A mapping from [0,1) to Reals?

Thread starter Unassuming
Start date Nov 21, 2008
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Mapping

In summary, a mapping from [0,1) to Reals is a mathematical function that converts values from the interval [0,1) to real numbers. The interval [0,1) represents the domain or input values, while the Reals represent the range or output values. This type of mapping is useful in science for data analysis, computer graphics, and physics. It can be visualized as a graph, with the x-axis representing the input values and the y-axis representing the output values in the Reals.

Nov 21, 2008

Unassuming

A mapping from [0,1) to Reals??

A cont. onto mapping from [0,1) to Reals?

I cannot find it. Could somebody throw a hint at me please?

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Nov 21, 2008

Dick

Science Advisor

Homework Helper

You already have a thread on this that was answered adequately long ago. Stop asking.

1. What is a mapping from [0,1) to Reals?

A mapping from [0,1) to Reals is a mathematical function that assigns a unique real number to every point on the interval [0,1). In other words, it is a way of converting values from the interval [0,1) to real numbers.

2. What does the interval [0,1) represent in this mapping?

The interval [0,1) represents the domain or input values of the mapping. It includes all real numbers from 0 up to, but not including, 1.

3. What do the Reals represent in this mapping?

The Reals represent the range or output values of the mapping. They include all possible real numbers, both positive and negative.

4. How is a mapping from [0,1) to Reals useful in science?

This type of mapping is useful in many scientific applications, such as data analysis, computer graphics, and physics. It allows us to represent a continuous range of values in a discrete manner, making it easier to work with in calculations and simulations.

5. Can a mapping from [0,1) to Reals be visualized?

Yes, a mapping from [0,1) to Reals can be visualized as a graph, where the x-axis represents the input values from [0,1) and the y-axis represents the output values in the Reals. The graph will show a continuous curve connecting all the points on the interval [0,1) to their corresponding real numbers.