Scratch Ticket Game Closing Analysis

Size: px
Start display at page:

Download "Scratch Ticket Game Closing Analysis"

Transcription

1 TEXAS LTTERY CMMISSI Scrtch Ticket Ge Closing Anlysis SUMMARY REPRT Instnt Ticket Infortion Dte Copleted 3/ 10/ 2017 Ge# 1810 Confired Pcks 2, 084 Ge e Universit of Texs Active Pcks 1, 519 Quntity Printed 10, 206, 150 rehouse Pcks Price Point 1 1 Returned Pcks 153 Strt Dte 9/ 6/ 2016 Printed Pyout Percentge 59 98% Top Prize 1 $ 3, 000 Percent Sold uber of Top Prizes Reining 2 uber of eeks ut 26 Current Ge Sles Anlysis TAGIBLE CSTS Expenditure Ipct: Cost to print tickets Licensing Fee 176, 400 on- csh Prize Alloction 431, 350 Actul ticket production costs Prize pyout expense 4, 877, 481 Dt fro Instnt Ticket Tier Libility screen in ES Estited Direct Costs 5, 485, 231 TAGIBLE BEEFITS Revenue Ipct- Estited sles 9, 523, 359 Bsed on# of tkts printed, ties% sold fro DVinci report, ties the price point Totl Estited Benefits $ 9, 523, 359 Excess of Revenue over Expended $ 4,038, 128 ITAGIBLE PSITIVE BEEFITS Allows for open bin spce for new ges t se price point with higher verge weekly sles Allows retilers to return inventory to TLC tht is not selling thus relesing their finncil burden ITAGIBLE EGATIVE BEEFITS There re still vluble prizes reining in this ge Assuptions Estited sles revenue is clculted bsed on the nuber of tickets printed ties the percent sold fro the DVinci report The percent sold ount is bsed on pck settleents Soe prtil pcks could be returned thus slightly reducing the sles revenue ount reported bove eekly Sles Coprison Infortion Previous 3 eeks Sles fro DVinci Most recent week sles 83, 000 ext week 92, 813 ext week 170, 742 Avg eekly Sles Current Ge 115, 518 Avg eekly Sles$ 1, 1M M Qty 557, 959 Percentge f Vrince In Sles 79% Pge 1

2 TEXAS LTTERY CMMISSI Scrtch Ticket Ge Closing Anlysis RECMMEDATI AD APPRVALS Instnt Ticket Infortion Ge# 1810 Printed Pyout Percentge 5998% Ge e University of Texs Actul Pyout Percentge 5573% 1 Percent Sold 93319/ 61 uber of eeks ut 26 Averge# of eeks for 85% Sell- through for Se Price Point Ge ith Siilr Print Run 18 Recoendtion Bsed on the findings in this Sury Report, I recoending closing the bove ge I recoending closing the bove ge bsed on the below business reson( s) Instnt Product Coordintor Dte Prod cts nger Dte By signing below, I gree with the recoendtion of the Products Deprtent Stff to close the bove ge Lottery pertions Division Director ed gr Contror'- o Executiv, Dte Pge 2

3 o D p p c S 0 V V V V V V > V V J V V V J V V V V A J V CT J J J C ( ( T > ( n ( A V A 0 ( V V ) A Fp ( p (. y EA di EA EA EA EA E9 fa di fa fa fa E9 bi fa Efl EA fa CT 01 df fa f9 fa ( fl fa fa EA U V V ( n t0 CT A A CT V ( 0 0) Ut IJ IJ co > A tj _> > -+ I t0 > > > CT A V A A ) 0).. pp J > J A > > t0 C ( c0 C A C 00 A (. ( J. ft ( 0 ft V A V A ( T V < T A J V t0 V V ( T 0 ( T Vi ( T CT ( T f9 M En S to 5 C 0' - 0 M D X XZ X o 2 X - z cc/) ZZw oz C DDxoZ n = Ap x u Z Z Cn D w Z z 710 UU 9) 50 T AD G1 0 D 0! A 0 0 SR IC, AV V ) o 0 V 0 > A 0 C V 0 V ) RI Q 0) Et p lit ii A M A f o 0 A Cj A CD CV C ( T C ( li ( T C C CV ( T C. A T o > ( T > t0 ( Vt P A V V A A A A > C CT U > ( A f EA ffl ( A EA Hi fa fa EA EA la la E» M> < p y Vi fa EA Efl fa fa fa fa fa A A CD fa fa fa E9 69 [ fl fa U ( J >_ l.i A V A IJ t0 C0 T J V V T J ( > A D A A D V D A J C CD U A ( n IT. - IJ V A Ag A o V A t0 tit J A o o A A A A I J Cn ( V Ut A A A CT Ut ( T o o o o o o o o o o o o o o 0 o o 0 o o 0 o o o o 0 0 o o o o o to f9 EA EA fa E9 fa EA ( A f9 fa

4 I 9 s i I f c C ' A 8 y o«x oo o. o «o o n? is 0 o 9 Q r fi 8 $ $ 8 8 ; $ ss ssss' gs o8 i5 8 sr. 8, Ho $ ; d ' 8,-. 8 : 8 8, 8 8' ; , ' 8 s 0 ox

5 ESIPS Pge of Libility for YDY/ for Life todte Product Sttus Active SrtChEnb ed / A utstnding Prizes Vlidtion Rnge. 08/ 18/ 2016' 12/ 31/ 2037 Tickets Tier Ref SrtCoh Tier Vlue Count Aount Dote pid Aount Pid % Est Tickets Life to L/ hetodte pid Sold $ $ % / A $ / A o % / A s / A s $ S $ % s $ % / $ / $ Y S $ / A $ % / $ % / A $ / A s $ / A $ Y / A s / A $ / A S / A $ / A s s % $ / A $ % / A s $ % / A s $ % / A $ / A $ % s Y / A $ U / A $ $ Totls , `270 $ 4' htt» :/ 6rndowob.Lxlol1l0tt/ ipo/" nuzc]llub/l/h/} uqu/ ry}] blih/ do?' nacfiuu=gocl.iub/ h19[ og... 3/ 6/ 2017

