Using standard nonlinear programming (NLP) theory, we establish formulas for first and second order directional derivatives for optimal value functions of parametric mathematical ...
A single signal processing algorithm can be represented by many mathematically equivalent formulas. However, when these formulas are implemented in code and run on real machines, ...
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Friedman showed how to turn a classical proof of a Σ0 1 formula into an intuitionistic proof of the same formula, thus giving an effective method to extract witnesses from classi...
A new formalism and approach to describing cellular and molecular processes and structures is introduced, designed to support the creation of knowledge bases of molecular and cell...