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HP 32SII User Manual
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Mathematics
Programs
15–1
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This program performs the
basic vector operations of
addition, subtraction
,
cros
s product
, and dot (o
r sca
lar
) product. T
he program uses
three–dimensional ve
ctors and provides
input and output in
rectangular or
polar form. Angles between
ve
ctors can also be found.
Y
P
X
T
R
Z
226
228
Table of Contents
Default Chapter
3
Table of Contents
3
Basic Operation
15
1 Getting Started
17
Important Preliminaries
17
Turning the Calculator on and off
17
Adjusting Display Contrast
17
Highlights of the Keyboard an Display
17
Shifted Keys
17
Alpha Keys
18
Backspacing and Clearing
18
Using Menus
20
Exiting Menus
23
Annunciator
23
Keying in Numbers
25
Making Numbers Negative
26
Exponent of Ten
26
Understanding Digit Entry
27
Ra N Ge Number and OVERFLOW
28
Doing Arithmetic
28
One-Number Functions
28
Two-Number Functions
29
Controlling the Display Format
30
Periods and Commas in Numbers
30
Number of Decimal Places
31
Showing Fu Ll 12-Digit Precision
32
Fractions
33
Entering Fractions
33
Displaying Fractions
35
Messages
35
Calculator Memory
36
Checking Available Memory
36
Clearing All of Memory
36
2 The Automatic Memory Stack
39
What the Stack Is
39
The X-Register Is in the Display
40
Clearing the X-Register
40
Reviewing the Stack
41
Exchanging the X- and Y-Registers in the Stack
42
Arithmetic-How the Stack Does It
42
How ENTER Works
43
How CLEAR X Works
45
The LAST X Register
46
Correcting Mistakes with LAST X
47
Reusing Numbers with LAST X
48
Chain Calculations
50
Work from the Parentheses out
50
Exercises
52
Order of Calculation
53
More Exercises
54
3 Storing Data into Variables
57
Storing and Recalling Numbers
57
Viewing a Variable Without Recalling It
58
Reviewing Variables in the VAR Catalog
59
Clearing Variables
59
Arithmetic with Stored Variables
60
Storage Arithmetic
60
Recall Arithmetic
61
Exchanging X with any Variable
62
The Variable "I
63
4 Real-Number Functions
65
Exponential and Logarithmic Functions
65
Power Functions
66
Trigonometry
67
Entering Π
67
Setting the Angular Mode
67
Trigonometric Functions
68
Hyperbolic Functions
69
Percentage Functions
69
Conversion Functions
71
Coordinate Conversions
71
Time Conversions
73
Angle Conversions
74
Unit Conversions
75
Probability Functions
75
Factorial
75
Gamma
75
Probability Menu
76
Parts of Numbers
78
Names of Function
78
5 Fractions
79
Entering Fractions
79
Fractions in the Display
80
Display Rules
80
Accuracy Indicators
81
Longer Fractions
82
Changing the Fraction Display
83
Setting the Maximum Denominator
83
Choosing Fraction Format
84
Examples of Fraction Displays
85
Rounding Fractions
86
Fractions in Equations
87
Fractions in Programs
88
6 Entering and Evaluating Equations
89
How You Can Use Equations
89
Summary of Equation Operations
91
Entering Equations into the Equation List
92
Variables in Equations
93
Number in Equations
93
Functions in Equations
94
Parentheses in Equations
95
Displaying and Selecting Equations
95
Editing and Clearing Equations
97
Types of Equations
98
Evaluating Equations
99
Using ENTER for Evaluation
100
Using XEQ for Evaluation
102
Responding to Equation Prompts
102
The Syntax of Equations
103
Operator Precedence
103
Equation Function
105
Syntax Errors
108
Verifying Equations
108
7 Solving Equations
111
Solving an Equation
111
Understanding and Controlling SOLVE
115
Verifying the Result
116
Interrupting a SOLVE Calculation
117
Choosing Initial Guesses for SOLVE
117
For more Information
121
8 Integrating Equations
123
Integrating Equations ( ∫ FN)
123
Integrating Equations ( ∫ FN)
124
Accuracy of Integration
128
Specifying Accuracy
128
Interpreting Accuracy
129
For more Information
131
9 Operations with Comb Numbers
133
The Complex Stack
133
Complex Operations
135
Using Complex Number in Polar Notation
138
10 Base Conversions and Arithmetic
141
Arithmetic in Bases 2, 8, and 16
142
