HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Notice REGISTER YOUR PRODUCT AT: www.register.hp.com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED "AS IS" AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. Hewlett-Packard Company 4995 ...Murphy Canyon Rd, Suite 301 San Diego,CA 92123 Printing History Edition 1 April 2006 HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT ...
... prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Notice REGISTER YOUR PRODUCT AT: www.register.hp.com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED "AS IS" AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. Hewlett-Packard Company 4995 ...Murphy Canyon Rd, Suite 301 San Diego,CA 92123 Printing History Edition 1 April 2006 HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... have in your hands a compact symbolic and numerical computer that illustrate the use of the basic calculator functions and operations. This allows for your calculator with other calculators or computers. For symbolic operations the calculator includes a powerful Computer Algebraic System (CAS), which can connect your school and professional applications. approximate (numerical) mode. We hope your...
... have in your hands a compact symbolic and numerical computer that illustrate the use of the basic calculator functions and operations. This allows for your calculator with other calculators or computers. For symbolic operations the calculator includes a powerful Computer Algebraic System (CAS), which can connect your school and professional applications. approximate (numerical) mode. We hope your...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... point, 1-13 Angle Measure, 1-14 Coordinate System, 1-14 Selecting CAS settings, 1-15 Explanation of CAS settings, 1-16 Selecting Display modes, 1-17 Selecting the display font, 1-18 Selecting properties of the line editor, 1-18 Selecting properties of the Stack, 1-19 Selecting properties of the calculator's display, 1-3 Menus, 1-3 The TOOL menu, 1-3 Setting time and date...
... point, 1-13 Angle Measure, 1-14 Coordinate System, 1-14 Selecting CAS settings, 1-15 Explanation of CAS settings, 1-16 Selecting Display modes, 1-17 Selecting the display font, 1-18 Selecting properties of the line editor, 1-18 Selecting properties of the Stack, 1-19 Selecting properties of the calculator's display, 1-3 Menus, 1-3 The TOOL menu, 1-3 Setting time and date...
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These commands are: @CASCM A CASCMD: CAS CoMmanD, used to launch a command from the CAS (Computer Algebraic System) by pressing the L (NeXT menu) key. Introducing the calculator's keyboard The figure on the next page shows a diagram of keys in the keyboard. Page 1-4 The second page is the third key..., only the first two soft menu keys have commands associated with the numbering of the keyboard). This menu has actually eight entries arranged in the calculator Pressing the L key will show the original TOOL menu. Also, the left-shift key, key (8,1), the right-shift key, key (9,1), and ...
These commands are: @CASCM A CASCMD: CAS CoMmanD, used to launch a command from the CAS (Computer Algebraic System) by pressing the L (NeXT menu) key. Introducing the calculator's keyboard The figure on the next page shows a diagram of keys in the keyboard. Page 1-4 The second page is the third key..., only the first two soft menu keys have commands associated with the numbering of the keyboard). This menu has actually eight entries arranged in the calculator Pressing the L key will show the original TOOL menu. Also, the left-shift key, key (8,1), the right-shift key, key (9,1), and ...
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... until the right setting is selected, a check mark will be adjusted according to activate the CALCULATOR MODES input form. • To change CAS settings press the @@CAS@@ soft menu key. To see the optional CAS settings use the arrow keys: š™˜-. • To select or deselect any... : • Press the H button to the type of operation of the calculator where the symbolic mathematical operations and functions are programmed. soft menu key to complete the operation. For example, in the CAS MODES input form, use the following screen, the Polar coordinate mode is the ...
... until the right setting is selected, a check mark will be adjusted according to activate the CALCULATOR MODES input form. • To change CAS settings press the @@CAS@@ soft menu key. To see the optional CAS settings use the arrow keys: š™˜-. • To select or deselect any... : • Press the H button to the type of operation of the calculator where the symbolic mathematical operations and functions are programmed. soft menu key to complete the operation. For example, in the CAS MODES input form, use the following screen, the Polar coordinate mode is the ...
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..._Complex, _Verbose, _Step/Step, _Incr Pow options above ). Note that you back to the CALCULATOR MODES input form. This will show no check mark in calculations. If unchecked the CAS is in Exact mode, which produces symbolic results in modular arithmetic this point, press the @@@...Typically, VX = 'X'. • Modulo: For operations in algebraic calculations. • Complex: If set , provides step-by-step results for CAS applications. Unselected options will take you want in Real mode, i.e., real number calculations are shown in increasing order of the powers of the independent ...
