( )( ) ( )( ) 2. Chapter 3 Exercise Solutions EX3.1. Transistor biased in the saturation region

( )( ) ( ) ( )( ) ( )( ) β = Chapter 5 Exercise Problems EX α So 49 β 199 EX EX EX5.4 EX5.5. (a)

hapter 5 xercise Problems X5. α β α 0.980 For α 0.980, β 49 0.980 0.995 For α 0.995, β 99 0.995 So 49 β 99 X5. O 00 O or n 3 O 40.5 β 0 X5.3 6.5 μ A 00 β ( 0)( 6.5 μa) 8 ma 5 ( 8)( 4 ) or.88 P on + 0.0065

Chapter 5. Exercise Solutions. Microelectronics: Circuit Analysis and Design, 4 th edition Chapter 5 EX5.1 = 1 I. = βi EX EX5.3 = = I V EX5.

Microelectronics: ircuit nalysis and Design, 4 th edition hapter 5 y D.. Neamen xercise Solutions xercise Solutions X5. ( β ).0 β 4. β 40. 0.0085 hapter 5 β 40. α 0.999 β 4..0 0.0085.95 X5. O 00 O n 3

Microelectronic Circuit Design Third Edition - Part I Solutions to Exercises

Microelectronic Circuit Design Third Edition - Part I Solutions to Exercises Page 11 CHAPTER 1 V LSB 5.1V 10 bits 5.1V 104bits 5.00 mv V 5.1V MSB.560V 1100010001 9 + 8 + 4 + 0 785 10 V O 786 5.00mV or

➂ 6 P 3 ➀ 94 q ❸ ❸ q ❼ q ❿ P ❿ ➅ ➅ 3 ➁ ➅ 3 ➅ ❾ ❶ P 4 ➀ q ❺ q ❸ ❸ ➄ ❾➃ ❼ 2 ❿ ❹ 5➒ 3 ➀ 96 q ➀ 3 2 ❾ 2 ❼ ❸ ➄3 q ❸ ➆ q s 3 ➀ 94 q ➂ P ❺ 10 5 ➊ ➋➃ ❸ ❾ 3➃ ❼

P P P q r s t 1 2 34 5 P P 36 2 P 7 8 94 q r Pq 10 ❶ ❶ ❷10 ❹❸ ❸ 9 ❺ ❼❻ q ❽ ❾ 2 ❿ 2 ❼❻ ➀ ➁ ➂ ❿ 3➃ ➄ 94 ➁ ➅ ❽ ➆ ➇ ➉➈ ➊ ➋ ➌ ➊ ➍ ➎ ➋ ➏➃ ➃ q ❺➐ 8 ➄ q ❷ P ➑ P ➅ ➇ ❽ ➈➃ ➒➇ ➓ ➏ ➎ ➄ P q 96 5P q 4 ❿ ➅ ➇➃❽ ➈➃ ➇ ➓

ΑΓΓΕΛΗΣ ΧΡΗΣΤΟΣ ΠΑΝΑΓΙΩΤΗΣ 6 OO ΑΓΓΕΛΙΔΗΣ ΧΑΡΙΛΑΟΣ ΧΡΗΣΤΟΣ 4 OO ΑΓΓΟΥ ΑΝΑΣΤΑΣΙΑ ΔΗΜΗΤΡΙΟΣ 6 OO ΑΔΑΜΙΔΟΥ ΕΥΑΓΓΕΛΙΑ ΑΒΡΑΑΜ 3 OO ΑΛΕΒΙΖΟΥ ΠΑΝΑΓΙΩΤΑ

ΕΠΩΝΥΜΙΑ ΠΕΡΙΟΔΟΣ ΜΕΣΟ ΑΓΓΕΛΗΣ ΧΡΗΣΤΟΣ ΠΑΝΑΓΙΩΤΗΣ 6 OO ΑΓΓΕΛΙΔΗΣ ΧΑΡΙΛΑΟΣ ΧΡΗΣΤΟΣ 4 OO ΑΓΓΟΥ ΑΝΑΣΤΑΣΙΑ ΔΗΜΗΤΡΙΟΣ 6 OO ΑΔΑΜΙΔΟΥ ΕΥΑΓΓΕΛΙΑ ΑΒΡΑΑΜ 3 OO ΑΛΕΒΙΖΟΥ ΠΑΝΑΓΙΩΤΑ ΔΗΜΗΤΡΙΟΣ 7 OO ΑΝΑΓΝΩΣΤΟΠΟΥΛΟΥ ΖΩΙΤΣΑ

