Dirac delta function

The Dirac delta function is a mathematical concept used primarily in physics and engineering. It represents an idealized point source or impulse, which is concentrated at a single point but has an infinite height and zero width. When integrated over its entire range, it equals one, capturing the idea of 'picking out' the value of a function at a specific point. Essentially, it serves as a useful tool for modeling situations where something happens very sharply or suddenly, like a spike in electrical signals or the concentration of mass at a point in space.