HP 33S - Page 253

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Mathematics Programs

15–33

File name 33s-E-Manual-1008-Publication(1st).doc Page : 386

Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm

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Default Chapter3
- Table of Contents3
Part 1. Basic Operation15
1 Getting Started17
- Important Preliminaries17
  - Turning the Calculator on and off17
  - Adjusting Display Contrast17
- Highlights of the Keyboard and Display18
- Keying in Numbers30
- Doing Arithmetic32
  - One-Number Functions33
  - Two-Number Functions33
- Controlling the Display Format34
- Fractions37
  - Entering Fractions37
  - Displaying Fractions38
- Messages39
- Calculator Memory39
  - Checking Available Memory40
  - Clearing All of Memory40
2 RPN: the Automatic Memory Stack41
- What the Stack Is41
- Arithmetic - How the Stack Does It44
  - How ENTER Works45
  - How CLEAR X Works46
- The LAST X Register47
  - Correcting Mistakes with LAST X48
  - Reusing Numbers with LAST X49
- Chain Calculations in RPN Mode50
3 Storing Data into Variables57
- Storing and Recalling Numbers58
- Viewing a Variable Without Recalling It59
- Reviewing Variables in the VAR Catalog59
- Clearing Variables60
- Arithmetic with Stored Variables60
  - Storage Arithmetic60
  - Recall Arithmetic61
- Exchanging X with any Variable62
- The Variable "I63
4 Real-Number Functions65
- Exponential and Logarithmic Functions65
- Quotient and Remainder Division66
- Power Functions66
- Trigonometry67
- Hyperbolic Functions70
- Percentage Functions70
- Physics Constants72
- Conversion Functions73
- Probability Functions78
- Parts of Numbers80
- Names of Functions81
5 Fractions83
- Entering Fractions83
- Fractions in the Display84
- Changing the Fraction Display87
- Rounding Fractions90
- Fractions in Equations91
- Fractions in Programs91
6 Entering and Evaluating Equations93
- How You Can Use Equations93
- Summary of Equation Operations95
- Entering Equations into the Equation List96
- Displaying and Selecting Equations98
- Editing and Clearing Equations99
- Types of Equations101
- Evaluating Equations101
- The Syntax of Equations105
- Verifying Equations110
7 Solving Equations111
- Solving an Equation111
- Understanding and Controlling SOLVE115
- For more Information121
8 Integrating Equations123
- Integrating Equations ( ∫ FN)123
- Integrating Equations ( ∫ FN)124
- Accuracy of Integration127
  - Specifying Accuracy128
  - Interpreting Accuracy128
- For more Information130
9 Operations with Complex Numbers131
- The Complex Stack131
- Complex Operations132
- Using Complex Numbers in Polar Notation135
10 Base Conversions and Arithmetic137
- Arithmetic in Bases 2, 8, and 16138
- The Representation of Numbers140
11 Statistical Operations143
- Entering Statistical Data143
- Statistical Calculations146
- Limitations on Precision of Data152
- Summation Values and the Statistics Registers153
Part 2. Programming155
12 Simple Programming157
- Designing a Program159
- Entering a Program161
  - Keys that Clear162
  - Function Names in Programs162
- Running a Program165
  - Executing a Program (XEQ)165
  - Testing a Program165
- Entering and Displaying Data167
- Stopping or Interrupting a Program173
- Editing a Program174
- Program Memory175
- Nonprogrammable Functions178
- Programming with BASE178
  - Selecting a Base Mode in a Program179
  - Numbers Entered in Program Lines179
- Polynomial Expressions and Horner's Method180
13 Programming Techniques183
- Routines in Programs183
  - Calling Subroutines (XEQ, RTN)184
  - Nested Subroutines185
- Branching (GTO)186
  - A Programmed GTO Instruction187
  - Using GTO from the Keyboard187
- Conditional Instructions188
  - Tests of Comparison (X?Y, X?0)189
  - Flags190
- Loops198
  - Conditional Loops (GTO)199
  - Loops with Counters (DSE, ISG)200
- Indirectly Addressing Variables and Labels203
14 Solving and Integrating Programs209
- Solving a Program209
- Using SOLVE in Program213
- Integrating a Program215
- Using Integration in a Program218
- Restrictions on Solving and Integrating219
15 Mathematics Programs221
- Vector Operations221
- Solutions of Simultaneous Equations232
- Polynomial Root Finder240
- Coordinate Transformations252
16 Statistics Programs259
- Curve Fitting259
- Normal and Inverse-Normal Distributions269
- Grouped Standard Deviation275
17 Miscellaneous Programs and Equations281
- Time Value of Money281
- Prime Number Generator286
Part 3. Appendixes and Reference291
- Support, Batteries, and Service293
- User Memory and the Stack303
ALG: Summary309
- About ALG309
- Doing Two-Number Arithmetic in ALG310
- Parentheses Calculations313
- Chain Calculations313
- Reviewing the Stack314
- Coordinate Conversions315
- Integrating an Equation316
- Operations with Complex Numbers316
- Arithmetic in Bases 2, 8, and 16318
- Entering Statistical Two-Variable Data319
More about Solving321
- How SOLVE Finds a Root321
- Interpreting Results322
- When SOLVE Cannot Find a Root328
- Round-Off Error334
- Underflow334
More about Integration337
- How the Integral Is Evaluated337
- Conditions that Could Cause Incorrect Results338
- Conditions that Prolong Calculation Time343
Messages347
Operation Index351
- Contents367
- Index371
  - Special Characters371

HP 33S - Page 253

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