Microelectronic Circuit Design Fourth Edition - Part II Solutions to Exercises

Page 9 Microelectronic Circuit Design Fourth Edition - Part II olutions to Exercises CHAPTER 6 NM 0.8V 0.4V 0.4 V NM H 3.6V.0V.6 V Page 94 V 0% V + 0. ΔV [ ].4 V [ ].4 V.6V + 0. 0.6 (.6) 0.6V 0.9 0.6 (.6)

= 0.927rad, t = 1.16ms

P 9. [a] ω = 2πf = 800rad/s, f = ω 2π = 27.32Hz [b] T = /f = 7.85ms [c] I m = 25mA [d] i(0) = 25cos(36.87 ) = 00mA [e] φ = 36.87 ; φ = 36.87 (2π) = 0.6435 rad 360 [f] i = 0 when 800t + 36.87 = 90. Now

Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit

Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ting Zhang Stanford May 11, 2001 Stanford, 5/11/2001 1 Outline Ordinal Classification Ordinal Addition Ordinal Multiplication Ordinal

Finite Field Problems: Solutions

Finite Field Problems: Solutions 1. Let f = x 2 +1 Z 11 [x] and let F = Z 11 [x]/(f), a field. Let Solution: F =11 2 = 121, so F = 121 1 = 120. The possible orders are the divisors of 120. Solution: The

ibemo Kazakhstan Republic of Kazakhstan, West Kazakhstan Oblast, Aksai, Pramzone, BKKS office complex Phone: ; Fax:

Microelectronic Circuit Design Fifth Edition - Part I Solutions to Exercises

Page Microelectronic Circuit Design Fifth Edition Part I Solutions to Exercises CHAPTER V LSB 5.V 0 bits 5.V 04bits 5.00 mv V MSB 5.V.560V 000000 9 + 8 + 4 + 0 785 0 V O 785 5.00mV or 5.V 3.95 V V O +

ST5224: Advanced Statistical Theory II

ST5224: Advanced Statistical Theory II 2014/2015: Semester II Tutorial 7 1. Let X be a sample from a population P and consider testing hypotheses H 0 : P = P 0 versus H 1 : P = P 1, where P j is a known

Survey on CMOS Digital Circuits. Y. Tsiatouhas. VLSI Technology & Computer Architecture Lab

CMOS INTEGRATE CIRCUIT ESIGN TECHNIQUES Uiversity of Ioaia MOS Trasistor ad CMOS Iverter ept. of Computer Sciece ad Egieerig Survey o CMOS igital Circuits Y. Tsiatouhas CMOS Itegrated Circuit esig Techiques

Econ 2110: Fall 2008 Suggested Solutions to Problem Set 8 questions or comments to Dan Fetter 1

Eon : Fall 8 Suggested Solutions to Problem Set 8 Email questions or omments to Dan Fetter Problem. Let X be a salar with density f(x, θ) (θx + θ) [ x ] with θ. (a) Find the most powerful level α test

Θεωρία Τρανζίστορ MOS

2 η Θεµατική Ενότητα : Θεωρία Τρανζίστορ MOS Επιµέλεια διαφανειών:. Μπακάλης Θεωρία Τρανζίστορ MOS Ένα τρανζίστορ MOS ορίζεται ως στοιχείο φορέων πλειονότητας (majority - carrier device) του οποίου το

MATH 38061/MATH48061/MATH68061: MULTIVARIATE STATISTICS Solutions to Problems on Matrix Algebra

MATH 38061/MATH48061/MATH68061: MULTIVARIATE STATISTICS Solutios to Poblems o Matix Algeba 1 Let A be a squae diagoal matix takig the fom a 11 0 0 0 a 22 0 A 0 0 a pp The ad So, log det A t log A t log

r t t r t t à ré ér t é r t st é é t r s s2stè s t rs ts t s

r t r r é té tr q tr t q t t q t r t t rrêté stér ût Prés té r ré ér ès r é r r st P t ré r t érô t 2r ré ré s r t r tr q t s s r t t s t r tr q tr t q t t q t r t t r t t r t t à ré ér t é r t st é é

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11

Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS

CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =

(... )..!, ".. (! ) # - $ % % $ & % 2007

(! ), "! ( ) # $ % & % $ % 007 500 ' 67905:5394!33 : (! ) $, -, * +,'; ), -, *! ' - " #!, $ & % $ ( % %): /!, " ; - : - +', 007 5 ISBN 978-5-7596-0766-3 % % - $, $ &- % $ % %, * $ % - % % # $ $,, % % #-

(Equipped with magnetic Shieid)

Power Trnsformer PT-0 PT-310 PT-0 PT-270 PT-260 PT-250 PT-2 PT-2 PT-180 PT-165 PT-160 PT-150 PT-100 PT-95 PT-60 V-0-280V-3V-360V-7m (450m ;ridge rectifier) 75V-0-75V-0.15 6.3V-4( 2) 6.3V-2( 2) 0-10V-160V-180V-800m

4.6 Autoregressive Moving Average Model ARMA(1,1)

84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this

Η Διάταξη µη-αντιστρέφοντος Τ.Ε.

Η Διάταξη µηαντιστρέφοντος Τ.Ε. Η"είσοδος"του"σήματος"""""""συνδέεται"με"την"μη2 αντιστρέφουσα"είσοδο,"η"αντιστρέφουσα"είσοδος" γειώνεται"και"η"έξοδος"ανατροφοδοτεί"την" αντιστρέφουσα"είσοδο"μέσω"της"αντίστασης"""""""."

Statistical Inference I Locally most powerful tests

Statistical Inference I Locally most powerful tests Shirsendu Mukherjee Department of Statistics, Asutosh College, Kolkata, India. shirsendu st@yahoo.co.in So far we have treated the testing of one-sided

CRASH COURSE IN PRECALCULUS

CRASH COURSE IN PRECALCULUS Shiah-Sen Wang The graphs are prepared by Chien-Lun Lai Based on : Precalculus: Mathematics for Calculus by J. Stuwart, L. Redin & S. Watson, 6th edition, 01, Brooks/Cole Chapter

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM Solutions to Question 1 a) The cumulative distribution function of T conditional on N n is Pr T t N n) Pr max X 1,..., X N ) t N n) Pr max

ΗΛΕΚΤΡΟΤΕΧΝΙΑ Ι Κεφάλαιο 2. Νόμοι στα ηλεκτρικά κυκλώματα ΠΡΟΒΛΗΜΑΤΑ

ΗΛΕΚΤΡΟΤΕΧΝΙΑ Ι Κεφάλαιο 2 Νόμοι στα ηλεκτρικά κυκλώματα ΠΡΟΒΛΗΜΑΤΑ Πρόβλημα 2-1 (Άσκηση 2, Κεφ. 2, σελ. 55, Κ. Παπαδόπουλου Ανάλυση ηλεκτρικών κυκλωμάτων ) Να υπολογιστεί η ισχύς που παράγει ή καταναλώνει

w o = R 1 p. (1) R = p =. = 1

Πανεπιστήµιο Κρήτης - Τµήµα Επιστήµης Υπολογιστών ΗΥ-570: Στατιστική Επεξεργασία Σήµατος 205 ιδάσκων : Α. Μουχτάρης Τριτη Σειρά Ασκήσεων Λύσεις Ασκηση 3. 5.2 (a) From the Wiener-Hopf equation we have:

(Equipped with magnetic Shieid)

Power Trnsformer PT-0 PT-310 PT-0 PT-270 PT-260 PT-250 PT-2 PT-2 PT-180 PT-165 PT-160 PT-150 PT-100 PT-95 PT-60 Primry Specifictions Secondry V-0-280V-3V-360V-7m (450m ;ridge rectifier) 75V-0-75V-0.15

6.1. Dirac Equation. Hamiltonian. Dirac Eq.

6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2

Chapter 29. Adjectival Participle

Chapter 29 Adjectival Participle Overview (29.3-5) Definition: Verbal adjective Function: they may function adverbially or adjectivally Forms: No new forms because adverbial and adjectival participles

RC series Thick Film Chip Resistor

RC series Thick Film Chip Resistor Features» Small size and light weight» Compatible with wave and reflow soldering» Suitable for lead free soldering» RoHS compliant & Halogen Free Applications Configuration»

Instruction Execution Times

1 C Execution Times InThisAppendix... Introduction DL330 Execution Times DL330P Execution Times DL340 Execution Times C-2 Execution Times Introduction Data Registers This appendix contains several tables

Appendix. The solution begins with Eq. (2.15) from the text, which we repeat here for 1, (A.1)

Aenix Aenix A: The equaion o he sock rice. The soluion egins wih Eq..5 rom he ex, which we reea here or convenience as Eq.A.: [ [ E E X, A. c α where X u ε, α γ, an c α y AR. Take execaions o Eq. A. as

Π Ο Λ Ι Τ Ι Κ Α Κ Α Ι Σ Τ Ρ Α Τ Ι Ω Τ Ι Κ Α Γ Ε Γ Ο Ν Ο Τ Α

Α Ρ Χ Α Ι Α Ι Σ Τ Ο Ρ Ι Α Π Ο Λ Ι Τ Ι Κ Α Κ Α Ι Σ Τ Ρ Α Τ Ι Ω Τ Ι Κ Α Γ Ε Γ Ο Ν Ο Τ Α Σ η µ ε ί ω σ η : σ υ ν ά δ ε λ φ ο ι, ν α µ ο υ σ υ γ χ ω ρ ή σ ε τ ε τ ο γ ρ ή γ ο ρ ο κ α ι α τ η µ έ λ η τ ο ύ

