Programming Languages CRN Test 1 Version 1 CMSC 4023 Autumn 2013

Size: px
Start display at page:

Download "Programming Languages CRN Test 1 Version 1 CMSC 4023 Autumn 2013"

Transcription

1 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn Wri your nam on your scanron in h spac labld NAME. 2. Wri CMSC 4023 in h spac labld SUBJECT. 3. Prin h s numbr and vrsion, T1/V1, in h spac labld TEST NO. 4. Wri h da, , in h spac labld DATE. 5. Wri your CRN numbr, 12105, in h spac labld PERIOD. 6. This is a closd-book xaminaion. No rrnc marials ar prmid. No nos ar prmid. 7. You may no consul your nighbors, collagus, or llow sudns o answr h qusions on his s. 8. Cllular phons ar prohibid. Th possssor o a cllular phon will rciv a zro (0) i h phon rings or is visibl during h s. 9. Mark h bs slcion ha saisis h qusion. I slcion b is br ha slcions a and d, hn mark slcion b. Mark only on slcion. 10. Darkn your slcions complly. Mak a havy black mark ha complly ills your slcion. 11. Answr all 25 qusions. 12. Rcord your answrs on SCANTRON orm 882-E (I is grn!) 1

2 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn (p. 2-3.) Which o h ollowing is NOT a rason or sudying concps o programming languags according o Sbsa? a. Incrasd capaciy o xprss idas. b. Improvd background or choosing appropria languags. c. Incrasd abiliy o dsign nw languags. d. Incrasd abiliy o larn nw languags. 2. (p. 5-6.) Wha programming languag has dominad sciniic compuing ovr h pas 50 yars? a. FORTRAN b. ALGOL c. SNOBOL d. PL/I 3. (p. 6.) Wha programming languag has dominad ariicial inllignc ovr h pas 50 yars? a. Prolog b. Schm c. C d. LISP 4. (p. 7) Wha maning dos Sbsa giv o h languag valuaion cririon radabiliy? a. Th programming languag prsns no challngs o b rad by a machin. b. A program ha is asily rad is on in which programs ar asily mainaind. c. Th programming languag has consrucs ha suppord all aras o applicaion. d. Th programming languag has uniqu opraors or ach yp and subyp. 5. (p 36)Th irs programmr was a. Ada Lovlac b. Konrad Zus c. Grac Hoppr d. John von Numann 6. (p ) Slc h bs diniion o orhogonaliy in h conx o programming languag criria. a. Orhogonaliy mans ha ach opraor is prcisly dind or a s o valid oprand yps. b. Orhogonaliy mans ha ach opraor is dind or all oprand yps. c. Orhogonaliy mans ha ach opraor corcs h yps o invalid oprands o valid yps. d. Ohogonaliy mans ha ach opraor is valid only or a singl yp. 2

3 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn (p. 11) Wha languag usd orhogonaliy as a primary dsign cririon? a. ALGOL 68. b. VAX assmbly languag c. LISP d. Modula-2 8. (p. 8) Which o h ollowing is no a programming languag valuaion criria according o Sbsa? a. synax dsign b. xprssiviy c. rsricd aliasing d. yp dsign 9. (p. 7) In wha languag is UNIX wrin? a. B b. C c. C++ d. Java 10. (p. 19) Wha has bn h srongs inlunc on programming languag dsign ovr h pas 50 yars? a. impraiv programming mhodology b. h von Numann archicur c. BNF spciicaion o programming languag d. h xponnial growh o mmory 11. (p. 22) Which languag was irs o suppor h hr undamnal aurs o objcorind programming? a. Smallalk b. CLOS c. SIMULA-67 d. C (p. 22) Which o h ollowing is no a undamnal aur o an objc-orind programming languag? a. daa absracion b. inhrianc c. dynamic mhod binding d. inrac ncapsulaion 3

4 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn (p ) Givn h grammar in h igur blow, slc h lmos drivaion o h sring a+b*c. a. Sp Snnial Form * 4 +*id(c) 5 +id(b)*id(c) 6 id(a)*id(b)+id(c) b. Sp Snnial Form * 4 +*id(c) 5 +id(b)*id(c) 6 +id(b)*id(c) 7 id(a)+id(b)*id(c) c. Sp Snnial Form * 4 +* 5 +* 6 id(a)+* 7 id(a)+* 8 id(a)+id(b)* 9 id(a)+id(b)*id(c) + - * / % () id Figur 13. 4

5 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn 2013 d. Sp Snnial Form id(a)+ 6 id(a)+* 7 id(a)+* 8 id(a)+id(b)* 9 id(a)+id(b)*id(c) 14. (p 120) Th irs languag o mploy BNF was a. Pascal b. LISP c. FORTRAN d. Algol (Ch. 3. Lcur Nos) Givn h grammar in h igur blow, slc h righmos drivaion o h sring a+b*c. + - * / % () id Figur 15. a. Sp Snnial Form * 4 +*id(c) 5 +id(b)*id(c) 6 id(a)*id(b)+id(c) 5

6 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn 2013 b. Sp Snnial Form id(a)+ 6 id(a)+* 7 id(a)+* 8 id(a)+id(b)* 9 id(a)+id(b)*id(c) c. Sp Snnial Form * 4 +* 5 +* 6 id(a)+* 7 id(a)+* 8 id(a)+id(b)* 9 id(a)+id(b)*id(c) d. Sp Snnial Form * 4 +*id(c) 5 +*id(c) 6 +id(b)*id(c) 7 +id(b)*id(c) 8 +id(b)*id(c) 9 id(a)+id(b)*id(c) 6

