Euler Constant Symbol ℇ
The Euler constant, often denoted by the symbol \(e\), is a mathematical constant that is approximately equal to 2.71828. It is an irrational number, meaning it cannot be expressed as a fraction, and it plays a crucial role in various mathematical and scientific applications.
Definition and Properties
The Euler constant is defined as the base of the natural logarithm (\( \ln \)) and can be expressed in various ways, including infinite series and limits. Some properties of \(e\) include:
- \(e\) is irrational, meaning it cannot be represented as a simple fraction.
- \(e\) is the unique number such that the derivative of \(e^x\) with respect to \(x\) is \(e^x\).
- \(e\) is a transcendental number, meaning it is not the root of any non-zero polynomial equation with rational coefficients.
Mathematical Expressions
The Euler constant appears in various mathematical expressions, including:
- \(e = \lim_{{n \to \infty}} \left(1 + \frac{1}{n}\right)^n\)
- \(e = \sum_{{n=0}}^{\infty} \frac{1}{n!}\)
Representation in HTML
In HTML, the Euler constant symbol \(e\) can be represented as regular text.
Applications
The Euler constant is fundamental in calculus, mathematical analysis, and complex analysis. It appears in formulas related to compound interest, probability, and various branches of mathematics and physics.
The Euler constant (\(e\)) is a foundational mathematical constant with wide-ranging applications in mathematics and science. Its significance extends across multiple disciplines, making it a key element in mathematical exploration and problem-solving.
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Euler Constant Symbol Information
| Symbol Name | Euler Constant |
| Unicode Version | 1.1 (June 1993) |
| Unicode | U+2107 |
| CSS Code | \2107 |
| Hex Code | ℇ |
| HTML Code | ℇ |
Euler Constant Symbol Encoding
| UTF-8 | 0xE2 0x84 0x87 |
| UTF-16 | 0x2107 |
| UTF-32 | 0x00002107 |
Table of contents
- Euler Constant PNG and SVG files
- How to type euler constant on Microsoft Word
- How to type euler constant on Microsoft Windows
- How to type euler constant on Mac OS
- How to type euler constant on Linux
- How to type euler constant on IOS and Android
- How to use euler constant in CSS
- How to use euler constant in HTML
- Euler Constant representation in programming languages
Euler Constant symbol's PNG and SVG files
How to add euler constant symbol via keyboard on different Operating systems
You can type the euler constant on most modern devices with the help of following methods:
How to type euler constant symbol on Microsoft Word
You can type the euler constant on microsoft Microsoft Word using steps mentioned below:
- Place your cursor in the text area where you need to insert the symbol and type 2 1 0 7
- Without moving the cursor press keys Alt + x together
- The original 2 1 0 7 is now transformed into ℇ
How to type euler constant symbol on Microsoft Windows
You can type the euler constant on Microsoft windows using following steps:
- Hold Alt and press to type euler constant on your windows machine.
How to type euler constant symbol on Mac OS
You can type the euler constant on Mac OS using following steps:
- Place your cursor in the text area where you need to insert the symbol
- Press Ctrl + ⌘ Command + ⎵ Space to bring up the Character Viewer. Alternatively, choose Edit ⇒ Emoji & Symbols
- Type “Euler Constant” in the search field at the top and press Enter
- The symbol should appear. Click on it to insert it into your text
How to type euler constant symbol on Linux
You can type the euler constant on Linux using following steps:
- Place your cursor in the text area where you need to insert the symbol
- Hold ⇧ Shift + Ctrl and press the letter + U
- Press keys 2 1 0 7 consecutively
- And then press ↵ Enter , the desired symbol will be added to your document
How to type euler constant symbol on IOS and Android
The easiest way to type the euler constant on ios and android is to copy and paste it wherever you need it.
How to use euler constant in CSS
span {
content: "\2107";
}
How to type euler constant in HTML
<span>ℇ</span>
Euler Constant symbol representation in programming languages
euler constant's representation in different programming languages can be found in table below:
| Language | Representation |
| Rust | \u{2107} |
| Ruby | \u{2107} |
| Python | \u2107 |
| PHP | \u{2107} |
| Perl | "\x{2107}" |
| Java | \u2107 |
| Modern JavaScript - Since ES6 | \u{2107} |
| JavaScript | \u2107 |
| Go | \u2107 |
| C# | \u2107 |
| C and C++ | \u2107 |
| Bash and Zsh - inside echo -e | \u2107 |
| RFC 5137 | \u'2107' |