# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

1 Page

### psI2

Course: AST 321, Fall 2009
School: Concordia Chicago
Rating:

Word Count: 250

#### Document Preview

321: Astro Ination 2 Slow Roll Relations Recall the equation of motion for the unperturbed scalar eld a 0 + 2 0 + a2 V = 0 , a the denitions of the slow-roll parameters = = V 1 , 16G V 1 V , 8G V 2 (1) (2) (3) where primes are derivatives with repect to the argument, for V (), and the formulae for the curvature and gravity wave power spectra 2 2 h where mpl = G1/2 . = = H mpl H mpl 2 1 , 4 . (4) (5)...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Illinois >> Concordia Chicago >> AST 321

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
321: Astro Ination 2 Slow Roll Relations Recall the equation of motion for the unperturbed scalar eld a 0 + 2 0 + a2 V = 0 , a the denitions of the slow-roll parameters = = V 1 , 16G V 1 V , 8G V 2 (1) (2) (3) where primes are derivatives with repect to the argument, for V (), and the formulae for the curvature and gravity wave power spectra 2 2 h where mpl = G1/2 . = = H mpl H mpl 2 1 , 4 . (4) (5) 2 1. Chaotic Ination Consider polynomial chaotic ination where V = m2 2 /2. Write down and . Ination will occur if the initial eld 0 (0) = i meets what conditions? 1) with H() ( 1) evaluated with Write down the slow roll equation in coordinate time (d2 0 /dt2 = 0; the Friedmann equation. Solve for 0 (t). Solve for a(t) using the H() relation assume and a(t = 0) = ai . Take = 1 to dene the end of ination. Show that the number of efoldings of ination can be written as N = ln(aend /ai ) = 2 2 1 i 2 2 mpl (6) what is the condition on i such that sucient ination occurs (N > 70). Is it compatible with the slow roll conditions? Write down the curvature power spectrum 2 and gravity wave power spectrum 2 for this model in terms of h . Taking = i dened now as N = 70 above, what is ...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

CSU Channel Islands - ST - 108
#Rcode:Discussion10.Sta108,Fall2007,Utts#ThefollowingisNOTrequiredforyourhomework #OptionalTopic:Moreonexploratorydataanalysis ?summary ?hist ?plot ?par ?points ?legend #Example:GroceryRetailer:Problem6.9 Data=read.table(&quot;CH06PR09.txt&quot;) names(Data)=c(&quot;H
Bluffton University - LIS - 580
1; - z ,I:,1 7 : 7- ,:NEWS FRONTS13would it get shoved into an envelope with a stamp stuck on it?&quot; &quot;One of the important roles of the state library is to provide an interface between citizens and their government,&quot; Marilyn Mason, chair of the Leon C
uofl.edu - ECE - 618
University of Louisville Electrical and Computer EngineeringInstructor: Dr. Mohamed N. Ahmed Fall 2002ECE618: Digital Image Processing (3 Credits. Prerequisites EE420 or EE520, and Faculty consent) Description: Introduction to the theory and application
UPenn - CIS - 110
RecapComputingIntroduction to Programmingwith Java, for BeginnersUse computer to solve a task Why? Inherently faster than humansProgramming LanguageLanguage that humans can write to instruct the computer Fundamentals Part I: Comments &amp; Literals Oper
Colby - EC - 473
WORKING PAPERSRESEARCH DEPARTMENTWORKING PAPER NO. 02-7 CONSISTENT ECONOMIC INDEXES FOR THE 50 STATES Theodore M. Crone Federal Reserve Bank of Philadelphia May 2002FEDERAL RESERVE BANK OF PHILADELPHIATen Independence Mall, Philadelphia, PA 19106-1574
Loyola Chicago - COMP - 484
(load &quot;initnv.txt&quot;)(load &quot;gps1.txt&quot;)(load &quot;gps.txt&quot;)(defun one_per_line (lis) ( cond (atom lis) (print lis) (null lis) nil) ( (eq (length lis) 1) (car lis) (t (print (car lis)(one_per_line (cdr lis);(one_per_line (mapcar #'op-action (make-block-ops
Kentucky - SW - 700401
Assessing Lethality www.suicidology.orgSuicide Stats 11th Leading Cause of Death in US 10.8% National Rate (#suicides/population x 100,000) Highest risk groups: Males (White (19.5%), Native American (10.4%), and African American (8.8%) in particular)
UMass (Amherst) - RESEC - 312
Lab 5: OLS Live and RegressionObjectives: 1. Review OLS. What does OLS mean? What does it accomplish? What do we choose? 2. Create a spreadsheet including the data manipulations needed to estimate a regression line. 3. Given sample data, use Excel to est
Iowa State - NR - 89245
