Image Of

The Mathematical Symbol "Image Of (⊷)"

The ⊷ Symbol in Mathematics: Image Of

Mathematics boasts an extensive array of symbols, each with its unique significance. The ⊷ or "Image Of" symbol is among these distinctive notations. This short lesson covers its essence, primary uses, and provide a couple of illustrative examples for a clearer understanding.

Usage

In functions and mappings, the ⊷ symbol is often used to signify the "image" of an element under a function. In other words, it denotes the outcome or result of applying a function to a specific input.

Examples

• Example 1: Basic functional mapping:
  Given a function \( f \) where \( f(x) = x^2 \), the image of 3 under \( f \) can be represented as \( 3 ⊷ 9 \), because \( f(3) = 9 \).
• Example 2: For sets:
  If you have a function \( g \) mapping elements from Set A to Set B, then for an element \( a \) in Set A, \( a ⊷ b \) implies that \( b \) is the image of \( a \) in Set B under the function \( g \).

In summary, the ⊷ symbol serves as a concise way to express the idea of the image of an element under a function. It is a fundamental concept in the study of functions, relations, and mappings, and understanding its significance can be invaluable in advanced mathematical contexts.

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Codes for the ⊷ Symbol

The Symbol	⊷	copy
Alt Code	Alt 8887	copy
HTML Code	⊷	copy
HTML Entity	⊷	copy
CSS Code	\22B7	copy
Hex Code	⊷	copy
Unicode	U+22B7	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 8887. 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: &#8887;</b>	My symbol: ⊷

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

HTML Text	Output
<b>My symbol: &imof;</b>	My symbol: ⊷

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

CSS and HTML Text	Output
<style> span:after { content: "\22B7";} </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: &#x22B7;</b>	My symbol: ⊷

On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22B7 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+22B7. 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
22B7 [Hold down Alt] [Press x]	⊷ (The 22B7 turns into ⊷. Note that you can omit any leading zeros.)

In JavaScript, the syntax is \uXXXX. So, our example would be \u22B7. (Note that the format is 4 hexadecimal characters.)

JavaScript Text	Output
let str = "\u22B7" document.write("My symbol: " + str)	My symbol: ⊷

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