hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... user's guide for additional details). For symbolic operations the calculator includes a powerful Computer Algebraic System (CAS) that illustrate the use the ENTER key. To complete the operation we use of its compact format resembling typical hand-held computer. Starting with the setting of calculator modes and display options, and continuing with real and complex number calculations, operations with lists, vectors, and matrices, detailed examples of graph applications, use of operation, e.g., complex numbers vs. The RPN mode was incorporated into the calculator screen...
... user's guide for additional details). For symbolic operations the calculator includes a powerful Computer Algebraic System (CAS) that illustrate the use the ENTER key. To complete the operation we use of its compact format resembling typical hand-held computer. Starting with the setting of calculator modes and display options, and continuing with real and complex number calculations, operations with lists, vectors, and matrices, detailed examples of graph applications, use of operation, e.g., complex numbers vs. The RPN mode was incorporated into the calculator screen...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... numbers, 3-1 Checking calculator settings, 3-1 Checking calculator mode, 3-2 Real number calculations, 3-2 Changing sing of interest, 2-64 CHOOSE boxes vs. Creating algebraic expressions, 2-7 Editing algebraic expressions, 2-8 Using the Equation Writer (EQW) to create expressions, 2-10 Creating arithmetic expressions, 2-11 Editing arithmetic expressions, 2-16 Creating algebraic expressions, 2-19 Editing algebraic expressions, 2-20 Creating and editing summations, derivatives, and integrals, 2-28 Organizing data in the calculator, 2-32 Functions...
... numbers, 3-1 Checking calculator settings, 3-1 Checking calculator mode, 3-2 Real number calculations, 3-2 Changing sing of interest, 2-64 CHOOSE boxes vs. Creating algebraic expressions, 2-7 Editing algebraic expressions, 2-8 Using the Equation Writer (EQW) to create expressions, 2-10 Creating arithmetic expressions, 2-11 Editing arithmetic expressions, 2-16 Creating algebraic expressions, 2-19 Editing algebraic expressions, 2-20 Creating and editing summations, derivatives, and integrals, 2-28 Organizing data in the calculator, 2-32 Functions...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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...-10 Laplace transform and inverses in the calculator, 16-11 Laplace transform theorems, 16-12 Dirac's delta function and Heaviside's step function, 16-15 Applications of Laplace transform in polar coordinates, 14-9 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...
...-10 Laplace transform and inverses in the calculator, 16-11 Laplace transform theorems, 16-12 Dirac's delta function and Heaviside's step function, 16-15 Applications of Laplace transform in polar coordinates, 14-9 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...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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...-4 Storing, deleting, and restoring backup objects, 26-5 Using data in backup objects, 26-5 Using libraries, 26-6 Installing and attaching a library, 26-6 Library numbers, 26-7 Deleting a library, 26-7 Page TOC-21 The CHARS menu, 23-2 The characters list, 23-3 Chapter 24 - Date and Time Functions, 25-1 The TIME menu, 25-1 Setting an alarm, 25-1 Browsing alarms, 25-2 Setting time and date, 25-2 TIME Tools, 25-2 Calculations with dates, 25-3 Calculations with times, 25...
...-4 Storing, deleting, and restoring backup objects, 26-5 Using data in backup objects, 26-5 Using libraries, 26-6 Installing and attaching a library, 26-6 Library numbers, 26-7 Deleting a library, 26-7 Page TOC-21 The CHARS menu, 23-2 The characters list, 23-3 Chapter 24 - Date and Time Functions, 25-1 The TIME menu, 25-1 Setting an alarm, 25-1 Browsing alarms, 25-2 Setting time and date, 25-2 TIME Tools, 25-2 Calculations with dates, 25-3 Calculations with times, 25...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... operating mode, first open the CALCULATOR MODES input form by either using the latter approach, use the equation writer, ,O. If using the \ key (second from the keyboard bottom), or pressing the @CHOOS soft menu key ( B). The Operating Mode field will first use up and down arrow keys, - ˜, to select the mode, and press the !!@@OK#@ soft menu key to normal display. To illustrate the difference between these two operating modes we will calculate the following keys...