INSIDE GRUNDY COUNTY By Bill Arndorfer Grundy County Extension Education Director May 25, 2007 The summer grilling season is here. This is a good time to remember and apply good grilling practices as you prepare food for your family. The following informa
Lake County - ACE - 564
ACE 564 Spring 2006Lecture 7 Extensions of The Multiple Regression Model: Dummy Independent Variablesby Professor Scott H. IrwinReadings: Griffiths, Hill and Judge. &quot;Dummy Variables and Varying Coefficient Models Chapter 12 in Learning and Practicing E
University of Louisville - SPEED - 206
ME 206 - PraterProblem Set 7 SolutionsPage 1/3Note that this solution assumes the boy throws the bricks at 10 ft/s relative to the wagons velocity after the throw is complete. If we assume he throws at 10 ft/s relative to fhe wagon velocity before the
Rutgers - PHYSICS - 690
Michigan State University - ADV - 465
A case on appeal:Following a trial, any party who believes that the judge made errors in conducting the trial or in applying the law can file an appeal as of right which means that the party has an absolute right to have any judicial errors corrected. So
ASU - MAT - 194
MAT 194/117: STRETCH COLLEGE ALGEBRA Spring 2008 Syllabus The Instructor reserves the right to make changes to this syllabus as needed. SLN: Office Phone: E-mail: MAT194 URL: http:/math.asu.edu/fym/Courses/mat194/mat194.html Tentative Schedule Topics R.5,
University of North Carolina School of the Arts - FIM - 169
UCSB - BREN - 254
ECOLOGY THROUGH TIMEHistorical Overfishing and the Recent Collapse of Coastal EcosystemsJeremy B. C. Jackson,1,2* Michael X. Kirby,3 Wolfgang H. Berger,1 Karen A. Bjorndal,4 Louis W. Botsford,5 Bruce J. Bourque,6 Roger H. Bradbury,7 Richard Cooke,2 Jon
Wisc Stevens Point - BIOL - 101
CHAPTER24EVOLUTION AND DIVERSITY OF PLANTSChapter Outline24.1 Evolutionary History of Plants A. Characteristics of Plants (kingdom Plantae) 1. Plants are multicellular photosynthetic eukaryotes. 2. Plants are believed to have evolved from a freshwater
Maryville MO - FLSGPS - 04001
Boater-Group CharacteristicsThis chapter begins with an overview of the typical survey respondent. This is followed by an evaluation and discussion of responses to specific survey questions. Chapter sections are divided according to themes that describe
Penn State - SCB - 223
Serge BallifMATH 535 Homework 3September 14, 20071. a) Use what you know about linear transformations to prove that dim Col(AB) dim Col(A). b) Use what you know about linear transformations to prove that dim Col(AB) dim Col(B). a) Let fA and fB denote
Wisconsin Milwaukee - PSY - 514
Psy 514: Conditioning and LearningHandout on stimulus control: Factors affecting the shape ofgeneralization gradients1. Definition of terms and procedures:(a) Single stimulus training means only one value of a stimulus isused in training. That one va
Rochester - MATH - 161
5 eed n w w s y n d k r pyn l x ysTeysurcfw_eed x dmk umk k p A i x n k k k % l i n % k k z k p y 5 x ee d n k pymk p i 5 x ee d n uysk d p vt 5 x ee d n l l l n yl%l mk p ii vu v pyv %l mk zi t n l r v i p z l aylmk t 5 eed n n mk ip vt 5 eed d nk t lm
APPM 3570 - Final Exam - May 7, 2003 On the front of your bluebook, print your name, student number and a grading table. Define all notation, events and random variables that you use. Correct answers with no supporting work may receive little or no credit
Southern New Orleans - C - 2121
Lab 26 ExceptionsPurposeThe purpose of this laboratory is to acquaint you with Java's exception mechanism.Setup Create a subdirectory named lab26 in you c2121 directory: Copy all the files from ~c2121/lab26 to your lab26 directory. Open DrJava. If DrJ
Lake County - ECE - 464
Solutions for Assign 4Oct 8 20084.1) Vinmin := 8V Vinmax := 12V Voutmin := 1.1V Voutmax := 3.3V Pmin := 1W Pmax := 100W Vmax := 10mV fsw := 100kHz The current ripple is given by the formula: delta-i = Vout/L * (1-D)/f. The voltage ripple is given by del
Middle Tennessee State University - PSY - 302
Probability, 1Probability LabCartoons Drama Action News College Students 45 35 10 25 Non-College Students 15 30 20 45What is the probability that a person prefers cartoons?What is the probability that a person prefers drama given they are in college?
