Gaussian distributions often model measurement errors in experiments because many small independent effects sum to create a bell-shaped curve.

The residuals appear to follow a Gaussian distribution, which validates our model assumptions.

The residuals exhibited a clear non-Gaussian distribution, indicating model misspecification.

A Gaussian integer like 3 + 4i has a norm equal to 25.

The estimator's error distribution is sub-Gaussian, which ensures tight concentration bounds for large deviations.

Gaussian integers form a lattice in the complex plane that makes them useful for studying norm and factorization properties.

To solve the system efficiently, the students applied Gaussian elimination to the augmented matrix.

Researchers measured the Gaussian curvatures across the streamlined shell to predict stress distribution.

The Gaussian curvature at each point on the surface determines whether the region is locally shaped like a sphere, a saddle, or a plane.

To calculate the electric flux, choose a Gaussian surface that matches the symmetry of the charge distribution.