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posted by  indra on 6/29/2008 12:15:42 PM  |  status: Closed  

Easy questions

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Question Details:
Hi there,
 
I would like someone to explain me how to use [ ], ( ), { }
 step by step, and each examples please.
Why x [ -1/3, ∞ ], 
        x  ( -∞, +∞)
        x  ( -∞, -1/3)  (-1/3, ∞)
        x  ( -1/3, +∞)
        x [ -4, 5]
        x (-4, 0)  (0, 2)
        y (-2, 4]  (2, 5]
        g={ (1,2), (3, 4), (5, 6)}
Thank You
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posted by Bernard on 6/30/2008 10:10:04 AM  |  status: Live
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indra's comment:
"graet, thank you"
Response Details:
The first two types of brackets are used to denote intervals:
means that x may be any number between -4 and 5, including -4 and 5.
means that x may be any number between -4 and 5, but not -4 or 5.
The only difference is that the boundaries are not part of the set/interval in the second case.
The third type of brackets is used to denote a set. You can read your last example as follows: g is the set which consists of the elements (1,2), (3,4) and (5,6).
This means that g is a set which consists of three points in 2D, the points (1,2), (3,4) and (5,6).
Sage
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posted by Achilles on 6/30/2008 10:24:31 AM  |  status: Live
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Round brackets (.............)are used in maths to signify a different priority of operators. 2 + 3 × 4 would be 14, for example, since the multiplication is done before the addition. (2 + 3) × 4 is 20, on the other hand, because the parentheses override normal precedence, causing the addition to be done first. They are also used to set apart the arguments in mathematical functions. f(x), for example, is the function f applied to the variable x. brackets denote a set of coordinates in the co-ordinate system. (4,7), for example, may represent the point located at 4 on the x-axis and 7 on the y-axis. Brackets may also represent intervals. (0,5), for example, is the interval between 0 and 5, not including 0 or 5. brackets, can also represent multiplication, as in the instance of 2 (3) = 6. Some authors follow the convention in mathematical equations that, when parentheses have one level of nesting, the inner pair are parentheses and the outer pair are square brackets. Ex: [5−(7+3)]+4=x.

Parentheses are used in computer programming, especially in the C programming language and similar languages, to pass parameters or arguments to functions or methods such as in the example below:
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