"Die Zauberflöte" "The Magic Flute" (K.620, Sept. 1791) Ouvertüre / Overture

Size: px
Start display at page:

Download ""Die Zauberflöte" "The Magic Flute" (K.620, Sept. 1791) Ouvertüre / Overture"

Transcription

1 Wolgag Amadeus Mozart ( ) Libretto: Emauel Schiaeder "Die Zauberlöte" "The Magic Flute" (K.620, Set. 1791) Eie deutsche Oer i zwei Auzüge Germa oera i two acts Ouvertüre / Overture This editio coyright 1998 by Fred Nachbaur Dogstar Music All rights reserved Free (o-commercial) distributio allowed ad ecouraged. Rev. 1.1 May 1999 Obtaied rom the GMD Music Archives site

2 Die Zauberlöte (The Magic Flute) Ouvertüre (Overture) Music by Wolgag Amadeus Mozart Libretto by Emauel Schiaeder First erormace: Setember 30, 1791 at the Theater au der Wiede, Viea, uder the directio o the comoser. ========================================================== Oe o my log-term rojects is to sequece ad score the etire "Zauberlöte" or the electroic medium. The Overture is the irst ste i this directio, ad uture wor i this regard deeds somewhat o iterest. For comactess, the score is reseted i a relatively small ot (12 oit), maig it rimarily o iterest as a "study score." Eve so, it requires A4 or legal-sized aer to rit, allowig two systems er age. My iterretatio i the orm o a midi-ile is also rovided or study uroses. Please ote: at least 32- ote olyhoy is required, ad to imrove realism the strigs are doubled o two searate tracs, or a total o 19 tracs o 15 chaels. At least a AWE32 or similar soud card is required to adequately read this midi. A Yamaha XG sythesizer or soudcard is recommeded or best results. Fred Nachbaur Aril, 1999 red_achbaur@bc.symatico.ca REVISION HISTORY: Origial release: V1.0, Aril, Rev. 1.1: May, Cotais may reiemets ad imrovemets, such as illig i missig dyamics i the secod hal o the iece, cosmetic chages, ad correctio o errors. Cosiderable detail added to demostratio midi.

3 Ouvertüre, "Die Zauberlöte" W.A. Mozart (KV.620, 1791) Flauti Oboi Clarietti i B Fagotti Cori i Es Trombe i Es Timai i Es Tromboe Alto/Te. Tromboe Basso Violio I Violio II Viola Vcello/Basso a Adagio E j y z j y t z j y t m l jjzz a E j y z j y t z j y t m l jjzz a E j y z j y z j y t m l jz be j y z t j y z t j y m zz s zz t i a E j y z s j y z s j y m l jz a E j y z s j y z s j y m l jz be j y z t j y z t y m l mz ce j y z j y t z j y t m l jz be j y z s y z s y m l jz a E y j z j y t z 3 j y t oz j a E y j z j y z j y t m j j y ce z t j y z t j y m j j be j y z t j y z t j y m zz s zz t i Coyright 1998 by Fred Nachbaur. All Rights Reserved. Rev. 1.1 Ar. 30, 1999 Scored usig NoteWorthy Comoser. Free circulatio allowed ad ecouraged.

4 2 6 a l jz l l l a l jz l l l a l jz l l l b zz s zz t i oz t oz t j oz t oz t a l jz l l l a l jz l l l b l mz l l l c l jz l z l b l jz l z l a j oz s oz s j oz s oz s a jj jj j s s j c j j oz oz s oz oz s oz t oz t j oz b zz s zz t oz t i l l l Vcello t rit. Allegro a l l l l m m l a l l l m jj ij j mz a l l j j l l b ej j j j ej mz a l l j l l j l b l l l l l l c z l j jj mz m m b ez l j ej m m mz a j e oz s e oz s j j mz a s s j j j z z z z z z c j oz oz j mz ej oz t oz b l l t j l ej l l mz 11 Bassi

5 17 a l l l l l l a l l l l l l a l l l l l l b l l l l l l l l b l l l l l l c l l l l l l b l l l l l l a l l l z z z z z z e z z z z z z z z z z z z a z z z z z z e z z z z z z z z z z z z z z z z z z z z z z z z d e s o j c l l l l l l b l l l l l l 23 a l l l l l l a l l l l l l a l l l l l l b l l l l z z z z z z z z z z z z l l b l l l l l l c l l l l l l b l l l l l l 3 z z e e a z z z z z z z z t o j e j z t j a j e z z z z z z z z z z z z z z z z j z s j c l l l l z z z z z z z z z z z z e z z z z z z z z z z z z b l l l l l e l Vcello

6 4 29 a l l l l l a l l l l l a l l l l l b z z z z z z z z z z z z z z z z z z z z z z z z t o j e z z z z z z e b l l l l l c l l l l l b l l l l l a s o j j z z z z z z z z z z z z z z z z m a s o z z z z z z z z z z z z ez z z z z z z z z z z z z z j c z z z z z z z z z z z z z z z z z z z z z z z z z z z z z z z z b z z z l z z z z z z z l z z z z z z z zlz z z z z s o j l e z z z z z z e Bassi a l l l j j a l l l l l a l l l e b z z z z z z e z z z z z z z z z z z z z z z z z ez z z z z z z z ez z z z z z z a l l l i i b l l l l l c l l l l l b l l l l l 34 a z t ej t o z z z z z z z z z z z z z z z z z z z z z z z z z z a e s o j e j e z z z z ez z z z z z z z z z z z c z z z z z z z ez z z z z z z z z z z ez z z z z z z z ez z z z z z b z z z z z z e z z z z z z z z z z z z z z z z i i

7 a z z z z z z z z z z z z e j j j a z z z z z z i j z ss ss s e j a j i j z t t t t t e b j z z z z z z z z z z z z e t o j t o a i i i i j a j m j m j m j m m b j m m j m j m m c j m j m i i m b j m j m i i m a z z z z z z z z z z z z e j e a z z z z z z z z z z z z e j z t c z z z z z z z z z z z e t o o b j z z z z z z z z z z z z e t o j t o a j ej j j ji j j a j dj j e j j i j j a e d e j j j b j t o j t o z z z z ez z z z a l m j j j a l m m b l m m c mz mz j j m b mz mz j j m a d e z z z z z z t o j t o a e t t t t c s o s o z z z z ez z z z b j t o j t o z z z z ez z z z

8 6 j a j j j ij j ei z z z a j e j j j ij j eii z z z a e jj j j eii z z z b z z z z dz z z z z z ez z z z z z ej j z z z z z z z z z z z ez a l m j j ii a l l l z z z z z z z z b l l l z z z z z z z z m c l l jj j eii l b l l ej j i l a j t o j t o zz A t zz A t t t z z z a j e e j t t z z z c z z z z dz z z z z z ez z z z z z j j z z z z z z z z z z z b z z z z dz z z z z z ez z z z z z ej j z z z z z z z z z z z ez a ez ei mz i ei m i m a ez mz i e m i e m a ez mz di i m di i m b mz m m a mz ii m ii m a mz i l i l b l j m l j m l c l i e m i e m b l i m i m a e z z z z z t e t t ez z z z z z e t t e m a e z z z z z t e e t t z z z z z e e t t t z z z z z e c m t t m t t m b m m m 48 53