Oregon - ECON - 450
The Labor Market I. Equilibrium in Competitive Labor Market A. Single competitive labor market 1. efficiency within the market graph of competitive labor marketw* is the wage such that the market clears E*=ED=ES 2. labor market is efficient because: addi
Penn State - MPR - 5049
Reitzel Matthew Reitzel Dr. Peggy Russo English 15 12 September 20061Three Passions:Three passions, three heroes, three goals, that is what controls our daily lives. It is what makes up who we are and how we act in this life. The three things that manl
Western Kentucky University - TXT - 102
Denied Time Off for Ramadan, Brooklyn Students Start PetitionOctober 14, 2004 By JEN BROWN Since moving to Brooklyn from Yemen two years ago, MugeebSweileh has had days off from school for Christmas, theJewish new year and assorted national holidays.
U. Houston - CS - 6360
COMMUNICATING SEQUENTIAL PROCESSESC. A. R. Hoare The Queens University Belfast, North Ireland Comm. of the ACM , 21, 8 (1978), pp. 666-678. 1. Introduction Communicating Sequential Processes (CSP) is a simple programming language designed for multiproces
Clarkson - EE - 211
INTEGRATED CIRCUITSMC1408-8 8-bit multiplying D/A converterProduct data Supersedes data of 1994 Aug 31 File under Integrated Circuits, IC11 Handbook 2001 Aug 03Philips SemiconductorsPhilips SemiconductorsProduct data8-bit multiplying D/A converterM
Lake County - CONF - 134
Meat Processors Purchasing and Sale Practices: Lessons Learned from the GIPSA Livestock and Meat Marketing Study by John D. Lawrence, Mary K. Muth, Justin Taylor, and Stephen R. KoontzSuggested citation format: Lawrence, J. D., M. K. Muth, J. Taylor, and
University of Florida - COP - 4600
#1You are standing at the end of a road before a small brick building.Around you is a forest. A small stream flows out of the building anddown a gully.#2You have walked up a hill, still in the forest. The road slopes backdown the other side of the h
Lake County - CONF - 134
Hedging Cash Flows from Commodity Processing by Roger A. DahlgranSuggested citation format: Dahlgran, R. A. 2005. Hedging Cash Flows from Commodity Processing. Proceedings of the NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Ma
Berkeley - EE - 245
Part (a) The crosssections are attached. Some important points: Etch selectivity greater than 1 increases the sidewall slopes. The most important angle, that of poly2, is almost 90. After all of our etches, only 73 nm of nitride is left. Various process
Dallas - ACM - 041000
Are Preferences Stable Across Domains? An Experimental Investigation of Social Preferences in the FieldAngela C. M. de Oliveira*, Rachel T. A. Croson &amp; Catherine Eckel University of Texas at Dallas CBEES Working Paper #2008-3 9/28/08Abstract: Our resear
Cornell - SD - 386
Susan DanielAssistant Professor of Chemical &amp; Biomolecular Engineering School of Chemical and Biomolecular Engineering Cornell University 120 Olin Hall Ithaca, New York 14853-5201 http:/www.cheme.cornell.edu/cheme/people/profile/index.cfm?netid=sd386 Tel
SUNY Fredonia - CSIT - 241
| r mimd p r s m i @umtTtjetcfw_ltdjcfw_ w @mjuf|@ wr f&amp;ud xv DudmkljiTmtjjd&amp;fdeDmDmjTryfd xv @mjufqtTujtuf 6xv i d d m ~ w i m ~d m i w m k i s i m k i h gfd @W)tjuftljs6e`e i |r r j@ w @RupttTRp m ~d i m f r m ~d ff mi m s r f m i d p s i r f r i d
