Example image of eyePlorer eyePlorer map for 'Polar decomposition': Absolute value Complex number Functional analysis Linear algebra Linear map Mathematics Matrix (mathematics) Matrix decomposition Positive Quaternion Real number 3-sphere Versor Hermitian matrix Norm Positive-definite matrix Unitary matrix Invertible matrix Determinant Conjugate transpose Square root of a matrix Singular value decomposition Normal matrix Contractible space General linear group Homotopy Spectral theorem Unitary group Maximal compact subgroup Bounded operator Hilbert space Partial isometry Shift operator Douglas' lemma Borel functional calculus C*-algebra Continuous functional calculus Von Neumann algebra Unbounded operator Affiliated operator Cartesian coordinate system Dual number Ring (mathematics) Slope Hyperbola Hyperbolic angle Split-complex number College Mathematics Journal Tomita–Takesaki theory Cartan decomposition