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Page 1: Q o ]/cBc J - math.arizona.edumath.arizona.edu/~dwang/Lecture-notes/lecture-notes(DS)/lec10/Lec… · d Er[a` E d ` egf o ] Gp` e u G Z] d]/e]/c u E b [o ^ E e ^ G] q z ego Gp` f

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Page 2: Q o ]/cBc J - math.arizona.edumath.arizona.edu/~dwang/Lecture-notes/lecture-notes(DS)/lec10/Lec… · d Er[a` E d ` egf o ] Gp` e u G Z] d]/e]/c u E b [o ^ E e ^ G] q z ego Gp` f

dEr[a` E�d � ` egf ` o�] Gp` e u G Z ] G ` G ` d ]/e ]/c u�E b [ ] ` o ^ b�� E o G �e ^ G ] q z ego Gp` ^ e f E�� e E f ^ e e z�t E8[a` o ]/c f ^ t ] ` e d y� G `nd � Z�^}Y E _ E8[ � E ] d � G ^ t ]�� E dWE e dWE ^rq t ]/e �t ] G Z Ert ] Gp` o ]/c ^ �rE8[ ] Gp` ^ e d ^ e G Z E dWEHG ^rq ]/cBc q ^ [ �t ]/c dWE8[a`�E�d�

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Page 3: Q o ]/cBc J - math.arizona.edumath.arizona.edu/~dwang/Lecture-notes/lecture-notes(DS)/lec10/Lec… · d Er[a` E d ` egf o ] Gp` e u G Z] d]/e]/c u E b [o ^ E e ^ G] q z ego Gp` f

J ` _ Q � E o�]/cBc ) � JMLONMPRQ � J IKJ:LON�PRQpN�/J:LON�P8QQ ]q{^ [:t ]/c t ] �/�r` e u y � E d ] � G Z ] G � � JMLON�P8Q �J�� JMLON�P8Q N�� J:LON�PRQQ ` d ]/e ` e _ Er[�dWE ^�q ) J f E e ^ GsE ] d� S ) l�X Q ` q

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Page 6: Q o ]/cBc J - math.arizona.edumath.arizona.edu/~dwang/Lecture-notes/lecture-notes(DS)/lec10/Lec… · d Er[a` E d ` egf o ] Gp` e u G Z] d]/e]/c u E b [o ^ E e ^ G] q z ego Gp` f

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Page 7: Q o ]/cBc J - math.arizona.edumath.arizona.edu/~dwang/Lecture-notes/lecture-notes(DS)/lec10/Lec… · d Er[a` E d ` egf o ] Gp` e u G Z] d]/e]/c u E b [o ^ E e ^ G] q z ego Gp` f

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