6 6 PRICIG PER THUSAD PRICIG Description Quntity Unit Price Unit Price Add le 1. Bse Ticket Price 10, 080, ) 000 per 1000 order qty( trix- interpolted)] All prices in USD Subtotl Per 1000: TTAL RDER PRICE: The Totl rder Price bove is n estite for the full order quntity, nd y differ fro the invoice bsed on ctul tickets delivered The cost of nufcturing is contrctully wived by SGI s it n MDI ge TX- Texs Lottery July 7, Scientific Ges j 1810" THE UIVERSITY F TEXAS" Version 1 All Rights Reserved

7 E CLLEQrI C" LIC c) The TLC shll indicte tht rights to use the Property hve been obtined fro Copny in ny press releses issued by the TLC relting to ny lottery ges, including ssocited prootionl events, using the Property. d) The TLC grees to plce ny pplicble ptent rkings on the ticket bck s pproprite s y be required by Licensoi or Copny. e) The TLC shll provide Licensor with sples of point of sle, dvertising, rket nd other prootionl terils if Licensor so requests f) The TLC shll provide SGI with the following sples for the Ge, s pproprite i. Five( 5) pcks of voided lottery tickets; it Ten( 10) sples of ll point-of-sle nd printed dvertising pieces, Six( 6) sples of retiler sell- in nd relted counictions terils, iv. Six( 6) sples of ll out of hoe dvertising; nd v Two( 2) dubs of ll TV ndloi rdio dvertising PRICIG ) The TLC.shll py SGI licensing nd sponsorship rketing support fee( the" Fee") for the Ge equl to one nd three qurters percent( 1. 75%) of ctul sles, provided tht the totl Fee will not exceed one hundred seventy- six thousnd four hundred dollrs($ 176,400 00). b) The TLC shll llocte four hundred twenty- four thousnd eight hundred dollrs 424,800.00)( hereinfter, the" Goods nd Services Fee") for seven hundred twenty 720) erchndise prize pcks, s such prize pcks re ore fully described in Merchndise Prize Pcks nd Ticket Specifictions" below ( hereinfter, the Merebndise Prize Pcks") Ech Merchndise Prize Pck is vlued t five hundred ninety dollrs ($ ) For clrity, the TLC shll only py for.merchndise Prize Pcks tht re ctully fulfilled nd the xiu Goods nd Services Fee is tour hundred twenty-four thousnd eight hundred dollrs ($ 424,800 00) In the event ore thn seven hundred twenty ( 720) Merchndise Prize Pcks re clied, or Merchndise Prize Pck is not clied, the TLC shll hve no obligtion to py for ny such excess of ny unclied prize. TX-Texs Lottery July 7, Scientific Ges. 1810" THE UIVERSITY F TEXAS" Version 1 All Rights Reserved

8 i C C C C C C C C c C c c C c C C.. 0. Z z Z Z Z z Z Z Z Z Z Z Z Z Z Z 0 LL Lc c c c c c c c c c c c c c c c d ZZZZZZZ 60). Z Z Z Z Z Z Z Z C C 3 : 3 V 04 C) ti o) co n ) ) V () ) ) M ) rn ) ) ) ) n Z Z i Z Z Z Z Z to U Z Z Z L ss (» 64 co 0 E T E 0 C fl- = C\j c ) L C C Y Y C Y Y r ) ) C C C C r M 04 zzzz zzz 0) z - cn y i n d Q n. MM ' Y t0 h 00 to ' d Q c Q C7 Q C'J r o L E ~ co 00 M co 4 4- y CD M ' V' ( o ) A V M co M ( D d' n M D ( D M - It 00 0 ) ) &- ) ( ) ) ) ) p V 4' D z o zzz Z c ZZZ f- co L Q EA 69 ( A ( R E 7 Z C p2 ( D M Y M co co M Y C ) ) M C r ( D c c C V ch Z > Z > Z Z i C +-' Q o Q ILIL u U. Z ( fl Z E fl e» ( s» d * p d r ) Z Z ) ) M ) ) ) ) ) ( D ) ) ) M 1 L Z Z ( D Z Q) Z Z Z Z z ( D Z Z L p Q31 w to C coo co L co

TEXAS LOTTERY COMMISSION. Scratch Ticket Game Closing Analysis SUMMARY REPORT. Current Game Sales Analysis 18, 078, 592 I

TEXAS LOTTERY COMMISSION. Scratch Ticket Game Closing Analysis SUMMARY REPORT. Current Game Sales Analysis 18, 078, 592 I TXAS TTRY ISSI Scrtch Ticket Ge lsing Anlsis SUARY RPRT Scrtch Ticket Infrtin Dte lete 3/ 26/ 218 Ge# 211 nfire Pcks 2, 145 Ge e 5 r$ 1! Actie Pcks 1, 19 Quntit Printe 6, 82, 25 rehuse Pcks Price Pint

More information

Scratch Ticket Game Closing Analysis

Scratch Ticket Game Closing Analysis TEXAS LTTERY CISSI Scratch Ticket Gae Clsing Analysis SUARY REPRT Scratch Ticket Infratin ate Cpleted 7/ 31/ 2017 Gae# 18311 Cnfired Packs 1 2, 519 Gae ae Lucky 7 FI i ulti leer Active Packs 1, 738 Quantity

More information

Scratch Ticket Game Closing Analysis

Scratch Ticket Game Closing Analysis TEXAS LTTERY ISSI Sctch Ticket Ge lsing Anlysis SARY REPRT Sctch Ticket Inftin Dte pleted 7/ 3/ 217 Ge# 1, 7951 nfied Pcks 3, 773 Ge e Instnt Bin Active Pcks 1, 547 Quntity Pinted 35, 193, 5 ehuse Pcks

More information

Scratch Ticket Game Closing Analysis SUMMARY REPORT

Scratch Ticket Game Closing Analysis SUMMARY REPORT TEXAS LTTERY SS Sctch Ticket Ge lsing Anlysis SUARY REPRT Sctch Ticket nftin Dte pleted 6/ 29/216 Ge# 1737 nfied Pcks 13, 431 Ge e Hit$ 5, Active Pcks 7, 752 untity Pinted 1, 279,3 ehuse Pcks 13 Pice Pint