7 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn (Projc p01 nos) Wha squnc o okns is rcognizd by h rgular xprssions shown in h igur blow givn h inpu sring ? a. 3 okns as ollows b. 1 okn as ollows c. 4 okns as ollows d. 2 okns as ollows [+ -]?[0-9]+\.[0-9]*([E ][+ -]?[0-9]+)? [+ -]?[0-9]+ \.[0-9]+. [+ -] [0-9]+ Figur (p. 27) Which o h ollowing is NOT a phas o compilaion? a. lxical analysis b. smanic analysis c. synax analysis d. saic analysis 18. (p ) Which slcion corrcly ordrs h prcdnc o opraors in h grammar in h igur blow? Opraors ar ordrd rom l o righ, highs o lows. a. () * / % + - b. + * - / % () c. () * + / - % d. + - * / % () + - * / % () id Figur 18. 7

8 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn (p ) Which o h ollowing grammars is NOT ambiguous? a. E->E+E E->E*E E->(E) E->id b. E->E+T T T->T*F F F->(E) id c. E->E A E (E) id A -> + * d. E->E+E E*E (E) id 20. (p ) Slc h pars r or h snnc B * ( A + C ) in h grammar shown blow. * + () ID Figur 20. 8

9 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn 2013 * ( ) ID(B) + ID(C) ID(A) Figur 20 a. 9

10 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn 2013 * ( ) ID(B) + ID(C) ID(A) Figur 20 b. 10

11 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn ( ) ID(B) * ID(C) ID(A) Figur 20 c. 11

12 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn ( ) ID(B) * ID(C) ID(A) Figur 20 d. 12

13 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn (p ) Slc h abl ha corrcly spciis h prcdnc and associaiviy o h opraors givn in h grammar shown blow. Plas no ha h highs prcdnc is on (1). + - * / p p ^ p () p u u -u u id Figur 21. op nam prcdnc associaiviy - unary minus 1 righ () parnhsis 2 n/a ^ xponniaion 3 righ * muliplicaion 4 l / division 4 l + addiion 5 l - subracion 5 l Tabl 21. a. op nam prcdnc associaiviy + addiion 1 l - subracion 1 l * muliplicaion 2 l / division 2 l ^ xponniaion 3 righ () parnhsis 4 n/a - unary minus 5 righ Tabl 21. b. 13

14 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn 2013 op nam prcdnc associaiviy - unary minus 1 l () parnhsis 2 n/a ^ xponniaion 3 l * muliplicaion 4 righ / division 4 righ + addiion 5 righ - subracion 5 righ Tabl 21. c. op nam prcdnc associaiviy + addiion 1 righ - subracion 1 righ * muliplicaion 2 righ / division 2 righ ^ xponniaion 3 l () parnhsis 4 n/a - unary minus 5 l Tabl 21. d. 22. (p. 193) Which o h ollowing grammars is pairwis disjoin? Id LHS RHS Id LHS RHS 1 A ab 1 A ab 2 A bab 2 A BAb 3 A Bb 3 B ab 4 B cb 4 B b 5 B d Figur 22 a. Figur 22 b. 14

15 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn 2013 Id LHS RHS Id LHS RHS 1 A Ba 1 A Ba 2 A bab 2 A BAb 3 A bb 3 B ab 4 B cb 4 B b 5 B d Figur 22 c. Figur 22 d. 23. (p. 196) Considr h grammar shown in Figur 23.1, a snnial orm in h grammar shown in Figur 23.2, and a pars r o h snnc in Figur How many phrass ar shown in h pars r? + * () ID Figur *ID Figur * Figur 23.3 ID a. 1 b. 2 c. 3 d. 4 15

16 Programming Languags CRN Ts 1 Vrsion 1 CMSC 4023 Auumn Find h FIRST ss or h grammar shown blow. E TE E +TE E ε T FT T *FT T ε F (E) F id Figur 24 Nonrminal FIRST s Nonrminal FIRST s E {T} E {(,id} E {+,ε} E {+,ε} T {F} T {(,id} T {*,ε} T {*,ε} F {(,id} F {(,id} Figur 24 a. Figur 24 b. Nonrminal FIRST s Nonrminal FIRST s E {E } E {(,id} E {E } E {+} T {T } T {(,id} T {T } T {*} F {),id} F {(,id} Figur 24 c. Figur 24 d. 25. (p ) Which o h ollowing is a limiaion o h LL grammar class? a. mus b implmnd by mploying a rcursiv dscn parsr b. l rcursion mus b liminad c. lxical analysis mus b implmnd using ini auomaa d. mus b implmnd using a pushdown auomaon 16

Homework #2: CMPT-379 Distributed on Oct 2; due on Oct 16 Anoop Sarkar

Homework #2: CMPT-379 Distributed on Oct 2; due on Oct 16 Anoop Sarkar Homwork #2: CMPT-379 Disribud on Oc 2 du on Oc 16 Anoop Sarkar anoop@cs.su.ca Rading or his homwork includs Chp 4 o h Dragon book. I ndd, rr o: hp://ldp.org/howto/lx-yacc-howto.hml Only submi answrs or

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

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

1 Recursive Descent (LL(1) grammars)

1 Recursive Descent (LL(1) grammars) UNIVERSITY OF CALIFORNIA Dparmn of Elcrical Enginring and Compur Scincs Compur Scinc Division CS 164 Fall 2001 R. J. Faman CS 164: Programming Languags and Compilrs: Parsing Prviously, I 1 discussd wha

