Kennaraglósur Excel Flóknari aðgerðir: Solver


 Shavonne Terry
 6 years ago
 Views:
Transcription
1 Kennaraglósur Excel Flóknari aðgerðir: Solver 14 1 Excel Solver Excel Solver er viðbót (e. addin) við Excel sem hjálpar til að finna bestu lausn á viðfangsefnum eins og þegar um er að ræða takmarkaðar auðlindir, hámarka arðsemi eða lágmarka kostnað. Solver gerir okkur kleift að skilgreina hvaða atriði við ætlum að hámarka, lágmarka eða láta ná ákveðnu gildi. Við getum sett skilyrði (e. constraint) sem afmarka möguleikana. Það þarf að tilgreina sérstaklega ef ætlun er að nota Solver og fleiri viðbætur og er það gert með því að smella á Officehnappinn og velja Excel Options og velja síðan AddIns og þaðan að velja neðarlega í glugganum Manage: Excel Addins: Veldu síðan a.m.k. Solver Addin til að leysa þetta verkefni, en helst þarftu að hafa merkt við þá sömu reiti og hér eru sýndir vegna annarra verkefna síðar. Athugaðu að þegar þú hefur gert þetta einu sinni þá þarft þú ekki að gera þetta aftur á þessari uppsetningu á tölvunni þinni, valið helst inni. Solver er að finna á Databorðanum í Excel: 2 Kennsluefni/dæmi á ensku um solver Eftirfarandi kennsluefni er fengið frá Carlson School of Management, University of Minnesota. Vísað er til excelskjals sem er að finna á Námskjá og heitir það Solverdaemi.xlsx Þú þarft að nota það til að vinna með Jón Freyr Jóhannsson 1
2 Kennaraglósur 3 Using Solver In this example we will use these basic instructions to create solutions for different examples. (Use Electronics worksheet.) Follow the steps below to use Solver. 1. Create the worksheet for which you need a solution. 2. Select Tools, Solver. The Solver Parameters dialog box displays. 3. In the Target Cell: field, type (or select) the cell for which you want to find the optimal value. Hint: To collapse the dialog box, click, select the cells, then click again. 4. In the Equal To: field, select the desired option. This may be minimum, maximum, or a specific value. This is the goal you want Solver to achieve. 5. In the By Changing Cells: field, select (or type) the cells you want to change to achieve your goal. Hint: To select noncontiguous cells, press and hold Ctrl while clicking the desired cells. Note: You can click Guess. Solver will propose the appropriate changing cells based on your target cell. However, results may not be reliable. 6. To add constraints, click the Add button. (Adding constraints is optional). The Add Constraint dialog box displays. 7. In the Cell Reference: field, specify the desired constraint cell(s). 8. Select a comparative operator from the dropdown list in the middle of the dialog box. 2
3 9. In the Constraint: field, type a number or enter a cell to add your constraint. Note: If you select an Integer (int) constraint, the solution may take longer. The solution is rounded down. You cannot, for instance, create a partial television, so you might select Integer as a constraint. 10. If you want to add additional constraints, click Add and complete steps 79 for each constraint. 11. When finished adding constraints, click OK. You are returned to the Solver Parameters dialog box. The constraints display in alphabetical order. 12. Click Solve. Solver plugs trial values into your variable cells, recalculates the worksheets, and finds a solution to meet your objective and to satisfy your constraints. Your worksheet displays the results, and the Solver Results dialog box displays. 13. Select the desired option(s) and click OK. Options are described below. 3.1 Solver Result Options You have multiple options available from the Solver Results dialog box. Keep Solver Solution displays the results in the cells you specified. You cannot undo your solution. Restore Original Values restores the values that your variables held before activating Solver. (You can also click Cancel.) However, the solver parameters remain in the Solver Parameters dialog box if you save the file. Save Scenario allows you to save a scenario. Scenarios are covered in more detail in the Excel Advanced class. If you save a scenario, you are required to name it. This is a useful option when working with Solver. If you save as a scenario, click Cancel to return to the original values. You can view the saved scenario (or solution) by selecting Tools, Scenarios, selecting the desired scenario, and clicking Show Jón Freyr Jóhannsson 3
4 Kennaraglósur Reports can create a variety of reports. These will be covered in more detail later in this class. See page Naming Cells If you assign a name to a target cell, Solver uses that name in its reports. If you don t name the cell, Solver creates a name based upon the column and/or row headings. To name a cell or range of cells, select the cell(s) you want to name, then click in the Name box (left of the Formula bar), type the desired name, and press Enter. Names cannot contain spaces. To edit named cell ranges, select Insert, Name, Define, to view the Name Define dialog box. 4
5 4 Linear Models You can set Solver to assume a linear model option. This can be activated only for models in which all the relationships are linear; models that use simple addition and subtraction and worksheet functions such as SUM are linear in nature. This information is provided in the event your class assignment involves linear programming. If you select a linear option, you will have additional fields in your Sensitivity report. See page 10 for more information on reports. 1. Select Tools, Solver. The Solver Parameters dialog box displays. 2. Enter the appropriate cells and constraints. 3. Click Options. The Solver Options dialog box displays. 4. Select Assume Linear Model and click OK. Note: You can set other options here, if desired. Consult Help for more information. Default settings are usually sufficient for most problems Jón Freyr Jóhannsson 5
6 Kennaraglósur 5 Example CampMidwest Your company, CampMidwest, has inventory that includes items used to assemble camping kits. These kits consist of two types: standard or group. We will use Solver to determine the number of each kind of kit that can be assembled from existing inventory while maximizing profit. The constraints are that the numbers used to assemble cannot exceed the inventory, and we must have a minimum of 3 group kits. For this exercise use the following file: Solver Exercises.xls, worksheet CampMidwest. 1. Select Tools, Solver. The Solver Parameters dialog box displays In the Target Cell: field, enter E15. These are the total profits. Our goal is to maximize our total profits from the inventory available. 3. In the Equal To: field, select Maximum. 4. In the By Changing Cells: field, enter C4:D4. We want to determine how many kits we can assemble with the inventory available. 5. To add constraints, click the Add button. The Add Constraint dialog box displays.
