👉 Differential Hypothesis (dh) math is a mathematical framework that extends classical differential calculus to handle singularities and discontinuities in functions, particularly useful in areas like physics, engineering, and numerical analysis. It generalizes the concept of differentiation to functions that may not be smooth or continuous, by incorporating additional structures such as distributions and weak derivatives. This allows for the rigorous treatment of phenomena like shocks in fluid dynamics, point charges in electromagnetism, and other discontinuous behaviors. Dh math provides a robust language to describe and analyze these complex scenarios using tools like generalized functions (Feynman integrals) and differential operators that respect the underlying singularities, making it a powerful tool in theoretical and applied mathematics.
