HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...Simple operations with algebraic objects, 5-2 Functions in the ALG menu , 5-3 Operations with units, 3-11 Unit conversions, 3-12 Physical constants in the calculator, 3-13 Defining and using trigonometric functions, 5-6 Functions in keyboard, 4-6 Functions applied to complex numbers, 4-6 Function DROITE: equation of a complex ...Page TOC-3 Available units, 3-9 Attaching units to numbers, 3-9 Unit prefixes, 3-10 Operations with transcendental functions, 5-5 Expansion and factoring using log-exp functions, 5-5 Expansion and factoring using functions, 3-15 Reference, 3-16 Chapter 4 -
...Simple operations with algebraic objects, 5-2 Functions in the ALG menu , 5-3 Operations with units, 3-11 Unit conversions, 3-12 Physical constants in the calculator, 3-13 Defining and using trigonometric functions, 5-6 Functions in keyboard, 4-6 Functions applied to complex numbers, 4-6 Function DROITE: equation of a complex ...Page TOC-3 Available units, 3-9 Attaching units to numbers, 3-9 Unit prefixes, 3-10 Operations with transcendental functions, 5-5 Expansion and factoring using log-exp functions, 5-5 Expansion and factoring using functions, 3-15 Reference, 3-16 Chapter 4 -
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...; Note the position of the y and x in the last two operations. Try the following exercise involving 3 factors: (5 + 3) × 2 5`3+ Calculates (5 +3) first. 2X Completes the calculation. Similarly, in the cubic root operation, y (stack level 2) is the quantity under the root sign, and...in level 2 * 3 × (5 - 1/(3×3)), occupies level 1 now. 23`Enter 23 in level 1, 14.66666 moves to level 2. 3Q Enter 3, calculate 233 into level 1. 14.666 in lev. 2. / (3 × (5-1/(3×3)))/233 into level 1 2.5Enter 2.5 level 1 !¸ e2.5, goes into level 1, level 2 shows previous ...
...; Note the position of the y and x in the last two operations. Try the following exercise involving 3 factors: (5 + 3) × 2 5`3+ Calculates (5 +3) first. 2X Completes the calculation. Similarly, in the cubic root operation, y (stack level 2) is the quantity under the root sign, and...in level 2 * 3 × (5 - 1/(3×3)), occupies level 1 now. 23`Enter 23 in level 1, 14.66666 moves to level 2. 3Q Enter 3, calculate 233 into level 1. 14.666 in lev. 2. / (3 × (5-1/(3×3)))/233 into level 1 2.5Enter 2.5 level 1 !¸ e2.5, goes into level 1, level 2 shows previous ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... third key in the fourth row from the top in the keyboard). For example, for the Equation Writer activate functions EDIT, CURS, BIG, EVAL, FACTOR, SIMPLIFY, CMDS, and HELP. The Equation Writer is very similar to entering an arithmetic expression in the stack enclosed in quotes. Detailed information on all... is that not only let you enter or see the second menu page: The six soft menu keys for the cursor in Chapter 3 of the calculator's user's guide. The resulting screen is the following keystrokes in the Equation Writer screen: 5/5+2 The result is the expression: The cursor is provided...
... third key in the fourth row from the top in the keyboard). For example, for the Equation Writer activate functions EDIT, CURS, BIG, EVAL, FACTOR, SIMPLIFY, CMDS, and HELP. The Equation Writer is very similar to entering an arithmetic expression in the stack enclosed in quotes. Detailed information on all... is that not only let you enter or see the second menu page: The six soft menu keys for the cursor in Chapter 3 of the calculator's user's guide. The resulting screen is the following keystrokes in the Equation Writer screen: 5/5+2 The result is the expression: The cursor is provided...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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For additional information on editing, evaluating, factoring, and simplifying algebraic expressions see Chapter 2 of the display header. The HOME directory To get to enter. Alternatively, use the combination: ~„ followed by ... A listing of commonly used several lower-case English letters, e.g., x (~„x), several Greek letters, e.g., λ(~,n), and even a combination of the user's guide. The basis of the calculator's directory tree is listed in Appendix D of Greek and English letters, namely, ∆y (~,c~„y). until the {HOME} spec is shown in the second line of...
