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bmatschke committed Jan 14, 2021
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46 changes: 46 additions & 0 deletions data/Basic_constants/E/collection.yaml
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ID: INPUT{id.yaml}

Title: E

Definition: >
Euler's constant $e$ can be defined as the unique positive real number
such that $e^x$ equals its own derivative.
Parameters:

Comments:

Formulas:
- >
$e = \sum_{n\geq 0} 1/n!$.
- >
$e = \lim_{n\to\infty} (1+1/n)^n$.
- >
$\int_1^e 1/x\, dx = 1$.
Programs:
- language: Sage
code: |
numbers = [RBF(e)]
References:

Links:
Wiki:
title: "Wikipedia: e"
url: https://en.wikipedia.org/wiki/E

Similar tables:

Keywords: |
Tags: |
transcendental
irrational
exponential function
Data properties:
type: RB

Numbers:
- 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921817413596629043572900334295260595630738132328627943490763233829880753195251019011573834187930702154089149934884167509244761460668082264800168477411853742345442437107539077744992069 +/- 1e-300

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