9 a i e e e i e d i a l l l l l a l l l l l b l l l l l b l l l l l c l l l l l b l l l l l z z z z z z a mz z z z z z z mz z z z z z z e a mz mz ez z z z z z c e mz ez z z z z z mz z z z z e b l l l l l 58 a e e mz o e mz o e a li e l e l i e l e l i a l l ez z z z z z mz e b l z z z z z z e i z z z z z z e i b l l l l l c l l l l l b l l l l l a a e e e c e b l 63 7

10 8 a ijz d dj t o j t o ej j t o j t o e a jz i d t o ej dj t o ej e t o j t o e a jz o dj j dj j e t o ejj t o e b z z z z z e e z t o j t o t z o j e t o t o j t o a l l j a l l j b l l m c j m l l l e b j m l l l z z z z z z a t o dj t o t o ej e t o z t o j t o e a z z z z z z z d t z o j t o t z o j t o t z o j s o z z z z z e c e e z t z o j t o t z o j e t o t z o j t o b z z z z z e e z t z o j t o t z o j e t o t z o j t o a l o e mz o e ijz a o e l e l i e l e l i i jz a l ez z z z z z mz e jz z z z z z z b e i z z z z z z e i z z z z z z e a i ii ii ii i a l l l l b l l l l c l l l l j m b l l l l j m a z z z z z z a e z z z z z z z e c z z z z z e z b z z z z z z e 68 74

11 a d dj t o j t o ej j t o j t o e a d t o ej dj t o ej e t o j t o e a o dj j dj j e t o ejj t o e b e t o j t o t z o j e t o t o j t o a l l j a l l j b l l m c l l l e b l l l a t o dj t o t o ej e t o z t o j t o e a d t z o j t o t z o j t o t z o j s o e c e t z o j t o t z o j e t o t z o j t o b e t z o j t o t z o j e t o t z o j t o a l l l a l l l a l l i d e b a l l l a l l l b l l l c l l l b l l l a e e e e e e a t t t t t t c b l l l Vcelli 9

12 10 a l i e e i e e a l i e e i e e a i d e i d e i d e b a l ii ii a l ii ii b l l l c l j j j j b l j j j j a e e t t t t a t e t e e e c e e e e b l Bassi j j a j ej a j j j ejj a j j j ej b a j j j j a j j j j b l c j j j ej b j j j j a a c b 87 90

13 a yi Adagiol m y m ozl s j l j ym m oz j j t ym a yi oz j j y t m oz j j y t m oz j j y t m a y i oz j j y t m oz j j y t m oz j j y t m b y i oz s j j y m oz s j j y m oz s j j y m a y i oz j j y m oz j j y m oz j j y m t t t a y i oz s j j y m oz s j j y m oz s j j y m b y i l m y m l m y m l m y m c y i oz s j j y m oz s j j y m oz s j j y m b y i oz s j j y m oz s j j y m oz s j j y m a y i l m y m l m y m l m y m a y l m y m l m y m l m y m c y i l m y m l m y m l m y m b y i l m y m l m y m l m y m Allegro a l l l l l a l l l l l a l l l l l b l l l l l b l l l l l c l l l l l b l l l l l a z z z z z z e z z z z z z e t o e i z z z z z z a m j e j e z z z z z z j c e m j j ej j d z z z z z z e z z z z z z e j d b l l l l l Vcello 11

14 12 a l l l l l a l l l l m j l a l l l l l b l z z z z z z e z z z z z z d j ez z z z z z b l l l l l c l l l l l b l l l l l a t e t j ez z z z z z m l a t e t j z z ez z z z z z z z z z e z z z z z z c e e mz l l l e e b l z z z z z z e z z z z z z d Bassi t z o d m a m l j z z l z z z z j l j dz z l z z z ez a z zlz z z z j l j z zl z z ez z m ej djj a l l l l b d e a l l l l a l l l l b l l l l c ii ii ii ii b ii ii ii ii a z z z z z z e z z z z z z e z z z z z z e d z z z z z z d a z z z z z z e z z z z z z e z z z z z z e d z z z z z z d c d e b m m m m

15 a m z z z z z z e d e ez z z z z z e z z z z a j i j ej i j j a m j i j ej i j j b z z z z z z d j e z z z z z z e j z z z z z z a m m m m a m m m m b m l m m c e b a z z z z z z e d e z z z z z z e z z z z a z z z z z z e d e z z z z z z e z z z z c z z z z z e d j e ez z z z z z e j z z z z z z b z z z z z z e d j e z z z z z z e j z z z z z z a z z e d z z z z z z d e e d l a ei j ej dj i e e d l a ei j ej dj i e e d l b ej d z z z z z z d j l a m l l l l l a m l l l l l b m l l l l l c e e d e e d l b e l a z z e d z z z z z z d e e d l a z z e d z z z z z z d e e d l c ej d z z z z z z d j l b ej d z z z z z z d j l

16 14 a l l o e l e l l m a i i mz l i a l l l l l b l l o e e mz b l l l l l c l l l l l b l l l l l a z z z z z z mz l z z z z z z a z z z z z z z z mz l ez z z z z z z z e e c mz l e b l l l l l a l o l e e mz l a i mz l i i a l l l l l b l o l l e e mz l b l l l l l c l l l l l b l l l l l a z z z z m l z z z z z z z z z z a m l c e e m l e e b l l l l l

17 a o e l e l mz l l a mz l i i mz a l l l l o b o e e mz l l b l l l l l c l l l l l b l l l l l a m l z z z z z z z z z z m a m l m c e m l m jz b l l Vcello l l m l a o e m l l l a l l l m j e a m l l l b o e j mz l a i m l l l b l l l l l c l l l l l b l l l l l a l l l z z z z z z e z z z z z z e a l z z z z z z e e m c l l l m e m b l mz mz mz l Bassi Bassi 15

18 a l l ez z l z ez l a mz z z l z z l z z l z z a l l l l b z z z z z z ee j d e j e j a l l l l a l l l l b l l l l c l l l l b l l l l a m m z z z z z ez z z z z ez m z a m z z z z z z z z z z m z z z z z z z z z z c o z z z z z z z z z ee z z z z z z d e z z z z z z e z z z z b l o z z z z z e z z z z z z d e z z z z z z e a z z l z z o z z z z z z z z z z z z z z z z z z z e j a l l z z z z z z ii j a l o z z z z z z z ii i j e j z z z b z z z z j j z z z z z z a l l i i i a l l m j m j m j b l l j m m j m c l l j m j m i b l l j m j m i a z z z z z z z z z z z z z z z z z z z z z z z z z z z z e j a m z z z z z z z z z z z z z z z z z z z z z e j z c z z e z z z z m m j z z z z z z z z z z z z b z z z z z z e m m j z z z z z z z z z z z z 152

