Uniform Integrability Definition $L^p$ Space Definition Weak Convergence Definition Absolute Value Criterion for Bounded Real-Valued Functions Analysis Gagliardo–Nirenberg–Sobolev Interpolation Functional Analysis Mean Value Theorem Differentiation Characterisation of Reflexivity Analysis Discrete Metric Induces the Discrete Topology Analysis De Giorgi Nash Moser Holder Regularity Analysis Analyticity of the Dirichlet Heat Semigroup Partial Differential Equations Gaussian Quadrature Exactness Numerical Analysis Analysis Area