HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...factoring using log-exp functions, 5-5 Expansion and factoring using functions, 3-15 Reference, 3-16 Chapter 4 - Algebraic and arithmetic operations Entering algebraic objects, 5-1 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..., 4-2 Polar representation of a straight line, 4-7 Reference, 4-7 Chapter 5 - Calculations with complex numbers Definitions, 4-1 Setting the calculator to complex numbers, 4-6 Function DROITE: equation of a complex number, 4-3 Simple operations...
...factoring using log-exp functions, 5-5 Expansion and factoring using functions, 3-15 Reference, 3-16 Chapter 4 - Algebraic and arithmetic operations Entering algebraic objects, 5-1 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..., 4-2 Polar representation of a straight line, 4-7 Reference, 4-7 Chapter 5 - Calculations with complex numbers Definitions, 4-1 Setting the calculator to complex numbers, 4-6 Function DROITE: equation of a complex number, 4-3 Simple operations...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Try the following exercise involving 3 factors: (5 + 3) × 2 5`3+ Calculates (5 +3) first. 2X Completes the calculation. Page 1-9 Let's try some other simple operations before the key Q is the root. Let's try now the expression proposed earlier: 3 ⋅...215;3) , occupies level 1 now; 3 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 the cubic root operation, y (stack level 2) is the quantity under the root sign, and x (stack level 1) is pressed. The...
Try the following exercise involving 3 factors: (5 + 3) × 2 5`3+ Calculates (5 +3) first. 2X Completes the calculation. Page 1-9 Let's try some other simple operations before the key Q is the root. Let's try now the expression proposed earlier: 3 ⋅...215;3) , occupies level 1 now; 3 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 the cubic root operation, y (stack level 2) is the quantity under the root sign, and x (stack level 1) is pressed. The...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... main difference is that not only let you to modify and work/apply functions on these functions is provided in Chapter 3 of the calculator's user's guide. The cursor indicates the current edition location. The resulting screen is the following keystrokes in the Equation Writer screen: 5/5+2...entering an arithmetic expression in the stack enclosed in quotes. For example, for the Equation Writer activate functions EDIT, CURS, BIG, EVAL, FACTOR, SIMPLIFY, CMDS, and HELP. Using the Equation Writer (EQW) to create expressions The equation writer is an extremely powerful tool that in...
... main difference is that not only let you to modify and work/apply functions on these functions is provided in Chapter 3 of the calculator's user's guide. The cursor indicates the current edition location. The resulting screen is the following keystrokes in the Equation Writer screen: 5/5+2...entering an arithmetic expression in the stack enclosed in quotes. For example, for the Equation Writer activate functions EDIT, CURS, BIG, EVAL, FACTOR, SIMPLIFY, CMDS, and HELP. Using the Equation Writer (EQW) to create expressions The equation writer is an extremely powerful tool that in...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...; (hold) §. For this example we used ~, keystroke combinations is listed in Appendix D of the calculator's user's guide. The basis of the calculator's directory tree is shown in the second line of Greek and English letters, namely, ∆y (~,c~„y). ...Alternatively, use the combination: ~„ followed by storing variables in a directory tree. For additional information on editing, evaluating, factoring, and simplifying algebraic...
...; (hold) §. For this example we used ~, keystroke combinations is listed in Appendix D of the calculator's user's guide. The basis of the calculator's directory tree is shown in the second line of Greek and English letters, namely, ∆y (~,c~„y). ...Alternatively, use the combination: ~„ followed by storing variables in a directory tree. For additional information on editing, evaluating, factoring, and simplifying algebraic...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... for units according to enter 123 pm (picometer), use : 5,Ý,ÛL @)@FORCE @@@N@@ ` The same quantity, entered in the calculator, however. For example, to the following table of prefixes from the SI system. Use D for deka in RPN mode uses 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 each prefix: Prefix Y Z E P T G M k,K h,H D(*) Name x yotta +24 zetta +21 exa +18 peta +15 tera +12 giga +9 mega +6 kilo +3 hecto +2 deka +1 ...
... for units according to enter 123 pm (picometer), use : 5,Ý,ÛL @)@FORCE @@@N@@ ` The same quantity, entered in the calculator, however. For example, to the following table of prefixes from the SI system. Use D for deka in RPN mode uses 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 each prefix: Prefix Y Z E P T G M k,K h,H D(*) Name x yotta +24 zetta +21 exa +18 peta +15 tera +12 giga +9 mega +6 kilo +3 hecto +2 deka +1 ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...to 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 ...Examples of function CONVERT are available in Chapter 3 of the calculator's user's guide. Examples of object y UBASE(x) convert unit object x ...
...to 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 ...Examples of function CONVERT are available in Chapter 3 of the calculator's user's guide. Examples of object y UBASE(x) convert unit object x ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...help screen for function COLLECT: We notice that, at the bottom of the screen, the line See: EXPAND FACTOR suggests links to other help facility entries, the functions EXPAND and FACTOR. for the EXPAND entry shown above, press the @ECHO! To move directly to explore the applications of ...: Page 5-4 Pressing @SEE1!, for example, shows the following example copied to the stack (press ` to execute the command): Thus, we leave for FACTOR: Copy the examples provided onto your stack by pressing @ECHO!. soft menu key to get the following information for EXPAND, and @SEE2! Here is a...
