Implementation of INCL cascade and ABLA evaporation codes in Geant4

Size: px
Start display at page:

Download "Implementation of INCL cascade and ABLA evaporation codes in Geant4"

Transcription

1 Jurnal f Physics: Cnference Series Implementatin f INCL cascade and ABLA evapratin cdes in Geant4 T cite this article: A Heikkinen et al 2008 J. Phys.: Cnf. Ser View the article nline fr updates and enhancements. Recent citatins - HEIR: A High-Energy Intra-Nuclear Cascade Liège-based residual nuclear data library fr simulatin with FISPACT-II M. Fleming et al - High-Energy Activatin Simulatin Cupling TENDL and SPACS with FISPACT-II Michael Fleming et al - GEANT4 simulatins f the n_tof spallatin surce and their benchmarking S. L Me et al This cntent was dwnladed frm IP address n 16//2018 at 05:11

2 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ Implementatin f INCL cascade and ABLA evapratin cdes in Geant4 A Heikkinen 1, P Kaitaniemi 1, A Budard 2 1 Helsinki Institute f Physics, P.O.Bx 64, FIN University f Helsinki, Finland 2 CEN-Saclay, CEA-DAPNIA/SPhN, Gif sur Yvette, France aats.heikkinen@cern.ch Abstract. We intrduce a new implementatin f the Liège cascade INCL4.2 and f the evapratin/fissin cde ABLA v3 in Geant4. INCL treats the cascade f hadrn, deuterium, tritium, and helium prjectiles f energies up t 3 GeV, while ABLA, based n evapratin and fissin, prvides a treatment f the excited nucleus prduced at the end f the cascade. Details f the implementatin f INCL and ABLA in the Geant4 9.1 release are presented and C++ perfrmance is cmpared with the riginal FORTRAN implementatin. A test suite fr validating the cde translatin is based n ROOT sftware, and we reprt n advanced features f ur testing envirnment, including scripting and autmatic dcumentatin. In additin, we intrduce a Geant4 applicatin using INCL and ABLA mdels, demnstrating the physics perfrmance and enabling cmparisns against anther Geant4 intermediate energy hadrnic mdel, the Bertini cascade. Finally we utline the future develpment f the Liège cascade, INCL5, in the cntext f the Geant4 hadrnic physics framewrk. 1. Intrductin Geant4 is a general detectr simulatin tlkit [1] prviding an extensive set f hadrnic physics mdels t meet user requirements in areas such as precisin studies f LHC hadrnic calrimetry shwer shapes, shielding studies in space applicatins, and spallatin studies in nuclear physics. A single hadrnic mdel is nt able t supprt all Geant4 user requirements in these areas which cver evapratin, intranuclear cascade and intermediate energies f up t -15 GeV. In these regins Geant4 prvides alternative mdels. The need t develp a additinal micrscpic intranuclear cdes is a Geant4 user requirement. Mre accurate mdels are particularly imprtant in detailed hadrnic calrimeter studies, since standard parametrized mdels based n Geant3 GEISHA cde [2] have truble reprducing shwer shapes accurately enugh [3] Thus we have set a gal t cmplement thery-driven Geant4 mdels in this regime (the Binary and Bertini cascades are currently mst widely used) with the inclusin f the INCL cde, als knwn as the Liège cascade. Since INCL is ften used with the independent evapratin/fissin cde ABLA, we decided t incrprate ABLA as well int Geant4. These cdes are actively develped and validated against recent data. Typical users are frm the nuclear physics cmmunity studying spallatin prcesses, fr example. With the inclusin f INCL/ABLA, Geant4 can respnd t the grwing list f user requirements frm nuclear physics cmmunity. We have cast these FORTRAN-based cdes int C++, and will prceed nw t a redesign f the mdel structure. The main bjective f the redesign prject is t c 2008 IOP Publishing Ltd 1

3 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ facilitate easier develpment f future physics features with a clearly structured cdebase. This can be dne by fcusing n the design f prper data structures that represent the physics incrprated int INCL and ABLA in the mst natural way pssible. The next step in redesign will be t prepare well-defined data structures with access methds supprting fully the interfaces defined in the Geant4 hadrnic physics framewrk [4] This will imprve the cde quality and make develpment and debugging wrk easier. We believe that C++ releases f stand-alne INCL and ABLA cdes will benefit the nuclear and particle physics simulatin cmmunities in general, since currently Geant4 is ne f the few majr C++ -based detectr simulatin tls available. Future releases f C++ -based INCL and ABLA cdes hpefully shw a general trend in ur cmmunity t supprt and adpt cntemprary prgramming paradigms fr physics mdelling. The utline f this paper is as fllws: in sectin 2 we summarize the features f INCL and ABLA cdes. Fr detailed discussins n INCL and ABLA mdels we refer t publicatins listed in table 1. In sectin 3 the design f the first implementatin f INC4.2 and ABLA v3 is presented. Sectin 4 describes validatin between the FORTRAN and C++ versins. Finally, sectin 5 discusses the future plans f ur prject. 2. Mdeling intra-nuclear cascade and evapratin with INCL and ABLA cdes INCL is an intra-nuclear cascade cde, which is largely free f parameters. It has been carefully validated against recent spallatin data tgether with the ABLA evapratin/fissin mdel. Frm the Geant4 perspective, INCL prvides particularly interesting mdels because f its cntinuing develpment and up-t-date validatin prgram. The key features f INCL4.2 and ABLA v3 are summarized in table 1, tgether with key references t detailed descriptins f specific mdel features. Table 1. Summary f key features available in INCL and ABLA cdes. Fr detailed discussins f mdels we refer t publicatins listed in this table. INCL4.2 Key references [5, 6, 7, 8] Prjectiles p, n, pins (π +, π 0, π ) d, t, 3 He, α Energy range 200 MeV - 3 GeV Target nuclei Carbn - Uranium Mdels Wds-Saxn nuclear ptential Culmb barrier Nn-unifrm time-step Pin and delta prductin crss sectins Delta decay Pauli blcking Utility functins making INCL an independent cde ABLA v3 Key references [9, ] Supprted input Excited nuclei Mdels Evapratin f p, n, and α Fissin Output particles p, n, α, fissin prducts, and residual nuclei 2