More information

Weekly`Sales Comparison Information,

Weekly`Sales Comparison Information, v' TEXS LTTERY CMMISSI Scratch Ticket Gae Clsing nalsis SUMMRY REPRT Scratch Ticket Infratin Date Cpleted 5/ 8/ 21 Gae# 1811 Cnfired Packs 4, 52 Gae ae Texas Lteria ctive Packs 1, 64 Quantit Printed 2,

More information

Scratch Ticket Game Closing Analysis

Scratch Ticket Game Closing Analysis TEXAS LTTER MMISSI Sth Tiket Ge lsing Anlsis SUMMAR REPRT Sth Tiket Inftin Dte plete 11/ 7/ 216 Ge# 178 nfie Pks 1, 43 Ge e Queen f S es Ative Pks 1, 255 Quntit Pinte 7,32, 375 1 ehuse Pks 3, 354 Pie Pint

More information

Scratch Ticket Game Closing Analysis

Scratch Ticket Game Closing Analysis TEXAS LTTERY CISSI Scrtch Ticket Gme Clsing Anlysis SUARY REPRT Scrtch Ticket Infrmtin Dte Cmpleted 7/ 5/ 217 Gme# 1387 Cnfirmed Pcks 5, 94 Gme me 5 Extreme Csh Blst Active Pcks 2, 612 Quntity Printed

More information

Scratch Ticket Game Closing Analysis

Scratch Ticket Game Closing Analysis TEXAS TTER ISSI Sctch Ticket Ge lsig Alysis SUAR REPRT Sctch Ticket Ifti Dte pleted 11/ 14/ 216 Ge# 17881 fied Pcks 4, 384 Ge e Tiple the eyl Active Pcks 3, 358 Qutity Pited 9, 237, 375 1 Wehuse Pcks Pice

More information

TEXAS LOTTERY COMMISSION Scratch Ticket Game Closing Analysis SUMMARY REPORT Scratch Ticket Information Date Completed 9/20/2017

TEXAS LOTTERY COMMISSION Scratch Ticket Game Closing Analysis SUMMARY REPORT Scratch Ticket Information Date Completed 9/20/2017 TES LTTERY CISSI Scch Ticke Ge Clsing nlysis SURY REPRT Scch Ticke Infin Clee 9/2/217 Ge # 183 Cnfie Pcks 5,26 Ge e illy nk Glen Ticke cive Pcks,33 Quniy Pine 9,676,3 ehuse Pcks,233 Pice Pin 1 Reune Pcks

More information

Scratch Ticket Game Closing Analysis

Scratch Ticket Game Closing Analysis TEXAS TTERY ISSI Scratch Ticket Game loing Analyi SUARY REPRT Intant Ticket Information Date omplete 8/ 28/ 217 Game# 1699 onfirme Pack 1, 163 Game ame Big ah on7ey Active Pack 942 uantity Printe 7, 36,

More information

ECONOMETRIC THEORY. MODULE IV Lecture - 16 Predictions in Linear Regression Model

ECONOMETRIC THEORY. MODULE IV Lecture - 16 Predictions in Linear Regression Model ECONOMETRIC THEORY MODULE IV Lecture - 16 Predictions in Liner Regression Model Dr. Shlbh Deprtent of Mthetics nd Sttistics Indin Institute of Technology Knpur Prediction of vlues of study vrible An iportnt

More information

A/P Warrants. June 15, To Approve. To Ratify. Authorize the City Manager to approve such expenditures as are legally due and

A/P Warrants. June 15, To Approve. To Ratify. Authorize the City Manager to approve such expenditures as are legally due and T. 7 TY LS ALATS A/P rrnts June 5, 5 Pges: To Approve - 5 89, 54.3 A/P rrnts 6/ 5/ 5 Subtotl $ 89, 54. 3 To Rtify Pges: 6-, 34. 98 Advnce rrnts 5/ 6/ 5-4 3, 659. 94 Advnce rrnts 6/ / 5 4, 7. 69 June Retirees

More information

Scratch Ticket Game Closing Analysis SUMMARY REPORT

Scratch Ticket Game Closing Analysis SUMMARY REPORT TEXAS LTTERY ISSI Scratch Ticket Game lsig Aalsis SUARY REPRT Scratch Ticket Ifrmati Date mplete 12/ 28/ 216 Game# 1814 firme Packs 11, 593 Game ame Hlia Lteria Active Packs 12, 5 Quatit Prite 7,342, 95

More information

Beginning and Ending Cash and Investment Balances for the month of January 2016

Beginning and Ending Cash and Investment Balances for the month of January 2016 ADIISTRATIVE STAFF REPRT T yr nd Tn uncil rch 15 216 SBJET Jnury 216 nth End Tresurer s Reprt BAKGRD The lifrni Gvernment de nd the Tn f Dnville s Investment Plicy require tht reprt specifying the investment

More information

The Atwood Machine OBJECTIVE INTRODUCTION APPARATUS THEORY

The Atwood Machine OBJECTIVE INTRODUCTION APPARATUS THEORY The Atwood Mchine OBJECTIVE To derive the ening of Newton's second lw of otion s it pplies to the Atwood chine. To explin how ss iblnce cn led to the ccelertion of the syste. To deterine the ccelertion

More information

Exponents and Powers

Exponents and Powers EXPONENTS AND POWERS 9 Exponents nd Powers CHAPTER. Introduction Do you know? Mss of erth is 5,970,000,000,000, 000, 000, 000, 000 kg. We hve lredy lernt in erlier clss how to write such lrge nubers ore

More information

MA 15910, Lessons 2a and 2b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1.2 and 2.1

MA 15910, Lessons 2a and 2b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1.2 and 2.1 MA 15910, Lessons nd Introduction to Functions Alger: Sections 3.5 nd 7.4 Clculus: Sections 1. nd.1 Representing n Intervl Set of Numers Inequlity Symol Numer Line Grph Intervl Nottion ) (, ) ( (, ) ]

