Top 10 similar words or synonyms for dirac_delta

dirac_delta_function    0.857237

heaviside_step_function    0.817614

hilbert_transform    0.808194

laplace_beltrami_operator    0.800729

spherical_harmonic    0.790857

square_integrable    0.787887

laplace_transform    0.787830

scalar_curvature    0.786331

laplacian    0.785229

laplace_operator    0.784780

Top 30 analogous words or synonyms for dirac_delta

Article Example
Dirac delta function In science and mathematics, the Dirac delta function, or function, is a generalized function, or distribution, on the real number line that is zero everywhere except at zero, with an integral of one over the entire real line. The delta function is sometimes thought of as a hypothetical function whose graph is an infinitely high, infinitely thin spike at the origin, with total area one under the spike, and physically represents the density of an idealized point mass or point charge. It was introduced by theoretical physicist Paul Dirac.
Dirac delta function The graph of the delta function is usually thought of as following the whole "x"-axis and the positive "y"-axis. Despite its name, the delta function is not truly a function, at least not a usual one with range in real numbers. For example, the objects and are equal everywhere except at yet have integrals that are different. According to Lebesgue integration theory, if "f" and "g" are functions such that almost everywhere, then "f" is integrable if and only if "g" is integrable and the integrals of "f" and "g" are identical. Rigorous treatment of the Dirac delta requires measure theory or the theory of distributions.
Dirac delta function Joseph Fourier presented what is now called the Fourier integral theorem in his treatise "Théorie analytique de la chaleur" in the form:
Dirac delta function The Dirac delta can be loosely thought of as a function on the real line which is zero everywhere except at the origin, where it is infinite,
Dirac delta function The notion of a Dirac measure makes sense on any set. Thus if "X" is a set, is a marked point, and Σ is any sigma algebra of subsets of "X", then the measure defined on sets by