7 6. In the Cell Reference: field, enter E6:E12 to specify the number of inventory items used. 7. Select <= in the middle of the dialog box. We want to indicate that the number of items used is less than or equal to the number of items available. 8. In the Constraint: field, select B6:B12, which is the amount of inventory available. 9. Click Add to add an additional constraint to indicate that we must have at least 3 group kits. 10. In the Cell Reference: field, enter D4>=3. This is to ensure that we have a minimum of 3 group kits assembled. 11. Click Add to add an integer constraint. We can t sell a partial camping kit. 12. Click OK. You are returned to the Solve Parameters dialog box. The constraints display in alphabetical order Jón Freyr Jóhannsson 7
8 Kennaraglósur 13. Click Solve. Your result should display as follows. 14. If your results are the same as those above, click OK. If not, make changes and click Solve again. 8
9 6 Modifying a Constraint After using Solver in a worksheet, Excel retains the settings in the Solver Parameters dialog box. Follow these steps if you need to modify these settings. 1. Select, Tools, Solver. The Solver Parameters dialog box displays. 2. In the Subject to the Constraints: area, select the constraint you want to modify, and click Change. The Change Constraint dialog box displays. 3. Modify as necessary, and click OK. (Using the CampMidwest worksheet, modify the constraint to >=6). Note: If you have created a report (see below) before modifying a constraint, the report will not reflect your recent change. You may want to create another report Jón Freyr Jóhannsson 9
10 Kennaraglósur 7 Creating Reports You can create three types of reports using Solver. Each provides information on how the solution was reached. Each report is created on a separate worksheet. Note: You can create a report at any time. However, if you want the original values to display in your Answer report, first enter the solver cells and constraints, click Solve, and create your report at that time. If you create a report after the solution has been displayed on your worksheet, the Answer report will only display the solved values in the original values field. The Answer report lists target cell results, the values of the cells that are changed, and the constraints. It also includes information about the value of each constraint. Status can be binding, not binding, or not satisfied. The slack value is the difference between the solution value of the constraint and the number that appears to the right of the constraint formula. A binding constraint has a slack value of 0. (Everything was used to solve the problem.) The Sensitivity report indicates how sensitive the model is to changes in the target cell formula and the changing cells. o The Adjustable Cells area displays a Reduced Gradient value. This indicates how a oneunit increase in the changing cell would affect the target cell. o The Constraints area displays a Lagrange Multiplier column, which indicates how the target cell would be affected by a oneunit increase in the corresponding constraint value. o If you selected Assume Linear Model, (page 5) the Sensitivity report includes several additional columns. The Reduced Cost column shows the increase in the target cell value per unit of change. The Objective Coefficient column shows the degree to which the changing cell and the target cell are related. The Allowable Increase and Decrease columns reflect the amount the Objective Coefficient must change before the changing cells are affected. In the constraints area, the Shadow Price column indicates the increase in the target value for each unit that the constraint increases. The Constraint RH displays the constraint values used in the problem. The allowable increase and Decree columns show the amount that the constraint value must change before the changing cells are affected. The Limits report indicates how much the values of the variable cells can be increased or decreased without breaking the constraints of your problem. The report lists the optimal value, as well as the lowest and highest values that can be used without violating the constraints. Note: Sensitivity Reports and Limits Reports and not relevant for problems with Integer constraints. 10
11 8 Example  Advertising You are planning an ad campaign for one of your new products. You want to reach the largest readership at the lowest possible cost. You will use six publications. Each publication reaches a different number of readers and charges a different rate per page. The following constraints will apply: The total budget for print advertising is $12,000,000. The total amount spent in Publications C and D should not exceed $7,500,000. You want to expose your ads to potential readers at least 800 million times. You plan to use each publication a minimum of six times. The total percent of the print advertising budget should be no more than 33.3% for any one publication. For this exercise use the following file: Solver Exercises.xls, worksheet Advertising Jón Freyr Jóhannsson 11
12 Kennaraglósur 1. Select Tools, Solver. The Solver Parameters dialog box displays. 2. In the Set Target Cell: field, enter E8 (TotalCost). 3. In the Equal To: field, select Min. Our goal is to get the most advertising for the smallest investment. 4. In the By Changing Cells: field, enter D2:D7. We want to change the number of ads placed in each publication. 5. In the Subject to Constraints: area, click Add. 12
13 6. Enter the constraints as displayed below. $D2:$D7 = integer (this means that it will round down to the next integer. You can t, for instance, have advertisements in a half a publication.) $D2:$D7 >= $G$15 (The number of ads must be a minimum of six per publication.) $F$2:$F$7 <=$G$14 (No more than onethird of the budget should be used for any one publication.) $E$9 <= $G$12. (The total spent on publications C and D should be no more than $7,500,000.) TotalCost <=$G$11 (The maximum advertising expenditure is $12,000,000.) TotalAudience >= $G$13 (You want to reach at least 800 million viewers.) 7. Click Solve. The Solver Results screen displays. 8. Click OK to display the solution. OR Select Restore Original Values. Note: To create a report, select the desired report type; then click OK. You can do this with or without keeping the solver solution. To save the solution as a scenario, click Save Scenario. You can do this with or without keeping the solver solution. To view a saved scenario, click Tools, Scenarios. Select the scenario you want to view and click Show Jón Freyr Jóhannsson 13
Advanced Excel. Table of Contents. Lesson 3 Solver
Advanced Excel Lesson 3 Solver Prereqs/Technical Skills Office for Engineers Module Basic computer use Expectations Read lesson material Implement steps in software while reading through lesson material
More informationAppendix A. Selected excerpts from behavior modeling session Examples of training screens
Appendix A Selected excerpts from behavior modeling session Examples of training screens Selected Excerpts from Behavior Modeling tape...now, given that we ve talked about how we can use Solver, let s
More information4) Þá ertu kominn inná routerinn og ætti valmyndin að líta út eins og sýnt er hér til hægri. 5) Því næst er smellt á Wizard setup
Hægt er að tengjast við Zyxel 660W beininn bæði þráðlaust eða með netkapli í netkort tölvunnar. Stilla þarf tölvuna þannig að hún sæki sjálfkrafa IP tölu (Optain an IP Address Automatically). Mismunandi
More informationSykursýkisdagbók ÚTGEFANDI: LANDSPÍTALI JANÚAR 2014 (BYGGT Á DIABETES HEALTH RECORD FRÁ THE DIABETES COALTILATION OF CALIFORNIA.)
Sykursýkisdagbók ÚTGEFANDI: LANDSPÍTALI JANÚAR 2014 (BYGGT Á DIABETES HEALTH RECORD FRÁ THE DIABETES COALTILATION OF CALIFORNIA.) www.landspitali.is Nafn Læknir Hjúkrunarfræðingur Símanúmer Ræddu eftirfarandi
More informationUppsetning á Opus SMS Service
Uppsetning á Opus SMS Service Undirbúningur Þetta þarf að vera til staðar: Opus SMS Service á að vera sett upp móðurtölvunni sem hýsir gagnagrunninn. Notandinn sem er innskráður á tölvunni þarf að vera
More informationUNIT TWO: Data for Simple Calculations. Enter and format a title Modify font style and size Enter column headings Move data Edit data
UNIT TWO: Data for Simple Calculations T o p i c s : Enter and format a title Modify font style and size Enter column headings Move data Edit data I. Entering and Formatting Titles: The information used
More informationZiggy MacDonald University of Leicester
1 > 6 07.03.2006 21:38 Volume 9, Issue 3, 1995 Teaching Linear Programming using Microsoft Excel Solver Ziggy MacDonald University of Leicester Linear programming (LP) is one of the most widely applied
More informationRonald Postma: Kitchen appliance to grow mushrooms was the project. Plugin Neon for Rhino and downloaded Bongo.
Week 3: Computer Controlled Cutting 11.2. 2015 This week we will learn about the mechanical application of computer aided design. The assignment for this week is to design, make, and document a press
More informationExcel 2003: Discos. 1. Open Excel. 2. Create Choose a new worksheet and save the file to your area calling it: Disco.xls
Excel 2003: Discos 1. Open Excel 2. Create Choose a new worksheet and save the file to your area calling it: Disco.xls 3. Enter the following data into your spreadsheet: 4. Make the headings bold. Centre
More informationTölvupóstuppsetning á GSM síma
Tölvupóstuppsetning á GSM síma Samsung D500 Undirbúningur... 2 Uppsetningin... 3 Að athuga með nýjan póst... 5 Að skipta um pósthólf í notkun... 5 Um aðrar Internetveitur.... 6 Hvert get ég leitað eftir
More informationGagnasafnsfræði. Páll Melsted 16. sept
Gagnasafnsfræði Páll Melsted 16. sept Endurtekin gildi Ef við viljum losna við endurtekin gildi er hægt að nota DISTINCT SELECT DISTINCT name FROM MovieExec, Movie, StarsIn WHERE cert = producerc AND title
More informationHvernig getum við uppfyllt þarfir kaupenda á netinu?