More information

Read section 3.3, 3.4 Announcements:

Read section 3.3, 3.4 Announcements: Dte: 3/1/13 Objective: SWBAT pply properties of exponentil functions nd will pply properties of rithms. Bell Ringer: 1. f x = 3x 6, find the inverse, f 1 x., Using your grphing clcultor, Grph 1. f x,f

More information

4 7x =250; 5 3x =500; Read section 3.3, 3.4 Announcements: Bell Ringer: Use your calculator to solve

4 7x =250; 5 3x =500; Read section 3.3, 3.4 Announcements: Bell Ringer: Use your calculator to solve Dte: 3/14/13 Objective: SWBAT pply properties of exponentil functions nd will pply properties of rithms. Bell Ringer: Use your clcultor to solve 4 7x =250; 5 3x =500; HW Requests: Properties of Log Equtions

More information

STPSC16H065A. 650 V power Schottky silicon carbide rectifier. Datasheet. Features. Applications. Description

STPSC16H065A. 650 V power Schottky silicon carbide rectifier. Datasheet. Features. Applications. Description Dtsheet 65 V power Schottky silicon crbide rectifier NC A TO-247 K A K NC Fetures No or negligible reverse recovery Temperture independent switching behvior High forwrd surge cpbility Operting T j from

More information

Tests for the Ratio of Two Poisson Rates

Tests for the Ratio of Two Poisson Rates Chpter 437 Tests for the Rtio of Two Poisson Rtes Introduction The Poisson probbility lw gives the probbility distribution of the number of events occurring in specified intervl of time or spce. The Poisson

More information

New data structures to reduce data size and search time

New data structures to reduce data size and search time New dt structures to reduce dt size nd serch time Tsuneo Kuwbr Deprtment of Informtion Sciences, Fculty of Science, Kngw University, Hirtsuk-shi, Jpn FIT2018 1D-1, No2, pp1-4 Copyright (c)2018 by The Institute

More information

fractions Let s Learn to

fractions Let s Learn to 5 simple lgebric frctions corne lens pupil retin Norml vision light focused on the retin concve lens Shortsightedness (myopi) light focused in front of the retin Corrected myopi light focused on the retin

More information

UNIQUENESS THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH HÖLDER CONTINUITY

UNIQUENESS THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH HÖLDER CONTINUITY UNIQUENESS THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH HÖLDER CONTINUITY YIFEI PAN, MEI WANG, AND YU YAN ABSTRACT We estblish soe uniqueness results ner 0 for ordinry differentil equtions of the

More information

1. Find the derivative of the following functions. a) f(x) = 2 + 3x b) f(x) = (5 2x) 8 c) f(x) = e2x

1. Find the derivative of the following functions. a) f(x) = 2 + 3x b) f(x) = (5 2x) 8 c) f(x) = e2x I. Dierentition. ) Rules. *product rule, quotient rule, chin rule MATH 34B FINAL REVIEW. Find the derivtive of the following functions. ) f(x) = 2 + 3x x 3 b) f(x) = (5 2x) 8 c) f(x) = e2x 4x 7 +x+2 d)

More information

Each term is formed by adding a constant to the previous term. Geometric progression

Each term is formed by adding a constant to the previous term. Geometric progression Chpter 4 Mthemticl Progressions PROGRESSION AND SEQUENCE Sequence A sequence is succession of numbers ech of which is formed ccording to definite lw tht is the sme throughout the sequence. Arithmetic Progression

More information

332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006

332:221 Principles of Electrical Engineering I Fall Hourly Exam 2 November 6, 2006 2:221 Principles of Electricl Engineering I Fll 2006 Nme of the student nd ID numer: Hourly Exm 2 Novemer 6, 2006 This is closed-ook closed-notes exm. Do ll your work on these sheets. If more spce is required,

More information

List all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1.

List all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1. Mth Anlysis CP WS 4.X- Section 4.-4.4 Review Complete ech question without the use of grphing clcultor.. Compre the mening of the words: roots, zeros nd fctors.. Determine whether - is root of 0. Show

More information

Student Activity 3: Single Factor ANOVA

Student Activity 3: Single Factor ANOVA MATH 40 Student Activity 3: Single Fctor ANOVA Some Bsic Concepts In designed experiment, two or more tretments, or combintions of tretments, is pplied to experimentl units The number of tretments, whether

More information

CAAM 453 NUMERICAL ANALYSIS I Examination There are four questions, plus a bonus. Do not look at them until you begin the exam.

CAAM 453 NUMERICAL ANALYSIS I Examination There are four questions, plus a bonus. Do not look at them until you begin the exam. Exmintion 1 Posted 23 October 2002. Due no lter thn 5pm on Mondy, 28 October 2002. Instructions: 1. Time limit: 3 uninterrupted hours. 2. There re four questions, plus bonus. Do not look t them until you

More information

1. Twelve less than five times a number is thirty three. What is the number

1. Twelve less than five times a number is thirty three. What is the number Alger 00 Midterm Review Nme: Dte: Directions: For the following prolems, on SEPARATE PIECE OF PAPER; Define the unknown vrile Set up n eqution (Include sketch/chrt if necessr) Solve nd show work Answer

More information

Discussion Question 1A P212, Week 1 P211 Review: 2-D Motion with Uniform Force

Discussion Question 1A P212, Week 1 P211 Review: 2-D Motion with Uniform Force Discussion Question 1A P1, Week 1 P11 Review: -D otion with Unifor Force The thetics nd phsics of the proble below re siilr to probles ou will encounter in P1, where the force is due to the ction of n

More information

An Introduction to Trigonometry

An Introduction to Trigonometry n Introduction to Trigonoetry First of ll, let s check out the right ngled tringle below. The LETTERS, B & C indicte the ngles nd the letters, b & c indicte the sides. c b It is iportnt to note tht side

More information

Math 116 Calculus II

Math 116 Calculus II Mth 6 Clculus II Contents 5 Exponentil nd Logrithmic functions 5. Review........................................... 5.. Exponentil functions............................... 5.. Logrithmic functions...............................

