hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 3
... way you select different modes of graph applications, use the ENTER key. The chapters in this user's guide in both modes. The hp 48gII can be thought of as the stack, and then the operator (e.g., '+' in the operation '2+3') is entered to as a calculator, because of strings, basic programming, graphics programming, string manipulation, advanced calculus and multivariate...
... way you select different modes of graph applications, use the ENTER key. The chapters in this user's guide in both modes. The hp 48gII can be thought of as the stack, and then the operator (e.g., '+' in the operation '2+3') is entered to as a calculator, because of strings, basic programming, graphics programming, string manipulation, advanced calculus and multivariate...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 4
The display can be useful when working with other calculators or computers. The programming capabilities of the calculator allow you can be adjusted to provide textbook-type expressions, which can connect your calculator with matrices, vectors, fractions, summations, derivatives, and integrals. The high-... specific purposes. The high-speed graphics of the calculator are very convenient for producing complex figures in your calculator, you or other users to facilitate storage and exchange of programs and data with other calculators or computers. Thanks to the infrared port and ...
The display can be useful when working with other calculators or computers. The programming capabilities of the calculator allow you can be adjusted to provide textbook-type expressions, which can connect your calculator with matrices, vectors, fractions, summations, derivatives, and integrals. The high-... specific purposes. The high-speed graphics of the calculator are very convenient for producing complex figures in your calculator, you or other users to facilitate storage and exchange of programs and data with other calculators or computers. Thanks to the infrared port and ...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 13
...-11 Function SUB, 10-11 Function REPL, 10-12 Function DIAG, 10-12 Function DIAG , 10-13 Function VANDERMONDE, 10-14 Function HILBERT, 10-14 A program to build a matrix out of a number of lists, 10-15 Lists represent columns of the matrix, 10-15 Lists represent rows of the matrix, 10...
...-11 Function SUB, 10-11 Function REPL, 10-12 Function DIAG, 10-12 Function DIAG , 10-13 Function VANDERMONDE, 10-14 Function HILBERT, 10-14 A program to build a matrix out of a number of lists, 10-15 Lists represent columns of the matrix, 10-15 Lists represent rows of the matrix, 10...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 18
..., 15-5 Vector potential, 15-6 Chapter 16 - Vector Analysis Applications, 15-1 Definitions, 15-1 Gradient and directional derivative, 15-1 A program to calculate the gradient, 15-2 Using function HESS to linear and non-linear equations, 16-4 Function LDEC, 16-4 Function DESOLVE, 16-7 The variable... Chapter 15 - Differential Equations, 16-1 Basic operations with differential equations, 16-1 Entering differential equations, 16-1 Checking solutions in the calculator, 16-2 Slope field visualization of solutions, 16-3 The CALC/DIFF menu, 16-4 Solution to obtain the gradient, 15-2 Potential ...
..., 15-5 Vector potential, 15-6 Chapter 16 - Vector Analysis Applications, 15-1 Definitions, 15-1 Gradient and directional derivative, 15-1 A program to calculate the gradient, 15-2 Using function HESS to linear and non-linear equations, 16-4 Function LDEC, 16-4 Function DESOLVE, 16-7 The variable... Chapter 15 - Differential Equations, 16-1 Basic operations with differential equations, 16-1 Entering differential equations, 16-1 Checking solutions in the calculator, 16-2 Slope field visualization of solutions, 16-3 The CALC/DIFF menu, 16-4 Solution to obtain the gradient, 15-2 Potential ...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 20
Statistical Applications, 18-1 Pre-programmed statistical features, 18-1 Entering data, 18-1 Calculating single-variable statistics, 18-2 Obtaining frequency distributions, 18-5 Fitting data to a function y = f(x) , 18-10 Obtaining additional summary statistics, 18-13 Calculation of percentiles, 18-14 The STAT soft menu, 18-15 The DATA sub-menu, 18-15 The ΣPAR sub-menu...
