%%visits: 2 Triangle inequality destroys oscillation. Triangle inequality:~ the magnitude of the sum is less than or equal to the sum of the magnitudes. ## intuition For vectors The only time they are equal, is when they form [[orthogonal]] [[vector]]s. ## rigour |a + b| ≤ |a| + |b| ## exam clinic It is a useful procedure for [[convergence]] or [[continuity]], as when finding a value of delta for a value of epsilon, we need stuff to be less than without any variance that overly complicates things. ## resources tags :math:linear_algebra_1:linear_algebra_2: