# Mathematical Symbols

### This page lists all the various symbols in the **Mathematical Symbols** category.

This is a list of symbols found within all branches of mathematics.

## Symbols in this category:

### Absolute Value

The absolute value of a number is the magnitude of a value, ignoring the sign.

### Aleph-Null

Aleph-Null represents the infinite cardinality of the set of natural numbers.

### and

The statement A & B is true if both A is true and B is true. Otherwise the statement is false.

### Big O

Represents the order of complexity of a problem. Used to describe how closely a finite series approximates a given function

### Ceiling

The ceiling of a value is the smallest integer that is greater than, or equal to, the value.

### Complement

The complement of a set A is the set that contains all elements that are not in set A.

### Cube Root

The cube root of a value is the number that you multiple by itself 3 times to get the original value.

### Equivalence

Equivalence is being equivalent or interchangeable. The relationship indicates that both sides are either both true or both false.

### Floor

The floor of a number is the largest integer that is less than, or equal to, the number.

### Forth Root

The fourth root of a value is the number that you would need to multiple by itself 4 times to get the original value.

### Greater Than

Specifies that the value on the left of the > is larger than the value on the right.

### Greater Than or Equal To

Specifies that one value is greater than, or equal to, another value.

### Infinity Symbol

The infinity symbol (sometimes called the lemniscate) is a mathematical symbol representing the concept of infinity.

### Intersection

The intersection of two sets is the set of objects that belong to both sets.

### Left Open Interval

A range of values between the listed values including the right value but not the left value.

### Less Than or Greater Than

Specifies that one value is less than or greater than another (i.e., not equal to).

### Logical Implication (Implies)

The statement on the left side of the symbol implies the statement on the right side. Can also be read as If, Then, i.e., if "statement on left side", then "statement on right side".

### Modulo 2 Sum

Adding two numbers together bit by bit performing the xor operation on the pairs of bits.

### Natural Numbers Including Zero

Represents the set of all natural numbers including zero.

### Natural Numbers Without 0

Represents the set that contains all the natural numbers except 0.

### Not less than or greater than

Specifies that one value is not less than or greater than another.

### Pi

The number pi (symbol: π) /paɪ/ is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159.

### Proper Subset (also called a strict subset)

A proper subset is subset that has few elements than the set, i.e., the subset can not be the original set.

### Proper Superset (also called strict superset)

A proper superset is a superset that has more elements than a set.

### Relative Complement

Refers to objects that belong to one set but are not in the other set.

### Right Open Interval

A range of values between the listed values including the left value but not the right value.

### Right Triangle

Specifies that a triangle is a right triangle (i.e., has an angle that is 90 degrees)

### set

A set is a collection of elements represented as a comma separated list of elements.

### Square Root

The square root of a number is the value that you need to multiple by itself to get the number.

### Summation

The sum of the results of a function over a range of values. Basically an upper-case Sigma.

### Symmetric Difference

Items that belong to two sets but not the intersection of the two sets.

### Universal Quantification

This represents "for all" (or better "for each") or "given any".

### Vertical Bar

The vertical bar (|) is a character with various uses in mathematics, computing, and typography. It may be called by various other names including the polon, pipe (by the Unix community, referring to the I/O pipeline construct), Sheffer stroke (by computer or mathematical logicians), verti-bar, vbar, stick, vertical line, straight vertical line, vertical slash, or bar, glidus, think colon, poley, or divider line.

### xor (exclusive or)

The result of A xor B is true if A is True or B is True but not both True.

# Citation

#### Use the citation below to add this symbols category to your bibliography:

"Mathematical Symbols." *Symbols.com.* STANDS4 LLC, 2014. Web. 19 Dec. 2014. <http://www.symbols.com/category/36>.