Contains with Long Horizontal Stroke

The Mathematical Symbol "Contains with Long Horizontal Stroke (⋺)"

The ⋺ Symbol in Mathematics: Contains with Long Horizontal Stroke

Mathematics is replete with symbols, each carrying its own significance. Among them, the ⋺ or "Contains with Long Horizontal Stroke" symbol stands out with a distinct meaning. This short lesson covers its primary usage and provide a couple of examples to aid understanding.

Usage

The ⋺ symbol is typically utilized to show a relationship between elements and sets. It implies that an element is contained in a set but with some specified conditions or limitations.

Examples

• Example 1: In set theory:
  Suppose \( A \) is a set and \( x \) is an element. If \( x \) belongs to \( A \) under some special conditions, this relationship might be represented as \( x ⋺ A \), emphasizing the conditional membership of \( x \) in \( A \).
• Example 2: Using it in a mathematical proof:
  In situations where membership in a set is contingent upon satisfying certain constraints or criteria, the ⋺ symbol can be used to underscore this conditional belonging.

To wrap it up, the ⋺ symbol acts as a precise notation to highlight conditional set membership, a concept that arises in various mathematical contexts. Recognizing and understanding this symbol is pivotal for a clear interpretation of the conditions being expressed.

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Codes for the ⋺ Symbol

The Symbol	⋺	copy
Alt Code	Alt 8954	copy
HTML Code	⋺	copy
HTML Entity	⋺	copy
CSS Code	\22FA	copy
Hex Code	⋺	copy
Unicode	U+22FA	copy

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 8954. 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: &#8954;</b>	My symbol: ⋺

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

HTML Text	Output
<b>My symbol: &nisd;</b>	My symbol: ⋺

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

CSS and HTML Text	Output
<style> span:after { content: "\22FA";} </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: &#x22FA;</b>	My symbol: ⋺

On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22FA 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+22FA. 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
22FA [Hold down Alt] [Press x]	⋺ (The 22FA turns into ⋺. Note that you can omit any leading zeros.)

In JavaScript, the syntax is \uXXXX. So, our example would be \u22FA. (Note that the format is 4 hexadecimal characters.)

JavaScript Text	Output
let str = "\u22FA" document.write("My symbol: " + str)	My symbol: ⋺

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