4 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ Implementing INCL and ABLA fr Geant4 release We have translated INCL4.2 and ABLA v3 cdes frm FORTRAN t C++ and interfaced these mdels t the Geant4 9.1 hadrnic physics framewrk using standard interfaces. Figure 1 prvides a UML diagram describing key classes prepared fr the first release. The first release included in Geant4 9.1 cntain a simple and straightfrward translatin fllwing clsely the riginal cde structure, data flw, and algrithms. Users f these cascade r evapratin cdes can build their Geant4 physics list by using the interface classes G4InclCascadeInterface, G4InclLightInInterface, r G4AblaEvapratin. Dcumentatin and example cde is prvided t clarify the details. Figure 1. Main cmpnents f the first C++ implementatin f INCL4.2 and ABLA v3 in Geant This first iteratin f the class design, visualized with Unified Mdeling Language UML, fllws clsely the rganizatin f the riginal FORTRAN cde, thus simplifying the casting t C++. T dcument the new implementatins f INCL and ABLA we have used the Dxygen dcumentatin system tgether with the advanced intrspectin features prvided by the ROOT prgramming envirnment [11]. This system generates HTML pages and graphics that can be upladed t the web and viewed by any standards-cmpliant web brwser. Figure 2 shws an example f a Dxygen call graph fr the G4InclLightInInterface::ApplyYurself() -methd and figure 3 demnstrates LaTeX supprt available in Dxygen. 4. Validating INCL and ABLA mdels in Geant4 The first implementatins f the INCL and ABLA cdes in the Geant4 framewrk were direct translatins, in which each FORTRAN functin was mapped simply t a crrespnding C++ methd. We have been able t validate in detail the quality f the translatin. 3

5 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ Figure 2. Dxygen based HTML dcumentatin fr the INCL interface. A call graph fr the G4InclLightInInterface::ApplyYurself functin is shwn. Fr users, the n-line class brwser generated by Dxygen prvides a quick way t understand the structure f the cde. Figure 3. Wds-Saxn nuclear ptential in Geant4 9.1 INCL release. This n-line dcumentatin is prduced by Dxygen HTML-generatin. The test suite fr the validatin f the translatin is based n ROOT sftware [11]. ROOT prvides a C++ scripting system that has prven t be a gd envirnment fr sftware develpment. In additin t ROOT scripting fr hybrid FORTRAN C++ cmparisns, we used autmatic dcumentatin features t systematize unit testing. Histgrams resulting frm ROOT scripts were included recursively back t related HTML-dcuments. This functinality is made available and enfrced with the reflectivity extensin, enabling intrspectin f data structures. Figure 4 shws a cmparisn between C++ and FORTRAN versins. Clse t the target 4

6 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ mass, the crss sectins agree reasnably well if we cnsider that the randm number generatrs are nt the same. The further the mass is frm the target ne the larger is the deviatin between the cde versins. This indicates a pssible incmpatibility between the FORTRAN and the C++ versin f the de-excitatin (ABLA part). This cnclusin is cnfirmed if we lk at the neutrn spectra prduced frm prtns f 1.2 GeV n Lead in Figure 8. Abve 20 MeV the neutrns are purely prduced by the cascade stage and we can nte a perfect agreement in energy and angle between the tw versins. Belw 20 MeV the spectrum is dminated by evapratin, we cnclude that there are sme remaining prblems in the C++ translatin f ABLA. Figure 5 extends the verificatin by cmparing INCL/ABLA perfrmance against anther mdel, the Bertini cascade, available in Geant4. n(425 MeV) + 63Cu p(1gev) + Pb (3 mm) Geant4 simulatin Number f particles 3 2 C++ FORTRAN Cunts INCL4/ABLA Bertini Mass number f the residual nuclei Figure 4. Validating FORTRAN t C++ translatin f INCL and ABLA mdels. Residual nuclei mass number distributin is shwn fr cllisins initiated by 425 MeV neutrns clliding with a 63 Cu target. Sme amunt f fluctuatin in the histgrams is expected, since the randm number generatrs are different in bth versins Mass number f the residual nuclei Figure 5. INCL/ABLA mdel perfrmance in Geant4 cmpared with the Bertini mdel which cntains an internal treatment fr evapratin and fissin [12]. This kind f cmparisn prvides a starting pint fr preparing an ptimal physics list fr a specific physics use case. Figures 6 and 7 demnstrate an example applicatin prepared fr utilizing new mdels. Visualizatin f inelastic scattering prduced by INCL and ABLA mdels is supprted with the ability t cllect simulated data int histgrams. 5. Cnclusin and future plans We have published INCL4.2 and ABLA v3 in the December 2006 release f Geant After this first release we will prceed t re-design the cdes. This step will be particularly sensitive since INCL4.2 and the upcming INCL5 C++ versins need t be released als as independent cdes. Recently there has been great interest cming frm the medical physics cmmunity t simulate treatment facilities utilizing Carbn beams. Thus, we cntinue t develp and validate these mdels and supprt ur users in particle, nuclear, and medical physics cmmunities alike. 6. Acknwledgements We are grateful t INCL develpers Jseph Cugnn (University f Liége, Belgium) and Y. Yariv (SphN-DAPNIA, CEA-Saclay and Sreq, Israël) fr supprting this prject, and cntributing t tw INCL/ABLA-Geant4 mini-wrkshps rganized in The ABLA grup kindly 5

7 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ Figure 6. An example Geant4 9.1 applicatin utilizing INCL4.2 cascade mdel. Prtn prjectiles with 500 MeV energy are incident upn a 2 mm Pb target. A visualizatin f 0 events is shwn. Figure 7. Lg frm example applicatin assciated with Figure 6. prvided cde fr the Geant4 translatin prject. Special thanks t Christelle Schmidt (IPNL) fr prviding a C++ translatin f the fissin part f ABLA. Thanks t Alexander Hward and Albert Ribn frm CERN fr acting as Geant4 testers fr the interfaces we prvided using C++ wrapped FORTRAN-based INCL and ABLA. and validating physics against TARC data. Finally, we acknwledge Dennis Wright frm SLAC fr kindly reading the manuscript and prviding his feedback. References [1] Agstinelli A et al Nucl. Instr. & Meth A [2] Fesefeldt H C 1985 Technical Reprt PITHA [3] Rimldi A (T be published in the prceedings f CHEP 07) [4] Wellisch J P 2001 Cmp. Phys. Cmmun [5] Cugnn J et al Nuc. Phys. A [6] Cugnn J et al Nuc. Phys. A [7] Cugnn J et al Nuc. Phys. A [8] Budard A et al Phys. Rev. C [9] Junghans A R al Nuc. Phys. A [] Benlliure J et al Nuc. Phys. A [11] Brun R and Rademakers F 1997 Nucl. Instr. & Meth A [12] Heikkinen A et al nucl-th/ , SLAC-R-636 6

8 Internatinal Cnference n Cmputing in High Energy and Nuclear Physics (CHEP 07) IOP Publishing Jurnal f Physics: Cnference Series 119 (2008) di:.88/ /119/3/ p(1.2 GeV) + 208Pb (INCL4+ABLA) Crss sectin (mb) Neutrn Energy (MeV) 3 Figure 8. Example f first implementatin f INCL4.2 tgether with ABLA v3 in Geant Neutrn duble differential crss sectin fr 1.2 GeV prtn-induced reactins n Pb is cmpared with the experimental data frm Reference [8] The red histgram is prduced by the C++ versin and the black histgram by the FORTRAN versin. There is sme discrepancy between the tw versins fr energies belw 20 MeV. This indicates that the Geant4 versin f the ABLA still need t be imprved. 7

Progress in hadronic physics modelling in Geant4

Progress in hadronic physics modelling in Geant4 XIII Internatinal Cnference n Calrimetry in High Energy Physics (CALOR 2008) IOP Publishing Jurnal f Physics: Cnference Series 60 (2009) 02073 di:.88/742-6596/60//02073 Prgress in hadrnic physics mdelling

More information

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007

CS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007 CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is

More information

Checking the resolved resonance region in EXFOR database

Checking the resolved resonance region in EXFOR database Checking the reslved resnance regin in EXFOR database Gttfried Bertn Sciété de Calcul Mathématique (SCM) Oscar Cabells OECD/NEA Data Bank JEFF Meetings - Sessin JEFF Experiments Nvember 0-4, 017 Bulgne-Billancurt,

More information

GENESIS Structural Optimization for ANSYS Mechanical

GENESIS Structural Optimization for ANSYS Mechanical P3 STRUCTURAL OPTIMIZATION (Vl. II) GENESIS Structural Optimizatin fr ANSYS Mechanical An Integrated Extensin that adds Structural Optimizatin t ANSYS Envirnment New Features and Enhancements Release 2017.03

More information

Validation of Geant4 Hadronic Physics

Validation of Geant4 Hadronic Physics Validatin f Geant4 Hadrnic Physics J. Beringer, G. Flger, F. Giantti, A. Ribn, J.P. Wellisch, CERN D. Barberis, M. Cervett, B. Osculati, Gena University and INFN Abstract Recent wrk n the validatin f Geant4

More information

Modelling of Clock Behaviour. Don Percival. Applied Physics Laboratory University of Washington Seattle, Washington, USA

Modelling of Clock Behaviour. Don Percival. Applied Physics Laboratory University of Washington Seattle, Washington, USA Mdelling f Clck Behaviur Dn Percival Applied Physics Labratry University f Washingtn Seattle, Washingtn, USA verheads and paper fr talk available at http://faculty.washingtn.edu/dbp/talks.html 1 Overview

More information

WRITING THE REPORT. Organizing the report. Title Page. Table of Contents

WRITING THE REPORT. Organizing the report. Title Page. Table of Contents WRITING THE REPORT Organizing the reprt Mst reprts shuld be rganized in the fllwing manner. Smetime there is a valid reasn t include extra chapters in within the bdy f the reprt. 1. Title page 2. Executive

More information

Document for ENES5 meeting

Document for ENES5 meeting HARMONISATION OF EXPOSURE SCENARIO SHORT TITLES Dcument fr ENES5 meeting Paper jintly prepared by ECHA Cefic DUCC ESCOM ES Shrt Titles Grup 13 Nvember 2013 OBJECTIVES FOR ENES5 The bjective f this dcument

More information

ENSC Discrete Time Systems. Project Outline. Semester

ENSC Discrete Time Systems. Project Outline. Semester ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding

More information

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology

Technical Bulletin. Generation Interconnection Procedures. Revisions to Cluster 4, Phase 1 Study Methodology Technical Bulletin Generatin Intercnnectin Prcedures Revisins t Cluster 4, Phase 1 Study Methdlgy Release Date: Octber 20, 2011 (Finalizatin f the Draft Technical Bulletin released n September 19, 2011)

More information

Aerodynamic Separability in Tip Speed Ratio and Separability in Wind Speed- a Comparison

Aerodynamic Separability in Tip Speed Ratio and Separability in Wind Speed- a Comparison Jurnal f Physics: Cnference Series OPEN ACCESS Aerdynamic Separability in Tip Speed Rati and Separability in Wind Speed- a Cmparisn T cite this article: M L Gala Sants et al 14 J. Phys.: Cnf. Ser. 555

More information

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION

NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION NUROP Chinese Pinyin T Chinese Character Cnversin NUROP CONGRESS PAPER CHINESE PINYIN TO CHINESE CHARACTER CONVERSION CHIA LI SHI 1 AND LUA KIM TENG 2 Schl f Cmputing, Natinal University f Singapre 3 Science

More information

Chapter 3: Cluster Analysis

Chapter 3: Cluster Analysis Chapter 3: Cluster Analysis } 3.1 Basic Cncepts f Clustering 3.1.1 Cluster Analysis 3.1. Clustering Categries } 3. Partitining Methds 3..1 The principle 3.. K-Means Methd 3..3 K-Medids Methd 3..4 CLARA

More information

Subject description processes

Subject description processes Subject representatin 6.1.2. Subject descriptin prcesses Overview Fur majr prcesses r areas f practice fr representing subjects are classificatin, subject catalging, indexing, and abstracting. The prcesses

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

Department: MATHEMATICS

Department: MATHEMATICS Cde: MATH 022 Title: ALGEBRA SKILLS Institute: STEM Department: MATHEMATICS Curse Descriptin: This curse prvides students wh have cmpleted MATH 021 with the necessary skills and cncepts t cntinue the study

More information

CAUSAL INFERENCE. Technical Track Session I. Phillippe Leite. The World Bank

CAUSAL INFERENCE. Technical Track Session I. Phillippe Leite. The World Bank CAUSAL INFERENCE Technical Track Sessin I Phillippe Leite The Wrld Bank These slides were develped by Christel Vermeersch and mdified by Phillippe Leite fr the purpse f this wrkshp Plicy questins are causal

More information

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c Materials Science Frum Online: 2009-08-31 ISSN: 1662-9752, Vls. 628-629, pp 623-628 di:10.4028/www.scientific.net/msf.628-629.623 2009 Trans Tech Publicatins, Switzerland 3D FE Mdeling Simulatin f Cld

More information

Biocomputers. [edit]scientific Background

Biocomputers. [edit]scientific Background Bicmputers Frm Wikipedia, the free encyclpedia Bicmputers use systems f bilgically derived mlecules, such as DNA and prteins, t perfrm cmputatinal calculatins invlving string, retrieving, and prcessing

More information

SUPPLEMENTARY MATERIAL GaGa: a simple and flexible hierarchical model for microarray data analysis

SUPPLEMENTARY MATERIAL GaGa: a simple and flexible hierarchical model for microarray data analysis SUPPLEMENTARY MATERIAL GaGa: a simple and flexible hierarchical mdel fr micrarray data analysis David Rssell Department f Bistatistics M.D. Andersn Cancer Center, Hustn, TX 77030, USA rsselldavid@gmail.cm

More information

Computational modeling techniques

Computational modeling techniques Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins

More information

(2) Even if such a value of k was possible, the neutrons multiply

(2) Even if such a value of k was possible, the neutrons multiply CHANGE OF REACTOR Nuclear Thery - Curse 227 POWER WTH REACTVTY CHANGE n this lessn, we will cnsider hw neutrn density, neutrn flux and reactr pwer change when the multiplicatin factr, k, r the reactivity,

More information

ECE 545 Project Deliverables

ECE 545 Project Deliverables ECE 545 Prject Deliverables Tp-level flder: _ Secnd-level flders: 1_assumptins 2_blck_diagrams 3_interface 4_ASM_charts 5_surce_cde 6_verificatin 7_timing_analysis 8_results

More information

INCL INTRA-NUCLEAR CASCADE AND ABLA DE-EXCITATION MODELS IN GEANT4

INCL INTRA-NUCLEAR CASCADE AND ABLA DE-EXCITATION MODELS IN GEANT4 Joint International Conference on Supercomputing in Nuclear Applications and Monte Carlo (SNA + MC) Hitotsubashi Memorial Hall, Tokyo, Japan, October -, INCL INTRA-NUCLEAR CASCADE AND ABLA DE-EXCITATION

More information

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) >

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) > Btstrap Methd > # Purpse: understand hw btstrap methd wrks > bs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(bs) > mean(bs) [1] 21.64625 > # estimate f lambda > lambda = 1/mean(bs);

More information

Writing Guidelines. (Updated: November 25, 2009) Forwards

Writing Guidelines. (Updated: November 25, 2009) Forwards Writing Guidelines (Updated: Nvember 25, 2009) Frwards I have fund in my review f the manuscripts frm ur students and research assciates, as well as thse submitted t varius jurnals by thers that the majr

More information

1996 Engineering Systems Design and Analysis Conference, Montpellier, France, July 1-4, 1996, Vol. 7, pp

1996 Engineering Systems Design and Analysis Conference, Montpellier, France, July 1-4, 1996, Vol. 7, pp THE POWER AND LIMIT OF NEURAL NETWORKS T. Y. Lin Department f Mathematics and Cmputer Science San Jse State University San Jse, Califrnia 959-003 tylin@cs.ssu.edu and Bereley Initiative in Sft Cmputing*

More information

~Alamos LA-UR- Development of a Neutron POD Spectrometer. Sy Stange, Douglas Mayo, Rollin Lakis, and M. William Johnson

~Alamos LA-UR- Development of a Neutron POD Spectrometer. Sy Stange, Douglas Mayo, Rollin Lakis, and M. William Johnson LA-UR- Apprved fr public release; distributin is unlimited. Title: Develpment f a Neutrn POD Spectrmeter Authr(s): Sy Stange, Duglas May, Rllin Lakis, and M. William Jhnsn Intended fr: Institute f Nuclear

More information

On Huntsberger Type Shrinkage Estimator for the Mean of Normal Distribution ABSTRACT INTRODUCTION

On Huntsberger Type Shrinkage Estimator for the Mean of Normal Distribution ABSTRACT INTRODUCTION Malaysian Jurnal f Mathematical Sciences 4(): 7-4 () On Huntsberger Type Shrinkage Estimatr fr the Mean f Nrmal Distributin Department f Mathematical and Physical Sciences, University f Nizwa, Sultanate

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

I. SEARCH PARAMETERS AND ACCEPTANCE CRITERIA

I. SEARCH PARAMETERS AND ACCEPTANCE CRITERIA Revised Publicatin Guidelines fr Dcumenting the Identificatin and Quantificatin f Peptides, Prteins, and Pst Translatinal Mdificatins by Mass Spectrmetry The identificatin f prteins r peptides is cmmnly

More information

Enhancing Performance of MLP/RBF Neural Classifiers via an Multivariate Data Distribution Scheme

Enhancing Performance of MLP/RBF Neural Classifiers via an Multivariate Data Distribution Scheme Enhancing Perfrmance f / Neural Classifiers via an Multivariate Data Distributin Scheme Halis Altun, Gökhan Gelen Nigde University, Electrical and Electrnics Engineering Department Nigde, Turkey haltun@nigde.edu.tr

More information

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions.

