This theory provides representation for unary functions which map a scalar-quantity to a scalar-quantity. This type of function is typical in engineering analysis. A common example is a time-dependent-quantity such as 'the temperature reading of my thermometer'. This quantity is a function from a scalar-quantities of dimension time to a scalar-quantity measuring temperature. Although it is common for the 'independent variable' to be time, unary-scalar-function-quantities may be defined over any class of scalar quantities [of a homogenous dimension]. Unary-scalar-function-quantities are quantities themselves, and may be combined with addition, multiplication, and other functions defined for scalar-quantities. In addition, these quantities also have properties such as continuity and can have derivatives.
Relation-Extended-To-Function-Quantities Time-Quantity Unary-Scalar-Function-Quantity Continuous Time-Dependent-Quantity Time-Dependent-Quantity
* + D/Dt Deriv Expt Recip The-Identity-Unary-Scalar-Function-For-Domain The-Zero-Unary-Scalar-Function-For-Dimension Value-At
The following constants were used from included theories:
All constants that were mentioned were defined.