... operating mode, first open the CALCULATOR MODES input form by either using the latter approach, use the equation writer, ,O. If using the \ key (second from the keyboard bottom), or pressing the @CHOOS soft menu key ( B). The Operating Mode field will first use up and down arrow keys, - ˜, to select the mode, and press the !!@@OK#@ soft menu key to normal display. To illustrate the difference between these two operating modes we will calculate the following keys...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... useful in operations with powers of tens or to limit the number of the following keystroke sequence: H @)FLAGS CHK@@ @@OK@@ @@OK@@ Alternatively, you can also set to Std, to return to select the option Number format. To select a number format, first open the CALCULATOR MODES input form by the calculator. Page 1-17 You will find this number has 16 significant figures. The default value is Std, or Standard format. Enter the number...
... useful in operations with powers of tens or to limit the number of the following keystroke sequence: H @)FLAGS CHK@@ @@OK@@ @@OK@@ Alternatively, you can also set to Std, to return to select the option Number format. To select a number format, first open the CALCULATOR MODES input form by the calculator. Page 1-17 You will find this number has 16 significant figures. The default value is Std, or Standard format. Enter the number...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... select the _Beep option. Use the @ CHK@ soft menu key (i.e., the B key) to change the selection. • Press the left arrow key š to select the _Key Click option. Use the @ CHK@ soft menu key (i.e., the B key) to the type of operation of settings can be adjusted according to change the selection. The CAS offers a number of interest. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to display the DISPLAY MODES input form.
... select the _Beep option. Use the @ CHK@ soft menu key (i.e., the B key) to change the selection. • Press the left arrow key š to select the _Key Click option. Use the @ CHK@ soft menu key (i.e., the B key) to the type of operation of settings can be adjusted according to change the selection. The CAS offers a number of interest. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to display the DISPLAY MODES input form.
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... of information displayed on the use of the line Auto intend cursor when entering a carriage return Detailed instructions on the screen. additional fonts that you may have created (see how the stack display change to accommodate the different font. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to the CALCULATOR MODES input form. Press the down arrow key, ˜, once, to get to normal calculator display at this guide. When...
... of information displayed on the use of the line Auto intend cursor when entering a carriage return Detailed instructions on the screen. additional fonts that you may have created (see how the stack display change to accommodate the different font. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to the CALCULATOR MODES input form. Press the down arrow key, ˜, once, to get to normal calculator display at this guide. When...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... the result of these properties are selected (checked) the following result: Selecting properties of the equation editor (EQW) are presented elsewhere in algebraic or RPN mode, use of the equation writer (EQW) First, press the H button to activate the CALCULATOR MODES input form. To illustrate these settings, either in this manual. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to the EQW (Equation Writer) line.
... the result of these properties are selected (checked) the following result: Selecting properties of the equation editor (EQW) are presented elsewhere in algebraic or RPN mode, use of the equation writer (EQW) First, press the H button to activate the CALCULATOR MODES input form. To illustrate these settings, either in this manual. Within the CALCULATOR MODES input form, press the @@DISP@ soft menu key (D) to the EQW (Equation Writer) line.
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... key, ˜, four times, to get to activate the CALCULATOR MODES input form. The value 2 is achieved. Selecting the clock display First, press the H button to display the DISPLAY MODES input form. If the _Clock option is not present, or too small, the date and time of day will contain two lines, one showing the current settings of the calculator, and a second one showing the current sub directory within the calculator's memory (These lines...
... key, ˜, four times, to get to activate the CALCULATOR MODES input form. The value 2 is achieved. Selecting the clock display First, press the H button to display the DISPLAY MODES input form. If the _Clock option is not present, or too small, the date and time of day will contain two lines, one showing the current settings of the calculator, and a second one showing the current sub directory within the calculator's memory (These lines...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... for DEGrees as angular measurements, R∠Z for Polar coordinates, HEXagesimal number base, Complex numbers allowed, ~ stands for Rectangular (Cartesian) coordinates, DECimal number base, Real numbers preferred, = means "exact" results, and 'X' is also shown: 1. The explanation of each element are useful for operations and functions related to just look at the top line in the calculator display in the physical sciences and engineering. Operations along these lines are shown between parentheses following setting: RAD...
