Research on the Decomposition of the Economic Impact Factors of Air. Pollution in Hubei Province in China

Size: px
Start display at page:

Download "Research on the Decomposition of the Economic Impact Factors of Air. Pollution in Hubei Province in China"

Transcription

1 d raioal Cofrc o ducaio, Maagm ad formaio cholog (CM 5) Rsarch o h Dcomposiio of h coomic mpac Facors of Air olluio i Hubi rovic i Chia Luo Jua, a, Aglia N.lchko, b, H Qiga, c Collg of Mahmaics ad Compur cic, Wuha xil Uivrsi, Wuha, 47, Chia chool of Maagm, Fiac ad formaio sms, vaovo a Uivrsi of Chmisr ad cholog, vaovo, 5, Russia Jiaxig Forig Laguag chool, Jiaxig, 4, Chia a mail: luoua88@6.com, b mail: dr.ilchcko@adx.ru, c mail: 66694@qq.com K words: Grossma dcomposiio modl;air polluio;coomis scal, coomic srucur, chical facors Absrac. Wih h coomic growh, owadas viromal problms i our cour ar bcomig mor ad mor srious, spciall air polluio. his papr, w us h Grossma dcomposiio modl o aalsis h rlaioship amog coomis scal, coomic srucur, chical facors, populaio growh ad idusrial missios hrough h idx daa of 996- i Hubi rovic. h rsuls show ha: h scal ffc ad populaio ffc ar posiiv, which idicas ha h coomic xpasio ad populaio growh will icras h idusrial was missios. h idusrial srucur of h impac of chags i waswar discharg ucrai, idicaig ha w should icras h idusrial srucur adusm. Rducio ffc is gaiv, idicaig ha i is usful o improv miigaio chologis. roducio rc ars, h global virom problm is mor ad mor srious, spciall air polluio. Hubi rovic, a impora provic i cr of Chia, has dvlopd rapidl i hs ars, bu h problm of viromal polluio is mor promi a h sam im, such as haz. his papr, w us coomic ad viromal daa (mail air polluio) of Hubi rovic as a xampl o aalz coomic facors impac o h virom, such as coomic scal, coomic srucur, chological progrss, populaio growh. hrough h daa, w ca g som rsul of various coomic growh facors i h rol of virom coordiaio, ad pu forward sciific advic for coomic susaiabl dvlopm i Hubi provic. 5. h auhors - ublishd b Alais rss 775

2 coomric modls of choic 995, Grossma ad Krugr poid ou ha coomic growh ma affc h virom hrough hr chals, aml h scal ffc, srucur ffc ad cholog ffc; h gav h damic quaios of polluio missios dcomposiio as followd. ( )( ), hr is GD. is h polluas discharg of idusr i priod. is h GD (Or valu addd) i priod. is h idusrial polluio isi, rcordd as. is h proporio of GD i idusr o GD, rcordd as. ca b xprssd as W ak h logarihm ad diffriaio o boh sids, ad h dividd b + + h abov rfrs o h shar of h oal missios of polluas i priod. h firs par o h righ sid of h quaio is scal ffc which rflcs h pr capia icom chags impac o viromal, h scod is populaio ffc, which rflcs chag ra of populaio s impac o h virom, h hird is h srucur ffc, which rflcs h ffc of h idusrial srucur rasformaio o polluio missio, ad h fourh is h rducio ffc. m () ad aaoou () i h paprs also iroducd h Grossma dcomposiio modl, h idusr i accordac wih h hr idusrial srucur divisio, w us h followig modl o carr ou aalsis: hr is GD. is h polluas discharg of idusr i priod. (or valu addd) i priod. is h idusrial polluio isi, rcordd as is h proporio of GD i idusr o GD, rcordd as. is h pr is h GD. 776

3 capia icom.h h abov quaio ca b chagd o: W ak h logarihm ad diffriaio o boh sids, h abov rfrs o h shar of h oal missios of polluas i priod. W ol discuss h dcomposiio ffc of polluas ad discharg chag, ad choos viromal quali idx for idusrial missios, idusrial waswar missios ad idusrial solid was producio. ic hs hr kids of viromal polluio idicaors ol ivolvs h idusrial scor, w choos i h abov formula, h h + + +,,, lcio of facor dcomposiio mhod From h prspciv of mhodolog, facor dcomposiio mhod ca b dividd io rucural Dcomposiio Aalsis(DA) ad dx Dcomposiio Aalsis(DA). his papr, w choos h DA mhod, ad h Divisia idx dcomposiio mhod is h aalical framwork of h rg ad viromal issus. i icluds arihmic ma Divisia idx (AMD) ad logarhmic ma Divisia idx(lmd), h rror of h mhod LMD is small ad v zro, so i is a compl dcomposiio mhod. W us mhod LMD o aalz dcomposiio of idusrial was gas W compu h igral o boh sids, ad us ad o idica h iial missios ad curr missios, h d + d + d + d ordr o solv h igral problm, w us h logarihm fucio as h wigh, h logarihm fucio is x x L( x, ) l l x x x h w g h followig four formulas: l l l l l l l l l 4 l l l 777

4 Whr,,, 4 rspcivl ar coomic scal ffc, populaio growh ffc, idusrial srucur ffc ad rducio ffc: Variabl slcio: W choos h idusrial was missios (ui: millio sadard cubic mrs), umbr of populaio (ui: housad), idusrial producio (ui: a hudrd millio ua) i Hubi provic from 996 o.hs daum ar from Chia saisical arbook ad saisical arbook of Hubi provic. dusrial was gas dcomposiio rsuls ad aalsis W pu h daa io h abov formula ad g abl. Ngaiv valus i h abl show ha corrlaio ffc ad pollua missio i h opposi dircio. abl h ffcs dcomposiio of idusrial was missios ra ar h growh ra of dusrial was gas (%) coomic scal ffc (%) opulaio growh ffc (%) dusrial srucur ffc (%) Rducio ffc (%) W ca s ha h quai of dusrial was gas i Hubi has a ovrall phas characrisics, dcrm ad icrm occur alral. coomis of scal has posiiv ffcs for waswar missios, h impac of populaio ad idusrial srucur is ucrai. Rducio ffc is arl gaiv. coomic growh ca ol icras h siz of pollua missios. 778