Hvernig getum við uppfyllt þarfir kaupenda á netinu? 8 janúar 2015 Áður en kaupferlið hefst Í kaupferlinu Eftir að kaupferlinu lýkur Í kaupferlinu Áður en kaupferlið hefst Vörulýsing og myndir Neytendur
More informationRefWorks  leiðbeiningar
RefWorks  leiðbeiningar www.refworks.com Munið ONLINE HELP Helstu kostir RefWorks: Unnið í forritinu yfir Internetið hvaðan sem er og gögnin geymast á netinu. Hægt að hlaða niður tilvísunum beint og óbeint
More informationInngangur. Web ADI skjöl. Október, 2018 [WEB ADI  NOTENDALEIÐBEININGAR]
Inngangur Nokkrar stofnanir nota Web ADI (Web Oracle Applications Desktop Integrator) til að skrá fylgiskjöl í Excel og flytja síðan færslurnar í fjárhag Orra (GL). Með útgáfu 12.2.7 af Orra breytist virknin
More informationTry what you learned (and some new things too)
Training Try what you learned (and some new things too) PART ONE: DO SOME MATH Exercise 1: Type some simple formulas to add, subtract, multiply, and divide. 1. Click in cell A1. First you ll add two numbers.
More informationTölvupóstuppsetning á GSM síma
Tölvupóstuppsetning á GSM síma Motorola Triplets, E398, V3, V80, V220, V300 og V600 Undirbúningur...2 Uppsetningin...3 Að athuga með nýjan póst...4 Að sækja póst þegar GPRS reiki er ekki í boði...4 Um
More informationHugbúnaður kemur ekki í stað fólks! Camilla Ósk Hákonardóttir
Hugbúnaður kemur ekki í stað fólks! Camilla Ósk Hákonardóttir 1 Hvað er stjórnun viðskiptatengsla (CRM)? Stjórnun viðskiptatengsla er hugmyndafræði Stjórnun viðskiptatengsla er stefna Stjórnun viðskiptatengsla
More informationUNIT 1: ICT SKILLS FOR BUSINESS
HN OSBORN EXEMPLAR UNIT 1: SKILLS FOR BUSINESS TASK 5: Design, create and use a business spreadsheet ASSESSMENT CHECK LIST TASK PASS: Create a simple business Spreadsheet and at least two calculations.
More informationFA EIGNAKERFIÐ. Notendahandbók. vegna biðskrá
FA EIGNAKERFIÐ Notendahandbók vegna biðskrá Útgáfa 1.0 Efnisyfirlit 1.1. Inngangur... 3 2. Skráning eigna sem koma frá öðrum kerfishlutum... 4 2.1. Að skilgreina eign í biðskrá og bóka í eignakerfi...
More informationExcel Lab 2: Plots of Data Sets
Excel Lab 2: Plots of Data Sets Excel makes it very easy for the scientist to visualize a data set. In this assignment, we learn how to produce various plots of data sets. Open a new Excel workbook, and
More informationLes s on Objectives. Student Files Us ed. Student Files Crea ted
Lesson 15  Advanced Cell Properties 191 Lesson 15 Adva nced C ell P roperties Les s on Topics Absolute Cell References Percentages Exercise: Calculating Percentages Exercise: Calculating Commissions Les
More informationBUILDING A SIMPLEX TABLEAU AND PROPER PIVOT SELECTION
SECTION 4.1: BUILDING A SIMPLEX TABLEAU AND PROPER PIVOT SELECTION Maximize : 15x + 25y + 18 z s. t. 2x+ 3y+ 4z 60 4x+ 4y+ 2z 100 8x+ 5y 80 x 0, y 0, z 0 a) Build Equations out of each of the constraints
More informationWorking with Formulas and Functions
Working with Formulas and Functions Objectives Create a complex formula Insert a function Type a function Copy and move cell entries Understand relative and absolute cell references Objectives Copy formulas
More informationNCSS Statistical Software
Chapter 147 Introduction A mosaic plot is a graphical display of the cell frequencies of a contingency table in which the area of boxes of the plot are proportional to the cell frequencies of the contingency
More informationUSER GUIDE to COGNOS POWERPLAY
USER GUIDE to COGNOS POWERPLAY Cognos PowerPlay lets you view and work with cube data in a Web browser. With Cognos PowerPlay you can  explore information, either one dimension at a time or using multiple
More informationMicrosoft Excel Lab Two (Completed 03/02/18) Transcript by Rev.com. Page 1 of 6
[00:00:31] Speaker 1: Hello everyone and welcome to excel lab two. To get started with this lab you will need two files. You will need excel lab two instructions file also, you will need excel lab two
More informationExcel Module 2: Working with Formulas and Functions
1. An Excel complex formula uses more than one arithmetic operator. a. True b. False True QUESTION TYPE: True / False LEARNING OBJECTIVES: ENHE.REDI.16.018  Create a complex formula by pointing 2. According
More informationWhat are the chances?
