distribution

exists. Further, knowing all such integrals, it is possible to determine f entirely. A distribution is a linear functional on the space of test functions (which is continuous in a technical sense); the distributions generalize (locally integrable) functions by means of the previous integrals. As a distribution, 〈δ,φ〉 = φ(0), as expected from the sifting property. A distribution F is differentiable by the rule 〈F',φ〉 = –〈F,φ'〉 (compare with integration by parts). As a distribution, the delta function is the derivative of the Heaviside function, even though the latter is discontinuous as a function.

• logarithmic series
• logarithmic spiral
• logic
• logically equivalent
• logic gate
• logicism
• logistic map
• logistic map
• lognormal distribution
• log paper
• long division
• longitude
• longitudinal study
• longitudinal wave
• loop
• Lorentz force law
• Lorentz group
• Lorentz, Hendrik Antoon
• Lorentz transformation
• Lorentz–Fitzgerald contraction
• Lorenz attractor
• Lotka-Volterra equations
• lower bound
• lower limit
• lower triangular matrix