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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!)
Properties of Logarithms 1. log a xy = log a x + log a y 2. = log a x - log a y 3. log a x n = n log
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Demonstrate that Dijkstra's algorithm does not necessarily work if some of the costs are negative by finding a digraph with negative costs (but no negative cost dicircuits) for whi
If a+b+c = 3a , then cotB/2 cotC/2 is equal to
We know that the terms in an A.P. are given by a, a + d, a + 2d, a + 3d, ........ a + (n - 2)d, a + (n - 1)d The sum of all t
The product of -7ab and +3ab is (-7 x 3) a 2 b 2 = -21a 2 b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having
State clearly that the current in an RLC circuit with an AC source with and without the use of complex variables
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the silo from first princ
Advantages And Limitations Of Game Theory Advantage Game theory assists us to learn how to approach and understand a conflict condition and to develop the decision making
a) Write a summary on Tower of Hanoi Problem. How can it be solved using recursion ? b) Amit goes to a grocery shop and purchases grocery for Rs. 23.
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