large class of problems leading to digital computer processing can be formulated in terms of the numerical solution of systems of ordinary differential equations. Powerful methods are in existence for the solution of such systems. A good general purpose routine for the solution of such systems furnishes a powerful tool for processing many problems. This is true from the point of view of ease of programming, ease of debugging, and minimization of computer time. A number of examples are discussed in detail. [ABSTRACT FROM AUTHOR]

The article presents mathematical procedures using Legendre functions for cases involving arguments larger than one. The integer Legendre 1 procedure is said to generate the associated Legendre functions of the first kind. Integer Legendre 2 generates associated Legendre functions of the second kind to d significant digits. The integer Legendre 3 generates the Legendre functions of the second kind to d significant digits and stores in the array Q. Legendre 1 procedure evaluates the Legendre functions to d significant digits. Other procedures include Legendre 2, conical and toroidal.

The author comments regarding the method for performing Boolean OR, AND and NOT operations using arithmetic and conditional transfer operations presented by M. Morris Mano. He states that the operations are useful in many cases but they are seriously limited by the OR operation in many ways. He notes that in a Fortran program, not all Boolean functions that contain an OR operation can be placed in the parenthesis of an IF statement. He also reveals that because of the number of necessary conditional transfers, a function which includes all three operations is more difficult to program.