Statistical Applications, 18-1 Pre-programmed statistical features, 18-1 Entering data, 18-1 Calculating single-variable statistics, 18-2 Obtaining frequency distributions, 18-5 Fitting data to a function y = f(x) , 18-10 Obtaining additional summary statistics, 18-13 Calculation of percentiles, 18-14 The STAT soft menu, 18-15 The DATA sub-menu, 18-15 The ΣPAR sub-menu...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 21
Numbers in linear regression, 18-52 Procedure for inference statistics for linear regression using pre-programmed features, 18-43 Inferences concerning one variance, 18-47 Inferences concerning two variances, 18-48 Additional notes on linear regression, 18-49 The method of ..., 18-39 Paired sample tests, 18-40 Inferences concerning one proportion, 18-41 Testing the difference between two proportions, 18-41 Hypothesis testing using the calculator, 18-53 Multiple linear fitting, 18-56 Polynomial fitting, 18-58 Selecting the best fitting, 18-62 Chapter 19 -
Numbers in linear regression, 18-52 Procedure for inference statistics for linear regression using pre-programmed features, 18-43 Inferences concerning one variance, 18-47 Inferences concerning two variances, 18-48 Additional notes on linear regression, 18-49 The method of ..., 18-39 Paired sample tests, 18-40 Inferences concerning one proportion, 18-41 Testing the difference between two proportions, 18-41 Hypothesis testing using the calculator, 18-53 Multiple linear fitting, 18-56 Polynomial fitting, 18-58 Selecting the best fitting, 18-62 Chapter 19 -
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 22
... RPL language, 21-1 An example of programming, 21-1 Global and local variables and subprograms, 21-2 Global Variable Scope, 21-4 Local Variable Scope, ...21-6 Functions listed by sub-menu, 21-6 Shortcuts in the PRG menu, 21-9 Keystroke sequence for commonly used commands, 21-10 Programs for pixel references, 19-7 Chapter 20 - Customizing menus and keyboard, 20-1 Customizing menus, 20-1 The PRG/MODES/MENU, 20-1...-6 The BYTE menu, 19-6 Hexadecimal numbers for generating lists of numbers, 21-13 Examples of sequential programming, 21-15 Programs generated by defining a function, 21-15 Page TOC-18
... RPL language, 21-1 An example of programming, 21-1 Global and local variables and subprograms, 21-2 Global Variable Scope, 21-4 Local Variable Scope, ...21-6 Functions listed by sub-menu, 21-6 Shortcuts in the PRG menu, 21-9 Keystroke sequence for commonly used commands, 21-10 Programs for pixel references, 19-7 Chapter 20 - Customizing menus and keyboard, 20-1 Customizing menus, 20-1 The PRG/MODES/MENU, 20-1...-6 The BYTE menu, 19-6 Hexadecimal numbers for generating lists of numbers, 21-13 Examples of sequential programming, 21-15 Programs generated by defining a function, 21-15 Page TOC-18
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 23
... Input through input forms, 21-27 Creating a choose box, 21-31 Identifying output in algebraic mode, 21-66 Chapter 22 - Programs that simulate a sequence of stack operations, 21-17 Interactive input in programs, 21-19 Prompt with an input string, 21-21 A function with IF, 21-46 The CASE construct, 21-51... trapping, 21-64 DOERR, 21-64 ERRN, 21-64 ERRM, 21-65 ERR0, 21-65 LASTARG, 21-65 Sub-menu IFERR, 21-65 User RPL programming in programs, 21-33 Tagging a numerical result, 21- 33 Decomposing a tagged numerical result into number and tag, 21-33 "De-tagging" a tagged quantity, 21-33 Examples...
... Input through input forms, 21-27 Creating a choose box, 21-31 Identifying output in algebraic mode, 21-66 Chapter 22 - Programs that simulate a sequence of stack operations, 21-17 Interactive input in programs, 21-19 Prompt with an input string, 21-21 A function with IF, 21-46 The CASE construct, 21-51... trapping, 21-64 DOERR, 21-64 ERRN, 21-64 ERRM, 21-65 ERR0, 21-65 LASTARG, 21-65 Sub-menu IFERR, 21-65 User RPL programming in programs, 21-33 Tagging a numerical result, 21- 33 Decomposing a tagged numerical result into number and tag, 21-33 "De-tagging" a tagged quantity, 21-33 Examples...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 24
... information on the ANIMATE function, 22-29 Graphic objects (GROBs), 22-30 The GROB menu, 22-31 A program with plotting and drawing functions, 22-33 Modular programming, 22-36 Running the program, 22-36 A program to calculate principal stresses, 22-38 Ordering the variables in the TYPE sub-menu, 23-1 String concatenation, 23-2 Page TOC...
