Everything you've always wanted to know about RPN but …

1 Everything you've ' always wanted to know about RPN but were afraid to pursue COMPREHENSIVE MANUAL FOR SCIENTIFIC CALCULATORS Everything yuu've always wanted to know about RPN but were afraid tC) pllrsue COMPREHENSIVE MANUAL FOR SCIENTIFIC CALCULATORS Published by [f1J~~[f@[(~~~~ BETTER BUSINESS PRODUCTS U 16611 Hawthorne Blvd., Lawndale, CA. 90260 All rights reserved No reproduction permitted without written consent by T. K. Enterprises Copyright 1976 TK Enterprises All contents contained herein are provided witholit representation or warranty of any kind. TI< Enterprises therefore assumes no responsibility and shall have no liability, consequential or other wise, of any kind arising from the use of formulas or keystroke procedures or any other part thereof.]]]

2 TAB LE OF CONTENTS INTRODUCTION- about The Book 1 about the Corvus 500 2 PART I-HOW TO USE YOUR CALCULATOR , 3 1 Usina Part I " 3 2 Ente~ing & Displaying Data 3 Display Formats 3 Entering Data 4 Entering Data In Business Mode 4 Enteriog Data In Scientific Notation 4 Clear'lngData.,.., .. 4 Display Control 4 Basic Display Control , 4 Rounding Options 5 [ ] Predefined Format 6 Automatic Conversions , 6 Error Indication 7 Extended Calculated Range 7 3 RPNBASICS , .. 8 Why RPN? , 8 RPN and YOUI' Calculator 9 RPN and Foul' Basic Arithmetic Operations 10 4 THE STACK , , 12 TheStackConcept.

3 12 CalculatorStack .. 12 Modified Push (01' Enter) , .. , 13 Push .. 14 ModifiedPop(orClear XlandPop .. 14 Rolling the Stack " 15 Exchange Registers " 16 5 MEMORY 17 Storing and Recalling Data , 17 Exchangewith .. 18 LimitationsonMemory.. 19 Clearing Memory '.. 19 LastX , 19 6 CHANGE SIGN 20 7 PI 20 8 METRIC TO ENGLISH CONVERSIONS , 21 The Metric System , 21 BasicUnitsoftheMetric .. 2'j Prefixes Ut il ized in the Metr ic System , .. 22 Conversions on the Calculator , , 22 Metric to English Conversions, . , , 22 [ ] MeHic to English Conversions of Temperature 23 ( ] Metric to English Conversions of Volume.))

4 23 [ ] Metric to English Conversion of Length , 23 [ ] Metric to English Conversions of Mass 24 English to Metric Conversions 24 [ ] English to Metric Conversion of Temperature 24 [ ) English to Metric Conversions of Volume , , 25 .. ( English to Metric Conversions of Length 25 I[ English to Metric Conversions of Mass 25 Sum of Arithmetic Progression .. 59 A Multi StepConversion 26 GeometricProgression.. 59 9 RECIPROCALS 27 Sum of Geometric Progression 60 10 FACTORIALS 27 Harmonic Progression " 60 11 PERCENTAGE CALCULATiONS 28 Fibonacci Serles ,.., " .61 Simple Perc~ntages 28 24 PROBABILITY AND STATISTICS ' 63 Percentag~ Difference.]]

5 28 Means . 63 Gross Profit Margin " 29 Geometric Mean . 63 12 SQUARE AND SQUARE ROOT 30 Harmonic Mean . 63 13 POWERS AND ROOTS 31 Permutations and Combinations . 64 14 LOGARITHMIC FUNCTIONS 32 Binomial Distribution , . 66 Logarithms '.. 32 Hypergeometric Distribution . 67 Logarithmic Functions on the Corvus 32 Poisson Distribution , , . 68 LogarithmstoanyBase .. 35 Normal Curve . 69 15 ANGULAR UNITS " 36 Chi Square Statistics .. 70 AngleModes .. 36 Least Squares Linear Regression . 71 DegreestoRadians .. 36 25 NUMERiCAL METHODS . 74 16 POLAR TO RECTANGULAR COORDINATE CONVERSIONS 38 Quadratic Equation . 74 Polar Coordinate Basics 38 Roots of Polynomials.

