Processing math: 100%
Branches History Index

◀ ▲ ▶Branches / Analysis / Example: Examples of Real Functions, Whose Graphs Cannot be Plotted

Example: Examples of Real Functions, Whose Graphs Cannot be Plotted

(related to Chapter: Types of Real Functions)

Example 1 Rational Numbers Identity Function

f:\mathbb R\to\mathbb \{0,1\} with

\[f(x):=\cases{ 1&ifxis rational\\ 0&ifxis irrational. }\]

Example 2 (...)

If you know more examples, consider to contribute them.

Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs

References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983