Identical To

The Mathematical Symbol "Identical To (≡)"

homesitemapsymbolsidentical to

The ≡ Symbol in Mathematics: Identical To

Mathematics boasts an extensive array of symbols, each carrying its distinct significance. Among them, the ≡ or "Identical To" symbol plays a pivotal role. This article aims to demystify its meaning, pinpoint its main applications, and provide illustrative examples.

Usage

The ≡ symbol is primarily used to indicate that two expressions are identical in value or form, meaning they are essentially the same in every conceivable way. It goes beyond mere equality by implying a deeper congruence between the two entities.

Examples

• Example 1: In modular arithmetic:
If two integers $$a$$ and $$b$$ leave the same remainder when divided by an integer $$n$$, we can say $$a ≡ b$$ (mod $$n$$). This denotes that $$a$$ and $$b$$ are identical with respect to modulo $$n$$.
• Example 2: In logical equivalences:
If two logical statements $$P$$ and $$Q$$ are always true at the same time and always false at the same time, then they are said to be logically equivalent, represented as $$P ≡ Q$$.

In summary, the ≡ symbol serves as a powerful notation to express deep congruence or identity between mathematical entities. Recognizing and understanding its implications are crucial for various mathematical theories and proofs.

Are You Good at Mathematical Symbols?

Do you know, or can you guess, the technical symbols? Well, let's see!
Gold

Silver

Bronze

0
• This test has questions.
• A correct answer is worth 5 points.
• You can get up to 5 bonus points for a speedy answer.
• Some questions demand more than one answer. You must get every part right.
• Beware! Wrong answers score 0 points.
• 🏆 If you beat one of the top 3 scores, you will be invited to apply for the Hall of Fame.
Scoring System

Guru (+)
Hero (+)
Captain (+)
Sergeant (+)
Recruit (+)

Codes for the ≡ Symbol

 The Symbol ≡ Alt Code Alt 8801 HTML Code ≡ HTML Entity ≡ CSS Code \2261 Hex Code ≡ Unicode U+2261

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 8801. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#8801;</b>My symbol: ≡

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

HTML TextOutput
<b>My symbol: &equiv;</b>My symbol: ≡

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

CSS and HTML TextOutput
<style>
span:after {
content: "\2261";}
</style>
<span>My symbol:</span>
My symbol: ≡

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

HTML TextOutput
<b>My symbol: &#x2261;</b>My symbol: ≡
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2261 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+2261. 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:
TypeOutput
2261
[Hold down Alt]
[Press x]

(The 2261 turns into ≡. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2261. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2261"
document.write("My symbol: " + str)
My symbol: ≡

You might also like...

Help Us Improve Mathematics Monster

• Did you spot a typo?
Please tell us using this form.

Find Us Quicker!

• When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.

If you do, please tell us. It helps us a lot!

Create a QR Code

Use our handy widget to create a QR code for this page...or any page.

next up:

Homothetic (∻)

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

More Symbols

Full List of Mathematical Symbols