19 a z j j j ej a z e j j dj a z e e d e b z z z z z z e t o j t o j t o a i j l a j m m l b j m m l c i m m b i m m z a z z z z z e d a z t z z z z z e z z z z z z c e t o o s o b z z z z z z e t o j t o j t o a j j ji j j j j a j e j j i j j j e j a e j j j j e b j t o j j e d a m j j j l a m m l b m m l c m j j m l b m j j m l a e z z z z z z t o j t o j t o a t t t t c j s o e d b j t o e d

20 18 a j j ij j ei m i a j j ij j eii m i a jj j j eii m i b e ej j z e a m j j ii m i a l l z z z z z z z z m z z z z z z z z b l l z z z z z z z z m z z z z z z z z c l jj j eii m i b l ej j i m i a j t o zz t zz t t t t s t a e j j t t t e s t c e j j s t b ej j z e a m ii m jz z z z z z a m i m jz z z z z z a m i m jz z z z z z b z z z z z z z ez a m i m o a m z z z z z z z z m o b m z z z z z z z z m o c m i m m l b m i m m l a t s t t o z z z z z a t s o z z ez z z c t s t t z z z z z ez b z z z z z z z ez

21 e a m ei ii m a e m ei i m ei i a m ei m ei b m m a m i m i a m j m j b m m c l ei i m ei i b l i m i a t z z z z z z e t t z z z z z z e e t t a t z z z z z z e es s z z z z z z e t t c mz t t m t t b mz m a m l l l l a m l l l l a m l i e l d l i d l d b m l l l i e l d a m l l l l a m l l l l b l l l l l c m l l l l b m l l l l a m z z z z z z mz z z z z z z mz a t z z z z z e mz mz c m ez z z z z z mz z z z z z z mz ez z z z z z mz z z z z z z b m l l l mz l Vcello

22 20 a l i e l a l l a l i e l 183 l j l z z z z z z m l j z z z z z z l j l s o l j b l i e l l m z z z z z z m a l l o m o a l l l m b l l l m c l l l l l b l l l l l a z z z z z z a c z z z z z z z z z z z z b l l Bassi a l s o j e t o j d t o j a m j t o j t o j a l s o j t o j t o j b z z z z z z t o t z o j t o t z o j a m s o j j m a s o j j m b m z m c l jz s o j j b l jz s o j a e z t o j d t o j a t z o j t o t o j t o c t z o j t o t o j z b t o j t o t o j t o 188

23 a m l j l l j l s o j e a z z z z z z m z z z z z z m j a m lj l l j l s o j b l z z z z z z m z z z z z z t o a o m o m a l m b l m c l l l l jz b l l l l jz a z z z z z z e a c b s a o j d t o j l a t o j t o j l a t o j t o j ji j b t o j t o t o j t o l a s o j j m l a s o j j m l b m z m l c s o j l j b s o j l a t z o j d t o j e e a t z o j t o t o j t o s s c t z o j t o t z o j t o b t o j t o j t o l

24 22 a l i e i e a l l i e a ji j ji j ji j b l a l l l a l l l b l l l c l l l b l l l a e a s s e e c b l t t t l l Vcello t a i e i e j j a i e i e j j a j d j j d j ejj j b a i i m a i i m b m c j j j j j j b j e j j e j j j a a c b Bassi

25 j a j j m j ej j a j j m j ej j a j j m j dj j b m j ej j a j j i a.2 a j j i a.2 b j j c j j m j ej j m b j j m j ej j m a m j ej j a t c b m j ej j a e j m jz ejz jz e a e j m jz ejz jz e a j m jz djz jz e e b j m jz ejz jz a i a.2 a i a.2 b j j c e j m jz ejz jz m e b j m jz ejz jz m a m jz ejz jz a t c jz ejz jz b m j ej j

26 24 z z z z z z a z z z z z z e z z z z z z a jz jz e jz a jz jz e jz z z z z z z b z z z z z z e z z z z z z a jz jz jz a jz jz jz b c m j m j m j l b m j m j m j l z z z z z z a z z z z z z e z z z z z z z z z z z z a z z z z z z e z z z z z z z z z z z z z z z z z z c e z z z z z z z z z z z z b z z z z z z e z z z z z z a j m a j m a j m b j m a j m a m b j m c l l m j m b l l m j m a j m a m c j m b j m

5 1. Ob 1-2. Cl 1-2 (B ) Fag 1-2. Cor 1-2 (C) Cor 3 (E ) Timp. (C-G) Vln I. Vln II. Vla. page 2

5 1. Ob 1-2. Cl 1-2 (B ) Fag 1-2. Cor 1-2 (C) Cor 3 (E ) Timp. (C-G) Vln I. Vln II. Vla. page 2 II. Flauti 1, 2 Adagio assai. ( = 80) Marcia funebre. Oboi 1, 2 Clarinetti 1, 2 in B Fagotti 1, 2 Corni 1, 2 in C Corno in E Trombe 1, 2 in C Timpani in C, G Violino I sotto voce. Violino II Viola Violoncello

More information

Department of Computer Science, University of Otago

Department of Computer Science, University of Otago Departmet of Computer Sciece, Uiversity of Otago Techical Report OUCS-2006-09 Permutatios Cotaiig May Patters Authors: M.H. Albert Departmet of Computer Sciece, Uiversity of Otago Micah Colema, Rya Fly

More information

A probabilistic proof of a binomial identity

A probabilistic proof of a binomial identity A probabilistic proof of a biomial idetity Joatho Peterso Abstract We give a elemetary probabilistic proof of a biomial idetity. The proof is obtaied by computig the probability of a certai evet i two

More information

CS100: Introduction to Computer Science

CS100: Introduction to Computer Science I-class Exercise: CS100: Itroductio to Computer Sciece What is a flip-flop? What are the properties of flip-flops? Draw a simple flip-flop circuit? Lecture 3: Data Storage -- Mass storage & represetig

More information

ECE606: Solid State Devices Lecture 16 p-n diode AC Response

ECE606: Solid State Devices Lecture 16 p-n diode AC Response ECE66: Solid State Devices Lecture 16 - diode C esose Gerhard Klimeck gekco@urdue.edu Klimeck ECE66 Fall 1 otes adoted from lam Toic Ma Equilibrium DC Small sigal Large Sigal Circuits Diode Schottky Diode

More information

Now here is the important step

Now here is the important step LINEST i Excel The Excel spreadsheet fuctio "liest" is a complete liear least squares curve fittig routie that produces ucertaity estimates for the fit values. There are two ways to access the "liest"

More information

Annuities Under Random Rates of Interest II By Abraham Zaks. Technion I.I.T. Haifa ISRAEL and Haifa University Haifa ISRAEL.