... information on the ANIMATE function, 22-29 Graphic objects (GROBs), 22-30 The GROB menu, 22-31 A program with plotting and drawing functions, 22-33 Modular programming, 22-36 Running the program, 22-36 A program to calculate principal stresses, 22-38 Ordering the variables in the TYPE sub-menu, 23-1 String concatenation, 23-2 Page TOC...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 27
... lines. Most screenshots in this guide were generated using a computer-based emulator (a program that simulates the operation of the calculator in the screen is a representation of the header lines, as the following: the calculator will actually show the following screen (calculator screens are shown with a thick border in this guide A screenshot is used for...
... lines. Most screenshots in this guide were generated using a computer-based emulator (a program that simulates the operation of the calculator in the screen is a representation of the header lines, as the following: the calculator will actually show the following screen (calculator screens are shown with a thick border in this guide A screenshot is used for...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 35
... a SOFT menu. 2. The following figures show the different pages of the BASE menu accessed by pressing I, will get: To revert to the first menu page. Programming applications (Chapters 21 and 22) use : H @)FLAGS -„ -˜@ @CHK@@ @@@OK@@@ @@@OK@@@. CHOOSE boxes is presented in the current soft menu. Additional information on editing...
... a SOFT menu. 2. The following figures show the different pages of the BASE menu accessed by pressing I, will get: To revert to the first menu page. Programming applications (Chapters 21 and 22) use : H @)FLAGS -„ -˜@ @CHK@@ @@@OK@@@ @@@OK@@@. CHOOSE boxes is presented in the current soft menu. Additional information on editing...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 44
The different levels are telling the calculator to apply the operator, or program, + to as 1, 2, 3, etc. Let's try now the expression proposed earlier: 3 ⋅ 5 − 1 3 233 ⋅ 3 + ... 1. The result, 5, is the root. The base in level 1. Try the following exercise involving 3 factors: (5 + 3) × 2 5`3+ Calculates (5 +3) first. 2X Completes the calculation. Entering 3`puts the number 3 in the proper order, and then the operator, i.e., 3`2`+. Notice that , instead of writing an operation such as the...
The different levels are telling the calculator to apply the operator, or program, + to as 1, 2, 3, etc. Let's try now the expression proposed earlier: 3 ⋅ 5 − 1 3 233 ⋅ 3 + ... 1. The result, 5, is the root. The base in level 1. Try the following exercise involving 3 factors: (5 + 3) × 2 5`3+ Calculates (5 +3) first. 2X Completes the calculation. Entering 3`puts the number 3 in the proper order, and then the operator, i.e., 3`2`+. Notice that , instead of writing an operation such as the...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 54
...adjusted according to your preference by -step mode for operations • Increasing power format for Computer Algebraic System. These are programmed and performed. symbolic mode • Approximate vs. This is the mathematical core of CAS settings are presented in Appendix C....Selecting CAS settings CAS stands for polynomials • Rigorous mode • Simplification of non-rational expressions Details on the selection of the calculator where the symbolic mathematical operations and functions are : • The default independent variable • Numeric vs. Press the !!@@OK#@...
...adjusted according to your preference by -step mode for operations • Increasing power format for Computer Algebraic System. These are programmed and performed. symbolic mode • Approximate vs. This is the mathematical core of CAS settings are presented in Appendix C....Selecting CAS settings CAS stands for polynomials • Rigorous mode • Simplification of non-rational expressions Details on the selection of the calculator where the symbolic mathematical operations and functions are : • The default independent variable • Numeric vs. Press the !!@@OK#@...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 60
... might be automatically converted to reals. The concept of global or local names is written as possible during calculations. A complex number, e.g., 3 + 2i, is related to the scope or reach of the variable in a given program. If the approximate mode (APPROX) is selected in the CAS (see Appendix C), integers will detect such mixing...
... might be automatically converted to reals. The concept of global or local names is written as possible during calculations. A complex number, e.g., 3 + 2i, is related to the scope or reach of the variable in a given program. If the approximate mode (APPROX) is selected in the CAS (see Appendix C), integers will detect such mixing...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 61
... used in a personal computer. We are used in memory ports that are used to them. Libraries, objects of type 16, are programs residing in the output of many programs to enter the arithmetic expression: 1.0 + 1.0 5.0 ⋅ 7.5 3.0 − 2.03 To enter this expression use the following ...directory (or sub-directory) in your variables in the screen In this example, we present examples of expression editing directly into the calculator display (algebraic history or RPN stack). Editing expressions in a similar fashion as the mean of a sample, for the display. ...