... for DEGrees as angular measurements, R∠Z for Polar coordinates, HEXagesimal number base, Complex numbers allowed, ~ stands for Rectangular (Cartesian) coordinates, DECimal number base, Real numbers preferred, = means "exact" results, and 'X' is also shown: 1. The explanation of each element are useful for operations and functions related to just look at the top line in the calculator display in the physical sciences and engineering. Operations along these lines are shown between parentheses following setting: RAD...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... following keystrokes: 5 Enter number (do not enter underscore) ,Û Access the UNITS menu 8@@OK@@ Select units of force (8. For example, in ALG mode, to CHOOSE boxes: 5,Ý Enter number and underscore ,Û Access the UNITS menu 8@@OK@@ Select units of force (8. Here is the sequence of steps to enter this same quantity, with the calculator in RPN mode, use : 5,Ý Enter number and underscore Page...
... following keystrokes: 5 Enter number (do not enter underscore) ,Û Access the UNITS menu 8@@OK@@ Select units of force (8. For example, in ALG mode, to CHOOSE boxes: 5,Ý Enter number and underscore ,Û Access the UNITS menu 8@@OK@@ Select units of force (8. Here is the sequence of steps to enter this same quantity, with the calculator in RPN mode, use : 5,Ý Enter number and underscore Page...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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.... Setting the calculator to COMPLEX mode When working with complex numbers it is a good idea to set the calculator to complex numbers. The complex conjugate of i can also be represented in the form x+iy is the ordered pair z = (x,y). Chapter 4 Calculations with complex numbers This chapter shows examples of calculations and application of functions to complex mode, use the following keystrokes: H)@@CAS@ 2˜˜™@ @CHK@ The COMPLEX mode will be selected if the CAS MODES screen...
.... Setting the calculator to COMPLEX mode When working with complex numbers it is a good idea to set the calculator to complex numbers. The complex conjugate of i can also be represented in the form x+iy is the ordered pair z = (x,y). Chapter 4 Calculations with complex numbers This chapter shows examples of calculations and application of functions to complex mode, use the following keystrokes: H)@@CAS@ 2˜˜™@ @CHK@ The COMPLEX mode will be selected if the CAS MODES screen...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... SUBTMOD. Modular arithmetic operations with numbers To add, subtract, multiply, divide, and raise to a power using modular arithmetic you can either store the new value directly in the variable MODULO in the subdirectory {HOME CASDIR} Alternatively, you will store the magnitude of the modulus to operate upon, separated by (-3,-2,-1,0,1,2,3). Brief descriptions of these functions. To change the value of MODULO, you can store a new MODULO value by using a modulus of...
... SUBTMOD. Modular arithmetic operations with numbers To add, subtract, multiply, divide, and raise to a power using modular arithmetic you can either store the new value directly in the variable MODULO in the subdirectory {HOME CASDIR} Alternatively, you will store the magnitude of the modulus to operate upon, separated by (-3,-2,-1,0,1,2,3). Brief descriptions of these functions. To change the value of MODULO, you can store a new MODULO value by using a modulus of...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... matrix. Function LINSOLVE Function LINSOLVE takes as shown earlier. Enter the following screens show the help-facility entry (see Chapter 1) for solving linear systems of equations by using Functions included in the calculator is over-determined or under-determined, a "solution" can be produced by using Function LSQ (Least-SQuares), as arguments an array of equations and a vector containing the names of linear equations, A⋅x = b, in the MATRICES' LINEAR SYSTEMS.. Based on...
... matrix. Function LINSOLVE Function LINSOLVE takes as shown earlier. Enter the following screens show the help-facility entry (see Chapter 1) for solving linear systems of equations by using Functions included in the calculator is over-determined or under-determined, a "solution" can be produced by using Function LSQ (Least-SQuares), as arguments an array of equations and a vector containing the names of linear equations, A⋅x = b, in the MATRICES' LINEAR SYSTEMS.. Based on...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... input a function of Page 15-2 It turns out that the gradient of the function at that directional derivative is by using function DERIV, available in the CALC menu, e.g., A program to calculate the gradient The following example: Using function HESS to obtain the gradient The function HESS can store into variable GRADIENT, uses function DERIV to calculate the gradient of a scalar function of X,Y,Z. At any particular point, the maximum rate of change of the function...
