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Washington - MATH - 526
B. SolomyakMath 526Spring 2003Assignment 5Due Wednedsday, May 7Reading: 7.3, 3.3, 7.4 from Folland. Problems from Folland: 12, 13 from 7.2; 17, 22, 24 from 7.3
Washington - MATH - 526
B. SolomyakMath 526Spring 2003Assignment 6Due Wednedsday, May 14Reading: 8.1, 8.2 from Folland. Problems from Folland: 1, 3, 4 from 8.1; 8, 9 from 8.2
Washington - MATH - 526
B. SolomyakMath 526Spring 2003Assignment 7Due Wednedsday, May 21Reading: 8.3 from Folland. Problems from Folland: 13, 14, 18, 20 from 8.3 NOTE: there is a typo in 18(b): the integral in LHS should be squared.
Washington - MATH - 526
B. SolomyakMath 526Spring 2003Assignment 8Due Wednedsday, May 28Reading: 8.3 and 8.6 from Folland. Problems from Folland: 15, 16 from 8.3 (note that there are several little typos in these problems) 40, 41 from 8.6
Washington - MATH - 526
B. SolomyakMath 526Spring 2003Assignment 9Due Wednedsday, June 4Reading: 10.1-10.3 from Folland. Problems from Folland: 10.2(a), 10.9 from 10.1 10.13, 10.14, 10.15 from 10.2
Washington - MATH - 309
Math 309 A HOMEWORK #4Spring 2009READ Sections 9.1-9.4 (skim); make sure you understand Table 9.1.1, Figure 9.1.9, Theorem 9.3.2 (statement) and Table 9.3.1. Turn in the following problems at the beginning of the class on WEDNESDAY, May 6: 9.3: 1
Washington - MATH - 309
Math 309 A HOMEWORK #5 READ Sections 10.1 and 10.2.Spring 2009Turn in the following problems at the beginning of the class on WEDNESDAY, May 13: 10.1: 5, 9, 16, 17; 10.2: 14, 16, 17.
Washington - MATH - 309
Math 309 A HOMEWORK #6 READ Sections 10.3 and 10.4.Spring 2009Turn in the following problems at the beginning of the class on WEDNESDAY, May 20: 10.3: 5, 6; 10.4: 8, 11, 12, 16, 17, 19.Note that 10.4 #8, 11, 12 don't require any computations (j
Washington - MATH - 309
Math 309 A HOMEWORK #7 READ Sections 10.5 and 10.6.Spring 2009Turn in the following problems at the beginning of the class on FRIDAY, May 29: 10.5: 2, 6, 7, 18, 19; 10.6: 2, 4, 6, 11(a), 13(a),(d).
Washington - MATH - 309
Math 309 APreparation for MIDTERM 2Spring 2009The test will be on Friday, May 29. It will cover 9.3, 10.110.6. You can bring one standard 8 11 sheet of handwritten notes (no printed materials), 2-sided is OK. No calculators or other electronic
Washington - MATH - 309
MATHEMATICS 308COMPLEX NUMBERSThe introduction of complex numbers in the 16th century made it possible to solve the equation x2 + 1 = 0. These notes present one way of dening complex numbers. The Complex Plane. A complex number z is given by a pa
NYU - SB - 513
Phonetics and Phonology of Transparent Vowels in HungarianSTEFAN BENUS, ADAMANTIOS GAFOS, LOUIS GOLDSTEIN New York University, Haskins Laboratories, Yale University1. Introduction Vowel harmony is a requirement by which vowels in a certain dom
NYU - SB - 513
Gestural coordination and the distribution of English "geminates" Stefan Benus, Iris Smorodinsky, and Adamantios Gafos 1. IntroductionRecent work has argued that phonology includes grammatical principles and representations that refer to the tempora
NYU - SB - 513
The role of prosody in the pragmatic meaning of `whatever'Stefan Benus, New York University January, 2001 In this paper, I investigate the role of prosody in cueing negative pragmatic meaning associated with the use of `whatever'. I suggest that the
NYU - SB - 513
