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Because there are too many possibilities for the open covering. For a compact set, any family of open sets that covers can be replaced by a finite subfamily of open sets that still covers. Hence the open sets can't be too small.
Without compactness, the open sets can be quite small. For example, the infinite family of intervals (1/(n+1), 1/(n-1)) covers the open bounded set (0,1). (Here n is any integer larger than 1.) No subfamily will cover (0,1), and since the sets have radius going to zero, the Lebesgue number would also have to be zero.
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What shows the number on the number line is not a member of the solution set?
open circle menas it is not part of the solution set and closed circle means that it is part of the solution
What is a math number model?
Math number models are tools used to develop computational strategies. Number models are often shown using physical representations such as: Base10 blocks, Ten Frames, Open Number Lines or a Number Grid amongst others. Using these models teachers can demonstrate various strategies such as "doubles". The problem 12+13 can be thought of as a "double" of 10 then 3+2
Make a flowchart that will determine if the given number is positive or negative?
There are many software programs that will allow a person to make a flowchart to determine if the number is positive or negative. The person could use Open Office, Microsoft Word, Microsoft PowerPoint, or Microsoft Excel.
How do you complete level 35 on 100 Floors?
First tap on the plug that isn't in the outlet, in order to plug it in. The big 88 will appear. Each little piece of the number appears and disappears if you tap on it. Change the number to 35 (the floor number). Once you do that, the elevator doors will open. remove the lines on the numbers until you make a digital 35 on the doors
What is 4.54 to the nearest whole number?
When rounding 4.54 to the nearest whole number, you look at the digit in the tenths place, which is 5 in this case. Since 5 is equal to or greater than 5, you round the whole number up. Therefore, 4.54 rounded to the nearest whole number is 5.
What number of open clusters have been discovered in the Milky Way?
More than 1,100 open clusters have been discovered within the Milky Way Galaxy and many more are thought to exist.
If a polygon is open does the open side count as 2 sides?
To answer your question first here is the definition of polygon "a closed plane figure bounded by straight sides " So it makes no sense to count the sides in an open polygon since it is really not a polygon.
Is open international university of colombo exist?
yes
What is Oi in commodity trading?
OI is Open Interest. This refers to how many open contracts exist.
What happen if you try to open a file for reading that doesn't exist?
If the file doesn't exist, a warning to that effect will appear on the screen. The non-existent file will, naturally, fail to open.
Will there be an Open Season 4 video game?
No, because the games Open Seaon 2 and 3 don't exist.
How many stereoisomers of an aldotetrose can exist?
Aldotetroses have 2^n stereoisomers, where n is the number of chiral centers. In the case of an aldotetrose, with 4 chiral centers, there can exist 2^4 = 16 stereoisomers.
Is there going to be an open season 3 video game?
No, it doesn't exist.
What number open in kalyan?
Open
When does the treasure hunt open up on nicktropolis?
nicktropolis doesn't even exist anymore
Where can I find an open city mod for the imperial city in Oblivion?
You can't, it doesn't exist.
Why does the boyne valley exist?
Because it was underground tombs that shifted up into the open air