LAD Estimation for Time Series Models With Finite and Infinite Variance

LAD Estimatio for Time Series Moels With Fiite a Ifiite Variace Richar A. Davis Colorao State Uiversity William Dusmuir Uiversity of New South Wales 1 LAD Estimatio for ARMA Moels fiite variace ifiite

L.K.Gupta (Mathematic Classes) www.pioeermathematics.com MOBILE: 985577, 4677 + {JEE Mai 04} Sept 0 Name: Batch (Day) Phoe No. IT IS NOT ENOUGH TO HAVE A GOOD MIND, THE MAIN THING IS TO USE IT WELL Marks:

Homework 3 Solutions

Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For

Στα επόμενα θεωρούμε ότι όλα συμβαίνουν σε ένα χώρο πιθανότητας ( Ω,,P) Modes of convergence: Οι τρόποι σύγκλισης μιας ακολουθίας τ.μ.

Στα πόμνα θωρούμ ότι όλα συμβαίνουν σ ένα χώρο πιθανότητας ( Ω,,). Modes of covergece: Οι τρόποι σύγκλισης μιας ακολουθίας τ.μ. { } ίναι οι ξής: σ μια τ.μ.. Ισχυρή σύγκλιση strog covergece { } lim = =.

Bounding Nonsplitting Enumeration Degrees

Bounding Nonsplitting Enumeration Degrees Thomas F. Kent Andrea Sorbi Università degli Studi di Siena Italia July 18, 2007 Goal: Introduce a form of Σ 0 2-permitting for the enumeration degrees. Till now,

STARTING STEPS IN GRAMMAR, FINAL TEST C TERM 2012 UNITS 1-18

STARTING STEPS IN GRAMMAR, FINAL TEST C TERM 2012 UNITS 1-18 Name.. Class. Date. EXERCISE 1 Answer the question. Use: Yes, it is or No, it isn t. Απάντηςε ςτισ ερωτήςεισ. Βάλε: Yes, it is ή No, it isn

Lecture 13 - Root Space Decomposition II

Lecture 13 - Root Space Decomposition II October 18, 2012 1 Review First let us recall the situation. Let g be a simple algebra, with maximal toral subalgebra h (which we are calling a CSA, or Cartan Subalgebra).

6.4 Superposition of Linear Plane Progressive Waves

.0 - Marine Hydrodynamics, Spring 005 Lecture.0 - Marine Hydrodynamics Lecture 6.4 Superposition of Linear Plane Progressive Waves. Oblique Plane Waves z v k k k z v k = ( k, k z ) θ (Looking up the y-ais

Chapter 3: Ordinal Numbers

Chapter 3: Ordinal Numbers There are two kinds of number.. Ordinal numbers (0th), st, 2nd, 3rd, 4th, 5th,..., ω, ω +,... ω2, ω2+,... ω 2... answers to the question What position is... in a sequence? What

Introduction of Numerical Analysis #03 TAGAMI, Daisuke (IMI, Kyushu University)

Itroductio of Numerical Aalysis #03 TAGAMI, Daisuke (IMI, Kyushu Uiversity) web page of the lecture: http://www2.imi.kyushu-u.ac.jp/~tagami/lec/ Strategy of Numerical Simulatios Pheomea Error modelize

Breaking capacity: ~200kA Rated voltage: ~690V, 550V. Operating I 2 t-value (A 2 s) Power

SYSTEM NV-NH NV/NH SERIES TYPES gr UQ M M, M-striker pin ~ 5V ~9V Technical data on page 8 Technical data: Application: MCUQ/5A/9V Standards: IEC 9- Breaking capacity: ~ka Rated voltage: ~9V, 55V For battery

1993 (Saunders College 1991). P. R. Gray, P. J. Hurst, S. H. Lewis, and R. G. Meyer, Analysis and Design of Analog Integrated Circuits, 4th ed.