More information

The Fundamental Theorem of Calculus, Particle Motion, and Average Value

The Fundamental Theorem of Calculus, Particle Motion, and Average Value The Fundmentl Theorem of Clculus, Prticle Motion, nd Averge Vlue b Three Things to Alwys Keep In Mind: (1) v( dt p( b) p( ), where v( represents the velocity nd p( represents the position. b (2) v ( dt

More information

CITY OF LOS ALAMITOS. Register of Major Expenditures. August 18, To Approve. To Ratify

CITY OF LOS ALAMITOS. Register of Major Expenditures. August 18, To Approve. To Ratify TEM. 7 CTY F LS ALAMTS Register of Mjor Ependitures August 18, 214 Pges: To Approve 1-3 53, 431. 2 Mjor rrnts 8/ 18/ 214 Subtotl 53, 431. 2 To Rtify Pges: 4-5 146, 476. 74 Advnce rrnts 7/ 28/ 214 6 217,

More information

Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems

Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems Avilble online t www.isr-publictions.co/jns J. Nonliner Sci. Appl. 11 2018 8 16 Reserch Article Journl Hoepge: www.isr-publictions.co/jns Lypunov-type inequlities for Lplcin systes nd pplictions to boundry

More information

Unit 2 Exponents Study Guide

Unit 2 Exponents Study Guide Unit Eponents Stud Guide 7. Integer Eponents Prt : Zero Eponents Algeric Definition: 0 where cn e n non-zero vlue 0 ecuse 0 rised to n power less thn or equl to zero is n undefined vlue. Eple: 0 If ou

More information

MATH 144: Business Calculus Final Review

MATH 144: Business Calculus Final Review MATH 144: Business Clculus Finl Review 1 Skills 1. Clculte severl limits. 2. Find verticl nd horizontl symptotes for given rtionl function. 3. Clculte derivtive by definition. 4. Clculte severl derivtives

More information

Matching. Lecture 13 Link Analysis ( ) 13.1 Link Analysis ( ) 13.2 Google s PageRank Algorithm The Top Ten Algorithms in Data Mining

Matching. Lecture 13 Link Analysis ( ) 13.1 Link Analysis ( ) 13.2 Google s PageRank Algorithm The Top Ten Algorithms in Data Mining Lecture 13 Link Anlsis () 131 13.1 Serch Engine Indexing () 132 13.1 Link Anlsis () 13.2 Google s PgeRnk Algorith The Top Ten Algoriths in Dt Mining J. McCorick, Nine Algoriths Tht Chnged the Future, Princeton

More information

PHYS 601 HW3 Solution

PHYS 601 HW3 Solution 3.1 Norl force using Lgrnge ultiplier Using the center of the hoop s origin, we will describe the position of the prticle with conventionl polr coordintes. The Lgrngin is therefore L = 1 2 ṙ2 + 1 2 r2

More information

7-1: Zero and Negative Exponents

7-1: Zero and Negative Exponents 7-: Zero nd Negtive Exponents Objective: To siplify expressions involving zero nd negtive exponents Wr Up:.. ( ).. 7.. Investigting Zero nd Negtive Exponents: Coplete the tble. Write non-integers s frctions

More information

DIRECT CURRENT CIRCUITS

DIRECT CURRENT CIRCUITS DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through

More information

UNIQUENESS THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH HÖLDER CONTINUITY

UNIQUENESS THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH HÖLDER CONTINUITY UNIQUENESS THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH HÖLDER CONTINUITY YIFEI PAN, MEI WANG, AND YU YAN ABSTRACT We study ordinry differentil equtions of the type u n t = fut with initil conditions

More information

Interpreting Integrals and the Fundamental Theorem

Interpreting Integrals and the Fundamental Theorem Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of

More information

Arithmetic & Algebra. NCTM National Conference, 2017

Arithmetic & Algebra. NCTM National Conference, 2017 NCTM Ntionl Conference, 2017 Arithmetic & Algebr Hether Dlls, UCLA Mthemtics & The Curtis Center Roger Howe, Yle Mthemtics & Texs A & M School of Eduction Relted Common Core Stndrds First instnce of vrible

More information

Contact Analysis on Large Negative Clearance Four-point Contact Ball Bearing

Contact Analysis on Large Negative Clearance Four-point Contact Ball Bearing Avilble online t www.sciencedirect.co rocedi ngineering 7 0 74 78 The Second SR Conference on ngineering Modelling nd Siultion CMS 0 Contct Anlysis on Lrge Negtive Clernce Four-point Contct Bll Bering

More information

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve.

The Fundamental Theorem of Calculus. The Total Change Theorem and the Area Under a Curve. Clculus Li Vs The Fundmentl Theorem of Clculus. The Totl Chnge Theorem nd the Are Under Curve. Recll the following fct from Clculus course. If continuous function f(x) represents the rte of chnge of F

More information

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level. Published

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level. Published Cmbridge Interntionl Exmintions Cmbridge Interntionl Advnced Subsidiry nd Advnced Level MATHEMATICS 9709/ Pper October/November 06 MARK SCHEME Mximum Mrk: 75 Published This mrk scheme is published s n

More information

8.3 THE TRIGONOMETRIC FUNCTIONS. skipped 8.4 THE ALGEBRAIC COMPLETENESS OF THE COMPLEX FIELD. skipped 8.5 FOURIER SERIES

8.3 THE TRIGONOMETRIC FUNCTIONS. skipped 8.4 THE ALGEBRAIC COMPLETENESS OF THE COMPLEX FIELD. skipped 8.5 FOURIER SERIES 8.5 FOURIER SERIES 0 8.3 THE TRIGONOMETRIC FUNCTIONS skipped 8.4 THE ALGEBRAIC COMPLETENESS OF THE COMPLEX FIELD skipped 8.5 FOURIER SERIES 8.9 Orthogonl Functions, Orthonorl: Let { n }, n, 2, 3,...,besequence

