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The same angle bracket compares two numbers and feeds a file into a command.
Between two quantities it is a comparison. After a command in a shell it redirects input: the command reads from the named file instead of from the terminal. The meanings are unrelated — the shell use is not 'less than' anything — and only position tells you which you are looking at.
The same character used for a different job: comparison in mathematics, input redirection in a shell.
Drawn from the visual attributes recorded for each symbol. Only traits the two records disagree about are listed.
| Trait | Less-than sign | Input redirection operator |
|---|---|---|
| Built from | lines and dots, abstract | abstract |
| Less-than sign | Input redirection operator | |
|---|---|---|
| Where | Between two quantities | After a command, before a filename |
| What it means | The left is smaller than the right | Read input from this file |
| Related meanings | — | None — the shapes coincide, the ideas do not |
| Mirror form | Greater-than sign | Output redirection |
| Relationship (from Symbolwise's records) | Commonly confused with Input redirection operator — The same character used for a different job: comparison in mathematics, input redirection in a shell. | Commonly confused with Less-than sign — The same character used for a different job: comparison in mathematics, redirection in a shell. |
Unicode Code Chart: Mathematical Operators (U+2200–U+22FF)
The Unicode Consortium · retrieved 2026-07-30
Authoritative for the character's code point, name and block only. Unicode assigns identity; it does not define what a symbol means in use.
Unicode Code Chart: Basic Latin (U+0000–U+007F)
The Unicode Consortium · retrieved 2026-07-30
Authoritative for the character's code point, name and block only. Unicode assigns identity; it does not define what a symbol means in use.
Wikipedia · retrieved 2026-07-30
Tertiary reference. Used for widely-agreed identity and origin summary, not for contested detail or exact dates.
Glossary of mathematical symbols
Wikipedia · retrieved 2026-07-31
Tertiary reference. Used for what the notation means in ordinary mathematical practice and for attribution of its introduction, not for a claim that any body defines it.
Length is the tell. A crescendo hairpin is drawn long, below a stave, and spans the passage it applies to — its extent *is* the instruction. A less-than sign is one character wide and sits between two values. If it stretches, it is music; if it fits between two numbers, it is mathematics.
The wide end always faces the larger quantity and the point faces the smaller one — that single rule settles both signs at once, and every mnemonic taught for them is a restatement of it. Thomas Harriot introduced the pair together in a work published in 1631, ten years after his death.
Look at whether the stroke is sharp or curved. The less-than sign is a wedge of two straight strokes meeting at a point and says one number is smaller than another. The subset sign is a single curved stroke and says every member of one set is also a member of another. They are different characters about different kinds of thing, and only typography keeps them apart.
Alpha is a Greek letter and stands for a quantity — an angle, a coefficient, a significance level. The proportionality sign is an operator and stands between two quantities to say they keep a constant ratio. The drawings differ in that the proportionality sign's right-hand stroke runs out in an open curve rather than closing into the letter's tail.