Πανεπιστήμιο Θεσσαλίας ΗΥ430: Εργαστήριο Αναλογικών Κυκλωμάτων Άνοιξη 2005 Εργαστηριακές Ασκήσεις Περιεχόμενα 1 Διπολικό και MOS τρανσίστορ................................... 2 2 Ενισχυτές με διπολικά

Example Sheet 3 Solutions

Example Sheet 3 Solutions. i Regular Sturm-Liouville. ii Singular Sturm-Liouville mixed boundary conditions. iii Not Sturm-Liouville ODE is not in Sturm-Liouville form. iv Regular Sturm-Liouville note

Differentiation exercise show differential equation

Differentiation exercise show differential equation 1. If y x sin 2x, prove that x d2 y 2 2 + 2y x + 4xy 0 y x sin 2x sin 2x + 2x cos 2x 2 2cos 2x + (2 cos 2x 4x sin 2x) x d2 y 2 2 + 2y x + 4xy (2x cos

ΦΎΛΛΟ ΔΕΔΟΜΈΝΩΝ 100/ /700 P5

100/120 277/700 P5 OPTOTRONIC Σταθερού ρεύματος ECG για μονάδες LED ΠΕΡΙΟΧΈΣ ΕΦΑΡΜΟΓΉΣ Φωτισμός δρόμων και αστικός φωτισμός Βιομηχανία Κατάλληλο για φωτιστικά με κατηγορία προστασίας I ΠΛΕΟΝΕΚΤΉΜΑΤΑ ΠΡΟΪΌΝΤΟΣ

The challenges of non-stable predicates

The challenges of non-stable predicates Consider a non-stable predicate Φ encoding, say, a safety property. We want to determine whether Φ holds for our program. The challenges of non-stable predicates

Srednicki Chapter 55

Srednicki Chapter 55 QFT Problems & Solutions A. George August 3, 03 Srednicki 55.. Use equations 55.3-55.0 and A i, A j ] = Π i, Π j ] = 0 (at equal times) to verify equations 55.-55.3. This is our third

RECIPROCATING COMPRESSOR CALCULATION SHEET

Gas properties, flowrate and conditions 1 Gas name Air RECIPRCATING CMPRESSR CALCULATIN SHEET WITH INTERCLER ( Sheet : 1. f 4.) Item or symbol Quantity Unit Item or symbol Quantity Unit 2 Suction pressure,

Εικονική Μνήμη (virtual memory)

Εικονική Μνήμη (virtual memory) Πολλά προγράμματα εκτελούνται ταυτόχρονα σε ένα υπολογιστή Η συνολική μνήμη που απαιτείται είναι μεγαλύτερη από το μέγεθος της RAM Αρχή τοπικότητας (η μνήμη χρησιμοποιείται

Durbin-Levinson recursive method

Durbin-Levinson recursive method A recursive method for computing ϕ n is useful because it avoids inverting large matrices; when new data are acquired, one can update predictions, instead of starting again

Introductory Circuit Analysis

Instructor s Resource Manual to accompany Introductory Circuit Analysis Eleventh Edition Robert L. Boylestad Upper Saddle River, New Jersey Columbus, Ohio Contents CHAPTER CHAPTER 9 CHAPTER 3 3 CHAPTER

ΑΔΑ: ΒΖΔΜΟΡ1Υ-Ν2Χ 2010/75/ (IPPC) / : : 3570, 2723/ Fax:

INFORMATICS DEVELOPMEN T AGENCY Digitally signed by INFORMATICS DEVELOPMENT AGENCY Date: 2015.06.11 10:58:15 EEST Reason: Location: Athens ΑΔΑ: ΒΖΔΜΟΡ1Υ-Ν2Χ Ω Δ Δ 2010/75/ (IPPC) Δ Ω Δ Δ - Δ/ XΩ Δ/ KAI

Math 6 SL Probability Distributions Practice Test Mark Scheme

Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry

M p f(p, q) = (p + q) O(1)

l k M = E, I S = {S,..., S t } E S i = p i {,..., t} S S q S Y E q X S X Y = X Y I X S X Y = X Y I S q S q q p+q p q S q p i O q S pq p i O S 2 p q q p+q p q p+q p fp, q AM S O fp, q p + q p p+q p AM

Editorís Talk. Advisor. Editorial team. Thank

1 Editorís Talk ❶ ⓿ ⓿ ❹ 2 ⓿ ❶ ❶ ⓿ ⓿ ❶ ⓿ ⓿ ❶ ❹ ⓿ ⓿ ⓿ ❶ ⓿ ⓿ ❹ ⓿ ⓿ ⓿ ❽ ❾ & & ❽ ❾ ❽ ❾ ❼ Advisor Editorial team & & & Thank & & ⓿ ❶ ❶ ❶ ❶ ❶ ⓿ ⓿ ❶ ❶ ⓿ ❹ ❶ ❶ ⓿ ❶ ⓿ ❶ ⓿ ⓿ ❶ ❶ ⓿ ⓿ ❶ ⓿ ⓿ ❶ ❶ ⓿ ⓿ ❶ ⓿ ⓿ ⓿ ❶ ⓿ ❶ ❶

Section 8.3 Trigonometric Equations

99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Thick Film Chip Resistors

FEATURES STANDARD SIZING 0402 (1/16W), 0603 (1/10W), 0805 (1/8W), 1206 (1/4W), 2010 (1/2W) AND 2512 (1W) HIGH VOLTAGE (100VDC ~ 3,000VDC) HIGH RESISTANCE VALUES (UP TO 100MW) THICK FILM ON ALUMINA SUSTRATE,

Notes on the Open Economy

Notes on the Open Econom Ben J. Heijdra Universit of Groningen April 24 Introduction In this note we stud the two-countr model of Table.4 in more detail. restated here for convenience. The model is Table.4.