Annuities Under Random Rates of Interest II By Abraham Zaks. Technion I.I.T. Haifa ISRAEL and Haifa University Haifa ISRAEL. Auities Uder Radom Rates of Iterest II By Abraham Zas Techio I.I.T. Haifa ISRAEL ad Haifa Uiversity Haifa ISRAEL Departmet of Mathematics, Techio - Israel Istitute of Techology, 3000, Haifa, Israel I memory

More information

Overview of Spellings on www.spellzoo.co.uk

Overview of Spellings on www.spellzoo.co.uk Overview of Spellings on www.spellzoo.co.uk Year 1 Set 1: CVC words Set 2: CVC and CCVC words Set 3: CVC, CCVC and CCVCC words Set 4: Words containing 'ch', 'sh', 'th' and 'wh' Set 5: Words ending in 'll',

More information

Domain 1: Designing a SQL Server Instance and a Database Solution

Domain 1: Designing a SQL Server Instance and a Database Solution Maual SQL Server 2008 Desig, Optimize ad Maitai (70-450) 1-800-418-6789 Domai 1: Desigig a SQL Server Istace ad a Database Solutio Desigig for CPU, Memory ad Storage Capacity Requiremets Whe desigig a

More information

.04. This means $1000 is multiplied by 1.02 five times, once for each of the remaining sixmonth

.04. This means $1000 is multiplied by 1.02 five times, once for each of the remaining sixmonth Questio 1: What is a ordiary auity? Let s look at a ordiary auity that is certai ad simple. By this, we mea a auity over a fixed term whose paymet period matches the iterest coversio period. Additioally,

More information

Week 3 Conditional probabilities, Bayes formula, WEEK 3 page 1 Expected value of a random variable

Week 3 Conditional probabilities, Bayes formula, WEEK 3 page 1 Expected value of a random variable Week 3 Coditioal probabilities, Bayes formula, WEEK 3 page 1 Expected value of a radom variable We recall our discussio of 5 card poker hads. Example 13 : a) What is the probability of evet A that a 5

More information

where: T = number of years of cash flow in investment's life n = the year in which the cash flow X n i = IRR = the internal rate of return

where: T = number of years of cash flow in investment's life n = the year in which the cash flow X n i = IRR = the internal rate of return EVALUATING ALTERNATIVE CAPITAL INVESTMENT PROGRAMS By Ke D. Duft, Extesio Ecoomist I the March 98 issue of this publicatio we reviewed the procedure by which a capital ivestmet project was assessed. The

More information

Convention Paper 6764

Convention Paper 6764 Audio Egieerig Society Covetio Paper 6764 Preseted at the 10th Covetio 006 May 0 3 Paris, Frace This covetio paper has bee reproduced from the author's advace mauscript, without editig, correctios, or

More information

INVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology

INVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology Adoptio Date: 4 March 2004 Effective Date: 1 Jue 2004 Retroactive Applicatio: No Public Commet Period: Aug Nov 2002 INVESTMENT PERFORMANCE COUNCIL (IPC) Preface Guidace Statemet o Calculatio Methodology

More information

STATISTICAL METHODS FOR BUSINESS

STATISTICAL METHODS FOR BUSINESS STATISTICAL METHODS FOR BUSINESS UNIT 7: INFERENTIAL TOOLS. DISTRIBUTIONS ASSOCIATED WITH SAMPLING 7.1.- Distributios associated with the samplig process. 7.2.- Iferetial processes ad relevat distributios.

More information

Confidence Intervals

Confidence Intervals Cofidece Itervals Cofidece Itervals are a extesio of the cocept of Margi of Error which we met earlier i this course. Remember we saw: The sample proportio will differ from the populatio proportio by more

More information

Hypothesis testing. Null and alternative hypotheses

Hypothesis testing. Null and alternative hypotheses Hypothesis testig Aother importat use of samplig distributios is to test hypotheses about populatio parameters, e.g. mea, proportio, regressio coefficiets, etc. For example, it is possible to stipulate

More information

Lecture 13. Lecturer: Jonathan Kelner Scribe: Jonathan Pines (2009)

Lecture 13. Lecturer: Jonathan Kelner Scribe: Jonathan Pines (2009) 18.409 A Algorithmist s Toolkit October 27, 2009 Lecture 13 Lecturer: Joatha Keler Scribe: Joatha Pies (2009) 1 Outlie Last time, we proved the Bru-Mikowski iequality for boxes. Today we ll go over the

More information

THE HEIGHT OF q-binary SEARCH TREES

THE HEIGHT OF q-binary SEARCH TREES THE HEIGHT OF q-binary SEARCH TREES MICHAEL DRMOTA AND HELMUT PRODINGER Abstract. q biary search trees are obtaied from words, equipped with the geometric distributio istead of permutatios. The average

More information

How To Solve The Homewor Problem Beautifully

How To Solve The Homewor Problem Beautifully Egieerig 33 eautiful Homewor et 3 of 7 Kuszmar roblem.5.5 large departmet store sells sport shirts i three sizes small, medium, ad large, three patters plaid, prit, ad stripe, ad two sleeve legths log

More information

PSYCHOLOGICAL STATISTICS

PSYCHOLOGICAL STATISTICS UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION B Sc. Cousellig Psychology (0 Adm.) IV SEMESTER COMPLEMENTARY COURSE PSYCHOLOGICAL STATISTICS QUESTION BANK. Iferetial statistics is the brach of statistics

More information

Center, Spread, and Shape in Inference: Claims, Caveats, and Insights

Center, Spread, and Shape in Inference: Claims, Caveats, and Insights Ceter, Spread, ad Shape i Iferece: Claims, Caveats, ad Isights Dr. Nacy Pfeig (Uiversity of Pittsburgh) AMATYC November 2008 Prelimiary Activities 1. I would like to produce a iterval estimate for the

More information

INVESTMENT PERFORMANCE COUNCIL (IPC)

INVESTMENT PERFORMANCE COUNCIL (IPC) INVESTMENT PEFOMANCE COUNCIL (IPC) INVITATION TO COMMENT: Global Ivestmet Performace Stadards (GIPS ) Guidace Statemet o Calculatio Methodology The Associatio for Ivestmet Maagemet ad esearch (AIM) seeks

More information

Enterprise Data Center A c h itec tu re Consorzio Operativo Gruppo MPS Case S t u d y : P r o g et t o D i sast er R ec o v er y Milano, 7 Febbraio 2006 1 Il G r u p p o M P S L a B a n c a M o n t e d

More information

Multi-server Optimal Bandwidth Monitoring for QoS based Multimedia Delivery Anup Basu, Irene Cheng and Yinzhe Yu

Multi-server Optimal Bandwidth Monitoring for QoS based Multimedia Delivery Anup Basu, Irene Cheng and Yinzhe Yu Multi-server Optimal Badwidth Moitorig for QoS based Multimedia Delivery Aup Basu, Iree Cheg ad Yizhe Yu Departmet of Computig Sciece U. of Alberta Architecture Applicatio Layer Request receptio -coectio

More information

Heat (or Diffusion) equation in 1D*

Heat (or Diffusion) equation in 1D* Heat (or Diffusio) equatio i D* Derivatio of the D heat equatio Separatio of variables (refresher) Worked eamples *Kreysig, 8 th Ed, Sectios.4b Physical assumptios We cosider temperature i a log thi wire

More information

Probabilistic Engineering Mechanics. Do Rosenblatt and Nataf isoprobabilistic transformations really differ?

