# How to use of “the” with some equations? [duplicate]

This question already has an answer here:

I am thinking which one you should use

## A

Lorem ipsun which is the Wigner-Ville transform.

## B

Lorem ipsun which is Wigner-Ville transform.

Some says that the first but I like the last one because it is shorter and because the first letter of the transform is capital.

Should use the article the in the above example?

I have had an idea that if the first letter is uppercase, then you do not need the, because of the following other example

## AA - right according to my teacher

Here in Equation (11) and Figure (2).

## BB - wrong according to my teacher

Here in the Equation (11) and the Figure (7).

## marked as duplicate by RegDwigнt♦Dec 5 '13 at 15:09

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

• @RegDwigHt: The poster's question is not about referring to figures, but to the question of referring to a specific mathematical concept. By the reasoning of the link, the poster should use (2), but that is not correct. For example, a formula is not "Fourier Transform" but a Fourier transform. – user58946 Dec 5 '13 at 15:22

## 1 Answer

I don't think the examples and your actual case are analoguous.

In your examples AA and BB, you are merely identifying two nouns, while in your actual prose, you are specifying a noun (apparently from some previous phrase not included in your post).

Your first case:

Lorem ipsun which is the Wigner-Ville transform.

Is using "the Wigner-Ville transform" as a noun, and saying that something is something else..its a noun-noun relation.

Your second case:

Lorem ipsun which is Wigner-Ville transform

Is using "Wigner-Ville transform" as an adjective, so it is modifying something to make it more specific, it is a noun-modifier relation. To clarify, look at the following two sentences:

1. The dog is a poodle
2. The dog is poodle

I think you can see that (1) makes sense as it is going from a general category to a more specific category, noun to noun, while the second only makes sesnse if "poodle" were some type of adjective, which is it not.

Therefore, since a mathematical transform is a noun, the first is correct, at least by my reading.