N-Ary Summation Symbol ∑

Defining the N-ary Summation

The N-ary Summation, often denoted as ∑ (the capital Greek letter sigma), signifies a generalized form of addition where 'N' terms are combined. Unlike binary operations that involve only two terms, the N-ary Summation extends this operation to accommodate multiple addends.

Representation and Notation

The notation of the N-ary Summation involves listing 'N' terms within the symbol ∑, such as:

∑ (x₁, x₂, ..., x_N)

This signifies the summation of terms x₁, x₂, and so on, up to x_N.

Use Cases and Applications

The N-ary Summation finds applications in various mathematical fields, including calculus, sequences, and series. In calculus, it is utilized to represent sums of terms in sequences or series, allowing for the analysis of convergence and divergence.

Properties of the N-ary Summation

Similar to the properties of addition, the N-ary Summation exhibits properties such as commutativity, associativity, and distributivity. For any set of 'N' terms, the order of summation does not affect the result, and the operation can be regrouped without changing the outcome.

The N-ary Summation serves as a crucial mathematical operation, enabling the addition or accumulation of multiple terms within sequences or series. Its versatility and applicability across various mathematical domains showcase its significance as a foundational concept in mathematical calculations and analysis.

Exploring the N-ary Summation not only enhances mathematical understanding but also highlights its practical use in analyzing sequences, series, and mathematical calculations, contributing to the foundation of mathematical reasoning and analysis.

∑

Copy to Clipboard

N-Ary Summation Symbol Information

Symbol Name	N-Ary Summation
Unicode Version	1.1 (June 1993)
Unicode	U+2211
CSS Code	\2211
HTML Entity	∑

Hex Code	∑
HTML Code	∑

N-Ary Summation Symbol Encoding

UTF-8	0xE2 0x88 0x91
UTF-16	0x2211
UTF-32	0x00002211

N-Ary Summation PNG and SVG files
How to type n-ary summation on Microsoft Word
How to type n-ary summation on Microsoft Windows
How to type n-ary summation on Mac OS
How to type n-ary summation on Linux
How to type n-ary summation on IOS and Android
How to use n-ary summation in CSS
How to use n-ary summation in HTML
N-Ary Summation representation in programming languages

N-Ary Summation symbol's PNG and SVG files

Download
PNG

Download
SVG

How to add n-ary summation symbol via keyboard on different Operating systems

You can type the n-ary summation on most modern devices with the help of following methods:

How to type n-ary summation symbol on Microsoft Word

You can type the n-ary summation on microsoft Microsoft Word using steps mentioned below:

Place your cursor in the text area where you need to insert the symbol and type 2 2 1 1
Without moving the cursor press keys Alt + x together
The original 2 2 1 1 is now transformed into ∑

How to type n-ary summation symbol on Microsoft Windows

You can type the n-ary summation on Microsoft windows using following steps:

Hold Alt and press to type n-ary summation on your windows machine.

How to type n-ary summation symbol on Mac OS

You can type the n-ary summation on Mac OS using following steps:

Place your cursor in the text area where you need to insert the symbol
Press Ctrl + ⌘ Command + ⎵ Space to bring up the Character Viewer. Alternatively, choose Edit ⇒ Emoji & Symbols
Type “N-Ary Summation” in the search field at the top and press Enter
The symbol should appear. Click on it to insert it into your text

How to type n-ary summation symbol on Mac OS

How to type n-ary summation symbol on Linux

You can type the n-ary summation on Linux using following steps:

Place your cursor in the text area where you need to insert the symbol
Hold ⇧ Shift + Ctrl and press the letter + U
Press keys 2 2 1 1 consecutively
And then press ↵ Enter , the desired symbol will be added to your document

How to type n-ary summation symbol on IOS and Android

The easiest way to type the n-ary summation on ios and android is to copy and paste it wherever you need it.

How to use n-ary summation in CSS

Copy // css example


                                            span {

                                            content: "\2211";

                                        }

How to type n-ary summation in HTML

Copy // html example


                                            <span>&#8721;</span>

N-Ary Summation symbol representation in programming languages

n-ary summation's representation in different programming languages can be found in table below:

Language	Representation
Rust	\u{2211}
Ruby	\u{2211}
Python	\u2211
PHP	\u{2211}
Perl	"\x{2211}"
Java	\u2211
Modern JavaScript - Since ES6	\u{2211}
JavaScript	\u2211
Go	\u2211
C#	\u2211
C and C++	\u2211
Bash and Zsh - inside echo -e	\u2211
RFC 5137	\u'2211'