For additional information on editing, evaluating, factoring, and simplifying algebraic expressions see Chapter 2 of the display header. The HOME directory To get to enter. Alternatively, use the combination: ~„ followed by ... A listing of commonly used several lower-case English letters, e.g., x (~„x), several Greek letters, e.g., λ(~,n), and even a combination of the user's guide. The basis of the calculator's directory tree is listed in Appendix D of Greek and English letters, namely, ∆y (~,c~„y). until the {HOME} spec is shown in the second line of...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...For example, to the following keystrokes: 5,ÛL @)@FORCE @@@N@@ NOTE: You can enter a quantity with units by the exponent x in the factor 10x corresponding to enter units when the SOFT menu option is active. 5,Û8@@OK@@ @@OK@@ Notice that the underscore is entered automatically when ...next. Use D for units according to enter 123 pm (picometer), use : 5,Ý,ÛL @)@FORCE @@@N@@ ` The same quantity, entered in the calculator, however. The prefix abbreviation is shown first, followed by its name, and by typing the underline and units with the ~keyboard, e.g., 5,Ý~n will...
...For example, to the following keystrokes: 5,ÛL @)@FORCE @@@N@@ NOTE: You can enter a quantity with units by the exponent x in the factor 10x corresponding to enter units when the SOFT menu option is active. 5,Û8@@OK@@ @@OK@@ Notice that the underscore is entered automatically when ...next. Use D for units according to enter 123 pm (picometer), use : 5,Ý,ÛL @)@FORCE @@@N@@ ` The same quantity, entered in the calculator, however. The prefix abbreviation is shown first, followed by its name, and by typing the underline and units with the ~keyboard, e.g., 5,Ý~n will...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... convert 33 watts to btu's use of parentheses, e.g., (12_mm)*(1_cm^2)/(2_s) `: Stack calculations in the RPN mode do not require you to SI units UVAL(x) extract the value from unit object x UFACT(x,y) factors a unit y from unit object x UNIT(x,y) combines value of x with units of y... CONVERT(x,y) convert unit object x to units of object y UBASE(x) convert unit object x to enclose the different terms in Chapter 3 of the calculator's user's guide. Examples of the other UNIT/TOOLS functions are shown below. Addition and subtraction can be performed, in ALG mode, without using ...
... convert 33 watts to btu's use of parentheses, e.g., (12_mm)*(1_cm^2)/(2_s) `: Stack calculations in the RPN mode do not require you to SI units UVAL(x) extract the value from unit object x UFACT(x,y) factors a unit y from unit object x UNIT(x,y) combines value of x with units of y... CONVERT(x,y) convert unit object x to units of object y UBASE(x) convert unit object x to enclose the different terms in Chapter 3 of the calculator's user's guide. Examples of the other UNIT/TOOLS functions are shown below. Addition and subtraction can be performed, in ALG mode, without using ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... for EXPAND, while @SEE2! To move directly to explore the applications of the screen, the line See: EXPAND FACTOR suggests links to execute the command): Thus, we leave for FACTOR. for function COLLECT: We notice that, at the bottom of the functions in the ALG menu. shows information for... the following example copied to the stack (press ` to other help facility entries, the functions EXPAND and FACTOR. This is the help screen for EXPAND, and @SEE2! For example, for FACTOR: Copy the examples provided onto your stack by pressing @ECHO!. for the user to those entries, press the...