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

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b 4. Th Uniform Disribuion Df n: A c.r.v. has a coninuous uniform disribuion on [a, b] whn is pdf is f x a x b b a Also, b + a b a µ E and V Ex4. Suppos, h lvl of unblivabiliy a any poin in a Transformrs

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

Abstract Interpretation: concrete and abstract semantics

Abstract Interpretation: concrete and abstract semantics Abstract Intrprtation: concrt and abstract smantics Concrt smantics W considr a vry tiny languag that manags arithmtic oprations on intgrs valus. Th (concrt) smantics of th languags cab b dfind by th funzcion

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

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

Lecture 2: Current in RC circuit D.K.Pandey

Lecture 2: Current in RC circuit D.K.Pandey Lcur 2: urrn in circui harging of apacior hrough Rsisr L us considr a capacior of capacianc is conncd o a D sourc of.m.f. E hrough a rsisr of rsisanc R and a ky K in sris. Whn h ky K is swichd on, h charging

More information

B) 25y e. 5. Find the second partial f. 6. Find the second partials (including the mixed partials) of

B) 25y e. 5. Find the second partial f. 6. Find the second partials (including the mixed partials) of Sampl Final 00 1. Suppos z = (, y), ( a, b ) = 0, y ( a, b ) = 0, ( a, b ) = 1, ( a, b ) = 1, and y ( a, b ) =. Thn (a, b) is h s is inconclusiv a saddl poin a rlaiv minimum a rlaiv maimum. * (Classiy

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

Economics 201b Spring 2010 Solutions to Problem Set 3 John Zhu

Economics 201b Spring 2010 Solutions to Problem Set 3 John Zhu Economics 20b Spring 200 Solutions to Problm St 3 John Zhu. Not in th 200 vrsion of Profssor Andrson s ctur 4 Nots, th charactrization of th firm in a Robinson Cruso conomy is that it maximizs profit ovr

More information

UNTYPED LAMBDA CALCULUS (II)

UNTYPED LAMBDA CALCULUS (II) 1 UNTYPED LAMBDA CALCULUS (II) RECALL: CALL-BY-VALUE O.S. Basic rul Sarch ruls: (\x.) v [v/x] 1 1 1 1 v v CALL-BY-VALUE EVALUATION EXAMPLE (\x. x x) (\y. y) x x [\y. y / x] = (\y. y) (\y. y) y [\y. y /

More information

4. (5a + b) 7 & x 1 = (3x 1)log 10 4 = log (M1) [4] d = 3 [4] T 2 = 5 + = 16 or or 16.

4. (5a + b) 7 & x 1 = (3x 1)log 10 4 = log (M1) [4] d = 3 [4] T 2 = 5 + = 16 or or 16. . 7 7 7... 7 7 (n )0 7 (M) 0(n ) 00 n (A) S ((7) 0(0)) (M) (7 00) 8897 (A). (5a b) 7 7... (5a)... (M) 7 5 5 (a b ) 5 5 a b (M)(A) So th cofficint is 75 (A) (C) [] S (7 7) (M) () 8897 (A) (C) [] 5. x.55

More information

Basic Logic Review. Rules. Lecture Roadmap Combinational Logic. Textbook References. Basic Logic Gates (2-input versions)

Basic Logic Review. Rules. Lecture Roadmap Combinational Logic. Textbook References. Basic Logic Gates (2-input versions) Lctur Roadmap ombinational Logic EE 55 Digital Systm Dsign with VHDL Lctur Digital Logic Rrshr Part ombinational Logic Building Blocks Basic Logic Rviw Basic Gats D Morgan s Law ombinational Logic Building

More information

CS 6353 Compiler Construction, Homework #1. 1. Write regular expressions for the following informally described languages:

CS 6353 Compiler Construction, Homework #1. 1. Write regular expressions for the following informally described languages: CS 6353 Compilr Construction, Homwork #1 1. Writ rgular xprssions for th following informally dscribd languags: a. All strings of 0 s and 1 s with th substring 01*1. Answr: (0 1)*01*1(0 1)* b. All strings

More information

CPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees

CPSC 211 Data Structures & Implementations (c) Texas A&M University [ 259] B-Trees CPSC 211 Daa Srucurs & Implmnaions (c) Txas A&M Univrsiy [ 259] B-Trs Th AVL r and rd-black r allowd som variaion in h lnghs of h diffrn roo-o-laf pahs. An alrnaiv ida is o mak sur ha all roo-o-laf pahs

More information

First Lecture of Machine Learning. Hung-yi Lee

First Lecture of Machine Learning. Hung-yi Lee Firs Lcur of Machin Larning Hung-yi L Larning o say ys/no Binary Classificaion Larning o say ys/no Sam filring Is an -mail sam or no? Rcommndaion sysms rcommnd h roduc o h cusomr or no? Malwar dcion Is

More information

First derivative analysis

First derivative analysis Robrto s Nots on Dirntial Calculus Chaptr 8: Graphical analysis Sction First drivativ analysis What you nd to know alrady: How to us drivativs to idntiy th critical valus o a unction and its trm points

More information

Final Exam : Solutions

Final Exam : Solutions Comp : Algorihm and Daa Srucur Final Exam : Soluion. Rcuriv Algorihm. (a) To bgin ind h mdian o {x, x,... x n }. Sinc vry numbr xcp on in h inrval [0, n] appar xacly onc in h li, w hav ha h mdian mu b

