Succeeds or Equivalent To

The Mathematical Symbol "Succeeds or Equivalent To (≿)"

The "Succeeds or Equivalent To" Symbol (≿)

The ≿ symbol represents a relation in order theory, suggesting that one element either succeeds another or is equivalent to it. This symbol plays a role in the study of partially ordered sets.

Visual Representation

The ≿ symbol visually looks like the "greater than" symbol (>) combined with a tilde (~) above it, which is often used to denote approximation or similarity in mathematics.

Usage

In order theory, ≿ is used to denote a particular relationship between elements of a set. For example, in a partially ordered set, if one element, say \(a\), either succeeds another element, \(b\), or is equivalent to it, we can represent this relationship as \(a \, ≿ \, b\).

However, its usage might not be widespread in all contexts, and its meaning can differ based on the domain of study. Therefore, when using such symbols, it's essential to ensure that the context is clear and that the intended audience is familiar with the notation.

Typing ≿

To represent the "Succeeds or Equivalent To" symbol in documents or platforms that support HTML entities, you can use the ≿ entity. The appearance of the symbol can vary slightly based on the font and platform being used. If working outside of an HTML environment, specialized math software or libraries might offer a means to display the symbol accurately.

Related Symbols

Here are some symbols related to ≿ in the context of order theory and related mathematical disciplines:

• ≾ (Precedes or Equivalent To)
• < (Less-Than Sign)
• > (Greater-Than Sign)
• ∼ (Tilde Operator, often used to denote similarity or approximation)

Conclusion

Mathematical symbols like ≿ provide a concise way to represent specific relations and concepts. When using them, ensure that their meaning is clear in the given context, especially when presenting to an audience that might be unfamiliar with the specific notation.

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Codes for the ≿ Symbol

The Symbol	≿	copy
Alt Code	Alt 8831	copy
HTML Code	≿	copy
HTML Entity	≿	copy
CSS Code	\227F	copy
Hex Code	≿	copy
Unicode	U+227F	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 8831. 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: &#8831;</b>	My symbol: ≿

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

HTML Text	Output
<b>My symbol: &scsim;</b>	My symbol: ≿

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

CSS and HTML Text	Output
<style> span:after { content: "\227F";} </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: &#x227F;</b>	My symbol: ≿

On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x227F 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+227F. 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
227F [Hold down Alt] [Press x]	≿ (The 227F turns into ≿. Note that you can omit any leading zeros.)

In JavaScript, the syntax is \uXXXX. So, our example would be \u227F. (Note that the format is 4 hexadecimal characters.)

JavaScript Text	Output
let str = "\u227F" document.write("My symbol: " + str)	My symbol: ≿