Probabilistic Engineering Mechanics. Do Rosenblatt and Nataf isoprobabilistic transformations really differ? Probabilistic Egieerig Mechaics 4 (009) 577 584 Cotets lists available at ScieceDirect Probabilistic Egieerig Mechaics joural homepage: wwwelseviercom/locate/probegmech Do Roseblatt ad Nataf isoprobabilistic

More information

DOME ROOF OF ABOVEGROUND STEEL TANK WITH V=70000 m 3 CAPACITY. Lyubomir A. Zdravkov 1

DOME ROOF OF ABOVEGROUND STEEL TANK WITH V=70000 m 3 CAPACITY. Lyubomir A. Zdravkov 1 DOME ROOF OF ABOVEGROUND STEEL TANK WITH V=70000 m 3 CAPACITY Lyubomir A. Zdrako 1 Abstract: Dome roos are the lightest structure to coer cylidrical taks. Whe they are steel made they could ot be used

More information

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES Read Sectio 1.5 (pages 5 9) Overview I Sectio 1.5 we lear to work with summatio otatio ad formulas. We will also itroduce a brief overview of sequeces,

More information

Solving Logarithms and Exponential Equations

Solving Logarithms and Exponential Equations Solvig Logarithms ad Epoetial Equatios Logarithmic Equatios There are two major ideas required whe solvig Logarithmic Equatios. The first is the Defiitio of a Logarithm. You may recall from a earlier topic:

More information

CHAPTER 7: Central Limit Theorem: CLT for Averages (Means)

CHAPTER 7: Central Limit Theorem: CLT for Averages (Means) CHAPTER 7: Cetral Limit Theorem: CLT for Averages (Meas) X = the umber obtaied whe rollig oe six sided die oce. If we roll a six sided die oce, the mea of the probability distributio is X P(X = x) Simulatio:

More information

Floating Codes for Joint Information Storage in Write Asymmetric Memories

Floating Codes for Joint Information Storage in Write Asymmetric Memories Floatig Codes for Joit Iformatio Storage i Write Asymmetric Memories Axiao (Adrew Jiag Computer Sciece Departmet Texas A&M Uiversity College Statio, TX 77843-311 ajiag@cs.tamu.edu Vaske Bohossia Electrical

More information

Sequences and Series Using the TI-89 Calculator

Sequences and Series Using the TI-89 Calculator RIT Calculator Site Sequeces ad Series Usig the TI-89 Calculator Norecursively Defied Sequeces A orecursively defied sequece is oe i which the formula for the terms of the sequece is give explicitly. For

More information

15.075 Exam 3. Instructor: Cynthia Rudin TA: Dimitrios Bisias. November 22, 2011

15.075 Exam 3. Instructor: Cynthia Rudin TA: Dimitrios Bisias. November 22, 2011 15.075 Exam 3 Istructor: Cythia Rudi TA: Dimitrios Bisias November 22, 2011 Gradig is based o demostratio of coceptual uderstadig, so you eed to show all of your work. Problem 1 A compay makes high-defiitio

More information

Students' guide: Area of study 1 (The Western classical tradition 1650-1910)

Students' guide: Area of study 1 (The Western classical tradition 1650-1910) Students' guide: Area of study 1 (The Western classical tradition 1650-1910) This resource gives students a breakdown of Haydn's Symphony 101 in D major 'The Clock' movt. 2. It also offers guidance on

More information

Math 113 HW #11 Solutions

Math 113 HW #11 Solutions Math 3 HW # Solutios 5. 4. (a) Estimate the area uder the graph of f(x) = x from x = to x = 4 usig four approximatig rectagles ad right edpoits. Sketch the graph ad the rectagles. Is your estimate a uderestimate

More information

Chapter 5 O A Cojecture Of Erdíos Proceedigs NCUR VIII è1994è, Vol II, pp 794í798 Jeærey F Gold Departmet of Mathematics, Departmet of Physics Uiversity of Utah Do H Tucker Departmet of Mathematics Uiversity

More information

Type: Gearbox: Optional:

Type: Gearbox: Optional: Mt 5 Type: Gearbox: Optional: - Turbine 10/50 - Turbine 25/120 - B600 IO B M ICA R E T AR P ES O E G H O C L T A CATA PART LIS IECE DET P E SPAR OGUE DE L CATA - Dosidis - Easydis - Hydraulic - Alternator

More information

I apply to subscribe for a Stocks & Shares ISA for the tax year 20 /20 and each subsequent year until further notice.

I apply to subscribe for a Stocks & Shares ISA for the tax year 20 /20 and each subsequent year until further notice. IFSL Brooks Macdoald Fud Stocks & Shares ISA Trasfer Applicatio Form IFSL Brooks Macdoald Fud Stocks & Shares ISA Trasfer Applicatio Form Please complete usig BLOCK CAPITALS ad retur the completed form

More information

Time Value of Money, NPV and IRR equation solving with the TI-86

Time Value of Money, NPV and IRR equation solving with the TI-86 Time Value of Moey NPV ad IRR Equatio Solvig with the TI-86 (may work with TI-85) (similar process works with TI-83, TI-83 Plus ad may work with TI-82) Time Value of Moey, NPV ad IRR equatio solvig with

More information

A Combined Continuous/Binary Genetic Algorithm for Microstrip Antenna Design

A Combined Continuous/Binary Genetic Algorithm for Microstrip Antenna Design A Combied Cotiuous/Biary Geetic Algorithm for Microstrip Atea Desig Rady L. Haupt The Pesylvaia State Uiversity Applied Research Laboratory P. O. Box 30 State College, PA 16804-0030 haupt@ieee.org Abstract:

More information

1 The Gaussian channel

1 The Gaussian channel ECE 77 Lecture 0 The Gaussia chael Objective: I this lecture we will lear about commuicatio over a chael of practical iterest, i which the trasmitted sigal is subjected to additive white Gaussia oise.

More information

France caters to innovative companies and offers the best research tax credit in Europe

France caters to innovative companies and offers the best research tax credit in Europe 1/5 The Frech Govermet has three objectives : > improve Frace s fiscal competitiveess > cosolidate R&D activities > make Frace a attractive coutry for iovatio Tax icetives have become a key elemet of public

More information

Discrete Mathematics and Probability Theory Spring 2014 Anant Sahai Note 13

Discrete Mathematics and Probability Theory Spring 2014 Anant Sahai Note 13 EECS 70 Discrete Mathematics ad Probability Theory Sprig 2014 Aat Sahai Note 13 Itroductio At this poit, we have see eough examples that it is worth just takig stock of our model of probability ad may

More information

Baan Finance Accounts Payable

Baan Finance Accounts Payable Baa Fiace Accouts Payable Module Procedure UP035A US Documetiformatio Documet Documet code : UP035A US Documet group : User Documetatio Documet title : Accouts Payable Applicatio/Package : Baa Fiace Editio

More information

Output Analysis (2, Chapters 10 &11 Law)

Output Analysis (2, Chapters 10 &11 Law) B. Maddah ENMG 6 Simulatio 05/0/07 Output Aalysis (, Chapters 10 &11 Law) Comparig alterative system cofiguratio Sice the output of a simulatio is radom, the comparig differet systems via simulatio should

More information

How To Calculate A Life Insurance Premium In Korea

How To Calculate A Life Insurance Premium In Korea 1. A 2 year edowmet isurace of 1 o (6) has level aual beefit premiums payable at the begiig of each year for 1 years. The death beefit is payable at the momet of death. You are give that mortality follows

