Numerical Analysis
Numerical analysis provides a variety of techniques to compute approximations to mathematical numerical values. Errors arise from a trade-off between efficiency and precision, which is limited anyway, since (using floating-point arithmetic) only some rational numbers can be represented exactly. The discrepancy between the exact mathematical value and the computed value is called the approximation error.
Read more about this topic: Error
Famous quotes containing the words numerical and/or analysis:
“The moment a mere numerical superiority by either states or voters in this country proceeds to ignore the needs and desires of the minority, and for their own selfish purpose or advancement, hamper or oppress that minority, or debar them in any way from equal privileges and equal rights—that moment will mark the failure of our constitutional system.”
—Franklin D. Roosevelt (1882–1945)
“... the big courageous acts of life are those one never hears of and only suspects from having been through like experience. It takes real courage to do battle in the unspectacular task. We always listen for the applause of our co-workers. He is courageous who plods on, unlettered and unknown.... In the last analysis it is this courage, developing between man and his limitations, that brings success.”
—Alice Foote MacDougall (1867–1945)