5 opulaio growh is also h raso for h icras of dusrial was gas, bu has lil impac. ffcs of idusrial srucur hav flucuad. Wh h idusrial shar of GD riss, i will icras h missios. Whil his proporio falls, i will rduc missios. his shows ha idusrial producio is sill high polluig idusris. Rducio ffc dscribd was gas of pr ui GD rducio i favor of rducig h amou of was gas discharg. Coclusio Firs, h scal ffc ad populaio ffc is posiiv, which idicas ha h coomic xpasio ad populaio growh will icras h idusrial was missios. A prs, w d xpad h producio scal o m h ds from h icrasig populaio, ad Chia s famil plaig polic has ak corol of h birh ra, so i is uralisic o rduc pollua missios from populaio siz ad coomis scal. cod, h idusrial srucur of h impac of chags i waswar discharg ucrai, idicaig ha w should icras h idusrial srucur adusm. Rducio ffc is gaiv, idicaig ha i is usful o improv miigaio chologis Rfrcs [] Xia aqig.aquaiaiv Aalsis o Chia s virom ad coomic Growh. hd dissraio, Dogbi Uivrsi of Fiac ad coomics,. [)]Li Guozhu,h Coordiad Dvlopm of coomic Growh ad virom : a coomric Aalsis, Chia coomic ublishig Hous,7. [] Liu Rui-i, ZHANG zhi-hui.dcomposiio of mpac Facors of dusrial Dus missio i Chia. viromal cic&cholog. Vol. 5, No, (). [4] Huag Jig.viromal olluio ad dusrial rucur: A Aalsis Basdo Divisia dx Dcomposiio Mhod, aisical RsarcVol.6, No, 9(). [5] Zhog igshui.opulaio Rsourc virom coomric, [M], ic rss,

Numerical Simulation for the 2-D Heat Equation with Derivative Boundary Conditions

Numerical Simulation for the 2-D Heat Equation with Derivative Boundary Conditions IOSR Joural of Applid Chmisr IOSR-JAC -ISSN: 78-576.Volum 9 Issu 8 Vr. I Aug. 6 PP 4-8 www.iosrjourals.org Numrical Simulaio for h - Ha Equaio wih rivaiv Boudar Codiios Ima. I. Gorial parm of Mahmaics

More information

Continous system: differential equations

Continous system: differential equations /6/008 Coious sysm: diffrial quaios Drmiisic modls drivaivs isad of (+)-( r( compar ( + ) R( + r ( (0) ( R ( 0 ) ( Dcid wha hav a ffc o h sysm Drmi whhr h paramrs ar posiiv or gaiv, i.. giv growh or rducio

More information

, then the old equilibrium biomass was greater than the new B e. and we want to determine how long it takes for B(t) to reach the value B e.

, then the old equilibrium biomass was greater than the new B e. and we want to determine how long it takes for B(t) to reach the value B e. SURPLUS PRODUCTION (coiud) Trasiio o a Nw Equilibrium Th followig marials ar adapd from lchr (978), o h Rcommdd Radig lis caus () approachs h w quilibrium valu asympoically, i aks a ifii amou of im o acually

More information

1973 AP Calculus BC: Section I

1973 AP Calculus BC: Section I 97 AP Calculus BC: Scio I 9 Mius No Calculaor No: I his amiaio, l dos h aural logarihm of (ha is, logarihm o h bas ).. If f ( ) =, h f ( ) = ( ). ( ) + d = 7 6. If f( ) = +, h h s of valus for which f

More information

( A) ( B) ( C) ( D) ( E)

( A) ( B) ( C) ( D) ( E) d Smsr Fial Exam Worksh x 5x.( NC)If f ( ) d + 7, h 4 f ( ) d is 9x + x 5 6 ( B) ( C) 0 7 ( E) divrg +. (NC) Th ifii sris ak has h parial sum S ( ) for. k Wha is h sum of h sris a? ( B) 0 ( C) ( E) divrgs

More information

Fourier Series: main points

Fourier Series: main points BIOEN 3 Lcur 6 Fourir rasforms Novmbr 9, Fourir Sris: mai pois Ifii sum of sis, cosis, or boh + a a cos( + b si( All frqucis ar igr mulipls of a fudamal frqucy, o F.S. ca rprs ay priodic fucio ha w ca

More information

Chapter 3 Linear Equations of Higher Order (Page # 144)

Chapter 3 Linear Equations of Higher Order (Page # 144) Ma Modr Dirial Equaios Lcur wk 4 Jul 4-8 Dr Firozzama Darm o Mahmaics ad Saisics Arizoa Sa Uivrsi This wk s lcur will covr har ad har 4 Scios 4 har Liar Equaios o Highr Ordr Pag # 44 Scio Iroducio: Scod

More information

Control Systems. Transient and Steady State Response.

Control Systems. Transient and Steady State Response. Corol Sym Trai a Say Sa Ro chibum@oulch.ac.kr Ouli Tim Domai Aalyi orr ym Ui ro Ui ram ro Ui imul ro Chibum L -Soulch Corol Sym Tim Domai Aalyi Afr h mahmaical mol of h ym i obai, aalyi of ym rformac i.

More information

Boyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors

Boyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors Boc/DiPrima 9 h d, Ch.: Linar Equaions; Mhod of Ingraing Facors Elmnar Diffrnial Equaions and Boundar Valu Problms, 9 h diion, b William E. Boc and Richard C. DiPrima, 009 b John Wil & Sons, Inc. A linar

More information

Part B: Transform Methods. Professor E. Ambikairajah UNSW, Australia

Part B: Transform Methods. Professor E. Ambikairajah UNSW, Australia Par B: rasform Mhods Profssor E. Ambikairaah UNSW, Ausralia Chapr : Fourir Rprsaio of Sigal. Fourir Sris. Fourir rasform.3 Ivrs Fourir rasform.4 Propris.4. Frqucy Shif.4. im Shif.4.3 Scalig.4.4 Diffriaio

More information

What Is the Difference between Gamma and Gaussian Distributions?