The Representation of Numbers
144
Negative Numbers
144
Range of Numbers
145
Windows for Long Binary Numbers
146
Showing Partially Hidden Numbers
146
11 Statistical Operations
149
Entering Statistical Data
149
Entering One-Variable Data
150
Entering Two-Variable Data
150
Correcting Errors in Data Entry
151
Statistical Calculations
152
Mean
152
Sample Standard Deviation
154
Population Standard Deviation
155
Linear Regression
155
Limitations on Precision of Data
158
Summation Values and the Statistics Registers
159
Summation Statistics
159
The Statistics Registers in Calculator Memory
160
Access to the Statistics Registers
161
Part 2. Programming
162
12 Simple Programming
163
Designing a Program
164
Program Boundaries (LBL and RTN)
165
Using RPN and Equations in Programs
166
Data Input and Output
166
Entering a Program
167
Keys that Clear
168
Function Names in Programs
169
Running a Program
170
Executing a Program (XEQ)
171
Testing a Program
171
Entering and Displaying Data
173
Using INPUT for Entering Data
173
Using VIEW for Displaying Data
176
Using Equations to Display Messages
176
Displaying Information Without Stopping
179
Stopping or Interrupting a Program
180
Programming a Stop or Pause (STOP, PSE)
180
Interrupting a Running Program
180
Error Stops
180
Editing Program
181
Program Memory
182
Viewing Program Memory
182
Memory Usage
182
The Catalog of Programs (MEM)
183
Clearing One or more Programs
184
The Checksum
184
Nonprogrammable Functions
185
Programming with BASE
185
Selecting a Base Mode in a Program
186
Numbers Entered in Program Lines
186
Polynomial Expressions and Horner's Method
187
13 Programming Techniques
191
Routines in Programs
191
Calling Subroutines (XEQ, RTN)
192
Nested Subroutines
193
Branching (GTO)
195
A Programmed GTO Instruction
195
Using GTO from the Keyboard
196
Conditional Instructions
197
Tests of Comparison (X ? Y, X ? 0)
198
Flags
199
Loops
206
Conditional Loops (GTO)
206
Loops with Counters (DSE, ISG)
207
Indirectly Addressing Variables and Labels
210
The Variable "I
210
The Indirect Address, (I)
211
Program Control with (I)
212
Equations with (I)
214
14 Solving and Integrating Programs
217
Solving a Program
217
Using SOLVE in Program
221
Integrating a Program
223
Using Integration in a Program
225
Restrictions O Solving and Integrating
226
15 Mathematics Programs
227
Vector Operations
227
Solutions of Simultaneous Equations
238
Polynomial Root Finder
246
Coordinate Transformations
257
16 Statistics Programs
265
Curve Fitting
265
Exponential Curve Fit
266
Logarithmic Curve Fit
266
Power Curve Fit
266
Normal and Inverse-Normal Distributions
275
Grouped Standard Deviation
282
17 Miscellaneous Programs and Equations
287
Time Value of Money
287
Prime Number Generator
292
Support, Batteries, and Service
299
Calculator Support
299
Answers to Common Questions
299
Environmental Limits
300
Changing the Batteries
301
Testing Calculator Operation
302
The Self-Test
303
Limited One-Year Warranty
304
What Is Covered
304
What Is Not Covered
304
Consumer Transaction in the United Kingdom
305
If the Calculator Requires Service
305
Service Charge
306
Shipping Instructions
306
Warranty on Service
306
Service Agreements
307
Regulatory Information
307
User Memory and the Stack
309
Managing Calculator Memory
309
Contents
309
File Name 32Sii-Manual-E
309
Clearing Memory
311
Resetting the Calculator
311
The Status of Stack Lift
312
Disabling Operations
313
File Name 32Sii-Manual-E
313
Neutral Operations
313
The Status of the LAST X Register
314
More about Solving
315
How SOLVE Finds a Root
315
Interpreting Results
317
When SOLVE Cannot Find Root
322
Round-Off Error
328
Underflow
329
How the Integral Is Evaluated
331
Conditions that Could Cause Incorrect Results
332
Conditions that Prolong Calculation Time
335
Conditions that Prolong Calculation Time
338
Special Characters
361
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HP 32SII Specifications
General
Brand
HP
Model
32SII
Category
Calculator
Language
English
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