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I xyx i cxg. Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more. A _ S t X y X ̐V E C x g Љ B L y j X A ȏ 𐏎 f ڒ B A _ S t X y X @UNDER GOLF SPACE ` c J i p 5 E V 10 j ̃S t X N ł B ꂩ S t n ߂ ł S I Ԃ ł v I3 ŃR X f r ڎw ܂ B y S t b X u A _ S t X y X v ւ̂ ⍇ ͂ 炩 ǂ B. 4 1 01 4 01 cos , lim (c ) (c ) cos 1331 n b i i i i a n i y x y x A g c x g c dx A x x dx A ﾮ ﾮ == = = ﾮ= ﾮ = = ﾮ ﾮ ﾮ V 18 Sketch and estimate the area determined by the intersection of the curves 2 1 1565 2 0138 ln, 2 lim (c ) (c ) ln (2) 1124 n b i i i i a n i y x y x A g c x g c dx A x x.

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F B Y j h ɍs o ^ C z C g f ȂǁA ؂Ȑl Ɖ߂ @ Ȃ G ߁B 傫 Ȉ ɕ ܂ꂽ ~ ̃p N ŁA ̃Q X g S ܂ L O ߂ ܂ B ͌ t ɂł Ȃ z A f B Y j ̖ @ ̗͂ ؂ Ă Ɠ` ꂽ ͂ B Q X g ̒ I ΂ꂽ J b v Q u X E B g n g E } X v A u B b V I ̃X y V o W u u B b V I ` X y ` A ` v J ÁB. (6) Show that if X is connected, then any continuous map f X !Y where Y is a topological space with discrete topology is a constant map, ie f(X) = fygfor some y 2Y Solution If f(X) has more than one element, then since Y has the discrete topology, f(X) is disconnected Since the image of a connected space must be connected, we have a con. The area contained by both circles is the joint entropy H(X,Y) The circle on the left (red and violet) is the individual entropy H(X), with the red being the conditional entropy H(XY) The circle on the right (blue and violet) is H(Y), with the blue being H(YX) The violet is the mutual information I(X;Y).

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