What Is the Difference between Gamma and Gaussian Distributions? Applid Mahmaics,,, 85-89 hp://ddoiorg/6/am Publishd Oli Fbruary (hp://wwwscirporg/joural/am) Wha Is h Diffrc bw Gamma ad Gaussia Disribuios? iao-li Hu chool of Elcrical Egirig ad Compur cic, Uivrsiy of

More information

ECEN620: Network Theory Broadband Circuit Design Fall 2014

ECEN620: Network Theory Broadband Circuit Design Fall 2014 ECE60: work Thory Broadbad Circui Dig Fall 04 Lcur 6: PLL Trai Bhavior Sam Palrmo Aalog & Mixd-Sigal Cr Txa A&M Uivriy Aoucm, Agda, & Rfrc HW i du oday by 5PM PLL Trackig Rpo Pha Dcor Modl PLL Hold Rag

More information

An Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT

An Indian Journal FULL PAPER. Trade Science Inc. A stage-structured model of a single-species with density-dependent and birth pulses ABSTRACT [Typ x] [Typ x] [Typ x] ISSN : 974-7435 Volum 1 Issu 24 BioTchnology 214 An Indian Journal FULL PAPE BTAIJ, 1(24), 214 [15197-1521] A sag-srucurd modl of a singl-spcis wih dnsiy-dpndn and birh pulss LI

More information

MAT3700. Tutorial Letter 201/2/2016. Mathematics III (Engineering) Semester 2. Department of Mathematical sciences MAT3700/201/2/2016

MAT3700. Tutorial Letter 201/2/2016. Mathematics III (Engineering) Semester 2. Department of Mathematical sciences MAT3700/201/2/2016 MAT3700/0//06 Tuorial Lr 0//06 Mahmaics III (Egirig) MAT3700 Smsr Dparm of Mahmaical scics This uorial lr coais soluios ad aswrs o assigms. BARCODE CONTENTS Pag SOLUTIONS ASSIGNMENT... 3 SOLUTIONS ASSIGNMENT...

More information

Midterm Examination (100 pts)

Midterm Examination (100 pts) Econ 509 Spring 2012 S.L. Parn Midrm Examinaion (100 ps) Par I. 30 poins 1. Dfin h Law of Diminishing Rurns (5 ps.) Incrasing on inpu, call i inpu x, holding all ohr inpus fixd, on vnuall runs ino h siuaion

More information

Comparisons Between RV, ARV and WRV

Comparisons Between RV, ARV and WRV Comparisos Bewee RV, ARV ad WRV Cao Gag,Guo Migyua School of Maageme ad Ecoomics, Tiaji Uiversiy, Tiaji,30007 Absrac: Realized Volailiy (RV) have bee widely used sice i was pu forward by Aderso ad Bollerslev

More information

The Development of Suitable and Well-founded Numerical Methods to Solve Systems of Integro- Differential Equations,

The Development of Suitable and Well-founded Numerical Methods to Solve Systems of Integro- Differential Equations, Shiraz Uivrsiy of Tchology From h SlcdWorks of Habibolla Laifizadh Th Dvlopm of Suiabl ad Wll-foudd Numrical Mhods o Solv Sysms of Igro- Diffrial Equaios, Habibolla Laifizadh, Shiraz Uivrsiy of Tchology

More information

Modeling of Reductive Biodegradation of TCE to ETH. Adam Worsztynowicz, Dorota Rzychon, Sebastian Iwaszenko, Tomasz Siobowicz

Modeling of Reductive Biodegradation of TCE to ETH. Adam Worsztynowicz, Dorota Rzychon, Sebastian Iwaszenko, Tomasz Siobowicz Modlig of Rduciv Biodgradaio of o ETH Adam Worszyowicz, Doroa Rzycho, Sbasia Iwaszo, Tomasz Siobowicz Isiu for Ecology of Idusrial Aras Kossuha S., Kaowic, Polad l. (+-) 5, fax: (+-) 5 7 7 -mail: iu@iu.aowic.pl

More information

Note 6 Frequency Response

Note 6 Frequency Response No 6 Frqucy Rpo Dparm of Mchaical Egirig, Uivriy Of Sakachwa, 57 Campu Driv, Sakaoo, S S7N 59, Caada Dparm of Mchaical Egirig, Uivriy Of Sakachwa, 57 Campu Driv, Sakaoo, S S7N 59, Caada. alyical Exprio

More information

CSE 245: Computer Aided Circuit Simulation and Verification

CSE 245: Computer Aided Circuit Simulation and Verification CSE 45: Compur Aidd Circui Simulaion and Vrificaion Fall 4, Sp 8 Lcur : Dynamic Linar Sysm Oulin Tim Domain Analysis Sa Equaions RLC Nwork Analysis by Taylor Expansion Impuls Rspons in im domain Frquncy

More information

Human Capital, Innovation, and Climate Policy: An Integrated Assessment

Human Capital, Innovation, and Climate Policy: An Integrated Assessment Fodazio Ei Erico Mai Workig Paprs 4-2-2012 Huma Capial Iovaio ad Clima Policy: A Igrad Assssm Carlo Carraro Uivrsiy of Vic Fodazio Erico Mai CEP CESifo ad CMCC carlo.carraro@fm.i Erica Cia Fodazio Erico

More information

Response of LTI Systems to Complex Exponentials

Response of LTI Systems to Complex Exponentials 3 Fourir sris coiuous-im Rspos of LI Sysms o Complx Expoials Ouli Cosidr a LI sysm wih h ui impuls rspos Suppos h ipu sigal is a complx xpoial s x s is a complx umbr, xz zis a complx umbr h or h h w will

More information

Advanced Engineering Mathematics, K.A. Stroud, Dexter J. Booth Engineering Mathematics, H.K. Dass Higher Engineering Mathematics, Dr. B.S.

Advanced Engineering Mathematics, K.A. Stroud, Dexter J. Booth Engineering Mathematics, H.K. Dass Higher Engineering Mathematics, Dr. B.S. Rfrc: (i) (ii) (iii) Advcd Egirig Mhmic, K.A. Sroud, Dxr J. Booh Egirig Mhmic, H.K. D Highr Egirig Mhmic, Dr. B.S. Grwl Th mhod of m Thi coi of h followig xm wih h giv coribuio o h ol. () Mid-rm xm : 3%

More information

AR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 )

AR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 ) AR() Procss Th firs-ordr auorgrssiv procss, AR() is whr is WN(0, σ ) Condiional Man and Varianc of AR() Condiional man: Condiional varianc: ) ( ) ( Ω Ω E E ) var( ) ) ( var( ) var( σ Ω Ω Ω Ω E Auocovarianc

More information

On the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument

On the Derivatives of Bessel and Modified Bessel Functions with Respect to the Order and the Argument Inrnaional Rsarch Journal of Applid Basic Scincs 03 Aailabl onlin a wwwirjabscom ISSN 5-838X / Vol 4 (): 47-433 Scinc Eplorr Publicaions On h Driais of Bssl Modifid Bssl Funcions wih Rspc o h Ordr h Argumn

