Principles of Mathematics in Operations Research

188 13 Power Series and Special Functions

our fourth objective function (linear!) is min _3z wz _3i @iz (0"')> where

(^0) iz = log(l - piz) = log(qiz) + \J2j[\og(l -Pji)]xjij. Since we can drop the
constants, \og(qiz), in the objective function, we will have the fifth objective
function as rnin^ wz ^ f 53 -[log(l - Pji)]xji) (0tv), which is not (clearly)
equivalent to the initial objective function in catching the same optimum so-
lution! Where is the flaw?
(0)? = (0')? = (0")? = (0'")? = (<H?

Web material

http://archives.math.utk.edu/visual.calculus/6/power.1/index.html

http://archives.math.utk.edu/visual.calculus/6/series.4/index.html

http://arxiv.org/PS_cache/math-ph/pdf/0402/0402037.pdf

http://calclab.math.tamu.edU/~belmonte/ml52/L/ca/LA4.pdf

http://calclab.math.tamu.edu/~belmonte/ml52/L/ca/LA5.pdf

http://cr.yp.to/2005-261/bender1/IS.pdf

http://education.nebrwesleyan.edu/Research/StudentTeachers/

secfall2001/Serinaldi/Chap*/.209/tsld009.htm

http://en.wikipedia.org/wiki/Power_series

http://en.wikipedia.org/wiki/Trigonometric_function*

Series_definitions

http://en.wikipedia.org/wiki/Wikipedia:WikiProject.Mathematics/

PlanetMath_Exchange/40-XX_Sequences,.series,.summability

http://eom.springer.de/cZc026150.htm

http://eom.springer.de/T/t094210.htm

http://faculty.eicc.edu/bwood/mal55supplemental/

supplementalmal55.html

http://home.att.net/"numericana/answer/analysis.htm

http://kr.cs.ait.ac.th/~radok/math/matll/chap8.htm

http://kr.cs.ait.ac.th/~radok/math/mat6/calc8.htm

http://kr.cs.ait.ac.th/~radok/math/mat6/calc81.htm

http://math.fullerton.edu/mathews/c2003/

ComplexGeometricSeriesMod.html

http://math.fullerton.edu/mathews/n2003/ComplexFunTrigMod.html

http://math.furman.edu/-dcs/book/c5pdf/sec57.pdf

http://math.furman.edu/~dcs/book/c8pdf/sec87.pdf

http://mathworld.wolfram.com/ConvergentSeries.html

http://mathworld.wolfram.com/HarmonicSeries.html

http://mathworld.wolfram.com/PowerSeries.html

http://media.pearsoncmg.com/aw/aw_thomas_calculus_ll/topics/

sequences.htm

http://motherhen.eng.buffalo.edu/MTH142/spring03/lec11.html

http://oregonstate.edu/~peterseb/mth306/docs/306w2005_prob_l.pdf

http://persweb.wabash.edu/facstaff/footer/Courses/Mlll-112/Handouts/