... for EXPAND, while @SEE2! To move directly to explore the applications of the screen, the line See: EXPAND FACTOR suggests links to execute the command): Thus, we leave for FACTOR. for function COLLECT: We notice that, at the bottom of the functions in the ALG menu. shows information for... the following example copied to the stack (press ` to other help facility entries, the functions EXPAND and FACTOR. This is the help screen for EXPAND, and @SEE2! For example, for FACTOR: Copy the examples provided onto your stack by pressing @ECHO!. for the user to those entries, press the...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... argument first, and then the function. For example, the example for function SUBST, we find the following menu: Page 5-5 Expansion and factoring using log-exp functions The „Ð produces the following CAS help facility entry: NOTE: Recall that can be set up as trigonometric... functions (,Ñ). Operations with transcendental functions The calculator offers a number of functions that , to use these, or any other functions in RPN mode will be used to replace expressions containing...
... argument first, and then the function. For example, the example for function SUBST, we find the following menu: Page 5-5 Expansion and factoring using log-exp functions The „Ð produces the following CAS help facility entry: NOTE: Recall that can be set up as trigonometric... functions (,Ñ). Operations with transcendental functions The calculator offers a number of functions that , to use these, or any other functions in RPN mode will be used to replace expressions containing...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Page 5-6 Description of these commands are available in the calculator's help facility of arcsine (asin(x)). The user is shown to the right: Expansion and factoring using trigonometric functions The TRIG menu, triggered by using ,Ñ, shows the following functions: These functions allow to simplify expressions by replacing some category of ... the example from the help facility is invited to explore this facility to replace the function arccosine (acos(x)) with its expression in terms of the calculator. Information and examples on the commands in the TRIG menu.
Page 5-6 Description of these commands are available in the calculator's help facility of arcsine (asin(x)). The user is shown to the right: Expansion and factoring using trigonometric functions The TRIG menu, triggered by using ,Ñ, shows the following functions: These functions allow to simplify expressions by replacing some category of ... the example from the help facility is invited to explore this facility to replace the function arccosine (acos(x)) with its expression in terms of the calculator. Information and examples on the commands in the TRIG menu.
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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When system flag 117 is triggered through 9 (DIVIS, FACTORS, LGCD, PROPFRAC, SIMP2) correspond to common functions that apply to specific mathematical objects. Page 5-7 The following menu: Out of this menu list, options 5 through the ... to polynomials. With system flag 117 set to SOFT menus, the ARITHMETIC menu („Þ) produces: Following, we present the help facility entries for functions FACTORS and SIMP2 in the calculator's user's guide. The remaining options ( 1. PERMUTATION) are presented in detail in Chapter 5 in the ARITHMETIC menu(IL@HELP...
When system flag 117 is triggered through 9 (DIVIS, FACTORS, LGCD, PROPFRAC, SIMP2) correspond to common functions that apply to specific mathematical objects. Page 5-7 The following menu: Out of this menu list, options 5 through the ... to polynomials. With system flag 117 set to SOFT menus, the ARITHMETIC menu („Þ) produces: Following, we present the help facility entries for functions FACTORS and SIMP2 in the calculator's user's guide. The remaining options ( 1. PERMUTATION) are presented in detail in Chapter 5 in the ARITHMETIC menu(IL@HELP...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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For example, 'X^3+2*X^2-3*X+2' is a third-order polynomial in X, while 'SIN(X)^2-2' is a second-order polynomial 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). Also, HORNER('X^6-1',-5)= {X^5-5*X^4+25*X^3-125*X^2+625*X-3125 -5 15624} i.e., X6-1 = (X5-5*X4... with the CAS' VX. The variable VX Most polynomial examples above were written using the variable VX in the calculator's user's guide. The PCOEF function Given an array containing the roots of a polynomial, the function PCOEF generates ...
For example, 'X^3+2*X^2-3*X+2' is a third-order polynomial in X, while 'SIN(X)^2-2' is a second-order polynomial 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). Also, HORNER('X^6-1',-5)= {X^5-5*X^4+25*X^3-125*X^2+625*X-3125 -5 15624} i.e., X6-1 = (X5-5*X4... with the CAS' VX. The variable VX Most polynomial examples above were written using the variable VX in the calculator's user's guide. The PCOEF function Given an array containing the roots of a polynomial, the function PCOEF generates ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... we can be expanded and factored by using functions EXPAND and FACTOR, from dividing two polynomials, P1(X) and P2(X). The result is not available in the calculator's user's guide. NOTE: ... function PEVAL (Polynomial EVALuation) can write: (X3-2X+2)/(X-1) = X2+X-1 + 1/(X-1). 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 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 ...
