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㏑

square ln

Square ln

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Square ln, ㏑, is a one-cell form of ln, the notation for the natural logarithm; its square is a text frame, not an exponent. It belongs to a legacy East Asian set of boxed Latin abbreviations retained for text compatibility. If normalization yields plain ln, the mathematical notation stays the same.

Text symbol

What ㏑ means

It is a text frame, not a mathematical power. That lets the two-letter ln occupy one East Asian character cell.

The history of square ln belongs to a larger family of boxed Latin abbreviations associated mostly with older Korean character standards. Japanese boxed katakana and Chinese telegraph signs are related formats, but belong to different subgroups. Unicode included ㏑ in Unicode 1.1 in 1993; that dates its digital encoding, not when the boxed form began.

Compatibility normalization can replace ㏑ with the two ordinary letters ln. The encoded text changes, but the notation still denotes the natural logarithm.

Don't confuse it with

1

Questions people ask

1

Why does ㏑ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type or find ㏑

Search it as
boxed ln · ln symbol · natural logarithm · ln Unicode · ㏑
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 33D1, then AltX 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 “square ln”.
Linux
⎈Ctrl+⇧Shift+UType 33d1, then Enter or Space.
HTML
㏑
CSS
\33D1
Unicode input
To type square ln, enter U33D1 in a Unicode-aware character picker or code-point tool; typing ln alone makes two ordinary letters.
Codes and encoding1 code points
HTML decimal
㏑
HTML hex
㏑
CSS content
content: "\33D1";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E3%8F%91
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

2

Chinese characters99,354 symbols

Chinese, Japanese & Korean121,370 symbols