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⃙

combining clockwise ring overlay

Combining Clockwise Ring Overlay

⃙ is a combining mark that adds a clockwise ring to the mathematical symbol before it. With an integral sign, it can mark clockwise travel around a contour, a path around a region, but ∲ is the complete clockwise contour-integral sign. On its own, the mark may appear over a dotted circle or land badly because font support controls its placement.

Text symbol
Search it as
clockwise contour integral · clockwise integral sign · integral with a ring · ring overlay · combining ring mark · clockwise ring modifier
Shows up in
Anything that takes text · its shape is whatever your font draws

What ⃙ means

It overlays the symbol immediately before it with a clockwise ring.

A 1999 Unicode discussion showed ring overlays building contour, surface, and volume integral notation, and paired this clockwise mark with an integral sign for clockwise travel around a contour—a path around a region. This base-plus-mark construction does not make the pair a canonical decomposition of ∲.

Why does the mark need a base?

It needs a base symbol and a font that positions marks well.

Place ⃙ after its intended base in the text sequence. A combining mark has no separate baseline advance, so by itself it may show with a dotted-circle carrier or fail to produce a useful reading.

Whether the overlay lands neatly depends on font support. Treat it as notation markup, not an accent for ordinary letters.

Where did ringed integral notation come from?

Printed integral signs developed through several forms.

A historical account records the ordinary integral sign in Cauchy’s 1846 paper. It locates Wilson’s earliest cited circle-below examples in books from 1901, 1909, 1911, and 1912, followed by a middle-circle form in Sommerfeld’s 1917 paper. These printed forms document contour-integral notation over time; they do not establish the history of this combining mark itself.

Don't confuse it with

2

Combination ideas

1
An integral sign followed by this clockwise ring modifier marks clockwise travel around a contour.

Questions people ask

2

Does the dotted circle belong to the mark?

No. It is a display carrier used when no base is present; it is not part of the combining mark.

Is ∲ the same as ⃙?

No. ∲ is one complete clockwise contour-integral sign, while ⃙ modifies a preceding symbol. Their meanings are related, but the characters are not interchangeable.

How to type ⃙

Windows (Word)
Alt+XType 20D9, then Alt+X to get ⃙.
Windows
Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win + .).
macOS
Control+Command+SpaceOpen the character viewer and search “combining clockwise ring overlay”.
Linux
Ctrl+Shift+UType 20d9, then Enter or Space.
HTML
⃙
CSS
\20D9
Unicode input
In an editor with hexadecimal Unicode entry, enter 20D9 after the intended base; the keystroke sequence depends on the editor.
ConTeXt
Use \ointclockwise for the complete clockwise contour-integral sign in a ConTeXt setup that provides this command.
Codes and encoding1 code points
HTML decimal
⃙
HTML hex
⃙
CSS content
content: "\20D9";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%83%99
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Accents & marks659 symbols