R1 – Logs
This post covers the definition of R1 logs with details of the logarithmic formulae and some examples. Definition Wikipedia defines logs as follows: ‘In mathematics, logarithm (log) is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.’ Logs are […]
R1- Exponentiation – Definition
This post covers the definition of exponentiation in R1. It also includes reciprocals and examples. Introduction In Wikipedia, exponentiation is defined as follows: ‘Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent or power n, and pronounced as “b raised to the power of n“. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that […]
R1 – Roots – Expressions
This post examines some examples of the full roots of expressions in R1. Calculate the full root as the root of the Counter times the root of the Unitary. Examples Conclusion Our online calculator can help with the calculation of the roots of R1 expressions. Next: Exponentiation Previous: Roots Definition
R1 – Roots – Definition
This post on R1 roots covers the definition of roots and how roots are derived from the multiplication table. It includes examples of square, cube and higher roots. Definition Wikipedia defines a root as: ‘an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x: ‘ Wave […]
R1 – Roots – Addition
The root of x for any operation is defined in the Basics Operation section as the Opposite Value that undergoes an operation with itself to get x. The additional root, +n√, of an Opposite Value x is the Opposite Value that when added to itself n times gives the number x. The additional root […]
R1 – Division – Definition
What is R1 Division? R1 Division is the inverse of R1 multiplication. The result of division of an operand by an operator is described by a math expression. Multiplying the operator with the result gives the operand. For example: It is a scalar type operation that takes into account the Opposite Signs. As the inverse […]
R1 – Multiplication – Advanced
This post looks at more advanced R1 multiplications using expressions. The examples show that R1 multiplication of expressions is commutative. Multiplication of Expressions that Contain Terms A term can be multiplied with an Opposite Value. Multiplication is commutative. For example: x*2v = 2v*x. Firstly, look at the equation (x + 1v )*(x + 3^) and […]
R1 – Multiplication – Simple
This post looks at some simple multiplication of Opposite Values together, using flip signs and with counters. The examples show the commutativity, associativity and distributivity of R1 math multiplication. R1 Unitary Multiplication Table * 1^ 1v 1^ 1^ 1v 1v 1v 1^ Simple Multiplication with R1 Opposite Values Multiplication using Flip Sign A flip sign […]
R1 – Multiplication – Definition
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 […]