More information

) and furthermore all X. The definition of the term stationary requires that the distribution fulfills the condition:

) and furthermore all X. The definition of the term stationary requires that the distribution fulfills the condition: Assigm Thomas Aam, Spha Brumm, Haik Lor May 6 h, 3 8 h smsr, 357, 7544, 757 oblm For R b X a raom variabl havig ormal isribuio wih ma µ a variac σ (his is wri as ~ (,) X. by: R a. Is X ) a urhrmor all

More information

Microscopic Flow Characteristics Time Headway - Distribution

Microscopic Flow Characteristics Time Headway - Distribution CE57: Traffic Flow Thory Spring 20 Wk 2 Modling Hadway Disribuion Microscopic Flow Characrisics Tim Hadway - Disribuion Tim Hadway Dfiniion Tim Hadway vrsus Gap Ahmd Abdl-Rahim Civil Enginring Dparmn,

More information

Web-appendix 1: macro to calculate the range of ( ρ, for which R is positive definite

Web-appendix 1: macro to calculate the range of ( ρ, for which R is positive definite Wb-basd Supplmary Marials for Sampl siz cosidraios for GEE aalyss of hr-lvl clusr radomizd rials by Sv Trsra, Big Lu, oh S. Prissr, Tho va Achrbrg, ad Gorg F. Borm Wb-appdix : macro o calcula h rag of

More information

Linear Systems Analysis in the Time Domain

Linear Systems Analysis in the Time Domain Liar Sysms Aalysis i h Tim Domai Firs Ordr Sysms di vl = L, vr = Ri, d di L + Ri = () d R x= i, x& = x+ ( ) L L X() s I() s = = = U() s E() s Ls+ R R L s + R u () = () =, i() = L i () = R R Firs Ordr Sysms

More information

Elementary Differential Equations and Boundary Value Problems

Elementary Differential Equations and Boundary Value Problems Elmnar Diffrnial Equaions and Boundar Valu Problms Boc. & DiPrima 9 h Ediion Chapr : Firs Ordr Diffrnial Equaions 00600 คณ ตศาสตร ว ศวกรรม สาขาว ชาว ศวกรรมคอมพ วเตอร ป การศ กษา /55 ผศ.ดร.อร ญญา ผศ.ดร.สมศ

More information

Mixing time with Coupling

Mixing time with Coupling Mixig im wih Couplig Jihui Li Mig Zhg Saisics Dparm May 7 Goal Iroducio o boudig h mixig im for MCMC wih couplig ad pah couplig Prsig a simpl xampl o illusra h basic ida Noaio M is a Markov chai o fii

More information

Reliability analysis of time - dependent stress - strength system when the number of cycles follows binomial distribution

Reliability analysis of time - dependent stress - strength system when the number of cycles follows binomial distribution raoal Joural of Sascs ad Ssms SSN 97-675 Volum, Numbr 7,. 575-58 sarch da Publcaos h://www.rublcao.com labl aalss of m - dd srss - srgh ssm wh h umbr of ccls follows bomal dsrbuo T.Sumah Umamahswar, N.Swah,

More information

Which dual labour market model should we choose?

Which dual labour market model should we choose? Spmbr 2002 hich dual labour mark modl should w choos? By Mor Skak Dparm of Ecoomics Uivrsiy of Souhr Dmark Campusvj 55, DK-5230 Ods M Pho +45 6550 2111. Fax. +45 6615 8790 mos@sam.sdu.dk Absrac O way o

More information

2 Dirac delta function, modeling of impulse processes. 3 Sine integral function. Exponential integral function

2 Dirac delta function, modeling of impulse processes. 3 Sine integral function. Exponential integral function Chapr VII Spcial Fucios Ocobr 7, 7 479 CHAPTER VII SPECIAL FUNCTIONS Cos: Havisid sp fucio, filr fucio Dirac dla fucio, modlig of impuls procsss 3 Si igral fucio 4 Error fucio 5 Gamma fucio E Epoial igral

More information

A THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER

A THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER A THREE COPARTENT ATHEATICAL ODEL OF LIVER V. An N. Ch. Paabhi Ramacharyulu Faculy of ahmaics, R D collgs, Hanamonda, Warangal, India Dparmn of ahmaics, Naional Insiu of Tchnology, Warangal, India E-ail:

More information

Double Slits in Space and Time

Double Slits in Space and Time Doubl Slis in Sac an Tim Gorg Jons As has bn ror rcnly in h mia, a am l by Grhar Paulus has monsra an inrsing chniqu for ionizing argon aoms by using ulra-shor lasr ulss. Each lasr uls is ffcivly on an

More information

LIMITS OF FUNCTIONS (I)

LIMITS OF FUNCTIONS (I) LIMITS OF FUNCTIO (I ELEMENTARY FUNCTIO: (Elemeary fucios are NOT piecewise fucios Cosa Fucios: f(x k, where k R Polyomials: f(x a + a x + a x + a x + + a x, where a, a,..., a R Raioal Fucios: f(x P (x,

More information

Mathematical Preliminaries for Transforms, Subbands, and Wavelets

Mathematical Preliminaries for Transforms, Subbands, and Wavelets Mahmaical Prlimiaris for rasforms, Subbads, ad Wavls C.M. Liu Prcpual Sigal Procssig Lab Collg of Compur Scic Naioal Chiao-ug Uivrsiy hp://www.csi.cu.du.w/~cmliu/courss/comprssio/ Offic: EC538 (03)5731877

More information

UNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

UNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o

More information

Spring 2006 Process Dynamics, Operations, and Control Lesson 2: Mathematics Review

Spring 2006 Process Dynamics, Operations, and Control Lesson 2: Mathematics Review Spring 6 Procss Dynamics, Opraions, and Conrol.45 Lsson : Mahmaics Rviw. conx and dircion Imagin a sysm ha varis in im; w migh plo is oupu vs. im. A plo migh imply an quaion, and h quaion is usually an

More information

1. Inverse Matrix 4[(3 7) (02)] 1[(0 7) (3 2)] Recall that the inverse of A is equal to:

1. Inverse Matrix 4[(3 7) (02)] 1[(0 7) (3 2)] Recall that the inverse of A is equal to: Rfrncs Brnank, B. and I. Mihov (1998). Masuring monary policy, Quarrly Journal of Economics CXIII, 315-34. Blanchard, O. R. Proi (00). An mpirical characrizaion of h dynamic ffcs of changs in govrnmn spnding