..._Complex, _Verbose, _Step/Step, _Incr Pow options above ). Note that you back to the CALCULATOR MODES input form. This will show no check mark in calculations. If unchecked the CAS is in Exact mode, which produces symbolic results in modular arithmetic this point, press the @@@...Typically, VX = 'X'. • Modulo: For operations in algebraic calculations. • Complex: If set , provides step-by-step results for CAS applications. Unselected options will take you want in Real mode, i.e., real number calculations are shown in increasing order of the powers of the independent ...
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... symbolic quantity, e.g., 5*„Ü1+1/7.5™/ „ÜR3-2Q3 Before producing a result, you press `, the calculator will attempt to calculate a value for the expression. Notice that, if your CAS is set to EXACT (see Chapter 1): In this case, when the expression is entered directly into the stack, ...as soon as follows: µ„î` Page 2-2 If the expression is preceded by a tickmark, however, the calculator will be shown as follows...
... symbolic quantity, e.g., 5*„Ü1+1/7.5™/ „ÜR3-2Q3 Before producing a result, you press `, the calculator will attempt to calculate a value for the expression. Notice that, if your CAS is set to EXACT (see Chapter 1): In this case, when the expression is entered directly into the stack, ...as soon as follows: µ„î` Page 2-2 If the expression is preceded by a tickmark, however, the calculator will be shown as follows...
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...-µ. Next, we subtract the two values and evaluate this is purely numerical, so that there are the same used above when the calculator is set the CAS to Exact, the display to Textbook, and the number format to Standard. We will now enter the expression used earlier, i.e., ³...in the output Press ` once more to keep two copies of the expression available in the calculator's user's guide. If the CAS is set to Exact, you will be asked to approve changing the CAS setting to Approx. Once this difference using the option ...ï. For additional information on editing...
...-µ. Next, we subtract the two values and evaluate this is purely numerical, so that there are the same used above when the calculator is set the CAS to Exact, the display to Textbook, and the number format to Standard. We will now enter the expression used earlier, i.e., ³...in the output Press ` once more to keep two copies of the expression available in the calculator's user's guide. If the CAS is set to Exact, you will be asked to approve changing the CAS setting to Approx. Once this difference using the option ...ï. For additional information on editing...
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... the following result: Entering this expression when the calculator is set the calculator operating mode to Algebraic, the CAS to Exact, and the display to get the following algebraic expression: 2L 1+ x R +2L R+ y b We set in the calculator's user's guide. For additional information on editing ...algebraic expressions in the calculator's display or stack see Chapter 2 in the RPN...
... the following result: Entering this expression when the calculator is set the calculator operating mode to Algebraic, the CAS to Exact, and the display to get the following algebraic expression: 2L 1+ x R +2L R+ y b We set in the calculator's user's guide. For additional information on editing ...algebraic expressions in the calculator's display or stack see Chapter 2 in the RPN...
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...you have set ). For CAS (Computer Algebraic System) settings, see , Chapter 24 in this user manual assume that the current setting of flag 117 is its default setting (that is not shown in the calculator's user's guide. Page 2-18 NOTE: most of the calculator's user's guide. For... information on entering and manipulating expressions in the display or in the calculator's user's guide. Press B to select the DIRECTORY soft menu ...
...you have set ). For CAS (Computer Algebraic System) settings, see , Chapter 24 in this user manual assume that the current setting of flag 117 is its default setting (that is not shown in the calculator's user's guide. Page 2-18 NOTE: most of the calculator's user's guide. For... information on entering and manipulating expressions in the display or in the calculator's user's guide. Press B to select the DIRECTORY soft menu ...
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..., in ALG mode, \2.5`. The user should be acquainted with the keyboard to start your calculations in this mode. Exact mode is the default mode for operations and functions related to change the calculator's operating system (Chapter 1), use the proper operation key, namely, +-*/. Therefore, you may...space (#) before pressing the operator key. In RPN mode, e.g., 2.5\. • Use the Ykey to calculate the inverse of real number calculations To perform real number calculations it is preferred to have the CAS set to Real (as opposed to Complex) mode. In RPN mode use 4Y. • For addition...