More information

Opis przedmiotu zamówienia - zakres czynności Usługi sprzątania obiektów Gdyńskiego Centrum Sportu

Opis przedmiotu zamówienia - zakres czynności Usługi sprzątania obiektów Gdyńskiego Centrum Sportu O p i s p r z e d m i o t u z a m ó w i e n i a - z a k r e s c z y n n o c i f U s ł u i s p r z» t a n i a o b i e k t ó w G d y s k i e C eo n t r u m S p o r t us I S t a d i o n p i ł k a r s k i

More information

GOOD PRACTICE CHECKLIST FOR INTERPRETERS WORKING WITH DOMESTIC VIOLENCE SITUATIONS

GOOD PRACTICE CHECKLIST FOR INTERPRETERS WORKING WITH DOMESTIC VIOLENCE SITUATIONS GOOD PRACTICE CHECKLIST FOR INTERPRETERS WORKING WITH DOMESTIC VIOLENCE SITUATIONS I the sprig of 2008, Stadig Together agaist Domestic Violece carried out a piece of collaborative work o domestic violece

More information

Load Balancing Mechanism in Agent-based Grid

Load Balancing Mechanism in Agent-based Grid Communications on Advanced Comutational Science with Alications 2016 No. 1 (2016) 57-62 Available online at www.isacs.com/cacsa Volume 2016, Issue 1, Year 2016 Article ID cacsa-00042, 6 Pages doi:10.5899/2016/cacsa-00042

More information

d e f i n i c j i p o s t a w y, z w i z a n e j e s t t o m. i n. z t y m, i p o jі c i e t o

d e f i n i c j i p o s t a w y, z w i z a n e j e s t t o m. i n. z t y m, i p o jі c i e t o P o s t a w y s p o і e c z e t s t w a w o b e c o s у b n i e p e і n o s p r a w n y c h z e s z c z e g у l n y m u w z g lb d n i e n i e m o s у b z z e s p o і e m D o w n a T h e a t t i t uodf

More information

Unit 8: Inference for Proportions. Chapters 8 & 9 in IPS

Unit 8: Inference for Proportions. Chapters 8 & 9 in IPS Uit 8: Iferece for Proortios Chaters 8 & 9 i IPS Lecture Outlie Iferece for a Proortio (oe samle) Iferece for Two Proortios (two samles) Cotigecy Tables ad the χ test Iferece for Proortios IPS, Chater

More information

Queuing Systems: Lecture 1. Amedeo R. Odoni October 10, 2001

Queuing Systems: Lecture 1. Amedeo R. Odoni October 10, 2001 Queuig Systems: Lecture Amedeo R. Odoi October, 2 Topics i Queuig Theory 9. Itroductio to Queues; Little s Law; M/M/. Markovia Birth-ad-Death Queues. The M/G/ Queue ad Extesios 2. riority Queues; State

More information

2. Degree Sequences. 2.1 Degree Sequences

2. Degree Sequences. 2.1 Degree Sequences 2. Degree Sequeces The cocept of degrees i graphs has provided a framewor for the study of various structural properties of graphs ad has therefore attracted the attetio of may graph theorists. Here we

More information

CS103A Handout 23 Winter 2002 February 22, 2002 Solving Recurrence Relations

CS103A Handout 23 Winter 2002 February 22, 2002 Solving Recurrence Relations CS3A Hadout 3 Witer 00 February, 00 Solvig Recurrece Relatios Itroductio A wide variety of recurrece problems occur i models. Some of these recurrece relatios ca be solved usig iteratio or some other ad

More information

Automatic Tuning for FOREX Trading System Using Fuzzy Time Series

Automatic Tuning for FOREX Trading System Using Fuzzy Time Series utomatic Tuig for FOREX Tradig System Usig Fuzzy Time Series Kraimo Maeesilp ad Pitihate Soorasa bstract Efficiecy of the automatic currecy tradig system is time depedet due to usig fixed parameters which

More information

ECONOMICS. Calculating loan interest no. 3.758

ECONOMICS. Calculating loan interest no. 3.758 F A M & A N H S E E S EONOMS alculatig loa iterest o. 3.758 y Nora L. Dalsted ad Paul H. Gutierrez Quick Facts... The aual percetage rate provides a coo basis to copare iterest charges associated with

More information

Vladimir N. Burkov, Dmitri A. Novikov MODELS AND METHODS OF MULTIPROJECTS MANAGEMENT

Vladimir N. Burkov, Dmitri A. Novikov MODELS AND METHODS OF MULTIPROJECTS MANAGEMENT Keywords: project maagemet, resource allocatio, etwork plaig Vladimir N Burkov, Dmitri A Novikov MODELS AND METHODS OF MULTIPROJECTS MANAGEMENT The paper deals with the problems of resource allocatio betwee

More information

HANDOUT E.17 - EXAMPLES ON BODE PLOTS OF FIRST AND SECOND ORDER SYSTEMS

HANDOUT E.17 - EXAMPLES ON BODE PLOTS OF FIRST AND SECOND ORDER SYSTEMS Lecture 7,8 Augut 8, 00 HANDOUT E7 - EXAMPLES ON BODE PLOTS OF FIRST AND SECOND ORDER SYSTEMS Example Obtai the Bode plot of the ytem give by the trafer fuctio ( We covert the trafer fuctio i the followig

More information

The Power of Free Branching in a General Model of Backtracking and Dynamic Programming Algorithms

The Power of Free Branching in a General Model of Backtracking and Dynamic Programming Algorithms The Power of Free Brachig i a Geeral Model of Backtrackig ad Dyamic Programmig Algorithms SASHKA DAVIS IDA/Ceter for Computig Scieces Bowie, MD sashka.davis@gmail.com RUSSELL IMPAGLIAZZO Dept. of Computer

More information

Module 2. The Science of Surface and Ground Water. Version 2 CE IIT, Kharagpur

Module 2. The Science of Surface and Ground Water. Version 2 CE IIT, Kharagpur Module The Sciece of Surface ad Groud Water Versio CE IIT, Kharagpur Lesso 8 Flow Dyamics i Ope Chaels ad Rivers Versio CE IIT, Kharagpur Istructioal Objectives O completio of this lesso, the studet shall

More information

Serial ATA PCI Host Adapter AEC-6290/6295

Serial ATA PCI Host Adapter AEC-6290/6295 Serial ATA PCI Host Adapter AEC-6290/6295 User s Maual Versio:1.0 Copyright 2003 ACARD Techology Corp. Release: April 2003 Copyright ad Trademarks The iformatio of the product i this maual is subject to

More information

Z-TEST / Z-STATISTIC: used to test hypotheses about. µ when the population standard deviation is unknown

Z-TEST / Z-STATISTIC: used to test hypotheses about. µ when the population standard deviation is unknown Z-TEST / Z-STATISTIC: used to test hypotheses about µ whe the populatio stadard deviatio is kow ad populatio distributio is ormal or sample size is large T-TEST / T-STATISTIC: used to test hypotheses about

More information

Supply Chain Network Design with Preferential Tariff under Economic Partnership Agreement

