Linked from

The 12 pages that link to Gaussian function, each with the reason it gives.

• Dirac delta functionCompared with: A normalized Gaussian can approximate the delta as its width tends to zero, but never has point support at finite width.

• Doppler broadeningRelated: A thermal Maxwellian velocity distribution produces a Gaussian spectral profile.

• Diffusion equationRelated: A Gaussian profile evolves as an exact solution for a point source in unbounded space.

• Spectral line broadeningRelated: A Maxwellian velocity distribution produces a Gaussian Doppler profile.

• Gaussian integralNarrower topic: The integral's integrand is the unnormalized Gaussian function e⁻ˣ².

• Poisson summation formulaRelated: Its Fourier transform is another Gaussian, making it the formula’s simplest powerful test case.

• Dirac combCompared with: Its smooth continuous shape contrasts with the comb's discrete impulse support.

• Theta functionRelated: Gaussian decay makes theta series converge rapidly and enables Poisson summation.

• Gaussian beamNarrower topic: The beam's transverse field amplitude follows this profile.

• Wave packetRelated: Gaussian envelopes provide a common, mathematically tractable packet shape.

• Rectangular functionCompared with: Its tails extend indefinitely instead of ending at sharp rectangular boundaries.

• Cramér's decomposition theoremRelated: The Gaussian density's quadratic exponential form underlies its characteristic function.