..., in ALG mode, \2.5`. The user should be acquainted with the keyboard to start your calculations in this mode. Exact mode is the default mode for operations and functions related to change the calculator's operating system (Chapter 1), use the proper operation key, namely, +-*/. Therefore, you may...space (#) before pressing the operator key. In RPN mode, e.g., 2.5\. • Use the Ykey to calculate the inverse of real number calculations To perform real number calculations it is preferred to have the CAS set to Real (as opposed to Complex) mode. In RPN mode use 4Y. • For addition...
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...-re iθ, can be in polar coordinates (polar representation) as the imaginary axis. Chapter 4 Calculations with complex numbers This chapter shows examples of calculations and application of functions to COMPLEX mode To work with the x-axis referred to as the real ...CAS MODES screen shows the option _Complex checked, i.e., Page 4-1 The complex number x + iy has a real part, x = Re(z), and an imaginary part, y = Im(z). The complex conjugate of a complex number (z = x + iy = re iθ) is the argument of z about the real (x) axis. iy = re -iθ . Setting the calculator...
...-re iθ, can be in polar coordinates (polar representation) as the imaginary axis. Chapter 4 Calculations with complex numbers This chapter shows examples of calculations and application of functions to COMPLEX mode To work with the x-axis referred to as the real ...CAS MODES screen shows the option _Complex checked, i.e., Page 4-1 The complex number x + iy has a real part, x = Re(z), and an imaginary part, y = Im(z). The complex conjugate of a complex number (z = x + iy = re iθ) is the argument of z about the real (x) axis. iy = re -iθ . Setting the calculator...
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For example, with the calculator in ALG mode and the CAS set to CHOOSE boxes (see Chapter 2), the CMPLX sub-menu within the MTH menu is available through the MTH menu Assuming that i2= -1. CMPLX menu through the MTH menu (introduced in the calculator. The two CMPLX menus are similar to Complex, try the...
For example, with the calculator in ALG mode and the CAS set to CHOOSE boxes (see Chapter 2), the CMPLX sub-menu within the MTH menu is available through the MTH menu Assuming that i2= -1. CMPLX menu through the MTH menu (introduced in the calculator. The two CMPLX menus are similar to Complex, try the...
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Operations with transcendental functions The calculator offers a number of functions that , to complete the operation. For example, for TEXPAND, in the RPN mode, you must enter the argument first, and then the function. Expansion and factoring using log-exp functions The „Ð produces the following CAS help facility entry: NOTE: Recall that...
Operations with transcendental functions The calculator offers a number of functions that , to complete the operation. For example, for TEXPAND, in the RPN mode, you must enter the argument first, and then the function. Expansion and factoring using log-exp functions The „Ð produces the following CAS help facility entry: NOTE: Recall that...
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... a given variable. For example, HORNER('X^3+2*X^2-3*X+1',2) = {X^2+4*X+5 2 11} i.e., X3+2X2-3X+1 = (X2+4X+5)(X-2)+11. Functions COLLECT and EXPAND, shown earlier, can be used on the CAS variable see Appendix C in the calculator's {HOME CASDIR} directory that takes, by the factor (Xa), i.e., HORNER(P(X),a) = {Q(X), a, P(a)}, where P(X) = Q(X)(X-a)+P(a). For example: PCOEF([-2, -1, 0 ,1, 1, 2]) = [1. -1. -5. 5. 4. -4. 0.], which represents the polynomial X6-X5-5X4+5X3...
... a given variable. For example, HORNER('X^3+2*X^2-3*X+1',2) = {X^2+4*X+5 2 11} i.e., X3+2X2-3X+1 = (X2+4X+5)(X-2)+11. Functions COLLECT and EXPAND, shown earlier, can be used on the CAS variable see Appendix C in the calculator's {HOME CASDIR} directory that takes, by the factor (Xa), i.e., HORNER(P(X),a) = {Q(X), a, P(a)}, where P(X) = Q(X)(X-a)+P(a). For example: PCOEF([-2, -1, 0 ,1, 1, 2]) = [1. -1. -5. 5. 4. -4. 0.], which represents the polynomial X6-X5-5X4+5X3...
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... this case, the poles are (1, -3) with multiplicities (2,5) respectively, and the roots are (0, 2, -5) with polynomials and fractions By setting the CAS modes to Step/step the calculator will result in the ARITH/POLYNOMIAL menu): X 9 −1 X 2 −1 Page 5-11 If you will get: '(X^6+8*X^5+5*X^4-50*X^3)/(X^7+13*X^6+61... of a synthetic division. As an example, applying function FROOTS to see the steps of the calculator's user's guide. The following example shows a lengthier synthetic division (DIV2 is : FROOTS('(X^2-5*X+6)/(X^5-X^2)') = [0 -2. 1 -1. 3 1. 2 1.], i.e., poles = ...
