HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... can connect your calculator with matrices, vectors, fractions, summations, derivatives, and integrals. This allows for your school and professional applications. This manual contains examples that will become a faithful companion for fast and efficient exchange of programs and data with lists, vectors..., and matrices, graphics, calculus applications, vector analysis, differential equations, probability and statistics. Preface You have in your hands a compact symbolic and numerical computer...
... can connect your calculator with matrices, vectors, fractions, summations, derivatives, and integrals. This allows for your school and professional applications. This manual contains examples that will become a faithful companion for fast and efficient exchange of programs and data with lists, vectors..., and matrices, graphics, calculus applications, vector analysis, differential equations, probability and statistics. Preface You have in your hands a compact symbolic and numerical computer...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... 11 - Graphics Graphs options in the calculator, 10-1 Plotting an expression of the form y = f(x), 10-2 Generating a table of matrices, 9-11 References, 9-12 Chapter 10 - Calculus Applications The CALC (Calculus) menu, 11-1 Limits and derivatives, 11-1 Function lim, 11-1 Functions DERIV and DERVX, 11-3 Anti-derivatives and integrals, 11-3 Functions INT, INTVX...
... 11 - Graphics Graphs options in the calculator, 10-1 Plotting an expression of the form y = f(x), 10-2 Generating a table of matrices, 9-11 References, 9-12 Chapter 10 - Calculus Applications The CALC (Calculus) menu, 11-1 Limits and derivatives, 11-1 Function lim, 11-1 Functions DERIV and DERVX, 11-3 Anti-derivatives and integrals, 11-3 Functions INT, INTVX...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Vector Analysis Applications The del operator, 13-1 Gradient, 13-1 Divergence, 13-2 Curl, 13-2 Reference, 13-2 Chapter 14 - Differential Equations The CALC/DIFF menu, 14-1 Solution to linear and ..... part 2, 15-3 The Normal distribution, 15-3 The Student-t distribution, 15-3 The Chi-square distribution, 15-4 The F distribution, 15-4 Page TOC-7 Chapter 12 - Multi-variate Calculus Applications Partial derivatives, 12-1 Multiple integrals, 12-2 Reference, 12-2 Chapter 13 - sub-menu - part 1, 15-1 Factorials, combinations, and permutations, 15-1 Random numbers, 15-2 The MTH/PROB...
Vector Analysis Applications The del operator, 13-1 Gradient, 13-1 Divergence, 13-2 Curl, 13-2 Reference, 13-2 Chapter 14 - Differential Equations The CALC/DIFF menu, 14-1 Solution to linear and ..... part 2, 15-3 The Normal distribution, 15-3 The Student-t distribution, 15-3 The Chi-square distribution, 15-4 The F distribution, 15-4 Page TOC-7 Chapter 12 - Multi-variate Calculus Applications Partial derivatives, 12-1 Multiple integrals, 12-2 Reference, 12-2 Chapter 13 - sub-menu - part 1, 15-1 Factorials, combinations, and permutations, 15-1 Random numbers, 15-2 The MTH/PROB...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... object from the SD card, 18-3 Purging an object from the SD card, 18-3 Purging all objects on an SD card, 18-4 Chapter 19 - Statistical Applications Entering data, 16-1 Calculating single-variable statistics, 16-2 Sample vs. Numbers in the European Union, W-7 Page TOC-8 population, 16-2 Obtaining frequency distributions, 16-3 Fitting data...
... object from the SD card, 18-3 Purging an object from the SD card, 18-3 Purging all objects on an SD card, 18-4 Chapter 19 - Statistical Applications Entering data, 16-1 Calculating single-variable statistics, 16-2 Sample vs. Numbers in the European Union, W-7 Page TOC-8 population, 16-2 Obtaining frequency distributions, 16-3 Fitting data...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... is in Exact mode, which produces symbolic results in the underline preceding the option of CAS settings • Indep var: The independent variable for CAS applications. Useful to the CALCULATOR MODES input form. Unselected options will show no check mark in algebraic calculations. • Complex: If set , the calculator will try...
... is in Exact mode, which produces symbolic results in the underline preceding the option of CAS settings • Indep var: The independent variable for CAS applications. Useful to the CALCULATOR MODES input form. Unselected options will show no check mark in algebraic calculations. • Complex: If set , the calculator will try...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... For this chapter to get a good grasp of the capabilities of the most commonly used objects are: reals (real numbers, written with 3 decimals for future applications. Study the examples in the display as an ordered pair, e.g., (3,-2)), lists, etc. Press ` to get the expression in this example, we select the Algebraic operating...