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

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

Languages That Are and Are Not Context-Free

Languages That Are and Are Not Context-Free Languages Tha re and re No Conex-Free Read K & S 3.5, 3.6, 3.7. Read Supplemenary Maerials: Conex-Free Languages and Pushdown uomaa: Closure Properies of Conex-Free Languages Read Supplemenary Maerials:

More information

cycle that does not cross any edges (including its own), then it has at least

cycle that does not cross any edges (including its own), then it has at least W prov th following thorm: Thorm If a K n is drawn in th plan in such a way that it has a hamiltonian cycl that dos not cross any dgs (including its own, thn it has at last n ( 4 48 π + O(n crossings Th

More information

CPS 616 W2017 MIDTERM SOLUTIONS 1

CPS 616 W2017 MIDTERM SOLUTIONS 1 CPS 616 W2017 MIDTERM SOLUTIONS 1 PART 1 20 MARKS - MULTIPLE CHOICE Instructions Plas ntr your answrs on t bubbl st wit your nam unlss you ar writin tis xam at t Tst Cntr, in wic cas you sould just circl

More information

Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation.

Fourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation. Lur 7 Fourir Transforms and th Wav Euation Ovrviw and Motivation: W first discuss a fw faturs of th Fourir transform (FT), and thn w solv th initial-valu problm for th wav uation using th Fourir transform

More information

Linear-Phase FIR Transfer Functions. Functions. Functions. Functions. Functions. Functions. Let

Linear-Phase FIR Transfer Functions. Functions. Functions. Functions. Functions. Functions. Let It is impossibl to dsign an IIR transfr function with an xact linar-phas It is always possibl to dsign an FIR transfr function with an xact linar-phas rspons W now dvlop th forms of th linarphas FIR transfr

More information

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator.

Exam 1. It is important that you clearly show your work and mark the final answer clearly, closed book, closed notes, no calculator. Exam N a m : _ S O L U T I O N P U I D : I n s t r u c t i o n s : It is important that you clarly show your work and mark th final answr clarly, closd book, closd nots, no calculator. T i m : h o u r

More information

4. Money cannot be neutral in the short-run the neutrality of money is exclusively a medium run phenomenon.

4. Money cannot be neutral in the short-run the neutrality of money is exclusively a medium run phenomenon. PART I TRUE/FALSE/UNCERTAIN (5 points ach) 1. Lik xpansionary montary policy, xpansionary fiscal policy rturns output in th mdium run to its natural lvl, and incrass prics. Thrfor, fiscal policy is also

More information

Three Concepts: Probability Henry Tirri, Petri Myllymäki

Three Concepts: Probability Henry Tirri, Petri Myllymäki 6..6 robability as a masur o bli Thr Conpts: robability Hnry Tirri, tri Myllymäki 998-6 56 robabilitis ar to b intrprtd Ditionary dinition: probability han liklihood probability? Thr Conpts: robability

More information

EXAM. CS331 Compiler Design Spring Please read all instructions, including these, carefully

EXAM. CS331 Compiler Design Spring Please read all instructions, including these, carefully EXAM Please read all instructions, including these, carefully There are 7 questions on the exam, with multiple parts. You have 3 hours to work on the exam. The exam is open book, open notes. Please write

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

y = 2xe x + x 2 e x at (0, 3). solution: Since y is implicitly related to x we have to use implicit differentiation: 3 6y = 0 y = 1 2 x ln(b) ln(b)

y = 2xe x + x 2 e x at (0, 3). solution: Since y is implicitly related to x we have to use implicit differentiation: 3 6y = 0 y = 1 2 x ln(b) ln(b) 4. y = y = + 5. Find th quation of th tangnt lin for th function y = ( + ) 3 whn = 0. solution: First not that whn = 0, y = (1 + 1) 3 = 8, so th lin gos through (0, 8) and thrfor its y-intrcpt is 8. y

More information

Estimation of Metal Recovery Using Exponential Distribution

Estimation of Metal Recovery Using Exponential Distribution Inrnaional rd Journal o Sinii sarh in Enginring (IJSE).irjsr.om Volum 1 Issu 1 ǁ D. 216 ǁ PP. 7-11 Esimaion o Mal ovry Using Exponnial Disribuion Hüsyin Ankara Dparmn o Mining Enginring, Eskishir Osmangazi

More information

Partial Derivatives: Suppose that z = f(x, y) is a function of two variables.

Partial Derivatives: Suppose that z = f(x, y) is a function of two variables. Chaptr Functions o Two Variabls Applid Calculus 61 Sction : Calculus o Functions o Two Variabls Now that ou hav som amiliarit with unctions o two variabls it s tim to start appling calculus to hlp us solv

More information

PHYSICS 489/1489 LECTURE 7: QUANTUM ELECTRODYNAMICS

PHYSICS 489/1489 LECTURE 7: QUANTUM ELECTRODYNAMICS PHYSICS 489/489 LECTURE 7: QUANTUM ELECTRODYNAMICS REMINDER Problm st du today 700 in Box F TODAY: W invstigatd th Dirac quation it dscribs a rlativistic spin /2 particl implis th xistnc of antiparticl

More information

SOLUTIONS. 1. Consider two continuous random variables X and Y with joint p.d.f. f ( x, y ) = = = 15. Stepanov Dalpiaz

SOLUTIONS. 1. Consider two continuous random variables X and Y with joint p.d.f. f ( x, y ) = = = 15. Stepanov Dalpiaz STAT UIUC Pracic Problms #7 SOLUTIONS Spanov Dalpiaz Th following ar a numbr of pracic problms ha ma b hlpful for compling h homwor, and will lil b vr usful for suding for ams.. Considr wo coninuous random

More information

ECE602 Exam 1 April 5, You must show ALL of your work for full credit.