1. For each of the following power series, find the interval of convergence and the radius of convergence:

Math 6 Practice Problems Solutios Power Series ad Taylor Series 1. For each of the followig power series, fid the iterval of covergece ad the radius of covergece: (a ( 1 x Notice that = ( 1 +1 ( x +1.

Second Order RLC Filters

ECEN 60 Circuits/Electronics Spring 007-0-07 P. Mathys Second Order RLC Filters RLC Lowpass Filter A passive RLC lowpass filter (LPF) circuit is shown in the following schematic. R L C v O (t) Using phasor

C.S. 430 Assignment 6, Sample Solutions

C.S. 430 Assignment 6, Sample Solutions Paul Liu November 15, 2007 Note that these are sample solutions only; in many cases there were many acceptable answers. 1 Reynolds Problem 10.1 1.1 Normal-order

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM

SOLUTIONS TO MATH38181 EXTREME VALUES AND FINANCIAL RISK EXAM Solutions to Question 1 a) The cumulative distribution function of T conditional on N n is Pr (T t N n) Pr (max (X 1,..., X N ) t N n) Pr (max

Section 7.6 Double and Half Angle Formulas

09 Section 7. Double and Half Angle Fmulas To derive the double-angles fmulas, we will use the sum of two angles fmulas that we developed in the last section. We will let α θ and β θ: cos(θ) cos(θ + θ)

6.003: Signals and Systems. Modulation

6.003: Signals and Systems Modulation May 6, 200 Communications Systems Signals are not always well matched to the media through which we wish to transmit them. signal audio video internet applications

Homework for 1/27 Due 2/5

Name: ID: Homework for /7 Due /5. [ 8-3] I Example D of Sectio 8.4, the pdf of the populatio distributio is + αx x f(x α) =, α, otherwise ad the method of momets estimate was foud to be ˆα = 3X (where

Thermistor (NTC /PTC)

ISO/TS16949 ISO 9001 ISO14001 2015 Thermistor (NTC /PTC) GNTC (Chip in Glass Thermistor) SMD NTC Thermistor SMD PTC Thermistor Radial type Thermistor Bare Chip Thermistor (Gold & silver Electrode) 9B-51L,

Last Lecture. Biostatistics Statistical Inference Lecture 19 Likelihood Ratio Test. Example of Hypothesis Testing.

Last Lecture Biostatistics 602 - Statistical Iferece Lecture 19 Likelihood Ratio Test Hyu Mi Kag March 26th, 2013 Describe the followig cocepts i your ow words Hypothesis Null Hypothesis Alterative Hypothesis

Geodesic Equations for the Wormhole Metric

Geodesic Equations for the Wormhole Metric Dr R Herman Physics & Physical Oceanography, UNCW February 14, 2018 The Wormhole Metric Morris and Thorne wormhole metric: [M S Morris, K S Thorne, Wormholes

Σειρά Προβλημάτων 4 Λύσεις

Σειρά Προβλημάτων 4 Λύσεις Άσκηση 1 Θεωρήστε την ακόλουθη δομή Kripke. {entry} 0 1 {active} 2 {active, request} 3 {active, response} Να διατυπώσετε τις πιο κάτω προτάσεις στην LTL (αν αυτό είναι εφικτό)

Review-2 and Practice problems. sin 2 (x) cos 2 (x)(sin(x)dx) (1 cos 2 (x)) cos 2 (x)(sin(x)dx) let u = cos(x), du = sin(x)dx. = (1 u 2 )u 2 ( du)

. Trigonometric Integrls. ( sin m (x cos n (x Cse-: m is odd let u cos(x Exmple: sin 3 (x cos (x Review- nd Prctice problems sin 3 (x cos (x Cse-: n is odd let u sin(x Exmple: cos 5 (x cos 5 (x sin (x

