What Does Vertical Bar Mean?

What does the vertical bar mean in math?

The vertical bar is used as a mathematical symbol in numerous ways: absolute value: , read “the absolute value of x” cardinality: , read “the cardinality of the set S” conditional probability: , reads “the probability of X given Y” determinant: , read “the determinant of the matrix A”..

What does a vertical line between two numbers mean?

The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of “negative 10” is ten, and the absolute value of “positive 10” is also 10. The absolute value of zero is zero. Examples.

How do you type a vertical line?

You can type a straight vertical line, or “|,” on most modern keyboards dating back to some of the 1980s IBM PCs. It’s generally found above the backslash, so you can type a “|” by holding down the shift key and hitting the “” key.

What do two bars in math mean?

The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value. … |x| means the negative of the absolute value of x.

How do you use the vertical line test to identify a function?

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

What is the vertical bar used for?

(computing) A symbol which, in Unix, is used as a pipe. (computing) A symbol which, in regular expressions, indicates an alternation. The vertical bar character (|), located over the backslash (\) key, is used as an OR operator.

What does the vertical bar mean in probability?

The vertical bar is often called a ‘pipe’. It is often used in mathematics, logic and statistics. It typically is read as ‘given that’. In probability and statistics it often indicates conditional probability, but can also indicate a conditional distribution. You can read it as ‘conditional on’.

What does a number with a bar over it mean?

In a decimal number, a bar over one or more consecutive digits means that the pattern of digits under the bar repeats without end.

What does the math symbol mean?

This symbol < means less than, for example 2 < 4 means that 2 is less than 4. This symbol > means greater than, for example 4 > 2. ≤ ≥ These symbols mean ‘less than or equal to’ and ‘greater than or equal to’ and are commonly used in algebra. In computer applications <= and >= are used.

How do you type a vertical bar?

“|”, How can I type it?Shift-\ (“backslash”).German keyboard it is on the left together with < and > and the Alt Gr modifier key must be pressed to get the pipe.Note that depending on the font used, this vertical bar can be displayed as a consecutive line or by a line with a small gap in the middle.More items…

What does B mean in math sets?

A B means that set A is a subset of set B. This means that every member of set A also appears in set B. is the empty set – a set with no items in it. For example, if A is the set of numbers which are both odd and even then A = .

What is the vertical line symbol called?

The vertical line, also called the vertical slash or upright slash ( | ), is used in mathematical notation in place of the expression “such that” or “it is true that.” This symbol is commonly encountered in statements involving logic and sets. Also see Mathematical Symbols.

Is a vertical line a linear relationship?

A function is a relation with the property that each input is related to exactly one output. … The graph of a linear function is a straight line, but a vertical line is not the graph of a function. All linear functions are written as equations and are characterized by their slope and y -intercept.

Is a vertical line a function?

For a relation to be a function, use the Vertical Line Test: Draw a vertical line anywhere on the graph, and if it never hits the graph more than once, it is a function. If your vertical line hits twice or more, it’s not a function.

Is horizontal line a function?

Horizontal lines are, in fact, functions. … It is not a function. A function must only have one y value for each x value. A horizontal line has the same y value for every x value – it is a constant NOT a function.