More information

DOING PHYSICS WITH MATLAB MATHEMATICAL ROUTINES

DOING PHYSICS WITH MATLAB MATHEMATICAL ROUTINES DOIG PHYSICS WITH MATLAB MATHEMATICAL ROUTIES COMPUTATIO OF OE-DIMESIOAL ITEGRALS In Cooper School of Physics, University of Sydney in.cooper@sydney.edu.u DOWLOAD DIRECTORY FOR MATLAB SCRIPTS mth_integrtion_1d.m

More information

Chem 130 Second Exam

Chem 130 Second Exam Nme Chem 130 Second Exm On the following pges you will find seven questions covering vries topics rnging from the structure of molecules, ions, nd solids to different models for explining bonding. Red

More information

Form 5 HKCEE 1990 Mathematics II (a 2n ) 3 = A. f(1) B. f(n) A. a 6n B. a 8n C. D. E. 2 D. 1 E. n. 1 in. If 2 = 10 p, 3 = 10 q, express log 6

Form 5 HKCEE 1990 Mathematics II (a 2n ) 3 = A. f(1) B. f(n) A. a 6n B. a 8n C. D. E. 2 D. 1 E. n. 1 in. If 2 = 10 p, 3 = 10 q, express log 6 Form HK 9 Mthemtics II.. ( n ) =. 6n. 8n. n 6n 8n... +. 6.. f(). f(n). n n If = 0 p, = 0 q, epress log 6 in terms of p nd q.. p q. pq. p q pq p + q Let > b > 0. If nd b re respectivel the st nd nd terms

More information

Sections 5.2: The Definite Integral

Sections 5.2: The Definite Integral Sections 5.2: The Definite Integrl In this section we shll formlize the ides from the lst section to functions in generl. We strt with forml definition.. The Definite Integrl Definition.. Suppose f(x)

More information

( dg. ) 2 dt. + dt. dt j + dh. + dt. r(t) dt. Comparing this equation with the one listed above for the length of see that

( dg. ) 2 dt. + dt. dt j + dh. + dt. r(t) dt. Comparing this equation with the one listed above for the length of see that Arc Length of Curves in Three Dimensionl Spce If the vector function r(t) f(t) i + g(t) j + h(t) k trces out the curve C s t vries, we cn mesure distnces long C using formul nerly identicl to one tht we

More information

Deteriorating Inventory Model for Waiting. Time Partial Backlogging

Deteriorating Inventory Model for Waiting. Time Partial Backlogging Applied Mthemticl Sciences, Vol. 3, 2009, no. 9, 42-428 Deteriorting Inventory Model for Witing Time Prtil Bcklogging Nit H. Shh nd 2 Kunl T. Shukl Deprtment of Mthemtics, Gujrt university, Ahmedbd. 2

More information

Student Session Topic: Particle Motion

Student Session Topic: Particle Motion Student Session Topic: Prticle Motion Prticle motion nd similr problems re on the AP Clculus exms lmost every yer. The prticle my be prticle, person, cr, etc. The position, velocity or ccelertion my be

More information

Sample pages. 9:04 Equations with grouping symbols

Sample pages. 9:04 Equations with grouping symbols Equtions 9 Contents I know the nswer is here somewhere! 9:01 Inverse opertions 9:0 Solving equtions Fun spot 9:0 Why did the tooth get dressed up? 9:0 Equtions with pronumerls on both sides GeoGebr ctivity

More information

Gromo Trade & Consultancy Limited (Formerly Kamalakshi Finance Corporation Limited) CIN: L67120MH1973PLC016243

Gromo Trade & Consultancy Limited (Formerly Kamalakshi Finance Corporation Limited) CIN: L67120MH1973PLC016243 Grm Trde & nsultncy Limited (Frmerly Kmlkshi Finnce rprtin Limited) : L712H1973PL1243 Dte: 3/11/218 T rprte Services Bmby Stck xchnge Ltd. rprte Reltinship Dept, 1st Flr, ew Trding Ring, Rtund Building,

More information

The heat budget of the atmosphere and the greenhouse effect

The heat budget of the atmosphere and the greenhouse effect The het budget of the tmosphere nd the greenhouse effect 1. Solr rdition 1.1 Solr constnt The rdition coming from the sun is clled solr rdition (shortwve rdition). Most of the solr rdition is visible light

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

More information

1 Linear Least Squares

1 Linear Least Squares Lest Squres Pge 1 1 Liner Lest Squres I will try to be consistent in nottion, with n being the number of dt points, nd m < n being the number of prmeters in model function. We re interested in solving

More information

Unit 1 Exponentials and Logarithms

Unit 1 Exponentials and Logarithms HARTFIELD PRECALCULUS UNIT 1 NOTES PAGE 1 Unit 1 Eponentils nd Logrithms (2) Eponentil Functions (3) The number e (4) Logrithms (5) Specil Logrithms (7) Chnge of Bse Formul (8) Logrithmic Functions (10)

More information

Cf. Linn Sennott, Stochastic Dynamic Programming and the Control of Queueing Systems, Wiley Series in Probability & Statistics, 1999.

Cf. Linn Sennott, Stochastic Dynamic Programming and the Control of Queueing Systems, Wiley Series in Probability & Statistics, 1999. Cf. Linn Sennott, Stochstic Dynmic Progrmming nd the Control of Queueing Systems, Wiley Series in Probbility & Sttistics, 1999. D.L.Bricker, 2001 Dept of Industril Engineering The University of Iow MDP

More information

OXFORD H i g h e r E d u c a t i o n Oxford University Press, All rights reserved.

OXFORD H i g h e r E d u c a t i o n Oxford University Press, All rights reserved. Renshw: Mths for Econoics nswers to dditionl exercises Exercise.. Given: nd B 5 Find: () + B + B 7 8 (b) (c) (d) (e) B B B + B T B (where 8 B 6 B 6 8 B + B T denotes the trnspose of ) T 8 B 5 (f) (g) B

More information

Ph2b Quiz - 1. Instructions

Ph2b Quiz - 1. Instructions Ph2b Winter 217-18 Quiz - 1 Due Dte: Mondy, Jn 29, 218 t 4pm Ph2b Quiz - 1 Instructions 1. Your solutions re due by Mondy, Jnury 29th, 218 t 4pm in the quiz box outside 21 E. Bridge. 2. Lte quizzes will

More information

The Spring. Consider a spring, which we apply a force F A to either stretch it or compress it

The Spring. Consider a spring, which we apply a force F A to either stretch it or compress it The Spring Consider spring, which we pply force F A to either stretch it or copress it F A - unstretched -F A 0 F A k k is the spring constnt, units of N/, different for different terils, nuber of coils

More information

1 The Riemann Integral

1 The Riemann Integral The Riemnn Integrl. An exmple leding to the notion of integrl (res) We know how to find (i.e. define) the re of rectngle (bse height), tringle ( (sum of res of tringles). But how do we find/define n re

More information

Describe in words how you interpret this quantity. Precisely what information do you get from x?

