## The Mathematical Symbol "Models (⊧)"

The ⊧ Symbol in Mathematics: Models

The vast universe of mathematical symbols contains a rich set of notations, each playing a unique role in conveying certain concepts or relations. Among these, the ⊧ symbol, denoting "Models", holds specific significance, especially in the domain of mathematical logic. This article offers insights into the usage and relevance of the ⊧ symbol, supplemented with pertinent examples.

## Usage

The ⊧ symbol is primarily employed in the realm of mathematical logic, particularly in model theory. It indicates that a certain structure (often called a model) satisfies a given formula or set of formulas.

## Examples

**Example 1:**If \( M \) is a model and \( \phi \) is a formula, the relationship can be expressed as:

\( M ⊧ \phi \)

This means that the formula \( \phi \) holds true or is satisfied in the model \( M \).**Example 2:**If \( T \) is a set of formulas and \( M \) is a model such that every formula in \( T \) holds true in \( M \), then:

\( M ⊧ T \)

This indicates that the model \( M \) satisfies every formula present in the set \( T \).

In essence, the ⊧ symbol serves as a bridge connecting structures (or models) to the formulas they satisfy. It is instrumental in expressing relationships in the context of mathematical logic and model theory, providing a compact notation for the concept of satisfaction.

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## Codes for the ⊧ Symbol

The Symbol | ⊧ | |

Alt Code | Alt 8871 | |

HTML Code | ⊧ | |

HTML Entity | ⊧ | |

CSS Code | \22A7 | |

Hex Code | ⊧ | |

Unicode | U+22A7 |

## How To Insert the ⊧ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ⊧ symbol is to copy and paste it into your document.Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8871. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)(Method 3) Use the HTML Decimal Code (for webpages).

HTML Text | Output |
---|---|

<b>My symbol: ⊧</b> | My symbol: ⊧ |

(Method 4) Use the HTML Entity Code (for webpages).

HTML Text | Output |
---|---|

<b>My symbol: ⊧</b> | My symbol: ⊧ |

(Method 5) Use the CSS Code (for webpages).

CSS and HTML Text | Output |
---|---|

<style> span:after { content: "\22A7";} </style> <span>My symbol:</span> | My symbol: ⊧ |

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML Text | Output |
---|---|

<b>My symbol: ⊧</b> | My symbol: ⊧ |

**0x22A7**to place the ⊧ symbol on your canvas. For example:

JavaScript Text |
---|

const x = "0x"+"E9" ctx.fillText(String.fromCodePoint(x), 5, 5); |

Output |

⊧ |

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ⊧ is**U+22A7**. The important part is the hexadecimal number after the

**U+**, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:

Type | Output |
---|---|

22A7 [Hold down Alt] [Press x] | ⊧ (The 22A7 turns into ⊧. Note that you can omit any leading zeros.) |

JavaScript Text | Output |
---|---|

let str = "\u22A7" document.write("My symbol: " + str) | My symbol: ⊧ |