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions. BASD High Schl Frmal Lab Reprt GENERAL INFORMATION 12 pt Times New Rman fnt Duble-spaced, if required by yur teacher 1 inch margins n all sides (tp, bttm, left, and right) Always write in third persn (avid

More information

Module 4: General Formulation of Electric Circuit Theory

Module 4: General Formulation of Electric Circuit Theory Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

Comprehensive Exam Guidelines Department of Chemical and Biomolecular Engineering, Ohio University

Comprehensive Exam Guidelines Department of Chemical and Biomolecular Engineering, Ohio University Cmprehensive Exam Guidelines Department f Chemical and Bimlecular Engineering, Ohi University Purpse In the Cmprehensive Exam, the student prepares an ral and a written research prpsal. The Cmprehensive

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

Design and Simulation of Dc-Dc Voltage Converters Using Matlab/Simulink

Design and Simulation of Dc-Dc Voltage Converters Using Matlab/Simulink American Jurnal f Engineering Research (AJER) 016 American Jurnal f Engineering Research (AJER) e-issn: 30-0847 p-issn : 30-0936 Vlume-5, Issue-, pp-9-36 www.ajer.rg Research Paper Open Access Design and

More information

Floating Point Method for Solving Transportation. Problems with Additional Constraints

Floating Point Method for Solving Transportation. Problems with Additional Constraints Internatinal Mathematical Frum, Vl. 6, 20, n. 40, 983-992 Flating Pint Methd fr Slving Transprtatin Prblems with Additinal Cnstraints P. Pandian and D. Anuradha Department f Mathematics, Schl f Advanced

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

8 th Grade Math: Pre-Algebra

8 th Grade Math: Pre-Algebra Hardin Cunty Middle Schl (2013-2014) 1 8 th Grade Math: Pre-Algebra Curse Descriptin The purpse f this curse is t enhance student understanding, participatin, and real-life applicatin f middle-schl mathematics

More information

CHM112 Lab Graphing with Excel Grading Rubric

CHM112 Lab Graphing with Excel Grading Rubric Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline

More information

Power Formulas for Various Energy Resources and Their Application

Power Formulas for Various Energy Resources and Their Application EP@BHS-TOPIC 2: Energy, UNIT2.2: Energy Cnversin and Efficiency Page 1 UNIT 2.2 Energy Cnversin and Efficiency Purpse Once energy resurces are effectively utilized, cnversin t ther frms f energy is necessary

More information

Determining the Accuracy of Modal Parameter Estimation Methods

Determining the Accuracy of Modal Parameter Estimation Methods Determining the Accuracy f Mdal Parameter Estimatin Methds by Michael Lee Ph.D., P.E. & Mar Richardsn Ph.D. Structural Measurement Systems Milpitas, CA Abstract The mst cmmn type f mdal testing system

More information

Evaporation and pre-equilibrium

Evaporation and pre-equilibrium equilibrium emissin and fissin time scale in GeV p-induced spallatin reactins frank gldenbaum fr the nessi/pisa cllabratin NESSI@COSY & PISA@COSY experiment identificatin f LCP, IMFs: H, He, Li, and Be

More information

ECEN 4872/5827 Lecture Notes

ECEN 4872/5827 Lecture Notes ECEN 4872/5827 Lecture Ntes Lecture #5 Objectives fr lecture #5: 1. Analysis f precisin current reference 2. Appraches fr evaluating tlerances 3. Temperature Cefficients evaluatin technique 4. Fundamentals

More information

Land Information New Zealand Topographic Strategy DRAFT (for discussion)

Land Information New Zealand Topographic Strategy DRAFT (for discussion) Land Infrmatin New Zealand Tpgraphic Strategy DRAFT (fr discussin) Natinal Tpgraphic Office Intrductin The Land Infrmatin New Zealand Tpgraphic Strategy will prvide directin fr the cllectin and maintenance

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

CHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came.

CHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came. MATH 1342 Ch. 24 April 25 and 27, 2013 Page 1 f 5 CHAPTER 24: INFERENCE IN REGRESSION Chapters 4 and 5: Relatinships between tw quantitative variables. Be able t Make a graph (scatterplt) Summarize the

More information

Physical Layer: Outline

Physical Layer: Outline 18-: Intrductin t Telecmmunicatin Netwrks Lectures : Physical Layer Peter Steenkiste Spring 01 www.cs.cmu.edu/~prs/nets-ece Physical Layer: Outline Digital Representatin f Infrmatin Characterizatin f Cmmunicatin

More information

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Sandy D. Balkin Dennis K. J. Lin y Pennsylvania State University, University Park, PA 16802 Sandy Balkin is a graduate student

More information

the results to larger systems due to prop'erties of the projection algorithm. First, the number of hidden nodes must

the results to larger systems due to prop'erties of the projection algorithm. First, the number of hidden nodes must M.E. Aggune, M.J. Dambrg, M.A. El-Sharkawi, R.J. Marks II and L.E. Atlas, "Dynamic and static security assessment f pwer systems using artificial neural netwrks", Prceedings f the NSF Wrkshp n Applicatins

More information

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng

More information

Activity Guide Loops and Random Numbers

Activity Guide Loops and Random Numbers Unit 3 Lessn 7 Name(s) Perid Date Activity Guide Lps and Randm Numbers CS Cntent Lps are a relatively straightfrward idea in prgramming - yu want a certain chunk f cde t run repeatedly - but it takes a

More information

A Comparison of Methods for Computing the Eigenvalues and Eigenvectors of a Real Symmetric Matrix. By Paul A. White and Robert R.