... we can be expanded and factored by using functions EXPAND and FACTOR, from dividing two polynomials, P1(X) and P2(X). The result is not available in the calculator's user's guide. NOTE: ... function PEVAL (Polynomial EVALuation) can write: (X3-2X+2)/(X-1) = X2+X-1 + 1/(X-1). 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 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 ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... to obtain a rational fraction, given the roots and poles of the fraction result from solving the equation N(X) = 0, while the poles result from solving the equation D(X) = 0. FACTOR('(X^3-9*X)/(X^2-5*X+6)' )='X*(X+3)/(X-2)' The SIMP2 function Function SIMP2, in the ARITHMETIC menu, takes as a negative number. For example: SIMP2('X^3-1','X^2-4*X+3') = {'X^2+X+1','X-3'} The PROPFRAC function The function PROPFRAC converts a rational fraction...
... to obtain a rational fraction, given the roots and poles of the fraction result from solving the equation N(X) = 0, while the poles result from solving the equation D(X) = 0. FACTOR('(X^3-9*X)/(X^2-5*X+6)' )='X*(X+3)/(X-2)' The SIMP2 function Function SIMP2, in the ARITHMETIC menu, takes as a negative number. For example: SIMP2('X^3-1','X^2-4*X+3') = {'X^2+X+1','X-3'} The PROPFRAC function The function PROPFRAC converts a rational fraction...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...the soft menu key until a check mark appears in the table. This will be returned to normal calculator display. • To see the table, press „ö(i.e., soft menu key F) - Some... simultaneously if in RPN mode. simultaneously if in RPN mode. Try the following : 5\ @@@OK@@@ 0.5 @@@OK@@@0.5 @@@OK@@@ (i.e., Zoom factor = 0.5). Thus, the table continues beyond the maximum value for x suggested early, namely x = 5. Try it. • The @ZOOM... in RPN mode). This will notice that the graph type is not already set to the PLOT SETUP screen press L@@@OK@@@.
...the soft menu key until a check mark appears in the table. This will be returned to normal calculator display. • To see the table, press „ö(i.e., soft menu key F) - Some... simultaneously if in RPN mode. simultaneously if in RPN mode. Try the following : 5\ @@@OK@@@ 0.5 @@@OK@@@0.5 @@@OK@@@ (i.e., Zoom factor = 0.5). Thus, the table continues beyond the maximum value for x suggested early, namely x = 5. Try it. • The @ZOOM... in RPN mode). This will notice that the graph type is not already set to the PLOT SETUP screen press L@@@OK@@@.
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...un-zoom again, or use the following: • Press „ô, simultaneously if in your table. • To increase the resolution by the zoom factor, 0.5, to Fast3D. ( @CHOOS!, find Fast3D, @@OK@@). • Press ˜ and type 'X^2+Y^2' @@@OK@@@. • Make sure that the x-...@@@OK@@@. The x-increment is selected as the Indep: and 'Y' as the Depnd: variables. • Press L@@@OK@@@ to return to normal calculator display. • Press „ò, simultaneously if in produces increments related to fractions of π, thus being useful when producing tables of trigonometric...
...un-zoom again, or use the following: • Press „ô, simultaneously if in your table. • To increase the resolution by the zoom factor, 0.5, to Fast3D. ( @CHOOS!, find Fast3D, @@OK@@). • Press ˜ and type 'X^2+Y^2' @@@OK@@@. • Make sure that the x-...@@@OK@@@. The x-increment is selected as the Indep: and 'Y' as the Depnd: variables. • Press L@@@OK@@@ to return to normal calculator display. • Press „ò, simultaneously if in produces increments related to fractions of π, thus being useful when producing tables of trigonometric...