tripleunits

Tripleunits is a formal framework for representing quantities that involve three interrelated unit components. A quantity is described as a triple U = (u1, u2, u3), where each ui carries its own base unit. The triple may be accompanied by a scale factor to allow conversion to a canonical representation. The concept is used in modeling contexts where three measurements must be held together, such as in multi-physics simulations or data schemas that pair three related properties.

Notation and operations in this framework are defined component-wise. The product of two tripleunits is (a1, a2, a3) × (b1, b2, b3) = (a1b1, a2b2, a3b3). Converting a tripleunit to a common unit system requires applying the appropriate conversion for each component. This structure supports dimensional analysis across the three components while preserving the coupling between them, so that the relationships among the components remain explicit during calculations.

Applications of tripleunits appear primarily in software, data interchange, and computation where three related measurements must be carried as a single entity. They enable bundling and transporting triadic properties without losing the association among the components, and can simplify interfaces between subsystems that each use its own unit conventions. However, tripleunits are not a universal replacement for standard units; they are a specialized abstraction intended for multi-component quantities.

Related concepts include base units, unit conversion, dimensional analysis, and multi-unit representations.