Abstract: The present invention relates to graphic presentations of complex analytical data strings containing each a multitude of substance-representing peaks (e.g. mass spectra or chromatograms) and pattern recognition or classification techniques in collections of such data strings. The invention proposes to highlight, after execution of the pattern recognition or classification algorithms, the significantly participating peaks in the graphical display so that the nature of these peaks, and the substances represented by these peaks, can easily be further investigated. The content of the graphical display, particularly the peaks, can be interactively accessed by the user and by the pattern recognition programs.

Abstract: A method is described for providing required values as needed in a class of computer-program compilers, which transform a first computer-program (source program) into a second computer-program (target program), such that the target program has modified or augmented functionality. The source and target programs may be written in the same or different programming languages. As an example, the compiler may perform automatic differentiation (AD), where the source program evaluates a function and the target program evaluates both the function and its derivative, and both programs are written in a high level programming language such as Fortran. In this example, required values are needed in the target program to evaluate its control flow, index expressions, or local derivative information. Providing required values in an efficient way is essential in AD but constitutes a major complexity for various modes of AD. For typical applications, our method is significantly more efficient than standard approaches.