I was reading on Wikipedia in this article about the n-dimensional and functional generalization of the Gaussian integral. In particular, I would like to understand how the following equations are
The integral which you describe has no closed form which is to say that it cannot be expressed in elementary functions. For example, you can express $\int x^2 \mathrm {d}x$ in elementary functions such as $\frac {x^3} {3} +C$. However, the indefinite integral from $ (-\infty,\infty)$ does exist and it is $\sqrt {\pi}$ so explicitly: $$\int^ {\infty}_ {-\infty} e^ {-x^2} = \sqrt {\pi}$$ Note ...
1.Select one of the options from the following. 2.Select one of the options from the followings. I thought till now that sentence 1 is right and 2 is not used. But I have seen a recent questio...
The definite noun phrase the following examples contains enough information for the reader to identify which examples are being talked about. The examples that the definite noun phrase refers to are the ones that are about to be mentioned.
When would it be acceptable to use the following form? From a order paid with the credit card we get following response: ... over From a order paid with the credit card we get the following respon...
Which of the following sentences is more appropriate? The reasons for these decisions are as following: The reasons for these decisions are as follows: This operator is defined as following: This
word choice - "As following" vs "as follows" - English Language ...
I would like to know if I should use following or according to when referring to some guidelines, such as in the following example: Stunting was diagnosed when a patient’s height was smaller than 1.40m, for men, or 1.30m, for women.