Deriving Consonant Cluster Phonotactics: Evidence from Singapore English Arto Anttila, Vivienne Fong, Stefan Benus, Jennifer NyczNew York University National University of Singapore and New York University1.OverviewConsonant clusters are o
Washington - MATH - 324
Math 324 B EXTRA CREDIT ASSIGNMENT #1 Turn in on Monday, October 14, at the beginning of the class. (This is OPTIONAL; you wont be penalized for not doing this assignment.) 1 (up to 5 points of extra credit) Show that arctan(x) arctan(x) dx = ln x
Washington - MATH - 324
Math 324 B EXTRA CREDIT ASSIGNMENT #3Fall 2002Turn in on Monday, November 25, at the beginning of the class. (This is OPTIONAL; you won't be penalized for not doing this assignment.) Do problem 2 from "Problems Plus" at the end of Chapter 16 (17)
Washington - MATH - 324
Math 324 BQUIZ 1 SAMPLE PROBLEMSFall 20021. Find the volume of the solid bounded by the surface z = 4 - 4xy and the planes z = 0, x = 0, y = 1, and y = x. 2. Set up (but do not evaluate) the triple integrals needed to find the center of mass of
Washington - MATH - 309
Math 309 AANSWERS TO PRACTICE PROBLEMSSpring 20091. For each of the following, (a) determine the order of the ODE, (b) state whether the equation is linear or nonlinear, (c) find constant solutions, if any. (i) t2 y + ty + 2y = sin t; (ii) (1 +
Washington - MATH - 425
Math 425/575HOMEWORK 1 ANSWERS/SOLUTIONSWinter 20074.58. (b) x = 0 is a discontinuity; f (0-) = f (0) = 0, f (0+) = +. (c) x = 0 is a discontinuity; f (0-) does not exist; f (0+) = +. (d) f (0-) = 1, f (0+) = 0, so x = 0 is a jump discontinuity
Portland - PH - 223
Including relativistic effects into the Doppler Effect Observer: stationary Source: in motionAuBu TBTB is the period of the wave (measured by the observer B)c TB After one pulse is emitted, the second pulse is not emitted but after TB se
Oakland University - CSE - 598
Lance Gallop Protein-Protein Interactions: Predictions and Web Portal Computational Biology For the duration of this project I was the technical half of a two person team: my responsibilities were to analyze, upgrade, and ultimately re-code an existi
Washington - MATH - 425
Math 425/575HOMEWORK 2 ANSWERS/SOLUTIONSWinter 20075.10 We argue by contradiction. Suppose that f (x) A R (not infinity) as x b-. By the definition of the limit, there exists c (a, b) such that |f (x)| |A| + 1 for all x (c, b). By the Mea
Washington - MATH - 425
Math 425/575 5.31. Since f (t)2HOMEWORK 3 ANSWERS/SOLUTIONS = f (t) f (t) = const, we haved [f (t) dtWinter 2007 f (t)] = 2f (t) f (t) = 0.5.33. It is clear that D1 f (x, y) and D2 f (x, y) exist for (x, y) = (0, 0). Since f (x, 0) = f (0
Portland - PH - 223
KEY SOLUTION05/07/01PHYSICS 223 Exam #1NAME_Use g= 10 m/s2 in your calculations. Wherever appropriate answers must include units.1. Fig. 1a shows a spring, 20 cm long. The spring gets compressed 2 cm when a block of mass M1 = 0.2 Kg. is att
Portland - PH - 223
05/07/03PHYSICS 223 Exam #1NAME_Feynman_Please write your name also on the back side of this examUse g = 10 m/s2 in your calculations. 1. 1A A uniform thin stick of mass M = 0.2 Kg and length L = 60 cm is pivoted at one end. The period of oscil
Portland - PH - 223
Including relativistic effects into the Doppler Effect Observer: stationary Source: in motionAuBu TB c TBTB is the period of the wave (measured by the observer B)After one pulse is emitted, the second pulse is not emitted but after TB seco
Washington - MATH - 426