What are the chances? Student Worksheet 7 8 9 10 11 12 TINspire Investigation Student 90 min Introduction In probability, we often look at likelihood of events that are influenced by chance. Consider
More informationExample: Your Name (instead of contestant number) / Job 1
BPA PROJECT Advanced Spreadsheet Applications ASA Description: Finished Product: This project is based on the Advanced Spreadsheet Applications event; it consists of creating a spreadsheet with multiple
More informationUppsetning á biðlarahugbúnaði (ALEPH GUI client): útg í Windows 7, 8 og 10.
Uppsetning á biðlarahugbúnaði (ALEPH GUI client): útg. 22.1.7 í Windows 7, 8 og 10. Landskerfi bókasafna  Dögg Hringsdóttir síðast breytt mars 2017 ÁRÍÐANDI: Innskráður Windows notandi við uppsetningu
More informationRefWorks  leiðbeiningar
RefWorks  leiðbeiningar www.refworks.com Munið ONLINE HELP Helstu kostir RefWorks: Unnið í forritinu yfir Internetið hvaðan sem er og gögnin geymast á netinu Hægt að hlaða niður tilvísunum beint og óbeint
More informationChapter 2. The Excel functions, Excel Analysis ToolPak Addins or Excel PHStat2 Addins needed to create frequency distributions are:
I. Organizing Data in Tables II. Describing Data by Graphs Chapter 2 I. Tables: 1. Frequency Distribution (Nominal or Ordinal) 2. Grouped Frequency Distribution (Interval or Ratio data) 3. Joint Frequency
More informationZotero sett upp á Windows stýrikerfi
Zotero sett upp á Windows stýrikerfi Athugaðu að þú þarft að vera í Firefox til að geta notað Zotero. Zotero hjálparforritið samanstendur eiginlega af tvem forritsbútum. Annar keyrir í vafranum þínum og
More informationSudoku Mock Test 5. Instruction Booklet. 28 th December, IST (GMT ) 975 points + Time Bonus. Organized by. Logic Masters: India
Sudoku Mock Test 5 Instruction Booklet 28 th December, 2008 14.30 16.30 IST (GMT + 5.30) 975 points + Time Bonus Organized by Logic Masters: India Points Distribution No. Sudoku Points Puzzle Creator 1
More informationSpreadsheets 2: Calculate!
Spreadsheets 2: Calculate! Name: Main: Spreadsheets are convenient for organizing text information in charts and rows. However, they can also act like a calculator to perform all sorts of mathematical
More informationExcel Tool: Plots of Data Sets
Excel Tool: Plots of Data Sets Excel makes it very easy for the scientist to visualize a data set. In this assignment, we learn how to produce various plots of data sets. Open a new Excel workbook, and
More informationMicrosoft Excel Illustrated Unit B: Working with Formulas and Functions
Microsoft Excel 2010 Illustrated Unit B: Working with Formulas and Functions Objectives Create a complex formula Insert a function Type a function Copy and move cell entries Understand relative and absolute
More informationnvision Actuals Drilldown (NonProject Speedtypes) Training Guide Spectrum+ System 8.9 November 2010 Version 2.1
nvision Actuals Drilldown (NonProject Speedtypes) Training Guide Spectrum+ System 8.9 November 2010 Version 2.1 Table of Contents Introduction. Page 03 Logging into Spectrum.Page 03 Accessing the NVision
More informationMálsýni. Aðferð til að meta málþroska barna. Jóhanna Einarsdóttir, Ester Sighvatsdóttir og Álfhildur Þorsteinsdóttir
Málsýni Aðferð til að Jóhanna Einarsdóttir, Ester Sighvatsdóttir og Álfhildur Þorsteinsdóttir Málsýni hvað er það?? Málsýni þýðing á enska orðinu language sample Dæmi um málsýni Notað í rannsóknum um máltöku
More informationThe prime factorization of 150 is 5 x 3 x 2 x 5. This can be written in any order.