More information

Lecture 4: Laplace Transforms

Lecture 4: Laplace Transforms Lur 4: Lapla Transforms Lapla and rlad ransformaions an b usd o solv diffrnial quaion and o rdu priodi nois in signals and imags. Basially, hy onvr h drivaiv opraions ino mulipliaion, diffrnial quaions

More information

Practice papers A and B, produced by Edexcel in 2009, with mark schemes. Practice Paper A. 5 cosh x 2 sinh x = 11,

Practice papers A and B, produced by Edexcel in 2009, with mark schemes. Practice Paper A. 5 cosh x 2 sinh x = 11, Prai paprs A ad B, produd by Edl i 9, wih mark shms Prai Papr A. Fid h valus of for whih 5 osh sih =, givig your aswrs as aural logarihms. (Toal 6 marks) k. A = k, whr k is a ral osa. 9 (a) Fid valus of

More information

S.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15]

S.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15] S.Y. B.Sc. (IT) : Sm. III Applid Mahmaics Tim : ½ Hrs.] Prlim Qusion Papr Soluion [Marks : 75 Q. Amp h following (an THREE) 3 6 Q.(a) Rduc h mari o normal form and find is rank whr A 3 3 5 3 3 3 6 Ans.:

More information

Institute of Actuaries of India

Institute of Actuaries of India Insiu of Acuaris of India ubjc CT3 Probabiliy and Mahmaical aisics Novmbr Examinaions INDICATIVE OLUTION Pag of IAI CT3 Novmbr ol. a sampl man = 35 sampl sandard dviaion = 36.6 b for = uppr bound = 35+*36.6

More information

1 João Garcia is a Senior Quantitative Analyst at Artesia BC, Helmut Van Ginderen is the head of the Risk

1 João Garcia is a Senior Quantitative Analyst at Artesia BC, Helmut Van Ginderen is the head of the Risk O h Pricig of Crdi Sprad Opios: a wo Facor HW-BK Algorihm João Garcia Hlmu Va Gidr ad Rialdo Garcia 1 his Vrsio: Dc 2 d 2001 4 h Vrsio Summar I his aricl w dscrib wha a crdi sprad opio CSO is ad show a

More information

EEE 303: Signals and Linear Systems

EEE 303: Signals and Linear Systems 33: Sigls d Lir Sysms Orhogoliy bw wo sigls L us pproim fucio f () by fucio () ovr irvl : f ( ) = c( ); h rror i pproimio is, () = f() c () h rgy of rror sigl ovr h irvl [, ] is, { }{ } = f () c () d =

More information

Software Development Cost Model based on NHPP Gompertz Distribution

Software Development Cost Model based on NHPP Gompertz Distribution Idia Joural of Scic ad Tchology, Vol 8(12), DOI: 10.17485/ijs/2015/v8i12/68332, Ju 2015 ISSN (Pri) : 0974-6846 ISSN (Oli) : 0974-5645 Sofwar Dvlopm Cos Modl basd o NHPP Gomprz Disribuio H-Chul Kim 1* ad

More information

Physics 160 Lecture 3. R. Johnson April 6, 2015

Physics 160 Lecture 3. R. Johnson April 6, 2015 Physics 6 Lcur 3 R. Johnson April 6, 5 RC Circui (Low-Pass Filr This is h sam RC circui w lookd a arlir h im doma, bu hr w ar rsd h frquncy rspons. So w pu a s wav sad of a sp funcion. whr R C RC Complx

More information

Calculus BC 2015 Scoring Guidelines

Calculus BC 2015 Scoring Guidelines AP Calculus BC 5 Scorig Guidelies 5 The College Board. College Board, Advaced Placeme Program, AP, AP Ceral, ad he acor logo are regisered rademarks of he College Board. AP Ceral is he official olie home

More information

Chapter4 Time Domain Analysis of Control System

Chapter4 Time Domain Analysis of Control System Chpr4 im Domi Alyi of Corol Sym Rouh biliy cririo Sdy rror ri rpo of h fir-ordr ym ri rpo of h cod-ordr ym im domi prformc pcificio h rliohip bw h prformc pcificio d ym prmr ri rpo of highr-ordr ym Dfiiio

More information

8. Queueing systems. Contents. Simple teletraffic model. Pure queueing system

8. Queueing systems. Contents. Simple teletraffic model. Pure queueing system 8. Quug sysms Cos 8. Quug sysms Rfrshr: Sml lraffc modl Quug dscl M/M/ srvr wag lacs Alcao o ack lvl modllg of daa raffc M/M/ srvrs wag lacs lc8. S-38.45 Iroduco o Tlraffc Thory Srg 5 8. Quug sysms 8.

More information

ELECTROMAGNETIC COMPATIBILITY HANDBOOK 1. Chapter 12: Spectra of Periodic and Aperiodic Signals

ELECTROMAGNETIC COMPATIBILITY HANDBOOK 1. Chapter 12: Spectra of Periodic and Aperiodic Signals ELECTOMAGNETIC COMPATIBILITY HANDBOOK Chapr : Spcra of Priodic ad Apriodic Sigals. Drmi whhr ach of h followig fucios ar priodic. If hy ar priodic, provid hir fudamal frqucy ad priod. a) x 4cos( 5 ) si(

More information

Big O Notation for Time Complexity of Algorithms

Big O Notation for Time Complexity of Algorithms BRONX COMMUNITY COLLEGE of he Ciy Uiversiy of New York DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE CSI 33 Secio E01 Hadou 1 Fall 2014 Sepember 3, 2014 Big O Noaio for Time Complexiy of Algorihms Time

More information

Statistics 3858 : Likelihood Ratio for Exponential Distribution

Statistics 3858 : Likelihood Ratio for Exponential Distribution Statistics 3858 : Liklihood Ratio for Expotial Distributio I ths two xampl th rjctio rjctio rgio is of th form {x : 2 log (Λ(x)) > c} for a appropriat costat c. For a siz α tst, usig Thorm 9.5A w obtai

More information

Boyce/DiPrima 9 th ed, Ch 7.8: Repeated Eigenvalues

Boyce/DiPrima 9 th ed, Ch 7.8: Repeated Eigenvalues Boy/DiPrima 9 h d Ch 7.8: Rpad Eignvalus Elmnary Diffrnial Equaions and Boundary Valu Problms 9 h diion by William E. Boy and Rihard C. DiPrima 9 by John Wily & Sons In. W onsidr again a homognous sysm

More information

Recovery of Valuable Incompletely-Recorded Return- Stroke Current Derivative Signals

Recovery of Valuable Incompletely-Recorded Return- Stroke Current Derivative Signals Rcovry of Valuabl Icomplly-Rcordd Rur- Srok Curr Drivaiv Sigals Lakmii Prra Elcrical ad Compur Egirig Dparm Ryrso Uivrsiy Toroo, Caada lakmii.prra@ryrso.ca Ali M. Hussi Elcrical ad Compur Egirig Dparm

More information

Page 1. Before-After Control-Impact (BACI) Power Analysis For Several Related Populations (With Unknown Variance Matrix) Richard A.