B. SolomyakMath 426/576 REVISED syllabus FUNDAMENTAL CONCEPTS OF ANALYSIS IIISpring 2004 Instructor: Boris Solomyak, Room C-328 Padelford, Oce Phone 685-1307. Email: solomyak@math.washington.edu Oce Hours: Mondays 5:00-5:45, Thursdays 1-2, or
Portland - PH - 223
Laser Telecommunication ExperimentLASERModulator Photo-detectorA diagram of our laser telecommunication kit.Electric signalLaser beamModulatedelectric signaltimeLaserModulatorThis picture represents how human voice (sound signals)
Portland - PH - 223
KEY SOLUTION05/07/01PHYSICS 223 Exam #1NAME_Use g= 10 m/s2 in your calculations. Wherever appropriate answers must include units.1. Fig. 1a shows a spring, 20 cm long. The spring gets compressed 2 cm when a block of mass M1 = 0.2 Kg. is att
Portland - PH - 223
Physics 223M ay 7th, 2001M idterm Exam12Number of students10 8 6 4 2 0 60 65 70 75 80 85 90 95 100G r a d e
Berkeley - IB - 168
IB 168: Systematics of Vascular PlantsSpring 2009Key concepts - Lecture 3 (1/28/09; end of Phylogenetics/Tracheophyte introduction) Not all shared characteristics are informative about phylogenetic relationships Hennig (1966): Shared, derived cha
Berkeley - IB - 168
Lecture 8: Key Concepts (Conifers)IB 168 Spring 2009As noted last time, seeds arose during the upper Devonian (~350 million years ago), a time of wet climate during the Paleozoic; based on that climatic setting, evolution of the seed was probably
Berkeley - IB - 168
Key Concepts - Lecture 9 (cycads, ginkgos, and gnetophytes) Reading: Today pp. 108118; next Wednesday -IB168: Spr 2009I. Cycads - Monophyletic group, variously recognized as division (Cycadophyta), subdivision (Cycadicae), or order (Cycadales).
Berkeley - IB - 168
Key Concepts - Lecture 12 (Caryophyllales) pp. 238-249 in Simpson Caryophyllales - Well-supported monophyletic group.IB 168 Spring 20091) Synapomorphies of Caryophyllales (diagnostic characteristics): a) Betalains - alkaloid-like vacuolar pigment
Berkeley - IB - 168
IB 168. Systematics of Vascular Plants Lecture Notes, March 11th, 2009 B.D. Mishler 2-6810 bmishler@berkeley.edu"Speciation" = DiversificationTwo fundamental kinds of things in evolutionary theory (Hull, Dawkins): replicator = things of which copi
Berkeley - IB - 168
Key Concepts - Lecture 15 (pollination) Reading: pp. 465-472 in SimpsonIB 168 Spring 2009Plant dilemma - rooted in place (as sporophyte) but must mate with other plants and must disperse young to new safe sites. Two major types of dispersal in se
Berkeley - IB - 168
Key Concepts - Lecture 16 (BIOSYSTEMATICS 1)Spring 2009 IB 168Biosystematics: Originally (in 1930s), the term referred to the use of biological criteria in refining the system of classification. Mostly applied in studies of young lineages (that i
Berkeley - IB - 168
CornaceaeCornalesPolemoniaceaeEricalesPrimulaceae Theaceae EricaceaeAsteralesAsteraceae 8 Campanulaceae ApiaceaeApialesAdoxaceae/ Dipsacales Caprifoliaceae 7 Boraginaceae Solanales Convolvulaceae Solanaceae 1 2 6 3 5 Rubiaceae Apocyna
Berkeley - IB - 168
IB168 - Key Concepts: MonocotsSpring 2009Monocots were once believed to be the sister group to dicots; actually, monocots are one of three major lineages branching off above the ANITA grade (the other two being magnoliids and eudicots) and the on
Berkeley - IB - 168
Lecture 24: "Graminoid" monocotsIB 168, Spring 2009Graminoid monocots: A clade in Poales of usually wind-pollinated taxa, sister to Bromeliaceae and without showy flowers. Three families of graminoid monocots have a worldwide distribution and are
Portland - PH - 223
