Transcription of mathpix
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Example: quiz answers
mathpix
Please use the Snipping Tool ( ) on one single equation at a time! Performance is highest when the images are well zoomed in. 0. 1 (x )2. f (x) = e 2 2. 2 x 1. L(q) = Eq( ) [log p( )] + Eq( ) [log p( )] + Eq(z)q( ) [log p(z| )]. 2.. X p(x). H(Y |X) = p(x, y) log x X ,y Y. p(x, y). 3. ct0.. 0 0 ct x0 0 0 x . 0 = . y 0 0 1 0 y . 0. z 0 0 0 1 z 4. p B = D pq q D pq q R . pq q , Ap = 0. 5.. se2 F (1 F ) (1 + F )(1 + Av F ) (2 F )(1 + A 1 v 1 F ). Z. (I) dv = . 12 2 |m| 1 v v 1 Av F + 2 + A 1 v 1 F. 6.. 2 1 x Y 1 exp( 2 (n + 1)). (x) = [1 e ]. n=0. 1 exp( 2 (x + n)). 7.. 1 0 0 0. 0 cos r sin r 0 . Tx ( r ) =.
P + = jh+j ij2 = h+j ih+j i = h j+ih+j i = h jP +j i 19. Z sechudu= sin 1(tanhu) or 2tan 1 eu 2. 20. P(e) = 1 2 P(ejs 0) + 1 2 P(ejs 1) = 1 2 Z 1 1 2 A p T p(rjs 0)dr+ 1 2 Z 1 2 A p T 1 p(rjs 1)dr 21. W(x;C) = P exp[i Z 1 0 d˝(q A (x+ ˘(˝)) + q?iXi(x+ ˘(˝)))] 22. = 1 2 h[A;B]g | {z } purely imaginary + 1 2 hf A; Bg | {z } purely real 23 ...
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