Describe in words how you interpret this quantity. Precisely what information do you get from x? WAVE FUNCTIONS AND PROBABILITY 1 I: Thinking out the wve function In quntum mechnics, the term wve function usully refers to solution to the Schrödinger eqution, Ψ(x, t) i = 2 2 Ψ(x, t) + V (x)ψ(x, t),

More information

Practice Final. Name: Problem 1. Show all of your work, label your answers clearly, and do not use a calculator.

Practice Final. Name: Problem 1. Show all of your work, label your answers clearly, and do not use a calculator. Nme: MATH 2250 Clculus Eric Perkerson Dte: December 11, 2015 Prctice Finl Show ll of your work, lbel your nswers clerly, nd do not use clcultor. Problem 1 Compute the following limits, showing pproprite

More information

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn

More information

Rel Gses 1. Gses (N, CO ) which don t obey gs lws or gs eqution P=RT t ll pressure nd tempertures re clled rel gses.. Rel gses obey gs lws t extremely low pressure nd high temperture. Rel gses devited

More information

Research on the Quality Competence in Manufacturing Industry

Research on the Quality Competence in Manufacturing Industry Reserch on the Qulity Competence in Mnufcturing Industry Xioping M, Zhijun Hn Economics nd Mngement School Nnjing University of Science nd Technology Nnjing 210094, Chin Tel: 86-25-8431-5400 E-mil: hnzhij4531@sin.com

More information

5.1 How do we Measure Distance Traveled given Velocity? Student Notes

5.1 How do we Measure Distance Traveled given Velocity? Student Notes . How do we Mesure Distnce Trveled given Velocity? Student Notes EX ) The tle contins velocities of moving cr in ft/sec for time t in seconds: time (sec) 3 velocity (ft/sec) 3 A) Lel the x-xis & y-xis

More information

Lesson 5.3 Graph General Rational Functions

Lesson 5.3 Graph General Rational Functions Copright Houghton Mifflin Hrcourt Publishing Compn. All rights reserved. Averge cost ($) C 8 6 4 O 4 6 8 Number of people number of hits.. number of times t bt.5 n n 4 b. 4.5 4.5.5; No, btting verge of.5

More information

Section 11.5 Estimation of difference of two proportions

Section 11.5 Estimation of difference of two proportions ection.5 Estimtion of difference of two proportions As seen in estimtion of difference of two mens for nonnorml popultion bsed on lrge smple sizes, one cn use CLT in the pproximtion of the distribution

More information

Ideal Gas behaviour: summary

Ideal Gas behaviour: summary Lecture 4 Rel Gses Idel Gs ehviour: sury We recll the conditions under which the idel gs eqution of stte Pn is vlid: olue of individul gs olecules is neglected No interctions (either ttrctive or repulsive)

More information

Continuous Random Variables

Continuous Random Variables STAT/MATH 395 A - PROBABILITY II UW Winter Qurter 217 Néhémy Lim Continuous Rndom Vribles Nottion. The indictor function of set S is rel-vlued function defined by : { 1 if x S 1 S (x) if x S Suppose tht

More information

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15 Physics H - Introductory Quntum Physics I Homework #8 - Solutions Fll 4 Due 5:1 PM, Mondy 4/11/15 [55 points totl] Journl questions. Briefly shre your thoughts on the following questions: Of the mteril

More information

Instructor: Marios M. Fyrillas HOMEWORK ASSIGNMENT ON INTERPOLATION

Instructor: Marios M. Fyrillas HOMEWORK ASSIGNMENT ON INTERPOLATION AMAT 34 Numericl Methods Instructor: Mrios M. Fyrills Emil: m.fyrills@fit.c.cy Office Tel.: 34559/6 Et. 3 HOMEWORK ASSIGNMENT ON INTERPOATION QUESTION Using interpoltion by colloction-polynomil fit method

More information

Problem Set 9. Figure 1: Diagram. This picture is a rough sketch of the 4 parabolas that give us the area that we need to find. The equations are:

Problem Set 9. Figure 1: Diagram. This picture is a rough sketch of the 4 parabolas that give us the area that we need to find. The equations are: (x + y ) = y + (x + y ) = x + Problem Set 9 Discussion: Nov., Nov. 8, Nov. (on probbility nd binomil coefficients) The nme fter the problem is the designted writer of the solution of tht problem. (No one

More information

1.1 Reviewing the Exponent Laws

1.1 Reviewing the Exponent Laws . Reviewing the Exponent Lws INVESTIGATE & INQUIRE An order of gnitude is n pproxite size of quntity, expressed s power of 0. The tble shows soe speeds in etres per second, expressed to the nerest order

More information

38.2. The Uniform Distribution. Introduction. Prerequisites. Learning Outcomes

38.2. The Uniform Distribution. Introduction. Prerequisites. Learning Outcomes The Uniform Distribution 8. Introduction This Section introduces the simplest type of continuous probbility distribution which fetures continuous rndom vrible X with probbility density function f(x) which

More information

Chapters 4 & 5 Integrals & Applications

Chapters 4 & 5 Integrals & Applications Contents Chpters 4 & 5 Integrls & Applictions Motivtion to Chpters 4 & 5 2 Chpter 4 3 Ares nd Distnces 3. VIDEO - Ares Under Functions............................................ 3.2 VIDEO - Applictions