Page 1. Before-After Control-Impact (BACI) Power Analysis For Several Related Populations (With Unknown Variance Matrix) Richard A. Pag Bfor-Afr Corol-Impac (BACI) Powr Aalysis For Svral Rlad Populaios (Wih Ukow Variac Marix) Richard A. Hirichs Spmbr 0, 00 Cava: This xprimal dsig ool is a idalizd powr aalysis buil upo svral simplifyig

More information

Poisson Arrival Process

Poisson Arrival Process 1 Poisso Arrival Procss Arrivals occur i) i a mmorylss mar ii) [ o arrival durig Δ ] = λδ + ( Δ ) P o [ o arrival durig Δ ] = 1 λδ + ( Δ ) P o P j arrivals durig Δ = o Δ for j = 2,3, ( ) o Δ whr lim =

More information

2.1. Differential Equations and Solutions #3, 4, 17, 20, 24, 35

2.1. Differential Equations and Solutions #3, 4, 17, 20, 24, 35 MATH 5 PS # Summr 00.. Diffrnial Equaions and Soluions PS.# Show ha ()C #, 4, 7, 0, 4, 5 ( / ) is a gnral soluion of h diffrnial quaion. Us a compur or calculaor o skch h soluions for h givn valus of h

More information

Right Angle Trigonometry

Right Angle Trigonometry Righ gl Trigoomry I. si Fs d Dfiiios. Righ gl gl msurig 90. Srigh gl gl msurig 80. u gl gl msurig w 0 d 90 4. omplmry gls wo gls whos sum is 90 5. Supplmry gls wo gls whos sum is 80 6. Righ rigl rigl wih

More information

The geometry of surfaces contact

The geometry of surfaces contact Applid ad ompuaioal Mchaics (007 647-656 h gomry of surfacs coac J. Sigl a * J. Švíglr a a Faculy of Applid Scics UWB i Pils Uivrzií 0 00 Pils zch public civd 0 Spmbr 007; rcivd i rvisd form 0 Ocobr 007

More information

ECE351: Signals and Systems I. Thinh Nguyen

ECE351: Signals and Systems I. Thinh Nguyen ECE35: Sigals ad Sysms I Thih Nguy FudamalsofSigalsadSysms x Fudamals of Sigals ad Sysms co. Fudamals of Sigals ad Sysms co. x x] Classificaio of sigals Classificaio of sigals co. x] x x] =xt s =x

More information

On the Existence and uniqueness for solution of system Fractional Differential Equations

On the Existence and uniqueness for solution of system Fractional Differential Equations OSR Jourl o Mhms OSR-JM SSN: 78-578. Volum 4 ssu 3 Nov. - D. PP -5 www.osrjourls.org O h Es d uquss or soluo o ssm rol Drl Equos Mh Ad Al-Wh Dprm o Appld S Uvrs o holog Bghdd- rq Asr: hs ppr w d horm o

More information

z 1+ 3 z = Π n =1 z f() z = n e - z = ( 1-z) e z e n z z 1- n = ( 1-z/2) 1+ 2n z e 2n e n -1 ( 1-z )/2 e 2n-1 1-2n -1 1 () z

z 1+ 3 z = Π n =1 z f() z = n e - z = ( 1-z) e z e n z z 1- n = ( 1-z/2) 1+ 2n z e 2n e n -1 ( 1-z )/2 e 2n-1 1-2n -1 1 () z Sris Expasio of Rciprocal of Gamma Fuctio. Fuctios with Itgrs as Roots Fuctio f with gativ itgrs as roots ca b dscribd as follows. f() Howvr, this ifiit product divrgs. That is, such a fuctio caot xist

More information

High Speed Rail Transport Valuation

High Speed Rail Transport Valuation High Spd Rail Traspor Valuaio Pdro Migul Piml Uivrsiy of h Azors Busiss ad coomics Dparm, CAplA, R. Mã d Dus, 95 Poa Dlgada, Porugal, ppiml@os.uac.p José Azvdo-Prira ISG Uivrsidad Técica d Lisboa Dparm

More information

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -

More information

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is 39 Anohr quival dfiniion of h Fri vlociy is pf vf (6.4) If h rgy is a quadraic funcion of k H k L, hs wo dfiniions ar idical. If is NOT a quadraic funcion of k (which could happ as will b discussd in h

More information

MEM 355 Performance Enhancement of Dynamical Systems A First Control Problem - Cruise Control

MEM 355 Performance Enhancement of Dynamical Systems A First Control Problem - Cruise Control MEM 355 Prformanc Enhancmn of Dynamical Sysms A Firs Conrol Problm - Cruis Conrol Harry G. Kwany Darmn of Mchanical Enginring & Mchanics Drxl Univrsiy Cruis Conrol ( ) mv = F mg sinθ cv v +.2v= u 9.8θ

More information

Samuel Sindayigaya 1, Nyongesa L. Kennedy 2, Adu A.M. Wasike 3

Samuel Sindayigaya 1, Nyongesa L. Kennedy 2, Adu A.M. Wasike 3 Ieraioal Joural of Saisics ad Aalysis. ISSN 48-9959 Volume 6, Number (6, pp. -8 Research Idia Publicaios hp://www.ripublicaio.com The Populaio Mea ad is Variace i he Presece of Geocide for a Simple Birh-Deah-

More information

Economics 8723 Macroeconomic Theory Problem Set 2 Professor Sanjay Chugh Spring 2017

Economics 8723 Macroeconomic Theory Problem Set 2 Professor Sanjay Chugh Spring 2017 Deparme of Ecoomics The Ohio Sae Uiversiy Ecoomics 8723 Macroecoomic Theory Problem Se 2 Professor Sajay Chugh Sprig 207 Labor Icome Taxes, Nash-Bargaied Wages, ad Proporioally-Bargaied Wages. I a ecoomy

More information

WORKING PAPER SERIES. High Speed Rail Transport Valuation. CEEAplA WP No. 14/2008. Pedro Pimentel José Azevedo-Pereira Gualter Couto.

