Less-than sign
This article needs additional citations for verification. (June 2019) |
< | |
---|---|
Less-than sign | |
In Unicode | U+003C < LESS-THAN SIGN (<, <) |
Different from | |
Different from | U+2329 〈 LEFT-POINTING ANGLE BRACKET |
Related | |
See also | U+003E > GREATER-THAN SIGN U+2264 ≤ LESS-THAN OR EQUAL TO U+2A7D ⩽ LESS-THAN OR SLANTED EQUAL TO used e.g. in Poland U+226A ≪ MUCH LESS-THAN |
The less-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far back as the 1560s. In mathematical writing, the less-than sign is typically placed between two values being compared and signifies that the first number is less than the second number. Examples of typical usage include 1⁄2 < 1 and −2 < 0.
Since the development of computer programming languages, the less-than sign and the greater-than sign have been repurposed for a range of uses and operations.
Computing
[edit]The less-than sign, <, is an original ASCII character (hex 3C, decimal 60).
Programming
[edit]In BASIC, Lisp-family languages, and C-family languages (including Java and C++), comparison operator <
means "less than".
In Coldfusion, operator .lt.
means "less than".
In Fortran, operator .LT.
means "less than"; later versions allow <
.
Shell scripts
[edit]In Bourne shell (and many other shells), operator -lt
means "less than". Less-than sign is used to redirect input from a file. Less-than plus ampersand (<&
) is used to redirect from a file descriptor.
Double less-than sign
[edit]The double less-than sign, <<, may be used for an approximation of the much-less-than sign (≪) or of the opening guillemet («). ASCII does not encode either of these signs, though they are both included in Unicode.
In Bash, Perl, and Ruby, operator <<EOF
(where "EOF" is an arbitrary string, but commonly "EOF" denoting "end of file") is used to denote the beginning of a here document.
In C and C++, operator <<
represents a binary left shift.
In the C++ Standard Library, operator <<
, when applied on an output stream, acts as insertion operator and performs an output operation on the stream.
In Ruby, operator <<
acts as append operator when used between an array and the value to be appended.
In XPath the <<
operator returns true if the left operand precedes the right operand in document order; otherwise it returns false.[1]
Triple less-than sign
[edit]In PHP, operator <<<OUTPUT
is used to denote the beginning of a heredoc statement (where OUTPUT
is an arbitrary named variable.)
In Bash, <<<word
is used as a "here string", where word
is expanded and supplied to the command on its standard input, similar to a heredoc.
Less-than sign with equals sign
[edit]The less-than sign with the equals sign, <=
, may be used for an approximation of the less-than-or-equal-to sign, ≤. ASCII does not have a less-than-or-equal-to sign, but Unicode defines it at code point U+2264.
In BASIC, Lisp-family languages, and C-family languages (including Java and C++), operator <=
means "less than or equal to". In Sinclair BASIC it is encoded as a single-byte code point token.
In Prolog, =<
means "less than or equal to" (as distinct from the arrow <=
).
In Fortran, operators .LE.
and <=
both mean "less than or equal to".
In Bourne shell and Windows PowerShell, the operator -le
means "less than or equal to".
Less-than sign with hyphen-minus
[edit]In the R programming language, the less-than sign is used in conjunction with a hyphen-minus to create an arrow (<-
), this can be used as the left assignment operator.
Spaceship operator
[edit]Less-than sign is used in the spaceship operator.
HTML
[edit]In HTML (and SGML and XML), the less-than sign is used at the beginning of tags. The less-than sign may be included with <
. The less-than-or-equal-to sign, ≤, may be included with ≤
.
Unicode
[edit]Unicode provides various Less Than Symbol:[2]
Symbol | Name | Code Point |
---|---|---|
⍃ | Apl Functional Symbol Quad Less Than | U+2343 |
⧀ | Circled Less Than | U+29C0 |
⦖ | Double Right Arc Less Than Bracket | U+2996 |
< | Fullwidth less than | U+FF1C |
⋜ | Equal To Or Less Than | U+22DC |
⦓ | Left Arc Less Than Bracket | U+2993 |
⥷ | Leftwards Arrow Through Less Than | U+2977 |
⥶ | Less Than Above Leftwards Arrow | U+2976 |
≨ | Less Than But Not Equal To | U+2268 |
⋦ | Less Than But Not Equivalent To | U+22E6 |
≤ | Less Than Or Equal To | U+2264 |
≲ | Less Than Or Equivalent To | U+2272 |
≦ | Less Than Over Equal To | U+2266 |
< | Less Than Sign | U+003C |
⩹ | Less Than With Circle Inside | U+2A79 |
⋖ | Less Than With Dot | U+22D6 |
≪ | Much Less Than | U+226A |
≰ | Neither Less Than Nor Equal To | U+2270 |
≴ | Neither Less Than Nor Equivalent To | U+2274 |
≮ | Not Less Than | U+226E |
﹤ | Small Less Than Sign | U+FE64 |
⋘ | Very Much Less Than | U+22D8 |
The less-than sign may be seen for an approximation of the opening angle bracket, ⟨. True angle bracket characters, as required in linguistics notation, are expected in formal texts.
Mathematics
[edit]In an inequality, the less-than sign and greater-than sign always "point" to the smaller number. Put another way, the "jaws" (the wider section of the symbol) always direct to the larger number.
The less-than-sign is sometimes used to represent a total order, partial order or preorder. However, the symbol is often used when it would be confusing or not convenient to use <. In mathematical writing using LaTeX, the TeX command is \prec
. The Unicode code point is U+227A ≺ PRECEDES.
See also
[edit]References
[edit]- ^ "XML Path Language (XPath) 2.0 (Second Edition)". www.w3.org. W3C. 14 December 2010. Archived from the original on 7 October 2022. Retrieved 29 October 2019.
- ^ "Less than symbol". Archived from the original on 2023-05-16. Retrieved 2023-06-06.