Vertical line and colon (“|:”) in register entry

What does the vertical line mean in set notation?

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.

What Does a colon mean in set notation?

such that

In this notation, the colon (“:”) means “such that“, and the description can be interpreted as “F is the set of all numbers of the form n2 − 4, such that n is a whole number in the range from 0 to 19 inclusive.” Sometimes the vertical bar (“|”) is used instead of the colon.

What does the vertical bar mean in set builder notation?

Set builder notation shows all the conditions for any variable in a set. The vertical bar, |, means “such that“. .

What does a vertical line 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 colon mean in discrete math?

1. To denote ratio or odds, as in 2:1 (voiced “two to one”). 2. To mean such that in constructions such as (voiced “the set of numbers such that ). 3.

What is vertical line and horizontal line?

Horizontal lines go side to side and have a slope of 0. Vertical lines go up and down and have a slope that is undefined. Graphs of horizontal lines are parallel to the x-axis. Graphs of vertical lines are parallel to the y-axis.

What is an example of a colon?

A colon can be used to connect two independent sentences. Typically, a colon is used when the second sentence clarifies or explains the first sentence. For example, Me and my sisters are really excited: We’re going to Disneyland!

How do you use colons?

Colons follow independent clauses (clauses that could stand alone as sentences) and can be used to present an explanation, draw attention to something, or join ideas together.
Colons

  1. To announce, introduce, or direct attention to a list, a noun or noun phrase, a quotation, or an example/explanation. …
  2. To join sentences.

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