ECE602 Exam 1 April 5, You must show ALL of your work for full credit. ECE62 Exam April 5, 27 Nam: Solution Scor: / This xam is closd-book. You must show ALL of your work for full crdit. Plas rad th qustions carfully. Plas chck your answrs carfully. Calculators may NOT b

More information

Effect of sampling on frequency domain analysis

Effect of sampling on frequency domain analysis LIGO-T666--R Ec sampling n rquncy dmain analysis David P. Nrwd W rviw h wll-knwn cs digial sampling n h rquncy dmain analysis an analg signal, wih mphasis n h cs upn ur masurmns. This discussin llws h

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

MA 262, Spring 2018, Final exam Version 01 (Green)

MA 262, Spring 2018, Final exam Version 01 (Green) MA 262, Spring 218, Final xam Vrsion 1 (Grn) INSTRUCTIONS 1. Switch off your phon upon ntring th xam room. 2. Do not opn th xam booklt until you ar instructd to do so. 3. Bfor you opn th booklt, fill in

More information

whereby we can express the phase by any one of the formulas cos ( 3 whereby we can express the phase by any one of the formulas

whereby we can express the phase by any one of the formulas cos ( 3 whereby we can express the phase by any one of the formulas Third In-Class Exam Soluions Mah 6, Profssor David Lvrmor Tusday, 5 April 07 [0] Th vrical displacmn of an unforcd mass on a spring is givn by h 5 3 cos 3 sin a [] Is his sysm undampd, undr dampd, criically

More information

Direct Approach for Discrete Systems One-Dimensional Elements

Direct Approach for Discrete Systems One-Dimensional Elements CONTINUUM & FINITE ELEMENT METHOD Dirct Approach or Discrt Systms On-Dimnsional Elmnts Pro. Song Jin Par Mchanical Enginring, POSTECH Dirct Approach or Discrt Systms Dirct approach has th ollowing aturs:

More information

Chapter 12 Introduction To The Laplace Transform

Chapter 12 Introduction To The Laplace Transform Chapr Inroducion To Th aplac Tranorm Diniion o h aplac Tranorm - Th Sp & Impul uncion aplac Tranorm o pciic uncion 5 Opraional Tranorm Applying h aplac Tranorm 7 Invr Tranorm o Raional uncion 8 Pol and

More information

Unfired pressure vessels- Part 3: Design

Unfired pressure vessels- Part 3: Design Unfird prssur vssls- Part 3: Dsign Analysis prformd by: Analysis prformd by: Analysis vrsion: According to procdur: Calculation cas: Unfird prssur vssls EDMS Rfrnc: EF EN 13445-3 V1 Introduction: This

More information

That is, we start with a general matrix: And end with a simpler matrix:

That is, we start with a general matrix: And end with a simpler matrix: DIAGON ALIZATION OF THE STR ESS TEN SOR INTRO DUCTIO N By th us of Cauchy s thorm w ar abl to rduc th numbr of strss componnts in th strss tnsor to only nin valus. An additional simplification of th strss

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

AN INTRODUCTION TO FOURIER ANALYSIS PROF. VEDAT TAVSANOĞLU

AN INTRODUCTION TO FOURIER ANALYSIS PROF. VEDAT TAVSANOĞLU A IRODUCIO O FOURIER AALYSIS PROF. VEDA AVSAOĞLU 994 A IRODUCIO O FOURIER AALYSIS ABLE OF COES. HE FOURIER SERIES ---------------------------------------------------------------------3.. Priodic Funcions-----------------------------------------------------------------------3..

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

MCE503: Modeling and Simulation of Mechatronic Systems Discussion on Bond Graph Sign Conventions for Electrical Systems

MCE503: Modeling and Simulation of Mechatronic Systems Discussion on Bond Graph Sign Conventions for Electrical Systems MCE503: Modling and Simulation o Mchatronic Systms Discussion on Bond Graph Sign Convntions or Elctrical Systms Hanz ichtr, PhD Clvland Stat Univrsity, Dpt o Mchanical Enginring 1 Basic Assumption In a

More information

EAcos θ, where θ is the angle between the electric field and

EAcos θ, where θ is the angle between the electric field and 8.4. Modl: Th lctric flux flows out of a closd surfac around a rgion of spac containing a nt positiv charg and into a closd surfac surrounding a nt ngativ charg. Visualiz: Plas rfr to Figur EX8.4. Lt A

More information

Chap.3 Laplace Transform

Chap.3 Laplace Transform Chap. aplac Tranorm Tranorm: An opraion ha ranorm a uncion ino anohr uncion i Dirniaion ranorm: ii x: d dx x x Ingraion ranorm: x: x dx x c Now, conidr a dind ingral k, d,ha ranorm ino a uncion o variabl

More information

Chapter 3: Fourier Representation of Signals and LTI Systems. Chih-Wei Liu

Chapter 3: Fourier Representation of Signals and LTI Systems. Chih-Wei Liu Chapr 3: Fourir Rprsnaion of Signals and LTI Sysms Chih-Wi Liu Oulin Inroducion Complx Sinusoids and Frquncy Rspons Fourir Rprsnaions for Four Classs of Signals Discr-im Priodic Signals Fourir Sris Coninuous-im

More information

Division of Mechanics Lund University MULTIBODY DYNAMICS. Examination Name (write in block letters):.

