Down Right Diagonal Ellipsis

The Mathematical Symbol "Down Right Diagonal Ellipsis (⋱)"

The Down Right Diagonal Ellipsis (⋱): An Overview

The Down Right Diagonal Ellipsis, denoted as ⋱ is a mathematical notation that has specific applications in various mathematical contexts. This section will briefly touch upon its primary usages with two examples for each.

1. Indicating Continuation of a Pattern

In some contexts, the ⋱ is used to denote the continuation of a pattern, especially in matrices or series.

Example 1:

Consider a matrix:

⋱ \[ \begin{bmatrix} a_{11} & a_{12} & \dots & a_{1n} \\ a_{21} & a_{22} & \dots & a_{2n} \\ ⋱ & ⋱ \\ a_{n1} & a_{n2} & \dots & a_{nn} \end{bmatrix} \] ⋱

Example 2:

Consider the series:

a_1, a_2, ⋱, a_n

2. Representing Omissions

The symbol is also frequently employed to represent omitted steps or elements in a mathematical process or sequence.

Example 1:

In summation:

\(\sum_{i=1}^{n} a_i = a_1 + a_2 + ⋱ + a_n\)

Example 2:

In a sequence:

1, 2, 3, ⋱, n

These are just a few instances where the Down Right Diagonal Ellipsis is used in mathematical contexts. As with many mathematical symbols, the context in which it's used plays a pivotal role in determining its meaning.

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Codes for the ⋱ Symbol

The Symbol	⋱	copy
Alt Code	Alt 8945	copy
HTML Code	⋱	copy
HTML Entity	⋱	copy
CSS Code	\22F1	copy
Hex Code	⋱	copy
Unicode	U+22F1	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 8945. 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: &#8945;</b>	My symbol: ⋱

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

HTML Text	Output
<b>My symbol: &dtdot;</b>	My symbol: ⋱

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

CSS and HTML Text	Output
<style> span:after { content: "\22F1";} </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: &#x22F1;</b>	My symbol: ⋱

On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x22F1 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+22F1. 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
22F1 [Hold down Alt] [Press x]	⋱ (The 22F1 turns into ⋱. Note that you can omit any leading zeros.)

In JavaScript, the syntax is \uXXXX. So, our example would be \u22F1. (Note that the format is 4 hexadecimal characters.)

JavaScript Text	Output
let str = "\u22F1" document.write("My symbol: " + str)	My symbol: ⋱