Introduction to Maya - Modeling Fundamentals Vol 1
This course will look at the fundamentals of modeling in Maya with an emphasis on creating good topology. We'll look at what makes a good model in Maya and why objects are modeled in the way they are.
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1
10-02-2011
, 08:56 PM
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Maths Help
currently doing a discreet maths course and got on to the topic of set theory, I was wondering if someone could tell me weather I have the right answer to this questions I have answered.
Considering any 4 subsets of a universe, U, work out (and show your
working)
(1) how many different regions there could be.
My answer was 8 different regions.
(vi) how many different ways of combining these regions using boolean com-
binations are there?
I got this to 256 combining these regions.
I know this may be plain english to some people,But it has been so long since I touch on mathmatics
Thnaks in advance
Jason
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2
11-02-2011
, 05:36 AM
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As for the second part of the question, it does not make complete sense to me. A set is normally a well defined set of elements, the number of boolean results of which can be finitely defined. The sets in your question are not defined at all. Therefore the best I could do is define all the boolean operations you could perform on 4 sets. Such as:
1. compliment each (4)
2. AND pairs, then tuples, then 4's (intersection) ... (6), (3), (1)
3. OR pairs, then tuples, then 4's (union) ... (6) (3) (1)
Then you can AND and OR combinations of compliments and so forth. But as I said I am not 100% sure of the question as it seems ambiguous to me.
"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675
Last edited by ctbram; 11-02-2011 at 02:38 PM.
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11-02-2011
, 08:18 AM
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Furthermore, the question does not state maximum or minimum number of regions that can be formed. Take case (2) as an example there are 14 regions only because all the subsets intersect. If all four subsets where discrete then there would only be 5 regions and the same four subsets.
This kind of ambiguity is what discrete math is supposed to avoid. The questions and answers are to be so clear as to leave no room for interpretation!
Here is an example ....
An engineer, a physicist, and a mathematician were on a train heading north, and had just crossed the border into Scotland and pass by a field with one black sheep.
The engineer looked out of the window and said "Look! All Scottish sheep are black!"
The physicist said, "No, no, you are wrong. You can only say that some Scottish sheep are black."
The mathematician looking irritated says. "You are both wrong! All that can deduced is - In Scotland, there is at least one field, containing at least one sheep, of which at least one side is black."
"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675
Last edited by ctbram; 11-02-2011 at 08:37 AM.
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4
11-02-2011
, 05:28 PM
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As for your questions... sorry, it's a bit over my head. I could try to give them a shot, but I'd rather write unhelpful remarks. All in good fun.
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11-02-2011
, 06:44 PM
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Jason
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11-02-2011
, 08:40 PM
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I hope you see my point regarding saying "any four subsets of the universal set" possibly containing the the null set and also there is nothing to specify whether the subsets intersect which would change the number of regions. So I am pretty sure I could prove any number of regions from 4 to 14 just depending on if I include the null set and how I chose to intersect the subsets.
"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675
Last edited by ctbram; 11-02-2011 at 08:49 PM.
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17-02-2011
, 10:42 AM
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sorry for the late reply I was without internet all week
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