Division of Mechanics Lund University MULTIBODY DYNAMICS. Examination Name (write in block letters):. Division of Mchanics Lund Univrsity MULTIBODY DYNMICS Examination 7033 Nam (writ in block lttrs):. Id.-numbr: Writtn xamination with fiv tasks. Plas chck that all tasks ar includd. clan copy of th solutions

More information

Curl, Divergence, Gradient, and Laplacian in Cylindrical and Spherical Coordinate Systems

Curl, Divergence, Gradient, and Laplacian in Cylindrical and Spherical Coordinate Systems A P P E N D I X B Curl, Divrgnc, Gradint, and Laplacian in Cylindrical and Sphrical Coordinat Systms 788 In Chaptr 3, w introducd th curl, divrgnc, gradint, and Laplacian and drivd th xprssions or thm

More information

Circuits and Systems I

Circuits and Systems I Circuis and Sysms I LECTURE #3 Th Spcrum, Priodic Signals, and h Tim-Varying Spcrum lions@pfl Prof. Dr. Volan Cvhr LIONS/Laboraory for Informaion and Infrnc Sysms Licns Info for SPFirs Slids This wor rlasd

More information

Alpha and beta decay equation practice

Alpha and beta decay equation practice Alpha and bta dcay quation practic Introduction Alpha and bta particls may b rprsntd in quations in svral diffrnt ways. Diffrnt xam boards hav thir own prfrnc. For xampl: Alpha Bta α β alpha bta Dspit

More information

Search sequence databases 3 10/25/2016

Search sequence databases 3 10/25/2016 Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an

More information

Ma/CS 6a Class 15: Flows and Bipartite Graphs

Ma/CS 6a Class 15: Flows and Bipartite Graphs //206 Ma/CS 6a Cla : Flow and Bipari Graph By Adam Shffr Rmindr: Flow Nwork A flow nwork i a digraph G = V, E, oghr wih a ourc vrx V, a ink vrx V, and a capaciy funcion c: E N. Capaciy Sourc 7 a b c d

More information

Control System Engineering (EE301T) Assignment: 2

Control System Engineering (EE301T) Assignment: 2 Conrol Sysm Enginring (EE0T) Assignmn: PART-A (Tim Domain Analysis: Transin Rspons Analysis). Oain h rspons of a uniy fdack sysm whos opn-loop ransfr funcion is (s) s ( s 4) for a uni sp inpu and also

More information

MATHEMATICS (B) 2 log (D) ( 1) = where z =

MATHEMATICS (B) 2 log (D) ( 1) = where z = MATHEMATICS SECTION- I STRAIGHT OBJECTIVE TYPE This sction contains 9 multipl choic qustions numbrd to 9. Each qustion has choic (A), (B), (C) and (D), out of which ONLY-ONE is corrct. Lt I d + +, J +

More information

Constants and Conversions:

Constants and Conversions: EXAM INFORMATION Radial Distribution Function: P 2 ( r) RDF( r) Br R( r ) 2, B is th normalization constant. Ordr of Orbital Enrgis: Homonuclar Diatomic Molculs * * * * g1s u1s g 2s u 2s u 2 p g 2 p g

More information

CS 361 Meeting 12 10/3/18

CS 361 Meeting 12 10/3/18 CS 36 Mting 2 /3/8 Announcmnts. Homwork 4 is du Friday. If Friday is Mountain Day, homwork should b turnd in at my offic or th dpartmnt offic bfor 4. 2. Homwork 5 will b availabl ovr th wknd. 3. Our midtrm

More information

INC 693, 481 Dynamics System and Modelling: The Language of Bound Graphs Dr.-Ing. Sudchai Boonto Assistant Professor

INC 693, 481 Dynamics System and Modelling: The Language of Bound Graphs Dr.-Ing. Sudchai Boonto Assistant Professor INC 693, 48 Dynamics Systm and Modlling: Th Languag o Bound Graphs Dr.-Ing. Sudchai Boonto Assistant Prossor Dpartmnt o Control Systm and Instrumntation Enginring King Mongkut s Unnivrsity o Tchnology

More information

Homework: Introduction to Motion

Homework: Introduction to Motion Homwork: Inroducon o Moon Dsanc vs. Tm Graphs Nam Prod Drcons: Answr h foowng qusons n h spacs provdd. 1. Wha do you do o cra a horzona n on a dsancm graph? 2. How do you wak o cra a sragh n ha sops up?

