- #1
db1uover
- 16
- 0
What symbol is a small vertical bar with an arrow? I know a plain arrow is "determines". Is there a good site that lists the vocabulary of mathematicians?
db1uover said:What symbol is a small vertical bar with an arrow? I know a plain arrow is "determines". Is there a good site that lists the vocabulary of mathematicians?
db1uover said:Thank you all. Hootenanny, that is what I was looking for, the mathematical verbage. So, the difference between 'maps to' and 'determines' is one is already in place while the other is being fleshed out?
cristo said:So, say, the real function f(x)=x^2 would be expressed as [itex] f:\mathbb{R}\to\mathbb{R}, x\mapsto x^2[/itex]
db1uover said:Is this read as 'function f such that Real determines Real when x maps to x squared'? I'm out of school, but trying to remember standard math-ese.
The vertical bar with an arrow, also known as the "such that" symbol, is commonly used in set notation to indicate the criteria or conditions that must be met by the elements of a set. It is usually placed after the set and before the conditions, and is read as "such that."
The vertical bar with an arrow symbol is unique in that it is used specifically to indicate a relationship between a set and its elements, while other symbols may have a variety of meanings depending on the context in which they are used.
Yes, the vertical bar with an arrow symbol can also be used in other areas of mathematics, such as in logic and probability. In logic, it is used to denote the conditional relationship between two statements, while in probability it is used to represent conditional probability.
No, the vertical bar with an arrow symbol is not commonly used in everyday mathematics. It is mostly used in more advanced mathematical concepts and is not typically taught in basic math courses.
Yes, the colon symbol (:) is often used in place of the vertical bar with an arrow symbol to indicate the same "such that" relationship in set notation. However, the vertical bar with an arrow is preferred in more formal mathematical writing.