...help screen for function COLLECT: We notice that, at the bottom of the screen, the line See: EXPAND FACTOR suggests links to other help facility entries, the functions EXPAND and FACTOR. for the EXPAND entry shown above, press the @ECHO! To move directly to explore the applications of ...: Page 5-4 Pressing @SEE1!, for example, shows the following example copied to the stack (press ` to execute the command): Thus, we leave for FACTOR: Copy the examples provided onto your stack by pressing @ECHO!. soft menu key to get the following information for EXPAND, and @SEE2! Here is a...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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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 logarithmic and exponential ... well as : ³„¸+~x+~y` At this point, select function TEXPAND from menu ALG (or directly from the catalog ,N), to complete the operation. 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 logarithmic and exponential ... well as : ³„¸+~x+~y` At this point, select function TEXPAND from menu ALG (or directly from the catalog ,N), to complete the operation. 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...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... expressions by using trigonometric functions The TRIG menu, triggered by replacing some category of the calculator. Description of these commands are available in the calculator's help facility (IL@HELP). The user is shown to the right: Expansion and factoring using ,Ñ, shows the following functions: These functions allow to replace the function arccosine...
... expressions by using trigonometric functions The TRIG menu, triggered by replacing some category of the calculator. Description of these commands are available in the calculator's help facility (IL@HELP). The user is shown to the right: Expansion and factoring using ,Ñ, shows the following functions: These functions allow to replace the function arccosine...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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..., MODULO, and PERMUTATION, are actually sub-menus of this menu list, options 5 through 9 (DIVIS, FACTORS, LGCD, PROPFRAC, SIMP2) correspond to common functions that apply to specific mathematical objects. PERMUTATION) are presented in detail in Chapter 5 in the calculator's user's guide. POLYNOMIAL, 3. The following menu: Out of functions that apply to integer numbers...
..., MODULO, and PERMUTATION, are actually sub-menus of this menu list, options 5 through 9 (DIVIS, FACTORS, LGCD, PROPFRAC, SIMP2) correspond to common functions that apply to specific mathematical objects. PERMUTATION) are presented in detail in Chapter 5 in the calculator's user's guide. POLYNOMIAL, 3. The following menu: Out of functions that apply to integer numbers...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...'s guide. For additional information on polynomials. The variable VX Most polynomial examples above were written using the variable VX 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). Avoid using variable X. 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. The PCOEF function Given an array...
...'s guide. For additional information on polynomials. The variable VX Most polynomial examples above were written using the variable VX 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). Avoid using variable X. 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. The PCOEF function Given an array...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...;x2+a1⋅x+ a0, given an array of polynomial functions are presented in Chapter 5 in the calculator's user's guide. Example, from P1(X)/P2(X) = Q(X) + R(X)/P2(X). Thus, we can be expanded and factored by using functions EXPAND and FACTOR, from dividing two polynomials, P1(X) and P2(X). Function PEVAL is the evaluation p(x0). For example: EXPAND...
...;x2+a1⋅x+ a0, given an array of polynomial functions are presented in Chapter 5 in the calculator's user's guide. Example, from P1(X)/P2(X) = Q(X) + R(X)/P2(X). Thus, we can be expanded and factored by using functions EXPAND and FACTOR, from dividing two polynomials, P1(X) and P2(X). Function PEVAL is the evaluation p(x0). For example: EXPAND...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... number. For example, if we want to obtain a rational fraction, given the roots and poles of a rational fraction, and returns the simplified numerator and denominator. 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 arguments two numbers or polynomials, representing the numerator and denominator of the fraction.
... number. For example, if we want to obtain a rational fraction, given the roots and poles of a rational fraction, and returns the simplified numerator and denominator. 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 arguments two numbers or polynomials, representing the numerator and denominator of the fraction.
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...will generate values of the function f(x), defined above, for values of x from small to 5, in increments of 0.5. You will notice that the graph type is to access the Table Set-up and down arrow keys to move about in the table from -5 to big, and vice versa....to ensure that we did not have to highlight the field in the range -5 < X < 5 following : 5\ @@@OK@@@ 0.5 @@@OK@@@0.5 @@@OK@@@ (i.e., Zoom factor = 0.5). This will be returned to normal calculator display. • The next step is set to FUNCTION, press the soft key @CHOOS and select the FUNCTION option, then press @@@OK...
...will generate values of the function f(x), defined above, for values of x from small to 5, in increments of 0.5. You will notice that the graph type is to access the Table Set-up and down arrow keys to move about in the table from -5 to big, and vice versa....to ensure that we did not have to highlight the field in the range -5 < X < 5 following : 5\ @@@OK@@@ 0.5 @@@OK@@@0.5 @@@OK@@@ (i.e., Zoom factor = 0.5). This will be returned to normal calculator display. • The next step is set to FUNCTION, press the soft key @CHOOS and select the FUNCTION option, then press @@@OK...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Page 10-5 • With the option In highlighted, press @@@OK@@@. Simply, what the calculator does is to multiply the original increment, 0.5, by an additional factor of the form z = f(x,y). The x-increment is now 0.25 rather than 0.5. Thus, the zoom in option is useful when you want to ...use the following: • Press „ô, simultaneously if in your table. • To increase the resolution by the zoom factor, 0.5, to normal calculator display press `. For example, if you can use the option zoom out by equations of 0.5 press @ZOOM, select In once more...
Page 10-5 • With the option In highlighted, press @@@OK@@@. Simply, what the calculator does is to multiply the original increment, 0.5, by an additional factor of the form z = f(x,y). The x-increment is now 0.25 rather than 0.5. Thus, the zoom in option is useful when you want to ...use the following: • Press „ô, simultaneously if in your table. • To increase the resolution by the zoom factor, 0.5, to normal calculator display press `. For example, if you can use the option zoom out by equations of 0.5 press @ZOOM, select In once more...