WORKING PAPER SERIES. High Speed Rail Transport Valuation. CEEAplA WP No. 14/2008. Pedro Pimentel José Azevedo-Pereira Gualter Couto. WORKING PAPR SRIS CAplA WP No. 4/8 High Spd Rail Traspor Valuaio Pdro Piml José Azvdo-Prira Gualr Couo Novmbr 8 Uivrsidad dos Açors Uivrsidad da Madira High Spd Rail Traspor Valuaio Pdro Piml Uivrsidad

More information

Intrinsic formulation for elastic line deformed on a surface by an external field in the pseudo-galilean space 3. Nevin Gürbüz

Intrinsic formulation for elastic line deformed on a surface by an external field in the pseudo-galilean space 3. Nevin Gürbüz risic formuaio for asic i form o a surfac by a xra fi i h psuo-aia spac Nvi ürbüz Eskişhir Osmaazi Uivrsiy Mahmaics a Compur Scics Dparm urbuz@ouur Absrac: his papr w riv irisic formuaio for asic i form

More information

EXERCISE - 01 CHECK YOUR GRASP

EXERCISE - 01 CHECK YOUR GRASP DIFFERENTIAL EQUATION EXERCISE - CHECK YOUR GRASP 7. m hn D() m m, D () m m. hn givn D () m m D D D + m m m m m m + m m m m + ( m ) (m ) (m ) (m + ) m,, Hnc numbr of valus of mn will b. n ( ) + c sinc

More information

5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t

5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t AP CALCULUS FINAL UNIT WORKSHEETS ACCELERATION, VELOCTIY AND POSITION In problms -, drmin h posiion funcion, (), from h givn informaion.. v (), () = 5. v ()5, () = b g. a (), v() =, () = -. a (), v() =

More information

Charging of capacitor through inductor and resistor

Charging of capacitor through inductor and resistor cur 4&: R circui harging of capacior hrough inducor and rsisor us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R, an inducor of inducanc and a y K in sris.

More information

15. Numerical Methods

15. Numerical Methods S K Modal' 5. Numrical Mhod. Th quaio + 4 4 i o b olvd uig h Nwo-Rapho mhod. If i ak a h iiial approimaio of h oluio, h h approimaio uig hi mhod will b [EC: GATE-7].(a (a (b 4 Nwo-Rapho iraio chm i f(

More information

Midterm exam 2, April 7, 2009 (solutions)

Midterm exam 2, April 7, 2009 (solutions) Univrsiy of Pnnsylvania Dparmn of Mahmaics Mah 26 Honors Calculus II Spring Smsr 29 Prof Grassi, TA Ashr Aul Midrm xam 2, April 7, 29 (soluions) 1 Wri a basis for h spac of pairs (u, v) of smooh funcions

More information

EXERCISE - 01 CHECK YOUR GRASP

EXERCISE - 01 CHECK YOUR GRASP DEFNTE NTEGRATON EXERCSE - CHECK YOUR GRASP. ( ) d [ ] d [ ] d d ƒ( ) ƒ '( ) [ ] [ ] 8 5. ( cos )( c)d 8 ( cos )( c)d + 8 ( cos )( c) d 8 ( cos )( c) d sic + cos 8 is lwys posiiv f() d ( > ) ms f() is

More information

F.Y. Diploma : Sem. II [AE/CH/FG/ME/PT/PG] Applied Mathematics

F.Y. Diploma : Sem. II [AE/CH/FG/ME/PT/PG] Applied Mathematics F.Y. Diploma : Sem. II [AE/CH/FG/ME/PT/PG] Applied Mahemaics Prelim Quesio Paper Soluio Q. Aemp ay FIVE of he followig : [0] Q.(a) Defie Eve ad odd fucios. [] As.: A fucio f() is said o be eve fucio if

More information

Chapter 2 The Poisson Process

Chapter 2 The Poisson Process Chapr 2 Th oisso rocss 2. Expoial ad oisso disribuios 2... Th Birh Modl I scods, a oal of popl ar bor. Sarig a ay poi i im, wha is h waiig im for h firs birh? I milliscods, a oal of lpho calls arriv a

More information

Ideal Amplifier/Attenuator. Memoryless. where k is some real constant. Integrator. System with memory

Ideal Amplifier/Attenuator. Memoryless. where k is some real constant. Integrator. System with memory Liear Time-Ivaria Sysems (LTI Sysems) Oulie Basic Sysem Properies Memoryless ad sysems wih memory (saic or dyamic) Causal ad o-causal sysems (Causaliy) Liear ad o-liear sysems (Lieariy) Sable ad o-sable

More information

t + t sin t t cos t sin t. t cos t sin t dt t 2 = exp 2 log t log(t cos t sin t) = Multiplying by this factor and then integrating, we conclude that

t + t sin t t cos t sin t. t cos t sin t dt t 2 = exp 2 log t log(t cos t sin t) = Multiplying by this factor and then integrating, we conclude that ODEs, Homework #4 Soluions. Check ha y ( = is a soluion of he second-order ODE ( cos sin y + y sin y sin = 0 and hen use his fac o find all soluions of he ODE. When y =, we have y = and also y = 0, so

More information

Lecture 1: Growth and decay of current in RL circuit. Growth of current in LR Circuit. D.K.Pandey

Lecture 1: Growth and decay of current in RL circuit. Growth of current in LR Circuit. D.K.Pandey cur : Growh and dcay of currn in circui Growh of currn in Circui us considr an inducor of slf inducanc is conncd o a DC sourc of.m.f. E hrough a rsisr of rsisanc and a ky K in sris. Whn h ky K is swichd

More information

Improved Exponential Estimator for Population Variance Using Two Auxiliary Variables

