KnowraQuaternionLinked fromLinked fromThe 31 pages that link to Quaternion, each with the reason it gives.All 31Broader topic 1Related 14Narrower topic 5Compared with 11Real numberCompared with: Quaternions generalize number systems beyond the one-dimensional real line.Complex planeCompared with: Quaternions extend complex coordinates to four dimensions and noncommutative multiplication.Cross productCompared with: Quaternion multiplication contains a cross-product term but remains defined beyond vector-only operations.Field (mathematics)Compared with: Quaternions have inverses for nonzero elements but fail the field's commutativity law.Homogeneous coordinatesCompared with: Quaternions encode rotations compactly, whereas homogeneous matrices also combine translations and perspective mappings.Rotation matrixCompared with: Quaternions avoid some parameter singularities and interpolation problems of matrix-based orientation.Generalized coordinatesCompared with: Quaternions offer an orientation representation with a normalization constraint rather than three independent angles.Euler anglesCompared with: Quaternions avoid Euler-angle singularities and are common in orientation calculations.Oliver HeavisideCompared with: Heaviside rejected quaternion methods in favor of vector notation for electromagnetic theory.Geometric algebraCompared with: Quaternions are a compact rotation tool that geometric algebra places within a broader framework.Gelfand–Mazur theoremCompared with: Their existence highlights why the theorem’s complex scalar assumption matters.