ANTICLOCKWISE CONTOUR INTEGRAL·U+2233

Character Information

Code Point
U+2233
HEX
2233
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 88 B3
11100010 10001000 10110011
UTF16 (big Endian)
22 33
00100010 00110011
UTF16 (little Endian)
33 22
00110011 00100010
UTF32 (big Endian)
00 00 22 33
00000000 00000000 00100010 00110011
UTF32 (little Endian)
33 22 00 00
00110011 00100010 00000000 00000000
HTML Entity
∳
URI Encoded
%E2%88%B3

Description

The Unicode character U+2233, known as the Anticlockwise Contour Integral, is a specialized mathematical symbol used predominantly in digital text within the realm of mathematics, specifically in areas such as topology and complex analysis. Its typical role is to denote an integral over a contour that traverses the plane in an anticlockwise direction, as opposed to a clockwise integral denoted by U+2234 (Clockwise Contour Integral). This symbol's usage is primarily found within mathematical equations and formulas, contributing to their clarity and precision. Despite its technical nature, this character plays a vital role in accurately representing complex mathematical concepts and ensuring the correct interpretation of mathematical expressions.

How to type the symbol on Windows

Hold Alt and type 8755 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+2233. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+2233 to binary: 00100010 00110011. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10001000 10110011