2010 HiMCM B题特等奖学生论文下载2544
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论文摘要如下:
Restatement ?of ?Problem
The ?purpose ?of ?this ?model ?is ?to ?decrease ?the ?crime ?rate ?relating ?to ?gangs ? and ?violence ?in ?a ?city. ?Although ?the ?crime ?rate ?has ?decreased ?from ?2000--‐2006, ?it ? has ?started ?increasing ?again. ?From ?2006--‐2008, ?the ?incidence ?of ?homicide ? increased ?by ?78%. ?The ?Mayor ?of ?the ?city ?has ?contacted ?us ?to ?find ?a ?model ?to ? decrease ?crime ?rate.
Definitions
Defining ?juvenile ?delinquents ?as ?children ?of ?high ?school ?age ?or ?younger ? (since ?particular ?age ?depends ?on ?the ?US ?state) ?--‐ Defining ?persistently ?low--‐performing ?schools ?as ?high ?schools ?with ?a ? graduation ?rate ?of ?under ?70% ?--‐ All ?costs ?referred ?to ?are ?in ?US ?dollars.
Assumptions
Some ?of ?the ?data ?was ?unclear ?as ?to ?what ?refers ?to ?within ?the ?city ?or ?within ? the ?country, ?so ?we ?had ?to ?make ?some ?assumptions:
--‐ The ?high ?school ?enrollment ?rate ?only ?refers ?to ?high ?schools ?within ?the ? city.
--‐ The ?incidences ?of ?violence ?refer ?only ?to ?those ?that ?occurred ?within ?the ? city.
--‐ That ?there ?was ?a ?disease ?outbreak ?or ?natural ?disaster ?in ?the ?year ?2000 ? seeing ?as ?the ?county ?population ?increased ?from ?2000--‐2008 ?and ?a ?7000 ? person ?drop ?from ?2000
--‐2001 ?seems ?very ?unlikely ?since ?at ?all ?other ?times ? ratio ?of ?city ?to ?county ?population ?growth ?has ?remained ?constant.
--‐ Empirical ?evidence ?shows ?that ?normally ?unemployment ?rate ?correlates ? with ?crime ?rates, ?but ?since ?there ?is ?no ?correlation ?in ?this ?city, ?we ?can ? assume ?that ?most ?of ?the ?crime ?comes ?from ?gangs ?of ?youth.
--‐ This ?city ?is ?in ?the ?United ?States ?and ?hence ?eligible ?for ?federal ?funding.
We ?calculated ?incidence ?of ?violence ?divided ?by ?population ?to ?obtain ?a ?crime ?rate ?rather ?than ?simply ?a ?figure ?with ?the ?number ?of ?incidents ?of ?violence.
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