Outcome 1 Number Sense Worksheet CO1A Students will demonstrate understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple, square root and
More informationRevit Structure 2012 Basics:
SUPPLEMENTAL FILES ON CD Revit Structure 2012 Basics: Framing and Documentation Elise Moss autodesk authorized publisher SDC PUBLICATIONS www.sdcpublications.com Schroff Development Corporation Structural
More informationEXERCISE 1: CREATE LINE SPARKLINES
EXERCISE 1: CREATE LINE SPARKLINES In this exercise you ll create line sparklines. Then you ll convert the line type to the column type. Part 1: Create the sparklines Before you start, notice that the
More informationHow to Make a Run Chart in Excel
How to Make a Run Chart in Excel While there are some statistical programs that you can use to make a run chart, it is simple to make in Excel, using Excel s builtin chart functions. The following are
More informationMicrosoft Excel Math Formula Guide
Microsoft Excel is a spreadsheet software that is used to organize and calculate data. This handout will focus on how to use builtin Excel functions to solve basic mathematical calculations. Basics of
More informationUsing Excel Solver In Optimization Problems
USING EXCEL SOLVER IN OPTIMIZATION PROBLEMS PDF  Are you looking for using excel solver in optimization problems Books? Now, you will be happy that at this time using excel solver in optimization problems
More informationRevit Structure 2013 Basics
Revit Structure 2013 Basics Framing and Documentation Elise Moss Supplemental Files SDC P U B L I C AT I O N S Schroff Development Corporation Better Textbooks. Lower Prices. www.sdcpublications.com Tutorial
More informationMath 259 Winter Recitation Handout 9: Lagrange Multipliers
Math 259 Winter 2009 Recitation Handout 9: Lagrange Multipliers The method of Lagrange Multipliers is an excellent technique for finding the global maximum and global minimum values of a function f(x,
More informationOFBELDI (HUGTAKALEIKUR)
OFBELDI (HUGTAKALEIKUR) Aldur nemenda: 10 ára og upp úr Viðfangsefni: ofbeldi, einelti, samskipti Færnimarkmið: Hugtakaleikir ná að þjálfa flesta færniþætti samræðunnar Viðhorfamarkmið: Hugtakaleikir ná
More informationImagesPlus Basic Interface Operation
ImagesPlus Basic Interface Operation The basic interface operation menu options are located on the File, View, Open Images, Open Operators, and Help main menus. File Menu New The New command creates a
More informationAssignment 5 due Monday, May 7
due Monday, May 7 Simulations and the Law of Large Numbers Overview In both parts of the assignment, you will be calculating a theoretical probability for a certain procedure. In other words, this uses
More informationLinear Regression Exercise
Linear Regression Exercise A document on using the Linear Regression Formula by Miguel David Margarita Hechanova Andrew Jason Lim Mark Stephen Ong Richard Ong Aileen Tan December 4, 2007 Table of Contents
More informationThe lump sum amount that a series of future payments is worth now; used to calculate loan payments; also known as present value function Module 3
Microsoft Excel Formulas Made Easy Key Terms Term Definition Introduced In Absolute reference A cell reference that is fixed to a specific cell and contains a constant value throughout the spreadsheet
More informationClass 8 Cubes and Cube Root
ID : in8cubesandcuberoot [1] Class 8 Cubes and Cube Root For more such worksheets visit www.edugain.com Answer the questions (1) Find the value of A if (2) If you subtract a number x from 15 times
More informationNumerical Roots and Radicals
Numerical Roots and Radicals Table of Contents Squares, Square Roots & Perfect Squares Square Roots of Numbers Greater than 400 Estimating Square Roots click on topic to go to that section 1 Squares, Square
More informationIntroduction to Parametric Modeling AEROPLANE. Design & Communication Graphics 1
AEROPLANE Design & Communication Graphics 1 Object Analysis sheet Design & Communication Graphics 2 Aeroplane Assembly The part files for this assembly are saved in the folder titled Aeroplane. Open an
More informationQuestion: How can I change the price of whole groups of inventory simultaneously?
Question: How can I change the price of whole groups of inventory simultaneously? Answer: Group repricing can be done very easily in Dazzle. For this example let s suppose we want to reduce the price
More information2009 Jón Freyr Jóhannsson 1
2009 Jón Freyr Jóhannsson 1 E2  Excel fyrir lengra komna Námskeiðsefni Þetta er hluti heftis  frumdrög23. ágúst 2009 kaflar bætast við síðar 2009, Jón Freyr Jóhannsson ISBN 9789979981190 Rit þetta
More informationExcel 2013 Unit A: Getting Started With Excel 2013
Excel 2013 Unit A: Getting Started With Excel 2013 MULTIPLE CHOICE 1. An electronic is an application you use to perform numeric calculations and to analyze and present numeric data. a. database c. dataform
More informationStepbyStepInstructionson
2 nd Edition CreatingReportsin MANAGEMENTREPORTER I StepbyStepInstructionson MoreReports byjanlenoirharigancpa Table of Contents Table of Contents... 2 Getting Started... 6 First Things First... 6 Using
More informationMATH CIRCLE, 10/13/2018
MATH CIRCLE, 10/13/2018 LARGE SOLUTIONS 1. Write out row 8 of Pascal s triangle. Solution. 1 8 28 56 70 56 28 8 1. 2. Write out all the different ways you can choose three letters from the set {a, b, c,
More informationAdding Fractions with Different Denominators. Subtracting Fractions with Different Denominators
Adding Fractions with Different Denominators How to Add Fractions with different denominators: Find the Least Common Denominator (LCD) of the fractions Rename the fractions to have the LCD Add the numerators
More informationCorrelation and Regression