6 75 Conversion Operations , 38 Quadrature (Simpson's Rule) . 76 Rectangular to Spherical Conversions 39 26 COMPLEX NUMBERS , , . 78 17 TRIGONOMETRIC FUNCTIONS , , 40 Introduction . 78 Trigonometric Function Basics ., 40 Complex Addition and Subtraction . 79 Trigonometric Functions on the Corvus , 41 Complex Multiply , . 80 Inverse Trigonometric Functions on the Corvus , 42 Complex Divide , . 81 18 HYPERBOLIC POLAR TO RECTANGULAR COORDINATE Complex Reciprocal , . 82 CONVERSIONS , , , , 43 Complex Powers and Roots . 83 19 HYPERBOLIC FUNCTIONS 44 Complex Trigonometric Functions . 84 20 SUMMATION, MEAN, AND STANDARD DEVIATION 45 Complex Sine.

7 84 Entering Data for Statistical Operations 45 Complex Cosine , , , .. , . 84 MemoryManipulations and Restrictions .. 46 Complex Tangent . 85 Statistical Operations _. 46 27 VECTORS , , . 86 Recall Summation .. 46 Introduction ., . 86 20, MeanandStandardDeviation.. 46 Vector Addition. , . 87 Inner (or Dot) Prod uct . 88 PART II-APPLICATION PROBLEMS 48 Vector Cross Product . 8921 USING PART" ,.. , , , ,. 48 A Simple Boom , . 8922 FINANCIAL APPLICATIONS , , 49 PartI . 90 SimpleInterest , .. 49 PartII . 91 Compound Interest , 50 PartIII , . 92 Continuous Compounding , 51 Nominal Rate Converted to Effective Annual Rate " 52 28 ENGINEERING/SCIENTIFIC APPLICATIONS.

8 , , . 93 Add-on Rate Converted to True Annual Percentage Rate (APR) 52 Skin Diving Depth . 93 Annuity 53 Parallel Circuit . 94 LoanPayment .. 53 Impedance in a Series Current , 94 Remaining Balance , 54 Decibels .. , . 95 Depreciation-StraightLineMethod.. 54 Scaling Factor , , . 95 Depreciation-Diminishing Balance Method , 55 Straight-Line Motion-Constant Acceleration . 96 Depreciation-Sum of Years Digits Method , .. , , , .. 56 CHEMISTRY . 97 23 SERIES AND PROGRESSIONS , 57 Stoich iometry " . 97 Arithmetic Progressions , 57 General Gas Equation . 98 29 SPEEDOMETER ODOMETER CALCULATIONS . 99 APPENDIX A-CORVUS 500 CORVUS FUNCTION SUMMARY 101 APPENDIX B-USING THIS BOOK WITH OTHER CALCULATOr~S.

9 ,110 APPENDIX C-SOME USEFUL CONSTANTS AND FORMULAS ,111 English Units ,., .. 111 Miscellaneous Constants 11'\ Areas, Surfaces, and Volumes , , '111 Trigonometric Relations ,.,. 113 INDEX , 114 INTRODUCTiON about THE 600K The primary purpose of this book is to help you get the most out of your scientific calculator. In particular, we have oriented this book io ihe use of the CORVUS 500 because of the large number of functions it offers and because it makes use of Reverse Polish Notation (RPN). RPN is the most efficient means for expressing complex calculations -an entire section of this book is devoted to a discussion of this important technique.

10 This book Is divided into two main parts, The fi rst part describes the basic operation of the CORVUS 500. This description also applies to the APF Mark 55 and the OMRON 12SR calculators which are functionally identical to the CORVUS. Furthermore, the discussion of RPN is generally applicable and should provide the reader with a thorough understanding of RPN and an appreciation for its simplicity, The second part of this book presents a selection of application problems and their accompanying solution programs. These sample problems are organized by application area. These areas include financial, statistical and simple algebraic calculations.