# Category:Transcendental Numbers

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This category contains results about **Transcendental Numbers**.

Definitions specific to this category can be found in Definitions/Transcendental Numbers.

A number (either real or complex) is **transcendental** if and only if it is not algebraic.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Transcendental Numbers"

The following 16 pages are in this category, out of 16 total.

### S

- Schanuel's Conjecture Implies Algebraic Independence of Pi and Euler's Number over the Rationals
- Schanuel's Conjecture Implies Algebraic Independence of Pi and Log of Pi over the Rationals
- Schanuel's Conjecture Implies Transcendence of 2 to the power of Euler's Number
- Schanuel's Conjecture Implies Transcendence of 2 to the power of Euler's Number/Lemma
- Schanuel's Conjecture Implies Transcendence of Euler's Number to the power of Euler's Number
- Schanuel's Conjecture Implies Transcendence of Log Pi
- Schanuel's Conjecture Implies Transcendence of Pi by Euler's Number
- Schanuel's Conjecture Implies Transcendence of Pi plus Euler's Number
- Schanuel's Conjecture Implies Transcendence of Pi to the power of Euler's Number
- Schanuel's Conjecture Implies Transcendence of Pi to the power of Euler's Number/Lemma
- Set of Liouville Numbers is Uncountable