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Sociology Of Law

by: Ernestine Rowe

Sociology Of Law SOCC 140

Ernestine Rowe

GPA 3.83


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Class Notes
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This 1 page Class Notes was uploaded by Ernestine Rowe on Thursday October 22, 2015. The Class Notes belongs to SOCC 140 at University of California - San Diego taught by Staff in Fall. Since its upload, it has received 10 views. For similar materials see /class/226811/socc-140-university-of-california-san-diego in social psychology at University of California - San Diego.

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Date Created: 10/22/15
MaTh 140c WinTer 2009 PracTice Exam 2 The exam will be much shorTer 1 Define and give an example a InTegrable funcTion on a recTangle R in The plane b negligible subseT ACR2 c admissible funcTion fR gtR for a recTangle R in The plane d parTiTion P of a recTangle of size lt 5 e admissible subseT ACR2 f admissible funcTion fR2 gtR g admissible funcTion fA gtR for an admissible seT ACR2 h seT of Lebesgue measure 0 in The plane i don for a differenTial form 0 j pull back or inverse image 003 of differenTial form 0 on V under Cm map GlU gtV for UV open in plane 2 Suppose ThaT gab gtR is conTinuous Show ThaT The graph of g ie The seT xgx I Xe ab is a negligible subseT of R2 3 Suppose ThaT we have a conTinuous funcTion fR gtR for a recTangle R in The plane Show ThaT f is inTegrable on R 4 Suppose ThaT now The funcTion f in The lasT problem has disconTinuiTies aT a negligible subseT of R buT is sTill bounded on R Show ThaT f is sTill inTegrable on R 5 Suppose ThaT A is an admissible subseT of The plane and S is a negligible seT such ThaT we have a disjoinT union AA1USUA2 Show ThaT for an admissible funcTion f on A we have A A1 A2 6 Show ThaT is linear in f for A admissible and f inTegrable A HinT In order To make your life easier wiTh negaTive scalars and To eliminaTe infs and sups from your life use arbiTrar39y Riemann sums raTher Than upper and lower ones Or jusT noTe ThaT if The scalar 0c is negaTive Then UocffocLf There is an error on Lang p 569 relaTed To This 7 Show ThaT ng on A implies S Hg assuming A admissible and fg inTegrable A A 8 LeT R be a recTangle in The plane and f an inTegrable funcTion on R Suppose ThaT for each recTangle SCR we have a number If5 having The following 2 properTies InT1 If J is a parTiTion of R Then IfR ZIfS where The sum is over The S subrecTangles of 9 InTZ If we have numbers mM such ThaT meXSM for all xe R Then m areaSSIfSSM areaS Show Hm IfR R


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