Correlation and Regression Shepard and Feng (1972) presented participants with an unfolded cube and asked them to mentally refold the cube with the shaded square on the bottom to determine if the two arrows
More informationCALCULATING SQUARE ROOTS BY HAND By James D. Nickel
By James D. Nickel Before the invention of electronic calculators, students followed two algorithms to approximate the square root of any given number. First, we are going to investigate the ancient Babylonian
More informationTerm Definition Introduced in: Tab(s) along the ribbon that show additional programs or features (e.g. Acrobat )
60 Minutes of Excel Secrets Key Terms Term Definition Introduced in: Tab(s) along the ribbon that show additional programs or features (e.g. Acrobat ) AddIns AutoCorrect Module 1 Corrects typographical,
More informationEnvironmental Stochasticity: Roc Flu Macro
POPULATION MODELS Environmental Stochasticity: Roc Flu Macro Terri Donovan recorded: January, 2010 All right  let's take a look at how you would use a spreadsheet to go ahead and do many, many, many simulations
More informationrepeated multiplication of a number, for example, 3 5. square roots and cube roots of numbers
NUMBER 456789012 Numbers form many interesting patterns. You already know about odd and even numbers. Pascal s triangle is a number pattern that looks like a triangle and contains number patterns. Fibonacci
More informationBenchmark Excel 2010 Level 1, Chapter 4 Rubrics
Benchmark Excel 2010 Level 1, Chapter Rubrics Note that the following are suggested rubrics. Instructors should feel free to customize the rubric to suit their grading standards and/or to adjust the point
More informationPhotoshop CS2. Step by Step Instructions Using Layers. Adobe. About Layers:
About Layers: Layers allow you to work on one element of an image without disturbing the others. Think of layers as sheets of acetate stacked one on top of the other. You can see through transparent areas
More informationTarget Board Planet Maths Teacher Resources 1st Class
Target Board 1 The teacher points to each number/digit and the children identify it. How many numbers are on the first line, second line? How many numbers are in column 1, 2, 3, 4? Add all the numbers
More informationCalculations From Your Title Opinion to Your Computer
Calculations From Your Title Opinion to Your Computer An Explanation on how to take the information provided in the Title Opinion and put it into an Excel Spreadsheet Form By: Luanne Johnson Anadarko Petroleum
More informationApplying mathematics to digital image processing using a spreadsheet
Jeff Waldock Applying mathematics to digital image processing using a spreadsheet Jeff Waldock Department of Engineering and Mathematics Sheffield Hallam University j.waldock@shu.ac.uk Introduction When
More informationLab 15: EXL3 Microsoft Excel s AutoFill Tool, Multiple Worksheets, Charts and Conditional Formatting
Lab 15: EXL3 Microsoft Excel s AutoFill Tool, Multiple Worksheets, Charts and Conditional Formatting Learn how to work with multiple worksheets, use the AutoFill tool, charts, and apply conditional formatting
More informationNotandaleiðbeiningar Rental Inspection for Annata Dynamics RENT on Windows 8.1
Notandaleiðbeiningar Rental Inspection for Annata Dynamics RENT on Windows 8.1 Halldór Vilhjálmsson Sindri Már Sigfússon Sverrir Snævar Jónsson Efnisyfirlit Notandaleiðbeiningar... 0 Rental Inspection
More informationSheet Metal Punch ifeatures
Lesson 5 Sheet Metal Punch ifeatures Overview This lesson describes punch ifeatures and their use in sheet metal parts. You use punch ifeatures to simplify the creation of common and specialty cut and
More informationCHM 109 Excel Refresher Exercise adapted from Dr. C. Bender s exercise
CHM 109 Excel Refresher Exercise adapted from Dr. C. Bender s exercise (1 point) (Also see appendix II: Summary for making spreadsheets and graphs with Excel.) You will use spreadsheets to analyze data
More informationSkráning lýsigagna  Landupplýsingagáttin  Leiðbeiningar
Skráning lýsigagna  Landupplýsingagáttin  Leiðbeiningar V201111072 Anna Guðrún Ahlbrecht Saulius Prizginas Landmælingar Íslands Akranesi 22.08.2014 Efnisyfirlit Inngangur...3 Lýsigögn skráð í Landupplýsingagátt
More informationLESSON 2: THE INCLUSIONEXCLUSION PRINCIPLE
LESSON 2: THE INCLUSIONEXCLUSION PRINCIPLE The inclusionexclusion principle (also known as the sieve principle) is an extended version of the rule of the sum. It states that, for two (finite) sets, A
More informationReynsla hugbúnaðardeildar Símans við notkun Scrum og Kanban
Reynsla hugbúnaðardeildar Símans við notkun Scrum og Kanban 8. febrúar 2013 Eiríkur Gestsson Um mig Eiríkur Gestsson Tölvunarfræðingur frá Háskólanum í Reykjavík 2004 Hugur hf. og HugurAx frá 2004 til
More informationKenken For Teachers. Tom Davis January 8, Abstract
Kenken For Teachers Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles January 8, 00 Abstract Kenken is a puzzle whose solution requires a combination of logic and simple arithmetic
More informationMATHEMATICAL FUNCTIONS AND GRAPHS
1 MATHEMATICAL FUNCTIONS AND GRAPHS Objectives Learn how to enter formulae and create and edit graphs. Familiarize yourself with three classes of functions: linear, exponential, and power. Explore effects
More informationChapter 10 Error Detection and Correction 10.1
Data communication and networking fourth Edition by Behrouz A. Forouzan Chapter 10 Error Detection and Correction 10.1 Note Data can be corrupted during transmission. Some applications require that errors
More informationGoals: To study constrained optimization; that is, the maximizing or minimizing of a function subject to a constraint (or side condition).