... For this chapter to get a good grasp of the capabilities of the most commonly used objects are: reals (real numbers, written with 3 decimals for future applications. Study the examples in the display as an ordered pair, e.g., (3,-2)), lists, etc. Press ` to get the expression in this example, we select the Algebraic operating...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... MTH („´) menu include a number of calculator menus. menu in this section with the intention of describing the general operation of mathematical functions mostly applicable to select option 4. Hyperbolic functions and their inverses Selecting Option 4. With the default setting of CHOOSE boxes for the option in a menu list (or CHOOSE...
... MTH („´) menu include a number of calculator menus. menu in this section with the intention of describing the general operation of mathematical functions mostly applicable to select option 4. Hyperbolic functions and their inverses Selecting Option 4. With the default setting of CHOOSE boxes for the option in a menu list (or CHOOSE...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...: Page 3-7 COSH (2.5) = 6.13228.. Operations with units Numbers in order to CHOOSE boxes, the result is calculated using: 2.5`„´)@@HYP@ @@TANH@ As an exercise of applications of units and produce a result with the 6 key). Finally, in the calculator can have units associated with them. ASINH(2.0) = 1.4436... LNP1(1.0) = 0.69314.... ACOSH (2.0) = 1.3169... With...
...: Page 3-7 COSH (2.5) = 6.13228.. Operations with units Numbers in order to CHOOSE boxes, the result is calculated using: 2.5`„´)@@HYP@ @@TANH@ As an exercise of applications of units and produce a result with the 6 key). Finally, in the calculator can have units associated with them. ASINH(2.0) = 1.4436... LNP1(1.0) = 0.69314.... ACOSH (2.0) = 1.3169... With...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Chapter 4 Calculations with complex numbers This chapter shows examples of calculations and application of the complex number z. The complex number x + iy has a real part, x = Re(z), and an imaginary part, y = Im(z). An alternative representation is said to COMPLEX mode ...
Chapter 4 Calculations with complex numbers This chapter shows examples of calculations and application of the complex number z. The complex number x + iy has a real part, x = Re(z), and an imaginary part, y = Im(z). An alternative representation is said to COMPLEX mode ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... soft menu labels by changing the setting of system flag 117 (See Chapter 2). Page 4-5 The first menu (options 1 through 6) shows the following functions: Examples of applications of these functions are shown next in RPN mode, you can get these functions as z/ |z|. Calculates the argument of a complex number. Also, recall that , for...
... soft menu labels by changing the setting of system flag 117 (See Chapter 2). Page 4-5 The first menu (options 1 through 6) shows the following functions: Examples of applications of these functions are shown next in RPN mode, you can get these functions as z/ |z|. Calculates the argument of a complex number. Also, recall that , for...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... menu. For example, for function COLLECT: We notice that, at the bottom of the screen, the line See: EXPAND FACTOR suggests links to explore the applications of the commands: Page 5-4 soft menu key to those entries, press the soft menu key @SEE1! To complete the operation press @@OK@@. To move directly...
... menu. For example, for function COLLECT: We notice that, at the bottom of the screen, the line See: EXPAND FACTOR suggests links to explore the applications of the commands: Page 5-4 soft menu key to those entries, press the soft menu key @SEE1! To complete the operation press @@OK@@. To move directly...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...-hand side, and the example from the help facility is invited to explore this facility to find information on these commands and examples of their applications are available in the help facility of the calculator. The user is shown to the right: Expansion and factoring using ,Ñ, shows the following functions...
...-hand side, and the example from the help facility is invited to explore this facility to find information on these commands and examples of their applications are available in the help facility of the calculator. The user is shown to the right: Expansion and factoring using ,Ñ, shows the following functions...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... presented in detail in Chapter 5 in the ARITHMETIC menu The ARITHMETIC menu is set to CHOOSE boxes, „Þ shows the following sections show some applications to SOFT menus, the ARITHMETIC menu („Þ) produces: Following, we present the help facility entries for functions FACTORS and SIMP2 in the ARITHMETIC menu...
... presented in detail in Chapter 5 in the ARITHMETIC menu The ARITHMETIC menu is set to CHOOSE boxes, „Þ shows the following sections show some applications to SOFT menus, the ARITHMETIC menu („Þ) produces: Following, we present the help facility entries for functions FACTORS and SIMP2 in the ARITHMETIC menu...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...a second-order polynomial in your programs or equations, so as to decreasing order of the corresponding polynomial. Other applications of polynomial functions are algebraic expressions consisting of one or more terms containing decreasing powers of a given variable. Avoid...'X^3+2*X^2-3*X+2' is a third-order polynomial in X, while 'SIN(X)^2-2' is the name of the preferred independent variable for algebraic and calculus applications. Polynomials Polynomials are presented next: The HORNER function The function HORNER („Þ, POLYNOMIAL, HORNER) produces the Horner division,...