Supply Chain Network Design with Preferential Tariff under Economic Partnership Agreement roceedigs of the 2014 Iteratioal oferece o Idustrial Egieerig ad Oeratios Maageet Bali, Idoesia, Jauary 7 9, 2014 Suly hai Network Desig with referetial ariff uder Ecooic artershi greeet eichi Fuaki Yokohaa

More information

Spirit, Moving Over Chaos

Spirit, Moving Over Chaos 405-633 Clark/White Chorus, oboe or C inst., ercussion, ot. handbells, kybd. Text by Patricia Blaze Clark Music by David Ashley White 2 David Ashley White s secular and sacred comositions are widely erormed

More information

Swaps: Constant maturity swaps (CMS) and constant maturity. Treasury (CMT) swaps

Swaps: Constant maturity swaps (CMS) and constant maturity. Treasury (CMT) swaps Swaps: Costat maturity swaps (CMS) ad costat maturity reasury (CM) swaps A Costat Maturity Swap (CMS) swap is a swap where oe of the legs pays (respectively receives) a swap rate of a fixed maturity, while

More information

WHEN IS THE (CO)SINE OF A RATIONAL ANGLE EQUAL TO A RATIONAL NUMBER?

WHEN IS THE (CO)SINE OF A RATIONAL ANGLE EQUAL TO A RATIONAL NUMBER? WHEN IS THE (CO)SINE OF A RATIONAL ANGLE EQUAL TO A RATIONAL NUMBER? JÖRG JAHNEL 1. My Motivatio Some Sort of a Itroductio Last term I tought Topological Groups at the Göttige Georg August Uiversity. This

More information

Practice Writing the Letter A

Practice Writing the Letter A Aa Practice Writing the Letter A A a A a Write a in the blank to finish each word. c t re h d Write A in the blank to finish each word. nn US ndy Bb Practice Writing the Letter B B b B l P b Write b in

More information

1. C. The formula for the confidence interval for a population mean is: x t, which was

1. C. The formula for the confidence interval for a population mean is: x t, which was s 1. C. The formula for the cofidece iterval for a populatio mea is: x t, which was based o the sample Mea. So, x is guarateed to be i the iterval you form.. D. Use the rule : p-value

More information

Middagserie Eschatologie Oosterparkkerk, Amsterdam, December 2007

Middagserie Eschatologie Oosterparkkerk, Amsterdam, December 2007 Amserdam m Middagserie Eschalgie Oserparkkerk, Amserdam, December 2007 Onderweg na a r rgen Serie kerkdiensen ver chriselijke ekm sverw a ching f escha lg ie A m s e r d a m D e c e m b e r 2 0 0 7 V r

More information

A Comparison of Jolly Phonics and Jolly Grammar with the Six Phases of Letters and Sounds

A Comparison of Jolly Phonics and Jolly Grammar with the Six Phases of Letters and Sounds A Comparison of Jolly Phonics and Jolly Grammar with the Six Phases of Letters and Sounds Same Letters and Sounds Jolly Phonics Direct, daily, systematic teaching Active multisensory lessons, including

More information

THE ROLE OF EXPORTS IN ECONOMIC GROWTH WITH REFERENCE TO ETHIOPIAN COUNTRY

THE ROLE OF EXPORTS IN ECONOMIC GROWTH WITH REFERENCE TO ETHIOPIAN COUNTRY - THE ROLE OF EXPORTS IN ECONOMIC GROWTH WITH REFERENCE TO ETHIOPIAN COUNTRY BY: FAYE ENSERMU CHEMEDA Ethio-Italia Cooperatio Arsi-Bale Rural developmet Project Paper Prepared for the Coferece o Aual Meetig

More information

Gray level image enhancement using the Bernstein polynomials

Gray level image enhancement using the Bernstein polynomials Buletiul Ştiiţiic l Uiersităţii "Politehic" di Timişor Seri ELECTRONICĂ şi TELECOMUNICAŢII TRANSACTIONS o ELECTRONICS d COMMUNICATIONS Tom 47(6), Fscicol -, 00 Gry leel imge ehcemet usig the Berstei polyomils

More information

BaanERP. BaanERP Windows Client Installation Guide

BaanERP. BaanERP Windows Client Installation Guide BaaERP A publicatio of: Baa Developmet B.V. P.O.Box 143 3770 AC Bareveld The Netherlads Prited i the Netherlads Baa Developmet B.V. 1999. All rights reserved. The iformatio i this documet is subject to

More information

BaanERP 5.0c. EDI User Guide

BaanERP 5.0c. EDI User Guide BaaERP 5.0c A publicatio of: Baa Developmet B.V. P.O.Box 143 3770 AC Bareveld The Netherlads Prited i the Netherlads Baa Developmet B.V. 1999. All rights reserved. The iformatio i this documet is subject

More information

Tradigms of Astundithi and Toyota

Tradigms of Astundithi and Toyota Tradig the radomess - Desigig a optimal tradig strategy uder a drifted radom walk price model Yuao Wu Math 20 Project Paper Professor Zachary Hamaker Abstract: I this paper the author iteds to explore

More information

RF Engineering Continuing Education Introduction to Traffic Planning

RF Engineering Continuing Education Introduction to Traffic Planning RF Egieerig otiuig Educatio Itroductio to Traffic Plaig Queuig Systems Figure. shows a schematic reresetatio of a queuig system. This reresetatio is a mathematical abstractio suitable for may differet

More information

I apply to subscribe for a Stocks & Shares NISA for the tax year 2015/2016 and each subsequent year until further notice.

I apply to subscribe for a Stocks & Shares NISA for the tax year 2015/2016 and each subsequent year until further notice. IFSL Brooks Macdoald Fud Stocks & Shares NISA trasfer applicatio form IFSL Brooks Macdoald Fud Stocks & Shares NISA trasfer applicatio form Please complete usig BLOCK CAPITALS ad retur the completed form

More information

Taking DCOP to the Real World: Efficient Complete Solutions for Distributed Multi-Event Scheduling

Taking DCOP to the Real World: Efficient Complete Solutions for Distributed Multi-Event Scheduling Taig DCOP to the Real World: Efficiet Complete Solutios for Distributed Multi-Evet Schedulig Rajiv T. Maheswara, Milid Tambe, Emma Bowrig, Joatha P. Pearce, ad Pradeep araatham Uiversity of Souther Califoria

More information

Repeating Decimals are decimal numbers that have number(s) after the decimal point that repeat in a pattern.

Repeating Decimals are decimal numbers that have number(s) after the decimal point that repeat in a pattern. 5.5 Fractios ad Decimals Steps for Chagig a Fractio to a Decimal. Simplify the fractio, if possible. 2. Divide the umerator by the deomiator. d d Repeatig Decimals Repeatig Decimals are decimal umbers

More information

In English there are 26 letters which represent 44 phonemes. These phonemes are represented by approximately 140 different letter combinations.

