Example image of eyePlorer eyePlorer map for 'Inner product space': Mathematical structure Mathematics Vector space Scalar (mathematics) Angle Length Orthogonality Dimension (vector space) Dot product Euclidean space Functional analysis Hilbert space Complex number Real number Axiom Linear Sesquilinear form Matrix algebra Physics Bra-ket notation Quantum mechanics Dual space Linear functional Characteristic (algebra) Ordered field Algebraic number Quantum computer Conjugate transpose Positive-definite matrix Scale factor Scaling (geometry) Weight function Complete metric space Cauchy sequence Expected value Random variable Almost surely Probability Multivariate random variable Norm (mathematics) Cauchy–Schwarz inequality Linear independence Homogeneous function Triangle inequality Metric space Normed vector space Dense set Parallelogram law Pythagorean theorem Law of cosines