A Comparison of Methods for Computing the Eigenvalues and Eigenvectors of a Real Symmetric Matrix. By Paul A. White and Robert R. A Cmparisn f Methds fr Cmputing the Eigenvalues and Eigenvectrs f a Real Symmetric Matrix By Paul A. White and Rbert R. Brwn Part I. The Eigenvalues I. Purpse. T cmpare thse methds fr cmputing the eigenvalues

More information

Methods for Determination of Mean Speckle Size in Simulated Speckle Pattern

Methods for Determination of Mean Speckle Size in Simulated Speckle Pattern 0.478/msr-04-004 MEASUREMENT SCENCE REVEW, Vlume 4, N. 3, 04 Methds fr Determinatin f Mean Speckle Size in Simulated Speckle Pattern. Hamarvá, P. Šmíd, P. Hrváth, M. Hrabvský nstitute f Physics f the Academy

More information

Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs

Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs Admissibility Cnditins and Asympttic Behavir f Strngly Regular Graphs VASCO MOÇO MANO Department f Mathematics University f Prt Oprt PORTUGAL vascmcman@gmailcm LUÍS ANTÓNIO DE ALMEIDA VIEIRA Department

More information

A New Evaluation Measure. J. Joiner and L. Werner. The problems of evaluation and the needed criteria of evaluation

A New Evaluation Measure. J. Joiner and L. Werner. The problems of evaluation and the needed criteria of evaluation III-l III. A New Evaluatin Measure J. Jiner and L. Werner Abstract The prblems f evaluatin and the needed criteria f evaluatin measures in the SMART system f infrmatin retrieval are reviewed and discussed.

More information

How do scientists measure trees? What is DBH?

How do scientists measure trees? What is DBH? Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between

More information

CHEMISTRY 1903 SHI-LING KOU 2011

CHEMISTRY 1903 SHI-LING KOU 2011 CHEMISTRY 1903 SHI-LING KOU 2011 THE ORIGINS OF MODERN CHEMISTRY Evlutin f the atmic thery Daltn s Atmic Thery (1808) Matter cnsists f indivisible particles (atms) Atms f ne element can t be cnverted int

More information

Science 9 Unit 2: Atoms, Elements and Compounds

Science 9 Unit 2: Atoms, Elements and Compounds Science 9 Unit 2: Atms, Elements and Cmpunds demnstrate a knwledge f WHMIS standards by using prper techniques fr handling and dispsing f lab materials (209-7) cmpare earlier cnceptins f the structure

More information

Theoretical study of third virial coefficient with Kihara potential

Theoretical study of third virial coefficient with Kihara potential Theretical study f third virial cefficient with Kihara ptential Jurnal: Manuscript ID cjp-017-0705.r Manuscript Type: Article Date Submitted by the Authr: 6-Dec-017 Cmplete List f Authrs: Smuncu E.; Giresun

More information

Experiment #3. Graphing with Excel

Experiment #3. Graphing with Excel Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-

More information

Web-based GIS Systems for Radionuclides Monitoring. Dr. Todd Pierce Locus Technologies

Web-based GIS Systems for Radionuclides Monitoring. Dr. Todd Pierce Locus Technologies Web-based GIS Systems fr Radinuclides Mnitring Dr. Tdd Pierce Lcus Technlgies Lcus Technlgies 2014 Overview What is the prblem? Nuclear pwer plant peratrs need t mnitr radinuclides t safeguard the envirnment

More information

Early detection of mining truck failure by modelling its operation with neural networks classification algorithms

Early detection of mining truck failure by modelling its operation with neural networks classification algorithms RU, Rand GOLOSINSKI, T.S. Early detectin f mining truck failure by mdelling its peratin with neural netwrks classificatin algrithms. Applicatin f Cmputers and Operatins Research ill the Minerals Industries,

More information

Building research leadership consortia for Quantum Technology Research Hubs. Call type: Expression of Interest

Building research leadership consortia for Quantum Technology Research Hubs. Call type: Expression of Interest Building research leadership cnsrtia fr Quantum Technlgy Research Hubs Call type: Expressin f Interest Clsing date: 17:00, 07 August 2018 Hw t apply: Expressin f Interest (EI) fr research leaders t attend

More information

Math Foundations 20 Work Plan

Math Foundations 20 Work Plan Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant

More information

Introduction to Geant4

Introduction to Geant4 ICRM Mnte Carl Intercmparisn 27-28 Nvember 2006, Paris (France) Intrductin t Geant4 S. Hurtad Servici de Radiisótps Centr de Investigación, Tecnlgía e Innvación (CITIUS) Sevilla SPAIN What is GEANT4? Geant4,

More information

LDS emarket. Section 11 - Catalog Load Process

LDS emarket. Section 11 - Catalog Load Process LDS emarket Sectin 11 - Catalg Lad Prcess Catalg Lad Prcess There are three types f catalgs in LDS emarket: Supplier Direct Web Site An nline catalg f items hsted by the supplier using HTML cding PRG A

More information

Query Expansion. Lecture Objectives. Text Technologies for Data Science INFR Learn about Query Expansion. Implement: 10/24/2017

Query Expansion. Lecture Objectives. Text Technologies for Data Science INFR Learn about Query Expansion. Implement: 10/24/2017 Tet Technlgies fr Data Science INFR11145 Query Epansin Instructr: Walid Magdy 24-Oct-2017 Lecture Objectives Learn abut Query Epansin Query epansin methds Relevance feedback in IR Rcchi s algrithm PRF

More information

Application of ILIUM to the estimation of the T eff [Fe/H] pair from BP/RP

Application of ILIUM to the estimation of the T eff [Fe/H] pair from BP/RP Applicatin f ILIUM t the estimatin f the T eff [Fe/H] pair frm BP/RP prepared by: apprved by: reference: issue: 1 revisin: 1 date: 2009-02-10 status: Issued Cryn A.L. Bailer-Jnes Max Planck Institute fr

