8 Intuitively, it means that for every $x \in R$, the function f will give back a value $f (x) \in R$. For example, a function $f (x)=1/x$ is only defined for those $x \in R$ Real Numbers $R$ that are …

Apr 5, 2015 · 9 $\mathbb {R} [x]$ denotes the set of all polynomials with coefficients in $\mathbb {R}$. In particular, this set forms a ring under polynomial addition and multiplication. There is …

16 It usually means the set of all positive real numbers, $\mathbb {R}_ {++} = (0,\infty)$. Of course, there might be more symbols for this set.

$\mathbb R^+$ alone denotes the positive real numbers, and the subscript we see here $0$ denotes the inclusion of zero, as well. So all together, we have the set $$\mathbb R_0^+ = \ …

Dec 3, 2018 · 1 $\mathbb {R}^n$ is the set of all n-tuples with real elements. They are NOT a vector space by themselves, just a set. For a vector space, we would need an extra scalar …

Jun 25, 2014 · I have started seeing the "∈" symbol in math. What exactly does it mean? I have tried googling it but google takes the symbol out of the search.

I found this in a computer medical research text. What is the meaning of this R-like letter? S, in this context is an iso-intensity surface. [edit] Since context is not sufficient, I think it is a

Sep 6, 2017 · Alright, I've done research regarding this question have attained answers that identify $f$ as the function (which is obvious) and identify $\\mathbb R \\rightarrow ...

The answer is "If $R$ is a commutative domain, then yes, $R (x)$ is the field of fractions for $R [x]$, and $R ( (x))$ is the field of fractions for $R [ [x]]$.

A linear transformation $T$ between two vector spaces $\mathbb {R}^n$ and $\mathbb {R}^m$, written $T: \mathbb {R}^n \to \mathbb {R}^m$ just means that $T$ is a function that takes as …