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Not Equivalent To

The Mathematical Symbol "Not Equivalent To (≭)"

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The "Not Equivalent To" Symbol (≭)

The ≭ symbol in mathematical notation indicates that two quantities are not equivalent or not congruent, even though they may seem to be at a first glance. It's a stronger statement than merely saying two quantities are not equal, suggesting that they're not even approximately equal under certain considered properties or conditions.

Understanding ≭

The symbol provides a way to convey that, based on a specific context or criteria, two items or quantities don't hold the same value or meaning. This non-equivalence can be instrumental in various mathematical or logical scenarios.

Example 1: Real Numbers

If two real numbers, \( a \) and \( b \), are being considered with respect to a certain property and they don't hold the same value concerning that property, we can express: \[ a ≭ b \] This means \( a \) is not equivalent to \( b \) in the context of the defined property.

Example 2: Geometrical Context

In geometry, if two shapes are similar in appearance but don't share the same geometrical properties, we can say: \[ Shape A ≭ Shape B \] Indicating that the two shapes are not equivalent regarding the properties under consideration.

Applications of ≭

The ≭ symbol finds its usage in:

  • Mathematics: Especially when comparing entities concerning certain characteristics or properties.
  • Computer Science: In algorithm analysis or database theory when comparing structures or entities based on specific criteria.

In summary, the ≭ symbol plays a crucial role in distinguishing non-equivalence between quantities, especially when this distinction goes beyond basic inequality. Its understanding is fundamental in both mathematical theory and practical applications.

Mathematical symbol 'Not Equivalent To'

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Codes for the ≭ Symbol

The Symbol
Alt CodeAlt 8813
HTML Code≭
HTML Entity≭
CSS Code\226D
Hex Code≭
UnicodeU+226D

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 8813. 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: &#8813;</b>My symbol: ≭

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

HTML TextOutput
<b>My symbol: &NotCupCap;</b>My symbol: ≭

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

CSS and HTML TextOutput
<style>
span:after {
content: "\226D";}
</style>
<span>My symbol:</span>
My symbol: ≭

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

HTML TextOutput
<b>My symbol: &#x226D;</b>My symbol: ≭
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x226D 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+226D. 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
226D
[Hold down Alt]
[Press x]

(The 226D turns into ≭. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u226D. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u226D"
document.write("My symbol: " + str)
My symbol: ≭

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More about Mathematical Symbols

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.

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Full List of Mathematical Symbols