More information

INCL Intra-Nuclear Cascade and ABLA De-Excitation Models in Geant4

INCL Intra-Nuclear Cascade and ABLA De-Excitation Models in Geant4 Progress in NUCLEAR SCIENCE and TECHNOLOGY, Vol., pp.7-79 (0) ARTICLE INCL Intra-Nuclear Cascade and ABLA De-Excitation Models in Geant Pekka KAITANIEMI,,, Alain BOUDARD, Sylvie LERAY, Joseph CUGNON and

More information

Hypothesis Tests for One Population Mean

Hypothesis Tests for One Population Mean Hypthesis Tests fr One Ppulatin Mean Chapter 9 Ala Abdelbaki Objective Objective: T estimate the value f ne ppulatin mean Inferential statistics using statistics in rder t estimate parameters We will be

More information

NWC SAF ENTERING A NEW PHASE

NWC SAF ENTERING A NEW PHASE NWC SAF ENTERING A NEW PHASE Pilar Fernández Agencia Estatal de Meterlgía (AEMET) Lenard Priet Castr, 8; 28040 Madrid, Spain Phne: +34 915 819 654, Fax: +34 915 819 767 E-mail: mafernandeza@aemet.es Abstract

More information

Particle Size Distributions from SANS Data Using the Maximum Entropy Method. By J. A. POTTON, G. J. DANIELL AND B. D. RAINFORD

Particle Size Distributions from SANS Data Using the Maximum Entropy Method. By J. A. POTTON, G. J. DANIELL AND B. D. RAINFORD 3 J. Appl. Cryst. (1988). 21,3-8 Particle Size Distributins frm SANS Data Using the Maximum Entrpy Methd By J. A. PTTN, G. J. DANIELL AND B. D. RAINFRD Physics Department, The University, Suthamptn S9

More information

SIZE BIAS IN LINE TRANSECT SAMPLING: A FIELD TEST. Mark C. Otto Statistics Research Division, Bureau of the Census Washington, D.C , U.S.A.

SIZE BIAS IN LINE TRANSECT SAMPLING: A FIELD TEST. Mark C. Otto Statistics Research Division, Bureau of the Census Washington, D.C , U.S.A. SIZE BIAS IN LINE TRANSECT SAMPLING: A FIELD TEST Mark C. Ott Statistics Research Divisin, Bureau f the Census Washingtn, D.C. 20233, U.S.A. and Kenneth H. Pllck Department f Statistics, Nrth Carlina State

More information

The steps of the engineering design process are to:

The steps of the engineering design process are to: The engineering design prcess is a series f steps that engineers fllw t cme up with a slutin t a prblem. Many times the slutin invlves designing a prduct (like a machine r cmputer cde) that meets certain

More information

TRAINING GUIDE. Overview of Lucity Spatial

TRAINING GUIDE. Overview of Lucity Spatial TRAINING GUIDE Overview f Lucity Spatial Overview f Lucity Spatial In this sessin, we ll cver the key cmpnents f Lucity Spatial. Table f Cntents Lucity Spatial... 2 Requirements... 2 Supprted Mdules...

More information

BLAST / HIDDEN MARKOV MODELS

BLAST / HIDDEN MARKOV MODELS CS262 (Winter 2015) Lecture 5 (January 20) Scribe: Kat Gregry BLAST / HIDDEN MARKOV MODELS BLAST CONTINUED HEURISTIC LOCAL ALIGNMENT Use Cmmnly used t search vast bilgical databases (n the rder f terabases/tetrabases)

More information

A New Approach to Increase Parallelism for Dependent Loops

A New Approach to Increase Parallelism for Dependent Loops A New Apprach t Increase Parallelism fr Dependent Lps Yeng-Sheng Chen, Department f Electrical Engineering, Natinal Taiwan University, Taipei 06, Taiwan, Tsang-Ming Jiang, Arctic Regin Supercmputing Center,

More information

FT- cal reconstruction: energy corrections

FT- cal reconstruction: energy corrections FT- cal recnstructin: energy crrectins Lucilla Lanza, Ph. D. student Advisr: prf. Annalisa D Angel University f Rme, Tr Vergata INFN 3 Octber 15 Outline Optimizatin the FT- Cal cluster recnstructin algrithm

More information

Therefore the atomic diameter is 5 orders of magnitude ( times) greater than the m

Therefore the atomic diameter is 5 orders of magnitude ( times) greater than the m Orders f Magnitude Pwers f 10 are referred t as rders f magnitude e.g. smething a thusand times larger (10 3 ) is three rders f magnitude bigger. A prtn has a diameter f the rder ~10-15 m The diameter

More information

A Quick Overview of the. Framework for K 12 Science Education

A Quick Overview of the. Framework for K 12 Science Education A Quick Overview f the NGSS EQuIP MODULE 1 Framewrk fr K 12 Science Educatin Mdule 1: A Quick Overview f the Framewrk fr K 12 Science Educatin This mdule prvides a brief backgrund n the Framewrk fr K-12

More information

Biology 479 Biology Portfolio Checklist Version F18 For Students Matriculating in AY

Biology 479 Biology Portfolio Checklist Version F18 For Students Matriculating in AY Bilgy 479 Bilgy Prtfli Checklist Versin F18 Fr Students Matriculating in AY 2018-19 Student s Name: Student s Ryal ID: Student s Academic Advisr: Intrductin While classrms prvide an essential site fr the

More information

Physical Nature of the Covalent Bond Appendix H + H > H 2 ( ) ( )

Physical Nature of the Covalent Bond Appendix H + H > H 2 ( ) ( ) Physical Nature f the Cvalent Bn Appeni his stuy f the nature f the H cvalent bn frms a mlecular rbital as a linear cmbinatin f scale hyrgenic rbitals, LCAO-MO. he quantum mechanical integrals necessary

More information

ON THE COMPUTATIONAL DESIGN METHODS FOR IMPROOVING THE GEAR TRANSMISSION PERFORMANCES

ON THE COMPUTATIONAL DESIGN METHODS FOR IMPROOVING THE GEAR TRANSMISSION PERFORMANCES ON THE COMPUTATIONAL DESIGN METHODS FOR IMPROOVING THE GEAR TRANSMISSION PERFORMANCES Flavia Chira 1, Mihai Banica 1, Dinu Sticvici 1 1 Assc.Prf., PhD. Eng., Nrth University f Baia Mare, e-mail: Flavia.Chira@ubm.r