Unit #23 : Lagrange Multipliers Goals: To study constrained optimization; that is, the maximizing or minimizing of a function subject to a constraint (or side condition). Constrained Optimization  Examples
More informationPUZZLE EFFECTS 2D Photoshop actions For Photoshop CC, CS6, CS5, CS4
PUZZLE EFFECTS 2D Photoshop actions For Photoshop CC, CS6, CS5, CS4 User Guide CONTENTS 1. THE BASICS... 1 1.1. About the actions... 1 1.2. How the actions are organized... 1 1.3. The Classic effects (examples)...
More informationScriptPro Menu Script Overview
ScriptPro Menu Script Overview Introduction This document contains an overview of the Worldspan Menu Script available to users on Worldspan Go! Res. File name The file name is Z4MENU.CSL. Need Help? Click
More informationELC 4383 RF/Microwave Circuits I Laboratory 4: QuarterWave Impedance Matching Network
1 ELC 4383 RF/Microwave Circuits I Laboratory 4: QuarterWave Impedance Matching Network Note: This lab procedure has been adapted from a procedure written by Dr. Larry Dunleavy and Dr. Tom Weller at the
More informationAPPENDIX C Guide to the Sensitivity Toolkit
APPENDIX C Guide to the Sensitivity Toolkit C.1 INTRODUCTION The Sensitivity Toolkit is an Excel add  in for sensitivity analysis, which involves varying one or more inputs and determining the effect
More informationSkráning lýsigagna samkvæmt kröfum INSPIRE  Leiðbeiningar 
Skráning lýsigagna samkvæmt kröfum INSPIRE  Leiðbeiningar  V201111072 Anna Guðrún Ahlbrecht Saulius Prizginas Landmælingar Íslands Akranesi 29.01.2013 Efnisyfirlit Inngangur...3 Lýsigögn skráð frá grunni
More informationWorkspace. Workspace
Workspace Workspace AKVIS SmartMask is a plugin to a photo editor. To call AKVIS SmartMask plugin, select the command Filter > AKVIS > SmartMask in Adobe Photoshop ; in Corel (Jasc) Paint Shop Pro it
More informationEnhancement of Multispectral Images and Vegetation Indices
Enhancement of Multispectral Images and Vegetation Indices ERDAS Imagine 2016 Description: We will use ERDAS Imagine with multispectral images to learn how an image can be enhanced for better interpretation.
More informationVolume of Revolution Investigation
Student Investigation S2 Volume of Revolution Investigation Student Worksheet Name: Setting up your Page In order to take full advantage of Autograph s unique 3D world, we first need to set up our page
More informationMS Word Training Formatting Pictures
Introduction MS Word Training Formatting Pictures There are many ways to format pictures in Word. For instance, you can change the size or shape of an image to better suit your document. You can also enhance
More informationChapter 2 Descriptive Statistics: Tabular and Graphical Methods
Chapter Descriptive Statistics http://nsccwebctdev.northweststate.edu/script/sta_sp/scripts/student/serve_page... Page of 7 /7/9 Chapter Descriptive Statistics: Tabular and Graphical Methods Data can
More informationModular arithmetic Math 2320
Modular arithmetic Math 220 Fix an integer m 2, called the modulus. For any other integer a, we can use the division algorithm to write a = qm + r. The reduction of a modulo m is the remainder r resulting
More informationFoundations of Probability Worksheet Pascal
Foundations of Probability Worksheet Pascal The basis of probability theory can be traced back to a small set of major events that set the stage for the development of the field as a branch of mathematics.
More informationChapter 4. Linear Programming. Chapter Outline. Chapter Summary
Chapter 4 Linear Programming Chapter Outline Introduction Section 4.1 Mixture Problems: Combining Resources to Maximize Profit Section 4.2 Finding the Optimal Production Policy Section 4.3 Why the Corner
More informationUse sparklines to show data trends
Use sparklines to show data trends New in Microsoft Excel 2010, a sparkline is a tiny chart in a worksheet cell that provides a visual representation of data. Use sparklines to show trends in a series
More informationEntering Checkpoint Data
Entering Checkpoint Data How do I change which Checkpoint Period I m viewing? To change the period from one to another, here are the steps: On the right side of the screen, click the grey dropdown "Change
More information2. Picture Window Tutorial
2. Picture Window Tutorial Copyright (c) Ken Deitcher, 1999 Original image Final image To get you started using Picture Window we present two short tutorials. Basic Image Editing This tutorial covers basic
More informationHeimildir og tilvísanir. Rétt notkun tilvísana og uppsetning heimildaskrár
Heimildir og tilvísanir Rétt notkun tilvísana og uppsetning heimildaskrár Notkun heimilda Það þarf alltaf að vísa í heimildir þegar fjallað er um efni sem þið hafið lesið um annars staðar og notið hugmyndir
More information1.1 Displaying Distributions with Graphs, Continued
1.1 Displaying Distributions with Graphs, Continued Ulrich Hoensch Thursday, January 10, 2013 Histograms Constructing a frequency table involves breaking the range of values of a quantitative variable
More information