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⍟

apl functional symbol circle star

APL Circle Star

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To enter ⍟, use an APL-aware editor or keymap; standard keyboards rarely assign it directly. APL is a programming language; this APL logarithm operator computes a natural log by itself and uses a supplied left argument as the base. Its paired * operator handles exponentials.

Text symbol

What ⍟ means

Use an APL-aware editor or keymap.

An APL keymap or APL keyboard layout exposes this specialized glyph; ordinary layouts rarely assign ⍟ to a dedicated key.

What does ⍟ do in APL?

It is APL’s logarithm operator.

⍟x applies the natural logarithm to x. In a⍟b, a is the base and b is the number whose logarithm is taken. APL’s paired * operator handles exponentials.

Where did this APL notation come from?

It grew from notation for describing algorithms.

In 1957, mathematician Kenneth Iverson developed mathematical notation for describing algorithms. The first known publication of the APL idea appeared on August 29, 1960. In 1966, the notation moved into executable APL implementations, where compact symbols such as ⍟ became operators.

Highly technical: in APL, ⍟ marks a logarithm operation.

Part of the collection

Don't confuse it with

1

Combination ideas

2
Natural logarithm of 8.
Logarithm of 8 to base 2.

Questions people ask

1

Will every font display ⍟ correctly?

No. If a font lacks this technical glyph, it may show a missing character or a shape that looks different. Use a font and tools that support APL symbols.

How to type or find ⍟

Also called
circle star · APL log
Search it as
apl logarithm · apl glyph · apl keyboard
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 235F, 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 “apl functional symbol circle star”.
Linux
⎈Ctrl+⇧Shift+UType 235f, then Enter or Space.
HTML
⍟
CSS
\235F
APL keymap
Use an APL-aware editor or keyboard layout that exposes specialized APL symbols; the exact key depends on the layout.
Codes and encoding1 code points
HTML decimal
⍟
HTML hex
⍟
CSS content
content: "\235F";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%8D%9F
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

Maths & numbers1,835 symbols

Shapes & colours597 symbols