Home U+2000 to U+206F General Punctuation

# U+2062Invisible Times

U+2062 was added to Unicode in version 3.2 (2002). It belongs to the block U+2000 to U+206F General Punctuation in the U+0000 to U+FFFF Basic Multilingual Plane.

This character is a Format and is commonly used, that is, in no specific script.

The glyph is not a composition. It has a Neutral East Asian Width. In bidirectional context it acts as Boundary Neutral and is not mirrored. In text U+2062 behaves as Alphabetic regarding line breaks. It has type Format for sentence and Format for word breaks. The Grapheme Cluster Break is Control.

Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator , by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

The multiplication of whole numbers may be thought of as repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier. Both numbers can be referred to as factors.

a × b = b + ⋯ + b ⏟ a  times {displaystyle a imes b=underbrace {b+cdots +b} _{a{ ext{ times}}}}

For example, 4 multiplied by 3, often written as 3 × 4 {displaystyle 3 imes 4} and spoken as "3 times 4", can be calculated by adding 3 copies of 4 together:

3 × 4 = 4 + 4 + 4 = 12 {displaystyle 3 imes 4=4+4+4=12}

Here, 3 (the multiplier) and 4 (the multiplicand) are the factors, and 12 is the product.

One of the main properties of multiplication is the commutative property, which states in this case that adding 3 copies of 4 gives the same result as adding 4 copies of 3:

4 × 3 = 3 + 3 + 3 + 3 = 12 {displaystyle 4 imes 3=3+3+3+3=12}

Thus the designation of multiplier and multiplicand does not affect the result of the multiplication.

Systematic generalizations of this basic definition define the multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers.

Multiplication can also be visualized as counting objects arranged in a rectangle (for whole numbers) or as finding the area of a rectangle whose sides have some given lengths. The area of a rectangle does not depend on which side is measured first—a consequence of the commutative property.

The product of two measurements is a new type of measurement. For example, multiplying the lengths of the two sides of a rectangle gives its area. Such a product is the subject of dimensional analysis.

The inverse operation of multiplication is division. For example, since 4 multiplied by 3 equals 12, 12 divided by 3 equals 4. Indeed, multiplication by 3, followed by division by 3, yields the original number. The division of a number other than 0 by itself equals 1.

Multiplication is also defined for other types of numbers, such as complex numbers, and for more abstract constructs, like matrices. For some of these more abstract constructs, the order in which the operands are multiplied together matters. A listing of the many different kinds of products used in mathematics is given in Product (mathematics).

## Representations

System Representation
8290
UTF-8 E2 81 A2
UTF-16 20 62
UTF-32 00 00 20 62
URL-Quoted %E2%81%A2
HTML hex reference &#x2062;
Wrong windows-1252 Mojibake â¢
HTML named entity &InvisibleTimes;
HTML named entity &it;

## Complete Record

Property Value
Age 3.2 (2002)
Unicode Name INVISIBLE TIMES
Unicode 1 Name
Block General Punctuation
General Category Format
Script Common
Bidirectional Category Boundary Neutral
Combining Class Not Reordered
Decomposition Type None
Decomposition Mapping Invisible Times
Lowercase
Simple Lowercase Mapping Invisible Times
Lowercase Mapping Invisible Times
Uppercase
Simple Uppercase Mapping Invisible Times
Uppercase Mapping Invisible Times
Simple Titlecase Mapping Invisible Times
Titlecase Mapping Invisible Times
Case Folding Invisible Times
ASCII Hex Digit
Alphabetic
Bidi Control
Bidi Mirrored
Composition Exclusion
Case Ignorable
Changes When Casefolded
Changes When Casemapped
Changes When NFKC Casefolded
Changes When Lowercased
Changes When Titlecased
Changes When Uppercased
Cased
Full Composition Exclusion
Default Ignorable Code Point
Dash
Deprecated
Diacritic
Emoji Modifier Base
Emoji Component
Emoji Modifier
Emoji Presentation
Emoji
Extender
Extended Pictographic
FC NFKC Closure Invisible Times
Grapheme Cluster Break Control
Grapheme Base
Grapheme Extend
Hex Digit
Hyphen
ID Continue
ID Start
IDS Binary Operator
IDS Trinary Operator and
Ideographic
Indic Mantra Category
Indic Positional Category NA
Indic Syllabic Category Other
Jamo Short Name
Join Control
Logical Order Exception
Math
Noncharacter Code Point
NFC Quick Check Yes
NFD Quick Check Yes
NFKC Quick Check Yes
NFKD Quick Check Yes
Other Alphabetic
Other Default Ignorable Code Point
Other Grapheme Extend
Other ID Continue
Other ID Start
Other Lowercase
Other Math
Other Uppercase
Prepended Concatenation Mark
Pattern Syntax
Pattern White Space
Quotation Mark
Regional Indicator
Sentence Break Format
Soft Dotted
Sentence Terminal
Terminal Punctuation
Unified Ideograph
Variation Selector
Word Break Format
White Space
XID Continue
XID Start
Expands On NFC
Expands On NFD
Expands On NFKC
Expands On NFKD
Bidi Paired Bracket Invisible Times
Bidi Paired Bracket Type None
East Asian Width Neutral
Hangul Syllable Type Not Applicable
ISO 10646 Comment
Joining Group No_Joining_Group
Joining Type Transparent
Line Break Alphabetic
Numeric Type None
Numeric Value not a number
Simple Case Folding Invisible Times
Script Extension
Vertical Orientation R