University of Scranton - SE - 515
&quot;765636234&quot;,&quot;Banet, Michael V.&quot;,&quot;banetm5@scranton.edu&quot;,&quot;Freshman&quot;,&quot;Computer Science&quot;&quot;940459866&quot;,&quot;Breen, Andrew J.&quot;,&quot;breena6@scranton.edu&quot;,&quot;Freshman&quot;,&quot;Computer Information Systems&quot;&quot;654854785&quot;,&quot;Chirkot, Thomas S.&quot;,&quot;chirkott5@scranton.edu&quot;,&quot;Freshman&quot;,&quot;Comp
MN State - CHEM - 380
22. Spectrophotometric Analysis of a Mixture: Caffeine and Benzoic Acid in a Soft Drink1In this experiment we use ultraviolet absorbance (Figure 1) to measure two major species in soft drinks. Caffeine is added as a stimulant and sodium benzoate is a pre
Stanford - ACM - 106
The method of conjugate gradientsThe conjugate gradient iteration is as follows: Start with k = 0, x0 = 0, r0 = b and p0 = r0 Repeat 1. k = k + 1 2. q = Apk1 3. k = rk1 rk1 /(p q) k14. xk = xk1 + k pk1 5. rk = rk1 k q 6. k = rk rk /rk1 rk17. pk = rk
Utah - PHYSICS - 3760
Lecture # 14 Radiation Photons are &quot;particles of electromagnetic radiation&quot; Photons are bosons, any number of photons can be put in a quantum state. If photons are in equilibrium with some body (reservoir) at temperature T then the average number of photo
Santa Clara - CSE - 177
MINIX on Linux/VMwareCOEN 177 Operating Systems Silvia Figueira Fall 2007 Lab 1In week 1, there will be two labs to help you get used to the MINIX environment. You don't need to submit any code for these labs, but you need to demo to the TA in the lab.
University of Louisiana at Lafayette - SXG - 5317
EECE/CMPS 585: Assignment 4Due on Nov 30, 2005Dr. Magdy BayoumiPrepared by : Soumik Ghosh1Soumik GhoshEECE/CMPS 585 (Dr. Magdy Bayoumi ): Assignment 4Problem 1Problem 1Suppose one cycle of logic is particularly critical and the next cycle is near
Delaware - CISC - 2602008
CISC 260 Machine Organization and Assembly LanguageLecture 10two* there are 10 kinds of people in the world - those who grock binary, and those who do not.CISC 260 Fall 2008 Lecture 02Slide 1Agenda Course Administrivia (rerun, w/ places &amp; times) Ske
Cal Poly Pomona - PSY - 334
Chapter 10 Language Production_ _ _ _ _ _ __Language production We've talked about rules for constructing sentences, what are the rules in conversing? Constructing sentences is different from communicating Language, communication, depend on: 1. What i
Wisconsin Milwaukee - C - 106
Announcements Test 1 will be on Thursday. Study guide was posted last week. Test will cover chapters 1 and 2History of Refrigerators Early refrigerators used SO2 and ammonia TOXIC gases - leaks were dangerous Needed something that worked as a refriger
Case Western Reserve University - ASTR - 306
S/N is per pixel=KPNO 2.1 mtr Setup 1-Slit width 1&quot;, slit length 600&quot;An unbroadened spectral line will be 3 pixels wide FWHMEach pixel is 1.5 Angstroms = 80km/s at 5500AVelocity accuracy at S/N 20 ~ 15km/sVelocity accuracy at S/N 5 ~ 40km/sV Mag
Virginia Tech - AOE - 5104
Blasius TheoremAOE 5104 Advanced Aero- and Hydrodynamics Dr. William Devenport and Leifur Thor LeifssonBlasius Theorem - BasicsFinding the force and moment on any region in ideal flow Force and Moment on a Body: p iy dx ds diy Fy MO Fx xFx - iFy = p (
Michigan - M - 115