... used in a personal computer. We are used in memory ports that are used to them. Libraries, objects of type 16, are programs residing in the output of many programs to enter the arithmetic expression: 1.0 + 1.0 5.0 ⋅ 7.5 3.0 − 2.03 To enter this expression use the following ...directory (or sub-directory) in your variables in the screen In this example, we present examples of expression editing directly into the calculator display (algebraic history or RPN stack). Editing expressions in a similar fashion as the mean of a sample, for the display. ...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 98
... are no variables defined within MANS, to hold variables created as {HOME MANS}. Using the command CRDIR The command CRDIR can be used to normal calculator display (the TOOLS menu will be shown in fourth row of keys from the top of the MANS directory as the ,N key), or by the... INTROduction), within this directory. Next, we will show an empty sub-directory. Then, press J to locate the CRDIR command. This command is available through the programming menus (the „°key, same key as follows: Press the )!INTRO soft menu key to activate the command. • Through the...
... are no variables defined within MANS, to hold variables created as {HOME MANS}. Using the command CRDIR The command CRDIR can be used to normal calculator display (the TOOLS menu will be shown in fourth row of keys from the top of the MANS directory as the ,N key), or by the... INTROduction), within this directory. Next, we will show an empty sub-directory. Then, press J to locate the CRDIR command. This command is available through the programming menus (the „°key, same key as follows: Press the )!INTRO soft menu key to activate the command. • Through the...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 101
... catalog key Press ,N~~pg. Press L@PURGE. The !ABORT command, however, will show an error message: and you want to activate the command. • Through the programming menus Press „°. Press the @@OK@@ soft menu key to delete. The soft menu keys provide the following pull-down menu for...
... catalog key Press ,N~~pg. Press L@PURGE. The !ABORT command, however, will show an error message: and you want to activate the command. • Through the programming menus Press „°. Press the @@OK@@ soft menu key to delete. The soft menu keys provide the following pull-down menu for...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 104
...variables (in fact, in the calculator, a subdirectory is available by pressing...numerical characters, starting with an alphabetical character. The reserved calculator variable names are like files on a computer hard drive...a variable, we want to by their names, which can be any combination of calculator object). In the following : ALRMDAT, CST, EQ, EXPR, IERR, IOPAR, MAXR...we can use the FILES menu, along the lines of the calculator. Thus, '→A' is a valid variable name, but '→...English or Greek). One variable can be used in the calculator. You can not have the same name than a ...
...variables (in fact, in the calculator, a subdirectory is available by pressing...numerical characters, starting with an alphabetical character. The reserved calculator variable names are like files on a computer hard drive...a variable, we want to by their names, which can be any combination of calculator object). In the following : ALRMDAT, CST, EQ, EXPR, IERR, IOPAR, MAXR...we can use the FILES menu, along the lines of the calculator. Thus, '→A' is a valid variable name, but '→...English or Greek). One variable can be used in the calculator. You can not have the same name than a ...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 105
... get a files listing with the values shown: Name A α A12 Q R z1 p1 Contents 12.5 -0.25 3×105 'r/(m+r)' [3,2,1] 3+5i > Type real real real algebraic vector complex program Using the FILES menu We will use the following variables with no entries (the INTRO sub-directory is empty at this screen: Press @@OK@@ to...
... get a files listing with the values shown: Name A α A12 Q R z1 p1 Contents 12.5 -0.25 3×105 'r/(m+r)' [3,2,1] 3+5i > Type real real real algebraic vector complex program Using the FILES menu We will use the following variables with no entries (the INTRO sub-directory is empty at this screen: Press @@OK@@ to...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
Page 107
.... The variable is being stored into variable α: 0.25\ K ~,a. Name α A12 Q R z1 p1 Contents -0.25 3×105 'r/(m+r)' [3,2,1] 3+5i > Type real real algebraic vector complex program • Algebraic mode Use the following are the keystrokes required to enter the remaining variables: A12: 3V5K~a12` Q: ³~„r/„Ü ~„m+~„r™...
.... The variable is being stored into variable α: 0.25\ K ~,a. Name α A12 Q R z1 p1 Contents -0.25 3×105 'r/(m+r)' [3,2,1] 3+5i > Type real real algebraic vector complex program • Algebraic mode Use the following are the keystrokes required to enter the remaining variables: A12: 3V5K~a12` Q: ³~„r/„Ü ~„m+~„r™...