What if union of disjoint sets results in universal set?
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I have a question related to set theory. If $A_1,A_2,A_3\dots, A_n$ belongs to universal set $U$, and if all of the sets are disjoint i.e. $A_i \cap A_j = \emptyset$ for all $i$ and $j$. And If their union equals to Universal set i.e. $A_1 \cup A_2 \cup \dots A_n = U $ = Universal set. What is such situation called?
Answer:
If every $A_i$ is nonempty, you have described a partition of the set $U$. The definition holds for...
Pruthviraj Chauhan at Mathematics Mark as irrelevant Undo
Other solutions
I need to write a C++ program that does the following: In the mathematical theory of sets, a set is defined as a collection of distinct (no two alike) items of the same type. In some programming languages, sets are a built-in data type. C++ does not...
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Hi, OK, I assume selectionsort and give you that for free. Enclosed are 3 files-- put them in the same...
fert-ga at Google Answers Mark as irrelevant Undo
Hi! I'm a 12th grade Student. My essay is about the Reconstruction Period. What do u think of it? How much do u rate it from 1-100? Are there any errors? What are they? Thank you so Much! Reconstruction was the process in U.S. history from 1865-1877...
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this is a perfect example on how you should use yahoo answers. this 12 year old student instead of let...
US Cutie at Yahoo! Answers Mark as irrelevant Undo
Problems 10-2: Mergeable heaps using linked lists A mergeable heap supports the following operations: MAKE-HEAP (which creates an empty mergeable heap), INSERT, MINIMUM, EXTRACT-MIN, and UNION.[1] Show how to implement mergeable heaps using linked lists...
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This is the category for Yahoo! 360 profile pages not the Xbox 360 game unit. You might want to either...
mohammad a at Yahoo! Answers Mark as irrelevant Undo
I have read much on the issue and I am convinced that the people who hate America today also hated America 20 years ago. Obviously younger generations will learn their hatred of America from their parents, teachers and the spiteful media. - I posted...
Answer:
Of coarse the haters have always been there. We can't even get a consensus from our closest ally, the...
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Specifically, is there a way to maintain disjoint intervals of integers from 1 to N, while being able to support the following operations in constant time? Union: Merge two adjacent intervals. Find: Determine which interval a specified integer is in.
Answer:
This 1989 paper notes that there exists an amortized constant-time algorithm for the interval union...
Johnny Ho at Quora Mark as irrelevant Undo
The interior Ǻ of a set A is the union of all open sets included in A a) prove that, for any set A, its interior Ǻ is open. b) prove that, for any set A, we have Ǻ ⊆ L(A) Please explain :)
Answer:
a) To prove this, we need to show that for any a in int(A), there is an open set S such that a is in...
May at Yahoo! Answers Mark as irrelevant Undo
Answer:
As A1, A2, etc., are countable, there exist injective functions f1:A1→N, f2:A2→N, etc. Then...
questiongirl at Yahoo! Answers Mark as irrelevant Undo
Answer:
Union just means, write down the set containing all the elements from either of the sets. Intersection...
Dennis at Yahoo! Answers Mark as irrelevant Undo
I'm completely lost in my computer science class. For my current assignment, I have to create methods for a program utilizing the Set class. These are the methods I need to complete: Set create(int maxsize): Creates a new Set with the specified maximum...
Answer:
Obviously you do not read any of your given documentation, since you are just trying to implement a...
ladeedah at Yahoo! Answers Mark as irrelevant Undo
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