Improved Exponential Estimator for Population Variance Using Two Auxiliary Variables Improvd Epoal Emaor for Populao Varac Ug Two Aular Varabl Rajh gh Dparm of ac,baara Hdu Uvr(U.P., Ida (rgha@ahoo.com Pakaj Chauha ad rmala awa chool of ac, DAVV, Idor (M.P., Ida Flor maradach Dparm of

More information

1. Mathematical tools which make your life much simpler 1.1. Useful approximation formula using a natural logarithm

1. Mathematical tools which make your life much simpler 1.1. Useful approximation formula using a natural logarithm . Mhmicl ools which mk you lif much simpl.. Usful ppoimio fomul usig ul logihm I his chp, I ps svl mhmicl ools, which qui usful i dlig wih im-sis d. A im-sis is squc of vibls smpd by im. As mpl of ul l

More information

46. Let y = ln r. Then dy = dr, and so. = [ sin (ln r) cos (ln r)

46. Let y = ln r. Then dy = dr, and so. = [ sin (ln r) cos (ln r) 98 Scion 7.. L w. Thn dw d, so d dw w dw. sin d (sin w)( wdw) w sin w dw L u w dv sin w dw du dw v cos w w sin w dw w cos w + cos w dw w cos w+ sin w+ sin d wsin wdw w cos w+ sin w+ cos + sin +. L w +

More information

3.1 Atomic Structure and The Periodic Table

3.1 Atomic Structure and The Periodic Table Sav My Exams! Th Hom of Rvisio For mor awsom GSE ad lvl rsourcs, visit us at www.savmyxams.co.uk/ 3. tomic Structur ad Th Priodic Tabl Qustio Par Lvl IGSE Subjct hmistry (060) Exam oard ambridg Itratioal

More information

Ring of Large Number Mutually Coupled Oscillators Periodic Solutions

Ring of Large Number Mutually Coupled Oscillators Periodic Solutions Iraioal Joural of horical ad Mahmaical Physics 4, 4(6: 5-9 DOI: 59/jijmp446 Rig of arg Numbr Muually Coupld Oscillaors Priodic Soluios Vasil G Aglov,*, Dafika z Aglova Dparm Nam of Mahmaics, Uivrsiy of

More information

A Condition for Stability in an SIR Age Structured Disease Model with Decreasing Survival Rate

A Condition for Stability in an SIR Age Structured Disease Model with Decreasing Survival Rate A Condiion for abiliy in an I Ag rucurd Disas Modl wih Dcrasing urvival a A.K. upriana, Edy owono Dparmn of Mahmaics, Univrsias Padjadjaran, km Bandung-umng 45363, Indonsia fax: 6--7794696, mail: asupria@yahoo.com.au;

More information

An Introduction to Asymptotic Expansions

An Introduction to Asymptotic Expansions A Itroductio to Asmptotic Expasios R. Shaar Subramaia Asmptotic xpasios ar usd i aalsis to dscrib th bhavior of a fuctio i a limitig situatio. Wh a fuctio ( x, dpds o a small paramtr, ad th solutio of

More information

CHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano

CHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano Expcaions: Th Basic Prpard by: Frnando Quijano and Yvonn Quijano CHAPTER CHAPTER14 2006 Prnic Hall Businss Publishing Macroconomics, 4/ Olivir Blanchard 14-1 Today s Lcur Chapr 14:Expcaions: Th Basic Th

More information

ON H-TRICHOTOMY IN BANACH SPACES

ON H-TRICHOTOMY IN BANACH SPACES CODRUTA STOICA IHAIL EGA O H-TRICHOTOY I BAACH SPACES Absrac: I his papr w mphasiz h oio of skw-oluio smiflows cosidrd a gralizaio of smigroups oluio opraors ad skw-produc smiflows which aris i h sabiliy

More information

Methodology for Analyzing State Tax Policy By Orphe Pierre Divounguy, PhD, Revised by Andrew J. Kidd, PhD (May 2018)

Methodology for Analyzing State Tax Policy By Orphe Pierre Divounguy, PhD, Revised by Andrew J. Kidd, PhD (May 2018) Mhodology for Analyzing Sa Tax Policy By Orph Pirr Divounguy, PhD, Rvisd by Andrw J. Kidd, PhD (May 2018) Inroducion To analyz how changs o ax policy impacs no only govrnmn rvnus bu also conomic aciviy

More information

Chap 2: Reliability and Availability Models

Chap 2: Reliability and Availability Models Chap : lably ad valably Modls lably = prob{s s fully fucog [,]} Suppos from [,] m prod, w masur ou of N compos, of whch N : # of compos oprag corrcly a m N f : # of compos whch hav fald a m rlably of h

More information

Fourier Techniques Chapters 2 & 3, Part I

Fourier Techniques Chapters 2 & 3, Part I Fourir chiqus Chaprs & 3, Par I Dr. Yu Q. Shi Dp o Elcrical & Compur Egirig Nw Jrsy Isiu o chology Email: shi@i.du usd or h cours: , 4 h Ediio, Lahi ad Dog, Oord

More information

EEC 483 Computer Organization

EEC 483 Computer Organization EEC 8 Compuer Orgaizaio Chaper. Overview of Pipeliig Chau Yu Laudry Example Laudry Example A, Bria, Cahy, Dave each have oe load of clohe o wah, dry, ad fold Waher ake 0 miue A B C D Dryer ake 0 miue Folder

More information

XV Exponential and Logarithmic Functions

XV Exponential and Logarithmic Functions MATHEMATICS 0-0-RE Dirnial Calculus Marin Huard Winr 08 XV Eponnial and Logarihmic Funcions. Skch h graph o h givn uncions and sa h domain and rang. d) ) ) log. Whn Sarah was born, hr parns placd $000

More information

The analysis of the method on the one variable function s limit Ke Wu

The analysis of the method on the one variable function s limit Ke Wu Ieraioal Coferece o Advaces i Mechaical Egieerig ad Idusrial Iformaics (AMEII 5) The aalysis of he mehod o he oe variable fucio s i Ke Wu Deparme of Mahemaics ad Saisics Zaozhuag Uiversiy Zaozhuag 776

More information

The Impact of Separate Processes on Asset Pricing

The Impact of Separate Processes on Asset Pricing Th Impac o Spara Procsss o Ass Pricig DECISION SCIENCES INSTITUTE Th impac o spara procsss o aggrga dividds ad cosumpio o ass pricig wih a ails (Full Papr Submissio) Jacky So Uivrsiy o Macau Uivrsiy o

More information