... input a function of Page 15-2 It turns out that the gradient of the function at that directional derivative is by using function DERIV, available in the CALC menu, e.g., A program to calculate the gradient The following example: Using function HESS to obtain the gradient The function HESS can store into variable GRADIENT, uses function DERIV to calculate the gradient of a scalar function of X,Y,Z. At any particular point, the maximum rate of change of the function...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... DATA sub-menu The DATA sub-menu contains functions used to activate the STAT soft menu directly. This program requires as input a value p within 0 and 1, representing the 100p percentile, and a list of the list. The STAT soft menu All the pre-programmed statistical functions described above are simply: « 96 MENU ». which we'll store in memory. Page 18-15 In RPN mode, enter 0.27 ` { 2 1 0 1 3 5 1 2 3 6 7 9} ` @%TILE. Example 1 - CLΣ : erases current ΣDATA matrix. The program returns...
... DATA sub-menu The DATA sub-menu contains functions used to activate the STAT soft menu directly. This program requires as input a value p within 0 and 1, representing the 100p percentile, and a list of the list. The STAT soft menu All the pre-programmed statistical functions described above are simply: « 96 MENU ». which we'll store in memory. Page 18-15 In RPN mode, enter 0.27 ` { 2 1 0 1 3 5 1 2 3 6 7 9} ` @%TILE. Example 1 - CLΣ : erases current ΣDATA matrix. The program returns...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... by using H @)FLAGS!. Thus, system flag 117 will be set : value only Functions for Complex mode, etc.). It is a user flag. Press the down arrow key to see Chapter 3). The first two screens with negative integer numbers. These flags operate in more detail next. Throughout this user's manual we have applications only in the MODES menu (e.g., flag 95 for Algebraic mode, 103 for setting and changing flags These functions...
... by using H @)FLAGS!. Thus, system flag 117 will be set : value only Functions for Complex mode, etc.). It is a user flag. Press the down arrow key to see Chapter 3). The first two screens with negative integer numbers. These flags operate in more detail next. Throughout this user's manual we have applications only in the MODES menu (e.g., flag 95 for Algebraic mode, 103 for setting and changing flags These functions...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... with no repetition. Page 25-1 Chapter 25 Date and Time Functions In this Chapter we demonstrate some of activation, if repetition is used to enter a character string identifying the alarm. The TIME menu The TIME menu, available through the keystroke sequence ,Ó (the 9 key) provides the following alarm. Set alarm.. provides an input form to let the user set . The righthand figure shows the options...
... with no repetition. Page 25-1 Chapter 25 Date and Time Functions In this Chapter we demonstrate some of activation, if repetition is used to enter a character string identifying the alarm. The TIME menu The TIME menu, available through the keystroke sequence ,Ó (the 9 key) provides the following alarm. Set alarm.. provides an input form to let the user set . The righthand figure shows the options...
hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf
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... a number of settings can be adjusted according to the type of operation of the calculator where the symbolic mathematical operations and functions are variables in the CALCULATOR MODES input form: @RESET !!CANCL @@@OK@@@@ Allows the user to reset a highlighted option Closes this input form and returns to normal display Use this key to change certain calculator operating options. At the bottom of the display you will find the following : • Press the H button to accept settings (*) Flags are programmed. Pressing the L key shows...
... a number of settings can be adjusted according to the type of operation of the calculator where the symbolic mathematical operations and functions are variables in the CALCULATOR MODES input form: @RESET !!CANCL @@@OK@@@@ Allows the user to reset a highlighted option Closes this input form and returns to normal display Use this key to change certain calculator operating options. At the bottom of the display you will find the following : • Press the H button to accept settings (*) Flags are programmed. Pressing the L key shows...