QUATERNION INTEGRAL OPERATOR·U+2A16

Character Information

Code Point
U+2A16
HEX
2A16
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 A8 96
11100010 10101000 10010110
UTF16 (big Endian)
2A 16
00101010 00010110
UTF16 (little Endian)
16 2A
00010110 00101010
UTF32 (big Endian)
00 00 2A 16
00000000 00000000 00101010 00010110
UTF32 (little Endian)
16 2A 00 00
00010110 00101010 00000000 00000000
HTML Entity
⨖
URI Encoded
%E2%A8%96

Description

The Unicode character U+2A16, known as the Quaternion Integral Operator, plays a significant role in digital text, specifically within mathematical and scientific documents. It is used to denote the integral operation within the context of quaternions, which are a type of complex number that consists of four real parts. The Quaternion Integral Operator is unique as it is used in this specific field of mathematics to differentiate the operation of integration for quaternion variables from its more widely known counterpart in real numbers. This operator helps maintain accuracy and clarity within mathematical expressions, facilitating a better understanding of the concepts being discussed.

How to type the symbol on Windows

Hold Alt and type 10774 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+2A16. 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+2A16 to binary: 00101010 00010110. 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 10101000 10010110