Tentative Tutoring Schedule Spring 2005Skills Enhancement and Tutoring Center 425 SMSU 503/725-4457 www.setc.pdx.eduPlease be aware that tutors may be absent due to illness or emergencies. Thank you. Subject Areas BiologyBiology 103, 253 Biology 1
Portland - PH - 223
Tentative Tutoring Schedule Spring 2005Skills Enhancement and Tutoring Center 425 SMSU 503/725-4457 www.setc.pdx.eduPlease be aware that tutors may be absent due to illness or emergencies. Thank you. Subject Areas BiologyBiology 103, 253 Biology
Portland - PH - 223
___http:/www.physics.pdx.edu/~larosaa/Phy-222/Physics-222.html Summer-2003 Dr. Andres La Rosa Room SB1 107 Office: SB-2-Room 418 MTWRF 11:45-14:05 PM Ph:725-8397 andres@pdx.edu http:/www.physics.pdx.edu/~larosaa/ Office Hours: M: 14:30-15:30Phy
Portland - PH - 223
PHYSICS 2231. 2. 3. What is dispersion? What is a birefringent material? Concept of optical axis. Why does the speed of light depend on the polarization of the electric field. Two observers A and B synchronize their clock to t = t' = 0 when they pas
Portland - PH - 223
ProjectReportSeismicWavesPORTLANDSTATEUNIVERSITY PHYSICS213SPRINGTERM2005Instructor:Dr.AndresLaRosa StudentName:PriscilianoPeraltaRamirezTableOfContents1. CoverSheet 2. TableOfContents 3. Abstract 4. Introduction 5. Content 6. Conclusion 7.
Portland - PH - 223
Project ReportSeismic WavesPORTLAND STATE UNIVERSITY PHYSICS 213SPRING TERM 2005Instructor: Dr. Andres La Rosa Student Name: Prisciliano Peralta-RamirezTable Of Contents1. Cover Sheet 2. Table Of Contents 3. Abstract 4. Introduction 5. Con
Portland - PH - 223
HARMONIC OSCILLATIONS(Worth 2 extra points for the midterm exam) 1 a) Write the simple harmonic oscillator equation of motion for an oscillator of natural frequency 0 . b) Show, by explicitly calculating the derivatives, that both functions x1 (t )
Portland - PH - 223
1. WAVE PROPAGATION(Worth 2 points for the midterm exam) A long string has linear mass density 0f 556 gr/m and is stretched with a tension of 5 Newtons. 1.A A pulse is propagating to the right of the x-axis. At t=0 the shape of the wave is described
Portland - PH - 223
Physics 223Homework #1 Due date: 04/16/ 2001NAME_ Wherever appropriate answers must include units. Explicit and clear procedure of how did you obtained your answers is required 1. A particle moves in a circumference of radius R = 15 cm (the circumf
Portland - PH - 223
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Portland - PH - 223
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Portland - PH - 223
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Portland - PH - 223
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Portland - PH - 223
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Washington - MATH - 425
Math 425/575Local InvertibilityWinter 2005Proposition. Suppose f : S Rn is continuously differentiable, from an open subset S Rm . Let a S. (i) If m > n and rank (Df (a) = n, then f is locally onto but not locally 1-to-1 near a. (ii) If m <
Washington - MATH - 425
B. SolomyakMath 425A/575A FUNDAMENTAL CONCEPTS OF ANALYSIS IIWinter 2004 Instructor: Boris Solomyak, Room C-328 Padelford, Office Phone 685-1307. Email: solomyak@math.washington.edu Office Hours: Monday 4:005:00, Wednesday 1:30-2:30, or by app
IUPUI - N - 241
<html> <head> <title>Head First Lounge</title> </head> <body> <h1>Welcome to the New and Improved Head First Lounge</h1> <img src="drinks.gif"> <p> Join us any evening for refreshing <a href="beverages/elixir.html