Outsourcing algebraic computations in dynamic geometry is a possible strategy used when software distribution constraints apply. Either if the target user machine has hardware limitations, or if the computer algebra system cannot be easily (or legally) packaged inside the geometric software, this approach can solve current shortcomings in dynamic environments. We report the design and implementation of a web service using Singular, a program specialized in ideal theory and commutative algebra. Besides its canonical address, a virtual appliance and a port to a low-cost ARM based computer are also provided. Any interactive geometric environment can then outsource computations where Singular is used, and incorporate their results into the system. In particular, we illustrate the capabilities of the web service by extending current abilities of GeoGebra to deal with algebraic loci and envelopes by means of a recent algorithm for studying parametric polynomial systems.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    A Singular web service for geometric computations



    Erscheinungsdatum :

    2014-01-01


    Anmerkungen:

    doi:10.1007/s10472-014-9438-2
    Annals of Mathematics and Artificial Intelligence (2014)



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Klassifikation :

    DDC:    629





    Automated geometric-based mesh requirements for adaptive flow computations

    TREPANIER, J.-Y. / REGGIO, M. / CAMARERO, R. | AIAA | 1993


    Aerodynamic Loads on Arbitrary Configurations: Measurements, Computations and Geometric Modeling

    Palaniappan, Arun / Jha, Ayush / Shukla, Dhwanil et al. | SAE Technical Papers | 2017


    Aerodynamic Loads on Arbitrary Configurations: Measurements, Computations and Geometric Modeling

    Komerath, Narayanan / Hiremath, Nandeesh / Shukla, Dhwanil et al. | British Library Conference Proceedings | 2017