More information

DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS. Assoc. Prof. Dr. Burak Kelleci. Spring 2018

DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS. Assoc. Prof. Dr. Burak Kelleci. Spring 2018 DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING SIGNALS AND SYSTEMS Aoc. Prof. Dr. Burak Kllci Spring 08 OUTLINE Th Laplac Tranform Rgion of convrgnc for Laplac ranform Invr Laplac ranform Gomric valuaion

More information

Math 34A. Final Review

Math 34A. Final Review Math A Final Rviw 1) Us th graph of y10 to find approimat valus: a) 50 0. b) y (0.65) solution for part a) first writ an quation: 50 0. now tak th logarithm of both sids: log() log(50 0. ) pand th right

More information

Propositional Logic. Combinatorial Problem Solving (CPS) Albert Oliveras Enric Rodríguez-Carbonell. May 17, 2018

Propositional Logic. Combinatorial Problem Solving (CPS) Albert Oliveras Enric Rodríguez-Carbonell. May 17, 2018 Propositional Logic Combinatorial Problm Solving (CPS) Albrt Olivras Enric Rodríguz-Carbonll May 17, 2018 Ovrviw of th sssion Dfinition of Propositional Logic Gnral Concpts in Logic Rduction to SAT CNFs

More information

Introduction to Arithmetic Geometry Fall 2013 Lecture #20 11/14/2013

Introduction to Arithmetic Geometry Fall 2013 Lecture #20 11/14/2013 18.782 Introduction to Arithmtic Gomtry Fall 2013 Lctur #20 11/14/2013 20.1 Dgr thorm for morphisms of curvs Lt us rstat th thorm givn at th nd of th last lctur, which w will now prov. Thorm 20.1. Lt φ:

More information

Aim To manage files and directories using Linux commands. 1. file Examines the type of the given file or directory

Aim To manage files and directories using Linux commands. 1. file Examines the type of the given file or directory m E x. N o. 3 F I L E M A N A G E M E N T Aim To manag ils and dirctoris using Linux commands. I. F i l M a n a g m n t 1. il Examins th typ o th givn il or dirctory i l i l n a m > ( o r ) < d i r c t

More information

Figure 1: Closed surface, surface with boundary, or not a surface?

Figure 1: Closed surface, surface with boundary, or not a surface? QUESTION 1 (10 marks) Two o th topological spacs shown in Figur 1 ar closd suracs, two ar suracs with boundary, and two ar not suracs. Dtrmin which is which. You ar not rquird to justiy your answr, but,

More information

Unit 6: Solving Exponential Equations and More

Unit 6: Solving Exponential Equations and More Habrman MTH 111 Sction II: Eonntial and Logarithmic Functions Unit 6: Solving Eonntial Equations and Mor EXAMPLE: Solv th quation 10 100 for. Obtain an act solution. This quation is so asy to solv that

More information

Section 11.6: Directional Derivatives and the Gradient Vector

Section 11.6: Directional Derivatives and the Gradient Vector Sction.6: Dirctional Drivativs and th Gradint Vctor Practic HW rom Stwart Ttbook not to hand in p. 778 # -4 p. 799 # 4-5 7 9 9 35 37 odd Th Dirctional Drivativ Rcall that a b Slop o th tangnt lin to th

More information

Context-Free Grammar

Context-Free Grammar Context-Free Grammar CFGs are more powerful than regular expressions. They are more powerful in the sense that whatever can be expressed using regular expressions can be expressed using context-free grammars,

More information

Poisson process Markov process

Poisson process Markov process E2200 Quuing hory and lraffic 2nd lcur oion proc Markov proc Vikoria Fodor KTH Laboraory for Communicaion nwork, School of Elcrical Enginring 1 Cour oulin Sochaic proc bhind quuing hory L2-L3 oion proc

More information

Quasi-Classical States of the Simple Harmonic Oscillator

Quasi-Classical States of the Simple Harmonic Oscillator Quasi-Classical Stats of th Simpl Harmonic Oscillator (Draft Vrsion) Introduction: Why Look for Eignstats of th Annihilation Oprator? Excpt for th ground stat, th corrspondnc btwn th quantum nrgy ignstats

More information

The transition:transversion rate ratio vs. the T-ratio.

The transition:transversion rate ratio vs. the T-ratio. PhyloMah Lcur 8 by Dan Vandrpool March, 00 opics of Discussion ransiion:ransvrsion ra raio Kappa vs. ransiion:ransvrsion raio raio alculaing h xpcd numbr of subsiuions using marix algbra Why h nral im

More information

I) Title: Rational Expectations and Adaptive Learning. II) Contents: Introduction to Adaptive Learning

I) Title: Rational Expectations and Adaptive Learning. II) Contents: Introduction to Adaptive Learning I) Til: Raional Expcaions and Adapiv Larning II) Conns: Inroducion o Adapiv Larning III) Documnaion: - Basdvan, Olivir. (2003). Larning procss and raional xpcaions: an analysis using a small macroconomic

More information

Pushdown Automata. Reading: Chapter 6

Pushdown Automata. Reading: Chapter 6 Pushdown Automata Reading: Chapter 6 1 Pushdown Automata (PDA) Informally: A PDA is an NFA-ε with a infinite stack. Transitions are modified to accommodate stack operations. Questions: What is a stack?

More information

Theory of Computation - Module 3

Theory of Computation - Module 3 Theory of Computation - Module 3 Syllabus Context Free Grammar Simplification of CFG- Normal forms-chomsky Normal form and Greibach Normal formpumping lemma for Context free languages- Applications of

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

Kernels. ffl A kernel K is a function of two objects, for example, two sentence/tree pairs (x1; y1) and (x2; y2)

Kernels. ffl A kernel K is a function of two objects, for example, two sentence/tree pairs (x1; y1) and (x2; y2) Krnls krnl K is a function of two ojcts, for xampl, two sntnc/tr pairs (x1; y1) an (x2; y2) K((x1; y1); (x2; y2)) Intuition: K((x1; y1); (x2; y2)) is a masur of th similarity (x1; y1) twn (x2; y2) an ormally:

More information

FIRST-ORDER SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS I: Introduction and Linear Systems

FIRST-ORDER SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS I: Introduction and Linear Systems FIRST-ORDER SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS I: Inroducion and Linar Sysms David Lvrmor Dparmn of Mahmaics Univrsiy of Maryland 9 Dcmbr 0 Bcaus h prsnaion of his marial in lcur will diffr from

More information

Calculus concepts derivatives

Calculus concepts derivatives All rasonabl fforts hav bn mad to mak sur th nots ar accurat. Th author cannot b hld rsponsibl for any damags arising from th us of ths nots in any fashion. Calculus concpts drivativs Concpts involving

More information

September 23, Honors Chem Atomic structure.notebook. Atomic Structure

September 23, Honors Chem Atomic structure.notebook. Atomic Structure Atomic Structur Topics covrd Atomic structur Subatomic particls Atomic numbr Mass numbr Charg Cations Anions Isotops Avrag atomic mass Practic qustions atomic structur Sp 27 8:16 PM 1 Powr Standards/ Larning

More information

Communication Technologies

Communication Technologies Communication Tchnologis. Principls of Digital Transmission. Structur of Data Transmission.2 Spctrum of a Data Signal 2. Digital Modulation 2. Linar Modulation Mthods 2.2 Nonlinar Modulations (CPM-Signals)

More information

Self-interaction mass formula that relates all leptons and quarks to the electron

Self-interaction mass formula that relates all leptons and quarks to the electron Slf-intraction mass formula that rlats all lptons and quarks to th lctron GERALD ROSEN (a) Dpartmnt of Physics, Drxl Univrsity Philadlphia, PA 19104, USA PACS. 12.15. Ff Quark and lpton modls spcific thoris

More information

CMSC 330: Organization of Programming Languages

CMSC 330: Organization of Programming Languages CMSC 330: Organization of Programming Languages Theory of Regular Expressions DFAs and NFAs Reminders Project 1 due Sep. 24 Homework 1 posted Exam 1 on Sep. 25 Exam topics list posted Practice homework

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

PHA 5127 Answers Homework 2 Fall 2001

PHA 5127 Answers Homework 2 Fall 2001 PH 5127 nswrs Homwork 2 Fall 2001 OK, bfor you rad th answrs, many of you spnt a lot of tim on this homwork. Plas, nxt tim if you hav qustions plas com talk/ask us. Thr is no nd to suffr (wll a littl suffring

More information

Answer Homework 5 PHA5127 Fall 1999 Jeff Stark

Answer Homework 5 PHA5127 Fall 1999 Jeff Stark Answr omwork 5 PA527 Fall 999 Jff Stark A patint is bing tratd with Drug X in a clinical stting. Upon admiion, an IV bolus dos of 000mg was givn which yildd an initial concntration of 5.56 µg/ml. A fw

More information

Design and Analysis of Algorithms (Autumn 2017)

Design and Analysis of Algorithms (Autumn 2017) Din an Analyi o Alorim (Auumn 2017) Exri 3 Soluion 1. Sor pa Ain om poiiv an naiv o o ar o rap own low, o a Bllman-For in a or pa. Simula ir alorim a ru prolm o a layr DAG ( li), or on a an riv rom rurrn.

More information

Roadmap. XML Indexing. DataGuide example. DataGuides. Strong DataGuides. Multiple DataGuides for same data. CPS Topics in Database Systems

Roadmap. XML Indexing. DataGuide example. DataGuides. Strong DataGuides. Multiple DataGuides for same data. CPS Topics in Database Systems Roadmap XML Indxing CPS 296.1 Topics in Databas Systms Indx fabric Coopr t al. A Fast Indx for Smistructurd Data. VLDB, 2001 DataGuid Goldman and Widom. DataGuids: Enabling Qury Formulation and Optimization

More information

Transfer function and the Laplace transformation

Transfer function and the Laplace transformation Lab No PH-35 Porland Sa Univriy A. La Roa Tranfr funcion and h Laplac ranformaion. INTRODUTION. THE LAPLAE TRANSFORMATION L 3. TRANSFER FUNTIONS 4. ELETRIAL SYSTEMS Analyi of h hr baic paiv lmn R, and

More information

Convolution. Lecture #6 2CT.3 8. BME 333 Biomedical Signals and Systems - J.Schesser

Convolution. Lecture #6 2CT.3 8. BME 333 Biomedical Signals and Systems - J.Schesser Convoluion Lecure #6 C.3 8 Deiniion When we compue he ollowing inegral or τ and τ we say ha he we are convoluing wih g d his says: ae τ, lip i convolve in ime -τ, hen displace i in ime by seconds -τ, and

More information

CSE 105 THEORY OF COMPUTATION

CSE 105 THEORY OF COMPUTATION CSE 105 THEORY OF COMPUTATION Spring 2017 http://cseweb.ucsd.edu/classes/sp17/cse105-ab/ Review of CFG, CFL, ambiguity What is the language generated by the CFG below: G 1 = ({S,T 1,T 2 }, {0,1,2}, { S

More information

Derivation of Eigenvalue Matrix Equations

Derivation of Eigenvalue Matrix Equations Drivation of Eignvalu Matrix Equations h scalar wav quations ar φ φ η + ( k + 0ξ η β ) φ 0 x y x pq ε r r whr for E mod E, 1, y pq φ φ x 1 1 ε r nr (4 36) for E mod H,, 1 x η η ξ ξ n [ N ] { } i i i 1

More information