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 ) = . 0 sin r cos r . 0 . 0 0 0 1. 8. Wb = n( b )0 V b ( b ).
(az) K (a) (az)I (b) (bz) K (bz)I (a) (az) 13. 4S/ Z dxn smv2 /‘ t(n s=m) d 2xr ˘(‘ t=‘2 P)log(R 0=a 0) ˘‘ t=‘ 2 P 14. H^ = Z dr ~2 2M B r +^+ m r ^ m+ c 0 2 ^+ m ^+ m 1 ^ m 1 ^ m+ c 2 2 ^+ m 1 ^ m 2 F m 1m 4 F m 2m 3 ^ m ^ m 15. d2 ( ) d 2 + 2 1 ( 21) d ( ) d q+ r(1 2 )2 ( 1) ( ) = 0 16. D= det 0 @ D tt 1D tb(Q ) bcD ct D tj D tb(Q ...
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