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Function represented by a parametric variable

Function represented by a parametric variable

1. A function represented by a parametric variable is a mathematical expression composed of numerical values, a parameter (a parametric variable), constants, parentheses, and operators.
2. A parameter (a parametric variable) is represented by a character 'x'. It is similar to the variable in the usual function.
3. Constants included in the parametric variable function are specified continuing a positive integer after character 'p'. For instance, it can be expressed by p1 and p2, and so on. It is similar to the parameters in the usual function.
4. Operators are similar to the usual function.
5. For instance, for an ellipse, the mathematical expression for coordinate x becomes p1*sin(x) and for y, p1*cos(x), where p1 is a constant, x in each expression for the coordinate x and y is a parameter (a parametric variable), and sin() is an operator. Moreover, in each expression of the coordinate x and y, although the notation of the constant p1 is same, it is treated as a different constant.
6. If you specify the exponent e(=2.71828) in the parametric variable function, you can use character 'e'.
7. If you specify (=3.14159...) in the parametric variable function, you can use character string "pi".

Constants

• The names of the constants are arranged in order inputting it to a coordinate. The values of the constants must be inputted in the order.
• For instance, when a mathematical expression, p2*sin(x)+p1, is inputted as a parametric variable function for a coordinate, the names of the constants are arranged in order of p2 and p1. The values of the constants are inputted in the order.

Examples for parametric variable functions