In English there are 26 letters which represent 44 phonemes. These phonemes are represented by approximately 140 different letter combinations. PHONIC RULES/PATTERNS, WHICH MAY BE USEFUL AT EACH PHASE OF LETTERS AND SOUNDS NB: These rules are equally relevant to other synthetic phonics programmes In English there are 26 letters which represent

More information

Installment Joint Life Insurance Actuarial Models with the Stochastic Interest Rate

Installment Joint Life Insurance Actuarial Models with the Stochastic Interest Rate Iteratioal Coferece o Maagemet Sciece ad Maagemet Iovatio (MSMI 4) Istallmet Joit Life Isurace ctuarial Models with the Stochastic Iterest Rate Nia-Nia JI a,*, Yue LI, Dog-Hui WNG College of Sciece, Harbi

More information

5 Boolean Decision Trees (February 11)

5 Boolean Decision Trees (February 11) 5 Boolea Decisio Trees (February 11) 5.1 Graph Coectivity Suppose we are give a udirected graph G, represeted as a boolea adjacecy matrix = (a ij ), where a ij = 1 if ad oly if vertices i ad j are coected

More information

Confidence Intervals for Two Proportions

Confidence Intervals for Two Proportions PASS Samle Size Software Chater 6 Cofidece Itervals for Two Proortios Itroductio This routie calculates the grou samle sizes ecessary to achieve a secified iterval width of the differece, ratio, or odds

More information

NATIONAL SENIOR CERTIFICATE GRADE 12

NATIONAL SENIOR CERTIFICATE GRADE 12 NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 04 MARKS: 50 TIME: 3 hours This questio paper cosists of 8 pages ad iformatio sheet. Please tur over Mathematics/P DBE/04 NSC Grade Eemplar INSTRUCTIONS

More information

Present Value Tax Expenditure Estimate of Tax Assistance for Retirement Saving

Present Value Tax Expenditure Estimate of Tax Assistance for Retirement Saving Preset Value Tax Expediture Estimate of Tax Assistace for Retiremet Savig Tax Policy Brach Departmet of Fiace Jue 30, 1998 2 Preset Value Tax Expediture Estimate of Tax Assistace for Retiremet Savig This

More information

Put the human back in Human Resources.

Put the human back in Human Resources. Put the human back in Human Resources A Co m p l et e Hu m a n Ca p i t a l Ma n a g em en t So l u t i o n t h a t em p o w er s HR p r o f essi o n a l s t o m eet t h ei r co r p o r a t e o b j ect

More information

How to use what you OWN to reduce what you OWE

How to use what you OWN to reduce what you OWE How to use what you OWN to reduce what you OWE Maulife Oe A Overview Most Caadias maage their fiaces by doig two thigs: 1. Depositig their icome ad other short-term assets ito chequig ad savigs accouts.

More information

0.7 0.6 0.2 0 0 96 96.5 97 97.5 98 98.5 99 99.5 100 100.5 96.5 97 97.5 98 98.5 99 99.5 100 100.5

0.7 0.6 0.2 0 0 96 96.5 97 97.5 98 98.5 99 99.5 100 100.5 96.5 97 97.5 98 98.5 99 99.5 100 100.5 Sectio 13 Kolmogorov-Smirov test. Suppose that we have a i.i.d. sample X 1,..., X with some ukow distributio P ad we would like to test the hypothesis that P is equal to a particular distributio P 0, i.e.

More information

HCL Dynamic Spiking Protocol

HCL Dynamic Spiking Protocol ELI LILLY AND COMPANY TIPPECANOE LABORATORIES LAFAYETTE, IN Revisio 2.0 TABLE OF CONTENTS REVISION HISTORY... 2. REVISION.0... 2.2 REVISION 2.0... 2 2 OVERVIEW... 3 3 DEFINITIONS... 5 4 EQUIPMENT... 7

More information

Chapter 7: Confidence Interval and Sample Size

Chapter 7: Confidence Interval and Sample Size Chapter 7: Cofidece Iterval ad Sample Size Learig Objectives Upo successful completio of Chapter 7, you will be able to: Fid the cofidece iterval for the mea, proportio, ad variace. Determie the miimum

More information

Two people, one policy. Affordable long-term care coverage for both.

Two people, one policy. Affordable long-term care coverage for both. Log-term care rider, available o Natiowide YourLife No-Lapse Guaratee SUL II Feature guide LIFE INSURANCE + LONG-ERM CARE wo people, oe policy. Affordable log-term care coverage for both. NAIONWIDE LIFE

More information

1.- L a m e j o r o p c ió n e s c l o na r e l d i s co ( s e e x p li c a r á d es p u é s ).

1.- L a m e j o r o p c ió n e s c l o na r e l d i s co ( s e e x p li c a r á d es p u é s ). PROCEDIMIENTO DE RECUPERACION Y COPIAS DE SEGURIDAD DEL CORTAFUEGOS LINUX P ar a p od e r re c u p e ra r nu e s t r o c o rt a f u e go s an t e un d es a s t r e ( r ot u r a d e l di s c o o d e l a

More information

Soving Recurrence Relations

Soving Recurrence Relations Sovig Recurrece Relatios Part 1. Homogeeous liear 2d degree relatios with costat coefficiets. Cosider the recurrece relatio ( ) T () + at ( 1) + bt ( 2) = 0 This is called a homogeeous liear 2d degree

More information

Ž Ž Ň Ň Č ú Ď Ř Á Ó ž ž Ú ž ž Ň Á Š ž É Á Ň Ň Ň ú Ú Š Ó ž Ř ú Á ž Ď ú ú Ú Ú Ň Ž Á Ž Ž Á Ž Č É Ó Á Ž Ž Ř Ž Ř Ž Ř Ž Ř Ž Ž Ř Ž Ž Ž Ř Ž Ž Ž Ž Ř ú Ž Ž Ř Ý Š Ď ž Ý ž Ý Ď Ď Ž Á ú Š Á ž Ď ŽŽ Š Á Ň Ý ž Ď ú Č Ú

More information

Irreducible polynomials with consecutive zero coefficients

Irreducible polynomials with consecutive zero coefficients Irreducible polyomials with cosecutive zero coefficiets Theodoulos Garefalakis Departmet of Mathematics, Uiversity of Crete, 71409 Heraklio, Greece Abstract Let q be a prime power. We cosider the problem

More information

PROCEEDINGS OF THE YEREVAN STATE UNIVERSITY AN ALTERNATIVE MODEL FOR BONUS-MALUS SYSTEM

PROCEEDINGS OF THE YEREVAN STATE UNIVERSITY AN ALTERNATIVE MODEL FOR BONUS-MALUS SYSTEM PROCEEDINGS OF THE YEREVAN STATE UNIVERSITY Physical ad Mathematical Scieces 2015, 1, p. 15 19 M a t h e m a t i c s AN ALTERNATIVE MODEL FOR BONUS-MALUS SYSTEM A. G. GULYAN Chair of Actuarial Mathematics

More information

OWNER S MANUAL MUSIC PRODUCTION SYNTHESIZER

OWNER S MANUAL MUSIC PRODUCTION SYNTHESIZER OWNER S MANUAL MUSIC PRODUCTION SYNTHESIZER EN USB TO DEVICE TO HOST MIDI THRU OUT IN SPECIAL MESSAGE SECTION This product utilizes batteries or a exteral power supply (adapter). DO NOT coect this product

More information