More information

r = cos θ + 1. dt ) dt. (1)

r = cos θ + 1. dt ) dt. (1) MTHE 7 Proble Set 5 Solutions (A Crdioid). Let C be the closed curve in R whose polr coordintes (r, θ) stisfy () Sketch the curve C. r = cos θ +. (b) Find pretriztion t (r(t), θ(t)), t [, b], of C in polr

More information

Year 2009 VCE Mathematical Methods CAS Solutions Trial Examination 2

Year 2009 VCE Mathematical Methods CAS Solutions Trial Examination 2 Yer 9 VCE Mthemticl Methods CAS Solutions Tril Emintion KILBAHA MULTIMEDIA PUBLISHING PO BOX 7 KEW VIC AUSTRALIA TEL: () 987 57 FAX: () 987 kilbh@gmil.com http://kilbh.googlepges.com KILBAHA PTY LTD 9

More information

4.4 Areas, Integrals and Antiderivatives

4.4 Areas, Integrals and Antiderivatives . res, integrls nd ntiderivtives 333. Ares, Integrls nd Antiderivtives This section explores properties of functions defined s res nd exmines some connections mong res, integrls nd ntiderivtives. In order

More information

HQPD - ALGEBRA I TEST Record your answers on the answer sheet.

HQPD - ALGEBRA I TEST Record your answers on the answer sheet. HQPD - ALGEBRA I TEST Record your nswers on the nswer sheet. Choose the best nswer for ech. 1. If 7(2d ) = 5, then 14d 21 = 5 is justified by which property? A. ssocitive property B. commuttive property

More information

n f(x i ) x. i=1 In section 4.2, we defined the definite integral of f from x = a to x = b as n f(x i ) x; f(x) dx = lim i=1

n f(x i ) x. i=1 In section 4.2, we defined the definite integral of f from x = a to x = b as n f(x i ) x; f(x) dx = lim i=1 The Fundmentl Theorem of Clculus As we continue to study the re problem, let s think bck to wht we know bout computing res of regions enclosed by curves. If we wnt to find the re of the region below the

More information

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K Problem : Buffer solutions. The equilibrium, hich governs the concentrtion of H ithin the solution is HCOOH! HCOO H [HCOO ] 4 Hence. [HCOOH] nd since [HCOOH] 0.00 M nd [HCOO ] 0.50 M -4 0.00 4..8 M 0.50

More information

Comparison Procedures

Comparison Procedures Comprison Procedures Single Fctor, Between-Subects Cse /8/ Comprison Procedures, One-Fctor ANOVA, Between Subects Two Comprison Strtegies post hoc (fter-the-fct) pproch You re interested in discovering

More information

In-Class Problems 2 and 3: Projectile Motion Solutions. In-Class Problem 2: Throwing a Stone Down a Hill

In-Class Problems 2 and 3: Projectile Motion Solutions. In-Class Problem 2: Throwing a Stone Down a Hill MASSACHUSETTS INSTITUTE OF TECHNOLOGY Deprtment of Physics Physics 8T Fll Term 4 In-Clss Problems nd 3: Projectile Motion Solutions We would like ech group to pply the problem solving strtegy with the

More information

1.1. Linear Constant Coefficient Equations. Remark: A differential equation is an equation

1.1. Linear Constant Coefficient Equations. Remark: A differential equation is an equation 1 1.1. Liner Constnt Coefficient Equtions Section Objective(s): Overview of Differentil Equtions. Liner Differentil Equtions. Solving Liner Differentil Equtions. The Initil Vlue Problem. 1.1.1. Overview

More information

Let the set of original documents (to be searched) be D = {D 1, D 2, D 3 },

Let the set of original documents (to be searched) be D = {D 1, D 2, D 3 }, EXAMLE Let the set of originl documents (to be serched) be D = {D 1, D 2, D 3 }, where D 1 = Byes' rinciple: The principle tht, in estimting prmeter, one should initilly ssume tht ech possible vlue hs

More information

Applications of Bernoulli s theorem. Lecture - 7

Applications of Bernoulli s theorem. Lecture - 7 Applictions of Bernoulli s theorem Lecture - 7 Prcticl Applictions of Bernoulli s Theorem The Bernoulli eqution cn be pplied to gret mny situtions not just the pipe flow we hve been considering up to now.

More information

Coordination Contracts for Competitive Two Echelon Supply Chain With Priceand-Promotional

Coordination Contracts for Competitive Two Echelon Supply Chain With Priceand-Promotional Mngeent Science nd Engineering Vol 0 No 06 7-3 OI:03968/834 ISSN 93-034 [Print] ISSN 93-035X [Online] wwwcscndnet wwwcscndorg Coordintion Contrcts for Coetitive Two Echelon Suly Chin With Pricend-Prootionl

More information

September 13 Homework Solutions

September 13 Homework Solutions College of Engineering nd Computer Science Mechnicl Engineering Deprtment Mechnicl Engineering 5A Seminr in Engineering Anlysis Fll Ticket: 5966 Instructor: Lrry Cretto Septemer Homework Solutions. Are

More information

x ) dx dx x sec x over the interval (, ).

x ) dx dx x sec x over the interval (, ). Curve on 6 For -, () Evlute the integrl, n (b) check your nswer by ifferentiting. ( ). ( ). ( ).. 6. sin cos 7. sec csccot 8. sec (sec tn ) 9. sin csc. Evlute the integrl sin by multiplying the numertor

More information

Physics Dynamics: Atwood Machine

Physics Dynamics: Atwood Machine plce of ind F A C U L Y O F E D U C A I O N Deprtent of Curriculu nd Pedoy Physics Dynics: Atwood Mchine Science nd Mthetics Eduction Reserch Group Supported by UBC echin nd Lernin Enhnceent Fund 0-04

More information

FBR Neutronics: Breeding potential, Breeding Ratio, Breeding Gain and Doubling time

FBR Neutronics: Breeding potential, Breeding Ratio, Breeding Gain and Doubling time FBR eutronics: Breeding potentil, Breeding Rtio, Breeding Gin nd Doubling time K.S. Rjn Proessor, School o Chemicl & Biotechnology SASTRA University Joint Inititive o IITs nd IISc Funded by MHRD Pge 1

More information