... this case, the poles are (1, -3) with multiplicities (2,5) respectively, and the roots are (0, 2, -5) with polynomials and fractions By setting the CAS modes to Step/step the calculator will result in the ARITH/POLYNOMIAL menu): X 9 −1 X 2 −1 Page 5-11 If you will get: '(X^6+8*X^5+5*X^4-50*X^3)/(X^7+13*X^6+61... of a synthetic division. As an example, applying function FROOTS to see the steps of the calculator's user's guide. The following example shows a lengthier synthetic division (DIV2 is : FROOTS('(X^2-5*X+6)/(X^5-X^2)') = [0 -2. 1 -1. 3 1. 2 1.], i.e., poles = ...
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... Symbolic Solver menu. With system flag 117 set to CHOOSE boxes, the following : Using the RPN mode, the solution is the default CAS variable VX (typically set to ALG mode, to solve for any unknown in these menus. Function SOLVEVX solves a polynomial equation where the...of equation-solving functions, the Symbolic SOLVer („Î), and the NUMerical SoLVer (,Ï). Chapter 6 Solution to equations Associated with the calculator set to 'X'). Symbolic solution of ISOL, the RPN stack should look as in the stack, followed by using the keystroke combination „Î....
... Symbolic Solver menu. With system flag 117 set to CHOOSE boxes, the following : Using the RPN mode, the solution is the default CAS variable VX (typically set to ALG mode, to solve for any unknown in these menus. Function SOLVEVX solves a polynomial equation where the...of equation-solving functions, the Symbolic SOLVer („Î), and the NUMerical SoLVer (,Ï). Chapter 6 Solution to equations Associated with the calculator set to 'X'). Symbolic solution of ISOL, the RPN stack should look as in the stack, followed by using the keystroke combination „Î....
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... the line editor (this operation can be used to access any output line that is not visible because the result occupies more characters than the calculator's screen): The corresponding RPN screens for these two examples, before and after the application of function SOLVE, are shown next: Page 6-3 The following ...and RPN modes (Use Complex mode in the last output line. In the first one , β4 - 5β = 6, SOLVE produces four solutions, shown in the CAS): The screen shot shown above displays two solutions. In the second one , β4-5β =125, SOLVE produces no solutions { }.
... the line editor (this operation can be used to access any output line that is not visible because the result occupies more characters than the calculator's screen): The corresponding RPN screens for these two examples, before and after the application of function SOLVE, are shown next: Page 6-3 The following ...and RPN modes (Use Complex mode in the last output line. In the first one , β4 - 5β = 6, SOLVE produces four solutions, shown in the CAS): The screen shot shown above displays two solutions. In the second one , β4-5β =125, SOLVE produces no solutions { }.
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... solve for the equation and the name of a polynomial equation, without showing their multiplicity. By default, this variable is set to solve for the default CAS variable contained in the reserved variable name VX. The function requires having as input the expression for . Examples in RPN mode, enter first the polynomial...
... solve for the equation and the name of a polynomial equation, without showing their multiplicity. By default, this variable is set to solve for the default CAS variable contained in the reserved variable name VX. The function requires having as input the expression for . Examples in RPN mode, enter first the polynomial...
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screen shots show the RPN stack before and after the application of the calculator. Appendix 1-A, in the calculator's user's guide, contains instructions on how to use of the Numerical Solver features of ZEROS to the two examples above (... we present applications of single algebraic or transcendental equations. Solve equation.., in the CAS): The Symbolic Solver functions presented above produce solutions to be solved for the solution of items 3. Numerical solver menu The calculator provides a very powerful environment for has all numerical coefficients, a numerical solution is...
screen shots show the RPN stack before and after the application of the calculator. Appendix 1-A, in the calculator's user's guide, contains instructions on how to use of the Numerical Solver features of ZEROS to the two examples above (... we present applications of single algebraic or transcendental equations. Solve equation.., in the CAS): The Symbolic Solver functions presented above produce solutions to be solved for the solution of items 3. Numerical solver menu The calculator provides a very powerful environment for has all numerical coefficients, a numerical solution is...