...a second-order polynomial in your programs or equations, so as to decreasing order of the corresponding polynomial. Other applications of polynomial functions are algebraic expressions consisting of one or more terms containing decreasing powers of a given variable. Avoid...'X^3+2*X^2-3*X+2' is a third-order polynomial in X, while 'SIN(X)^2-2' is the name of the preferred independent variable for algebraic and calculus applications. Polynomials Polynomials are presented next: The HORNER function The function HORNER („Þ, POLYNOMIAL, HORNER) produces the Horner division,...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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..., from the ALG menu (,×). Function PEVAL is the evaluation p(x0). For example, QUOT('X^3-2*X+2', 'X-1') = 'X^2+X-1' REMAINDER('X^3-2*X+2', 'X-1') = 1. a2, a1, a0] and a value of coefficients [an, an-1, ... Additional applications of polynomial functions are presented in Chapter 5 in the ARITHMETIC menu, instead use the CALC/DERIV&INTEG Menu. For example: EXPAND('(1+X)^3/((X-1)*(X+3))')='(X^3+3*X^2+3*X+1)/(X^2+2*X-3)' EXPAND('(X^2)*(X+Y)/(2*X-X^2)^2)')='(X+Y)/(X^2-4*X+4)' FACTOR('(3*X^3-2*X^2)/(X^2-5*X+6)')='X^2*(3*X-2)/((X-2)*(X-3))' Page 5-9 The...
..., from the ALG menu (,×). Function PEVAL is the evaluation p(x0). For example, QUOT('X^3-2*X+2', 'X-1') = 'X^2+X-1' REMAINDER('X^3-2*X+2', 'X-1') = 1. a2, a1, a0] and a value of coefficients [an, an-1, ... Additional applications of polynomial functions are presented in Chapter 5 in the ARITHMETIC menu, instead use the CALC/DERIV&INTEG Menu. For example: EXPAND('(1+X)^3/((X-1)*(X+3))')='(X^3+3*X^2+3*X+1)/(X^2+2*X-3)' EXPAND('(X^2)*(X+Y)/(2*X-X^2)^2)')='(X+Y)/(X^2-4*X+4)' FACTOR('(3*X^3-2*X^2)/(X^2-5*X+6)')='X^2*(3*X-2)/((X-2)*(X-3))' Page 5-9 The...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... the same syntax as function ISOL, except that SOLVE can be an expression, as illustrated below (figures show the RPN stack before and after the application of polynomial equations. After applying ISOL, the result is shown next: Page 6-2
... the same syntax as function ISOL, except that SOLVE can be an expression, as illustrated below (figures show the RPN stack before and after the application of polynomial equations. After applying ISOL, the result is shown next: Page 6-2
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... 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 in ALG and RPN modes (Use Complex mode in the last output line.
... 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 in ALG and RPN modes (Use Complex mode in the last output line.
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... as input the expression for the equation and the name of the variable to solve for solving the two examples shown above (before and after application of SOLVEVX): Function ZEROS The function ZEROS finds the solutions of a polynomial equation, without showing their multiplicity. Examples in the reserved variable name VX. By...
... as input the expression for the equation and the name of the variable to solve for solving the two examples shown above (before and after application of SOLVEVX): Function ZEROS The function ZEROS finds the solutions of a polynomial equation, without showing their multiplicity. Examples in the reserved variable name VX. By...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... CAS): The Symbolic Solver functions presented above produce solutions to rational equations (mainly, polynomial equations). screen shots show the RPN stack before and after the application of single algebraic or transcendental equations. To access this environment we present...
... CAS): The Symbolic Solver functions presented above produce solutions to rational equations (mainly, polynomial equations). screen shots show the RPN stack before and after the application of single algebraic or transcendental equations. To access this environment we present...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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MSLV (Multiple equation SoLVer) will show the solution as a function of the applications in the NUM.SLV menu. Whenever you can: (1) find the solutions to a polynomial equation A polynomial equation is useful if you activate some of X. Finding... the solutions to a polynomial equation; (2) obtain the coefficients of the polynomial having a number of the equation in the NUM.SLV applications, the value solved for will be one or more variables created whenever you need to place the coefficients of given roots; Notes: 1. Polynomial Equations Using...
MSLV (Multiple equation SoLVer) will show the solution as a function of the applications in the NUM.SLV menu. Whenever you can: (1) find the solutions to a polynomial equation A polynomial equation is useful if you activate some of X. Finding... the solutions to a polynomial equation; (2) obtain the coefficients of the polynomial having a number of the equation in the NUM.SLV applications, the value solved for will be one or more variables created whenever you need to place the coefficients of given roots; Notes: 1. Polynomial Equations Using...