ΕΡΓΑΣΤΗΡΙΟ ΗΛΕΚΤΡΟΝΙΚΗΣ

ΕΡΓΑΣΤΗΡΙΟ ΗΛΕΚΤΡΟΝΙΚΗΣ ΔΙΠΟΛΙΚΟ ΤΡΑΝΖΙΣΤΟΡ (Μάθημα 11 ο 12 ο 13 ο 14 ο ) 1/23 11 o εργαστήριο Στατικές χαρακτηριστικές κοινού εκπομπού του διπολικού τρανζίστορ 2/23 11 o εργαστήριο Στατικές χαρακτηριστικές

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013

Notes on Average Scattering imes and Hall Factors Jesse Maassen and Mar Lundstrom Purdue University November 5, 13 I. Introduction 1 II. Solution of the BE 1 III. Exercises: Woring out average scattering

Ceramic PTC Thermistor Overload Protection

FEATURES compliant CPTD type are bare disc type CPTL type are leaded Low, medium and high voltage ratings Low resistance; Small size No need to reset supply after overload No noise generated Stable over

Exercises in Electromagnetic Field

DR. GYURCSEK ISTVÁN Exercises in Electromagnetic Field Sources and additional materials (recommended) Gyurcsek I. Elmer Gy.: Theories in Electric Circuits, Globe Edit 206, ISBN:97833307343 Simonyi K.:

Inductive Component Index. Inductance ( nh /μh / mh )

Wound Chip Inductor ( nh /μh / mh ) CM2520-3 2.50 x 2.00 x 1.80 0.010μH~100μH 0.53A~60mA Microtelevisions, liquid crystal television, CM3225-L 3.20 x 2.50 x 2.20 0.12μH~150μH 0.45A~65mA video cameras,

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΗΛΕΚΤΡΟΝΙΚΗΣ ΚΑΙ ΥΠΟΛΟΓΙΣΤΩΝ - ΕΡΓΑΣΤΗΡΙΟ ΗΛΕΚΤΡΟΝΙΚΩΝ ΕΦΑΡΜΟΓΩΝ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΗΛΕΚΤΡΟΝΙΚΗΣ ΚΑΙ ΥΠΟΛΟΓΙΣΤΩΝ - ΕΡΓΑΣΤΗΡΙΟ ΗΛΕΚΤΡΟΝΙΚΩΝ ΕΦΑΡΜΟΓΩΝ ΤΕΧΝΟΛΟΓΙΑ ΠΡΟΗΓΜΕΝΩΝ ΨΗΦΙΑΚΩΝ ΚΥΚΛΩΜΑΤΩΝ ΚΑΙ ΣΥΣΤΗΜΑΤΩΝ

Math221: HW# 1 solutions

Math: HW# solutions Andy Royston October, 5 7.5.7, 3 rd Ed. We have a n = b n = a = fxdx = xdx =, x cos nxdx = x sin nx n sin nxdx n = cos nx n = n n, x sin nxdx = x cos nx n + cos nxdx n cos n = + sin

Capacitors - Capacitance, Charge and Potential Difference

Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal

YAGEO CORPORATION SMD INDUCTOR / BEADS. CLH Series. Lead-free / For High Frequency Applications. CLH1005-H series CLH1608-H series ~1.4 0.

YAGEO CORPORATION SMD INDUCTOR / BEADS CLH Series Multilayer Chip Inductors High Frequency Lead-free / For High Frequency Applications APPLICATIONS RF Resonance and Impedance Matching Circuit RF and Wireless

ECE 308 SIGNALS AND SYSTEMS FALL 2017 Answers to selected problems on prior years examinations

ECE 308 SIGNALS AND SYSTEMS FALL 07 Answers to selected problems on prior years examinations Answers to problems on Midterm Examination #, Spring 009. x(t) = r(t + ) r(t ) u(t ) r(t ) + r(t 3) + u(t +

ULX Wireless System USER GUIDE SUPPLEMENT RENSEIGNEMENT SUPPLÉMENTAIRES INFORMACION ADICIONAL. M1 ( MHz)

ULX Wireless System USER GUIDE SUPPLEMENT RENSEIGNEMENT SUPPLÉMENTAIRES INFORMACION ADICIONAL M1 (662 698 MHz) 2003, Shure Incorporated 27B8733A (Rev. 4) Printed in U.S.A. SPECIFICATIONS ULX1 Transmitter

Thin Film Chip Resistors

FEATURES PRECISE TOLERANCE AND TEMPERATURE COEFFICIENT EIA STANDARD CASE SIZES (0201 ~ 2512) LOW NOISE, THIN FILM (NiCr) CONSTRUCTION REFLOW SOLDERABLE (Pb FREE TERMINATION FINISH) Type Size EIA PowerRating

