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Dec22-04, 04:27 PM   #1
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Sigma


I think this is the right forum. I wondering how "sigma" is used, the definition is summation but what does that mean, is it just the sum? Can some 1 give me an example of how it works. Thnx.
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Dec22-04, 04:48 PM   #2
 
[tex]\sum^{n}_{i=0} f(i)[/tex]

This is the sum of f(i) from i=0 to i=n, i.e.

f(0) + f(1) + f(2) + ... f(n)
Dec22-04, 04:53 PM   #3
 
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If you are referring to sigma notation (with the Greek letter [itex]\Sigma[/itex]). It's a convenient way of writing sums.
Suppose you have a sequence of numbers [itex]a_m,a_{m+1},...,a_n[/itex] and you want to add them, then:

[tex]\sum_{i=m}^na_i=a_m+a_{m+1}+...+a_n[/tex]

The [itex]i[/itex] is a variable used for counting. The [itex]i=m[/itex] at the bottom tells us to start with [itex]i=m[/itex] and the [itex]n[/itex] at the top tells us to end with [itex]i=n[/itex].

For example:
[tex]\sum_{i=1}^7 i= 1+2+3+4+5+6+7[/tex]

[tex]\sum_{i=5}^9 i^2= 5^2+6^2+7^2+8^2+9^2[/tex]

[tex]\sum_{j=0}^5 2^j=2^0+2^1+2^2+2^3+2^4+2^5[/tex]

etc.
Dec22-04, 04:56 PM   #4
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Sigma


lol i kinda see it but its a bit unclear to me, maybe a simpler example lol thnx
Dec22-04, 04:56 PM   #5
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lol thnx galileo i see it
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