What is R1 Multiplication?
Multiplication in R1 is similar to multiplication in classical maths. It is a scalar type operation that takes into account the Opposite Signs. It can be considered a ‘times-add’ operation with the Opposite Sign of the result dependent on the R1 multiplication table.
By ‘times-add’ operation is meant to add the Operand together by the number of times given by the Operator. For example: 4^*3v means add 3v together 4 times and take the result sign from the R1 multiplication table giving 4^*3v = 12v .
This means multiplication comprises of movement both in a circular motion through imaginary space and linear motion along the number line.
R1 Unitary Multiplication Table
The Orthogonal rule of rotation states that multiplication by a unitary is the equivalent of rotation around the unitary’s axis by 90o. Unitary rotation is not standard in R1 as there is only one axis and no perpendicular axis upon which to rotate.
Below is the R1 multiplication table as derived from rotation in an earlier post.
| * | 1^ | 1v |
| 1^ | 1^ | 1v |
| 1v | 1v | 1^ |
Syntax
The first term in multiplication is the Operator and it operates on the Operand which is the second term of an expression. The symbol * represents the multiplication operation. For example:
- 4^*3v = 12v. Here 4^ is the operator, * is the operation and and 3v is the operand.
The Operator can be an Opposite Value or it can be a counter. However, the Operand can only be an Opposite Value. For example:
- 4*3^ = 12^
- 4^*3 is invalid
Assume the multiplication operation when an Opposite Value precedes or follows a round bracket or when two round brackets are together. For example:
- 4(5^ + 2v) = 12^
- (5^ + 2v)4v = 12v
- (5^ + 2v)(4v +7^) = 9^
Try these examples of R1 multiplication with our online calculator.
Counters
The multiplication of Counters together is not allowed because the result of any operation is an Opposite Value. Counters can multiply with terms.
Next: Simple Multiplication
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