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Assume that (X, d) is a metric space and let (x1, : : : , xn) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , xn) obtained by removing every xi from X is open in X. (Sketch a picture to get some intuition!)
A function is an equation for which any x which can be plugged into the equation will yield accurately one y out of the equation. There it is. i.e. the definition of functions w
Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm
what is 24566x12567=
A computer is programmed to scan the digits of the counting numbers.For example,if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits all together. If the comput
The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To
What is the OPEC? - The Organization of the Petroleum Exporting Countries, a coordination group of petrol producers The Organization for Peace and Economic Cooperation, a German le
Define tautology and contradiction. Ans: If a compound proposition comprises two atomic propositions as components, after that the truth table for the compound proposition con
If the lengths of all sides of a box are doubled, how much is the volume increased? a. 2 times b. 4 times c. 6 times d. 8 times d. The volume of a box is taken by mu
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How to solve big unitary sums?
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