Chapter 1 Fundamentals in Elasticity

D. of o. NU Fs s ν ss L. Pof. H L ://s.s.. D. of o. NU. Po Dfo ν Ps s - Do o - M os - o oos : o o w Uows o: - ss - - Ds W ows s o qos o so s os. w ows o fo s o oos s os of o os. W w o s s ss: - ss - -

12. Radon-Nikodym Theorem

Tutorial 12: Radon-Nikodym Theorem 1 12. Radon-Nikodym Theorem In the following, (Ω, F) is an arbitrary measurable space. Definition 96 Let μ and ν be two (possibly complex) measures on (Ω, F). We say

Jordan Form of a Square Matrix

Jordan Form of a Square Matrix Josh Engwer Texas Tech University josh.engwer@ttu.edu June 3 KEY CONCEPTS & DEFINITIONS: R Set of all real numbers C Set of all complex numbers = {a + bi : a b R and i =

Λογικά Κυκλώματα NMOS. Διάλεξη 4

Λογικά Κυκλώματα NMOS Διάλεξη 4 Δομή της διάλεξης Η Σχεδίαση του Αντιστροφέα NMOS με Ωμικό Φόρτο Η Στατική Σχεδίαση του Αντιστροφέα NMOS με Κορεσμένο Φόρτο ΟΑντιστροφέαςΝMOS με Γραμμικό Φόρτο ΟΑντιστροφέαςΝMOS

wave energy Superposition of linear plane progressive waves Marine Hydrodynamics Lecture Oblique Plane Waves:

3.0 Marine Hydrodynamics, Fall 004 Lecture 0 Copyriht c 004 MIT - Department of Ocean Enineerin, All rihts reserved. 3.0 - Marine Hydrodynamics Lecture 0 Free-surface waves: wave enery linear superposition,

Numerical Analysis FMN011

Numerical Analysis FMN011 Carmen Arévalo Lund University carmen@maths.lth.se Lecture 12 Periodic data A function g has period P if g(x + P ) = g(x) Model: Trigonometric polynomial of order M T M (x) =

2-1. Power Transistors. Transistors for Audio Amplifier. Transistors for Humidifier. Darlington Transistors. Low VCE (sat) High hfe Transistors

Power Trnsistors -. Power Trnsistors Trnsistors for Audio Amplifier Trnsistors for Switch Mode Power Supply Trnsistors for Humidifier Trnsistor for Disply Horizontl Deflection Output Drlington Trnsistors

An Introduction to Signal Detection and Estimation - Second Edition Chapter II: Selected Solutions

An Introduction to Signal Detection Estimation - Second Edition Chapter II: Selected Solutions H V Poor Princeton University March 16, 5 Exercise : The likelihood ratio is given by L(y) (y +1), y 1 a With

ETS i =1 ETS i = 0 Y it (1) Y it (0) α AT T = E[Y i1 (1) Y i1 (0) ETS i =1], α AT T E[Y i1 (1) ETS i =1] [Y i1 (0) ETS i =1] α AT T α biased AT T = E[ Y i (1) ETS i =1]+E[Y 0i ETS i =1] E[Y 0i ETS i =0].

Math 446 Homework 3 Solutions. (1). (i): Reverse triangle inequality for metrics: Let (X, d) be a metric space and let x, y, z X.

Math 446 Homework 3 Solutions. (1). (i): Reverse triangle inequalit for metrics: Let (X, d) be a metric space and let x,, z X. Prove that d(x, z) d(, z) d(x, ). (ii): Reverse triangle inequalit for norms:

MS SERIES MS DESK TOP ENCLOSURE APPLICATION EXAMPLE FEATURE. Measuring instruments. Power supply equipments

MS SERIES MS DESK TOP ENCLOSURE FEATURE Available in 176 sizes. Screws are not appeared on the surface. Usable as rack mount case with optinal mounting bracket. There are no ventilation hole for cover

(Equipped with static shield, magnetic shieid) (Equipped with magnetic Shieid)

Power Trnsformer PT-0 PT-0 PT-270 PT-260 PT-250 PT-2 PT-2 PT-180 PT-160 PT-0 PT-100 PT-95 PT-60 Specifictions (Equipped wit sttic sield, mgnetic sieid) V-0-280V-3V-360V-7m (450m ;ridge rectifier) 75V-0-75V-0.

(Equipped with static shield, magnetic shieid) (Equipped with magnetic Shieid)

New Power Trnsformer PT-0 PT-310 PT-0 PT-270 PT-260 PT-250 PT-2 PT-2 PT-180 PT-160 PT-150 PT-100 PT-95 PT-60 Specifictions (Equipped wit sttic sield, mgnetic sieid) V-0-280V-3V-360V-7m (450m ;ridge rectifier)