Parentheses or brackets (US/UK terminology question)

  • Thread starter Thread starter heth
  • Start date Start date
  • Tags Tags
    Terminology
AI Thread Summary
In the discussion about US and UK terminology for algebraic operations, it is clarified that in the US, the symbols "(" and ")" are referred to as "parentheses," while "{" and "}" are called "braces." The operation of expanding expressions like a(a + b) is commonly referred to as "multiplying out the parentheses" in the US. The term "bracketing" is also mentioned, particularly in the context of computer algebra systems like Mathematica, which uses it generically for different types of brackets. There is an acknowledgment that terminology may vary, and the consensus leans towards using "multiplying out the parentheses." Overall, the discussion highlights the differences in mathematical language between the US and UK.
heth
Messages
108
Reaction score
0

Homework Statement



I'm trying to find out how people in the USA would refer to the following operations - i.e. what name would you give the process of doing something like this:

a(a + b) = a^2 + ab

(a + b)^2 = (a + b)(a + b) = a^2 + 2ab + b^2

Homework Equations



N/A.

The Attempt at a Solution



I have a number of US physics books, but they don't cover algebra. All of my math(s) books are UK or international.I would call the above operation 'multiplying out the brackets', e.g.

http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/symbolsrev4.shtml

But I believe that in the USA, () are called parentheses - so there must be different terminology for the operation as well? As I don't know what it is, I don't know what to search for using a search engine! So any light that can be shed on the subject would be gratefully received - thanks in advance.
 
Physics news on Phys.org
I thought {} were parentheses.
 
madmike159 said:
I thought {} were parentheses.

No, "(" and ")" are "parentheses". "{" and "}" are braces.

But they are "multiplying out" whatever you want to call the symbols!
 
The computer algebra system Mathematica uses the term "Bracketing" in the following way:

Four kinds of bracketing:
(term) parenthesis for grouping
f[x] square brackets for functions
{a,b,c} curly braces for lists
v[] double brackets for indexing

Notice that "bracket" is used here as a specific and generic term.

I don't think you are going to find uniformity here.
 
Thanks for the replies everyone, I'll go with "multiplying out the parentheses".
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Back
Top