Math 115, Calculus I, 19585Fall, 2003 Instructor:Name: e-mail: Office: Phone: Office Hours: Neil Epstein epstein@math.ku.edu 555 Snow Hall 864-3659 Wed. 2-3pm; Friday, 10-11am; and by appointment Also, feel free to just drop in. I will frequently be in
UCSD - ECE - 222
2. J.S. Hong and M.J. Lancaster, Microstrip lters for RF/microwave applications, Wiley, New York, 2001. 3. M. Makimoto and S. Yamashita, Bandpass lters using parallel coupled stripline stepped impedance resonators, IEEE Trans Microwave Theory Tech 28 (198
Idaho - FSTMMBB - 417
EHEC TUESDAY, DECEMBER 2, 2008: VIP for EHEC (BIOCONTROL): Sample preparation and enrichment (18-28 hours at 3537oC) 1. Food sample: 25 g per team 2. Modified Trypticase Soy Broth + Novobiocin medium: 225 ml per team 3. 35-37oC incubator Reveal EHEC Test
Maryland - CMSC - 828
Questions Homework ProjectsEarly example: Astrolabe (Middle Age) Convenient interface to complex computationBabbage Difference engine (~1840) Original design Replica (British Museum)ENIAC (1943) A general view of the ENIAC, the world's first all el
Miramar College - CISC - 190
1 7Data Structures1 1992-2007 Pearson Education, Inc. All rights reserved.2Much that I bound, I could not free; Much that I freed returned to me.- Lee Wilson Dodd`Will you walk a little faster?' said a whiting to a snail, `There's a porpoise close
Binghamton - CS - 528
CS 528 Project 2: Overlay Network ConstructionDue Tuesday 11/12 in classIntroduction: This project asks you to implement an application level network (what is known as an overlay network) using processes and socket connections. You can work in pairs, bu
Clemson - WS - 301
Women in Pop Music1950'sEarly 1980Marsh Hunt comparing options available to women in the music industry: &quot;You've got to slip in through the side-door, once in do your damage, but you're kidding yourselves if you think you will get in on your own terms.&quot;
Michigan Flint - BUS - 181
Sheet1 Shelly Cashman Series Lab - Exploring the Computers of the Future Name _ Course and Division _Date _Page 1 of 2As you step through the Interactive Lab, answer the following questions in the spaces provided. For multiple choice questions, enter t
Berkeley - SUNSITE - 004
Err 1. l back c'~'\lMcir cvcics elf Ibc polymernsc chain rcnclion resullb,~ in Ihc eightfold amplification of a template sequence del howl by I lo 5' evicts til IWU p'huc'S l~ybritli'.etl It, Ail l le'cul blInntlS til the Icn~ph~l c flu c tlepicl ctl
Miramar College - BIO - 160
Chapter 23: The Respiratory SystemI. The Respiratory System: An Introduction, p. 814 Objectives: 1. Describe the primary functions of the respiratory system. 2. Explain how the delicate respiratory exchange surfaces are protected from pathogens, debris,
Concordia Chicago - AST - 321
Astro 321 Lecture Notes Set 4Wayne HuHorizon Problem The horizon in a decelerating universe scales as a(1+3w)/2 , w &gt; -1/3. For example in a matter dominated universe a1/2 CMB decoupled at a = 10-3 so subtends an angle on the sky = a1/2 0.03 2 0 So why
Wisconsin - CS - 536
/ This file contains a complete JLex specification for a very small/ example./ User Code section: For right now, we will not use it.%/ JLex Directives section:/ Macro definitionsDIGIT=[0-9]LETTER=[a-zA-Z]WHITESPACE=[ \t\n] / space, tab, newline
Fayetteville State University - STA - 5707