More information

An Efficient Load Shedding Scheme from Customer s Perspective

An Efficient Load Shedding Scheme from Customer s Perspective Internatinal Jurnal f Advanced Research in Electrical, Electrnics and Instrumentatin Engineering (An ISO 3297: 2007 Certified Organizatin) Vl. 2, Issue 10, Octber 2013 An Efficient Lad Shedding Scheme

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law

Section 5.8 Notes Page Exponential Growth and Decay Models; Newton s Law Sectin 5.8 Ntes Page 1 5.8 Expnential Grwth and Decay Mdels; Newtn s Law There are many applicatins t expnential functins that we will fcus n in this sectin. First let s lk at the expnential mdel. Expnential

More information

UN Committee of Experts on Environmental Accounting New York, June Peter Cosier Wentworth Group of Concerned Scientists.

UN Committee of Experts on Environmental Accounting New York, June Peter Cosier Wentworth Group of Concerned Scientists. UN Cmmittee f Experts n Envirnmental Accunting New Yrk, June 2011 Peter Csier Wentwrth Grup f Cncerned Scientists Speaking Ntes Peter Csier: Directr f the Wentwrth Grup Cncerned Scientists based in Sydney,

More information

Proceedings of the Twelfth International Conference on Cyclotrons and their Applications, Berlin, Germany

Proceedings of the Twelfth International Conference on Cyclotrons and their Applications, Berlin, Germany PRODUCTON OF 7Be FROM A HEAVY ON CYCLOTRON: A NEW TOOL FOR WEAR STUDES* M. L. Mallry, R.M. Rnningen, Wm. C. McHarris & B. Sherrill Natinal Supercnducting Cycltrn Labratry, Michigan State University, East

More information

arxiv:hep-ph/ v1 2 Jun 1995

arxiv:hep-ph/ v1 2 Jun 1995 WIS-95//May-PH The rati F n /F p frm the analysis f data using a new scaling variable S. A. Gurvitz arxiv:hep-ph/95063v1 Jun 1995 Department f Particle Physics, Weizmann Institute f Science, Rehvt 76100,

More information

ALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change?

ALE 21. Gibbs Free Energy. At what temperature does the spontaneity of a reaction change? Name Chem 163 Sectin: Team Number: ALE 21. Gibbs Free Energy (Reference: 20.3 Silberberg 5 th editin) At what temperature des the spntaneity f a reactin change? The Mdel: The Definitin f Free Energy S

More information

EE247B/ME218: Introduction to MEMS Design Lecture 7m1: Lithography, Etching, & Doping CTN 2/6/18

EE247B/ME218: Introduction to MEMS Design Lecture 7m1: Lithography, Etching, & Doping CTN 2/6/18 EE247B/ME218 Intrductin t MEMS Design Lecture 7m1 Lithgraphy, Etching, & Dping Dping f Semicnductrs Semicnductr Dping Semicnductrs are nt intrinsically cnductive T make them cnductive, replace silicn atms

More information

Resumen de presentación

Resumen de presentación TÍTULO: Theretical study f the gemetrical, electrnic and catalytic prperties f metal clusters and nanparticles. AUTOR: Estefanía Fernández Villanueva, esfervi@dctr.upv.es PROGRAMA DE DOCTORADO: Química

More information

Pure adaptive search for finite global optimization*

Pure adaptive search for finite global optimization* Mathematical Prgramming 69 (1995) 443-448 Pure adaptive search fr finite glbal ptimizatin* Z.B. Zabinskya.*, G.R. Wd b, M.A. Steel c, W.P. Baritmpa c a Industrial Engineering Prgram, FU-20. University

More information

Purpose: Use this reference guide to effectively communicate the new process customers will use for creating a TWC ID. Mobile Manager Call History

Purpose: Use this reference guide to effectively communicate the new process customers will use for creating a TWC ID. Mobile Manager Call History Purpse: Use this reference guide t effectively cmmunicate the new prcess custmers will use fr creating a TWC ID. Overview Beginning n January 28, 2014 (Refer t yur Knwledge Management System fr specific

More information

CESAR Science Case The differential rotation of the Sun and its Chromosphere. Introduction. Material that is necessary during the laboratory

CESAR Science Case The differential rotation of the Sun and its Chromosphere. Introduction. Material that is necessary during the laboratory Teacher s guide CESAR Science Case The differential rtatin f the Sun and its Chrmsphere Material that is necessary during the labratry CESAR Astrnmical wrd list CESAR Bklet CESAR Frmula sheet CESAR Student

More information

1($ [ [ W FP : 7DUJHW [[ FP ,QKLELW ,QKLELW 6&$/(5 &2,1 &2,1 )$1,1 &2,1 5(* $'& )DVW $'&7RWDO &RQVWDQW )UDFWLRQ 'LVFULPLQDWRU &RLQFLGHQFH '/<

1($ [ [ W FP : 7DUJHW [[ FP ,QKLELW ,QKLELW 6&$/(5 &2,1 &2,1 )$1,1 &2,1 5(* $'& )DVW $'&7RWDO &RQVWDQW )UDFWLRQ 'LVFULPLQDWRU &RLQFLGHQFH '/< Measurements f Neutrn Spectra Prduced frm a Thick Tungsten Target Bmbarded with 1.1 and 2. GeV/c Prtns and + Mesns Shin-ichir Meig y, Hirshi Takada, Nbuhir Shigy, Kiminri Iga,Yusuke Iwamt, Hirhik Kitsuki,

More information

Lecture 23: Lattice Models of Materials; Modeling Polymer Solutions

Lecture 23: Lattice Models of Materials; Modeling Polymer Solutions Lecture 23: 12.05.05 Lattice Mdels f Materials; Mdeling Plymer Slutins Tday: LAST TIME...2 The Bltzmann Factr and Partitin Functin: systems at cnstant temperature...2 A better mdel: The Debye slid...3

More information