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:

1

number one

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10

number ten

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2

number two

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3

number three

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4

number four

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5

number five

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6

number six

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7

number seven

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9

number nine

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Absolute Value

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

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Addition

Indicates that two values should be added together.

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Aleph-Null

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

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Aleph-One

Aleph-One represents the cardinality of countable ordinal number sets.

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and

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

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Angle

Indicates an angle.

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Approaches the Limit

Specifies the value that a function, or sequence, "approaches".

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Because

Used in a proof to indicate "because".

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Big O

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

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Cardinality

Indicates the number of elements in a set.

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Cartesian Product

A x B is the set of all ordered pairs from A and B.

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Ceiling

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

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Complement

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

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Complex Numbers

Represents the set that contains all complex numbers.

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Congruence

Means "has the same measurements of".

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Cube Root

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

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Delta

Represents "the change in".

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Division

Divide one number by another.

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Element of

Indicates set membership.

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Empty Set

Represents the set that has no items (i.e., the set that is empty).

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End of Proof

Specifies that you are done with a proof.

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Entails

A |= B if for every A that is true, B is true.

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Equality

Indicates that two sets have the same members.

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Equivalence

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

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Euler's Number

Approximately equal to 2.71828.

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Factorial

The result of 1 x 2 x 3 ... x n.

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False

This symbol represents the boolean value "false".

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Floor

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

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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.

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Function Arrow

Represents the mapping of a value into a set.

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Golden Ratio

Is approximately 1.6180339887.

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Greater Than

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

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Greater Than or Equal To

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

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Inequality

Specifies that two values are not equal to each other.

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Infinity

A value is greater than the largest real number.

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Infinity Symbol

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

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Integers

The set of all integer numbers.

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Intersection

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

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Is defined as

Specifies the definition of something.

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Left Open Interval

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

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Less Than

Value on the left of the < is less than the value on the right.

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Less Than or Equal To

Specifies that one value is less than or equal to another.

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Less Than or Greater Than

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

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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".

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Mean

The mean of a set if the average of all the values in the set.

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Measured Angle

Specifies that an angle has been measured

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Modulo 2 Sum

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

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Much Greater Than

Specifies that one value is much larger than another value.

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Much Less Than

Specifies that one value is much less that another.

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Multiplication

Multiply one value by another.

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Natural Numbers Including Zero

Represents the set of all natural numbers including zero.

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Natural Numbers Without 0

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

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Nearest Integer

The nearest integer of a value is the integer closest to the value.

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negation (not)

Negates a logical value, i.e., ! true = false and ! false = true.

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not element of

Indications that an element is not a member of a set.

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Not less than or greater than

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

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Not Parallel To

Specifies that two lines are not parallel to each other.

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not subset

Indications that a set is not a subset of another set

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Not Superset

Indicates that a set is not a superset of another set.

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Open Interval

A range of values between, but not equal to, the listed values.

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or

The statement "A or B" is true if A or B is true

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Ordered Pair

A set of two elements.

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Parallel To

Specifies that two lines are parallel to each other.

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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.

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Plus or Minus

Indicates that result can be the sum or difference of two values.

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Power Set

A power set refers to subsets of A.

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Probability

The probably of an event happening.

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Product

The product of a function over a range of values.

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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.

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Proper Superset (also called strict superset)

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

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Proportional to

Specifies that a value is proportional to another value

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Provable

Means a statement is provable

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Quaternions

Represents the set {a + bi + cj + dk : a,b,c,d ∈ real numbers}

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Rational Numbers

Represents the set of all rational numbers.

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Real Numbers

Represents the set that contains all real numbers.

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Relative Complement

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

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Right Angle

Specifies that an angle is 90 degrees.

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Right Open Interval

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

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Right Triangle

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

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set

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

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Set Brackets

A comma separated list of values that represent the members of a set.

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Square Root

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

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Standard Deviation

The Standard Deviation is a measure of how spread out numbers are.

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Subset

A subset of a group is a set that contains some or all of the elements of a set.

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Subtraction

Indicates to subtract (take away) one value from another.

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Subtraction or Addition

means the difference and the sum of two values

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Summation

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

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Superset

The superset has all the items of a set and possibly additional items.

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Symmetric Difference

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

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Tensor Product

Create new sets by multiplying a set by each member of another set

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There exists

There is at least one value of x for which f(x) is true.

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There exists exactly one

There is exactly one value of x for which x is true.

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Therefore

Specifies because of a set conditions therefore another condition is true.

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True

This symbol represents the boolean value "true".

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Union

The union of two sets is the set of all objects in both sets.

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Unit Vector

A vector that has a length of 1.

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Universal Quantification

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

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Universal set

The set that contains all possible values.

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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.

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xor (exclusive or)

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

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Citation

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

Style:MLAChicagoAPA

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

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