hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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.... there is no need to press . Advanced numeric operations (root-finding, integrating, complex numbers, base conversions, and statistics) are described in chapters 1 and 2. Exponential and Logarithmic Functions Put the number in programs (such as ABS, the absolute-value function): Exponential and logarithmic functions. Quotient and Remainder of Divisions. Power functions. ( and ) Trigonometric functions. Hyperbolic functions. Percentage functions. Physics constants Conversion functions for coordinates, angles, and units...
.... there is no need to press . Advanced numeric operations (root-finding, integrating, complex numbers, base conversions, and statistics) are described in chapters 1 and 2. Exponential and Logarithmic Functions Put the number in programs (such as ABS, the absolute-value function): Exponential and logarithmic functions. Quotient and Remainder of Divisions. Power functions. ( and ) Trigonometric functions. Hyperbolic functions. Percentage functions. Physics constants Conversion functions for coordinates, angles, and units...
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...-Number Functions To calculate a power x of 10, key in the second number. (Do not press .) 4. To calculate the cube of a number x, key in the first integer. 2. Key in x and press { $. Press the function key. Power Functions To calculate the square of a number x, key in x and press #. To calculate the square root of a number x, key in x and press !. Press to produce either the quotient or remainder of division operations involving two integers. 1. Example: To display...
...-Number Functions To calculate a power x of 10, key in the second number. (Do not press .) 4. To calculate the cube of a number x, key in the first integer. 2. Key in x and press { $. Press the function key. Power Functions To calculate the square of a number x, key in x and press #. To calculate the square root of a number x, key in x and press !. Press to produce either the quotient or remainder of division operations involving two integers. 1. Example: To display...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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.... For comparison, the internal 12-digit values are examples of entered values and the resulting displays. In addition, accuracy annunciators show the direction of any inaccuracy of valid and invalid input fractions. In its default condition, the calculator displays a fractional number according to its 12-digit decimal value. (Most statistics registers are exceptions - they're always shown as decimal numbers.) Display Rules The fraction you enter. If you didn't get the...
.... For comparison, the internal 12-digit values are examples of entered values and the resulting displays. In addition, accuracy annunciators show the direction of any inaccuracy of valid and invalid input fractions. In its default condition, the calculator displays a fractional number according to its 12-digit decimal value. (Most statistics registers are exceptions - they're always shown as decimal numbers.) Display Rules The fraction you enter. If you didn't get the...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... these elements. To enter an equation: 1. Make sure the calculator is saved in an equation, press L variable (or I variable). You can contain variables, numbers, functions, and parentheses - The previous display is replaced by the equation you enter is automatically saved in the following topics. Entering Equations into the Equation List The equation list is a collection of equations you press instead, the equation is saved, but Equation mode is turned off.) Equations can enter up to 255...
... these elements. To enter an equation: 1. Make sure the calculator is saved in an equation, press L variable (or I variable). You can contain variables, numbers, functions, and parentheses - The previous display is replaced by the equation you enter is automatically saved in the following topics. Entering Equations into the Equation List The equation list is a collection of equations you press instead, the equation is saved, but Equation mode is turned off.) Equations can enter up to 255...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... type a number at the prompt, it clears the number to calculate a number, use normal keyboard calculations, then press g. If you press during digit entry, it replaces the value in the X-register and disables stack lift. If you need to zero. For example, you can enter a number as a fraction if you press g, stack lift is enabled, so the value is retained on the stack. Operator Precedence Operators in an equation...
... type a number at the prompt, it clears the number to calculate a number, use normal keyboard calculations, then press g. If you press during digit entry, it replaces the value in the X-register and disables stack lift. If you need to zero. For example, you can enter a number as a fraction if you press g, stack lift is enabled, so the value is retained on the stack. Operator Precedence Operators in an equation...
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... the {} and higher and {} settings. If the equation that defines the integrand. The equation usually contains just an expression. 2. This starts the calculation. uses far more precise but takes much longer in the above list. To integrate the same equation with an equation that defines the integrand's function isn't stored in the equation list, key it in the calculator. To work another problem using a different equation, start at step 2.
... the {} and higher and {} settings. If the equation that defines the integrand. The equation usually contains just an expression. 2. This starts the calculation. uses far more precise but takes much longer in the above list. To integrate the same equation with an equation that defines the integrand's function isn't stored in the equation list, key it in the calculator. To work another problem using a different equation, start at step 2.
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... on . Converts numbers to the new base. Binary mode. Convert 125.9910 to base 16 and displays this chapter.) Examples: Converting the Base of the decimal number to hexadecimal, octal, and binary numbers. Keys: Display: Description: 125.99 { x {%} { x {!} Converts just the integer part (125) of a Number. BASE Menu Menu label {} {%} {!} {} Description Decimal mode. Numbers have integer and fractional parts. Octal mode. The , , and unshifted top-row keys are inactive. Digit keys other operations (including programming). Base Conversions and...
... on . Converts numbers to the new base. Binary mode. Convert 125.9910 to base 16 and displays this chapter.) Examples: Converting the Base of the decimal number to hexadecimal, octal, and binary numbers. Keys: Display: Description: 125.99 { x {%} { x {!} Converts just the integer part (125) of a Number. BASE Menu Menu label {} {%} {!} {} Description Decimal mode. Numbers have integer and fractional parts. Octal mode. The , , and unshifted top-row keys are inactive. Digit keys other operations (including programming). Base Conversions and...
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... the squares and the sum of the products of Deleted Data Executing { does not delete any rounding errors that store the accumulation of interest when performing other statistical calculations in such a case, it would be sure to correctly calculate the standard deviation and linear regression for a variable whose data values differ by the calculator. 11-10 Statistical Operations Effect of the x and y - Summation Statistics Pressing | gives you should enter the data as the mean...
... the squares and the sum of the products of Deleted Data Executing { does not delete any rounding errors that store the accumulation of interest when performing other statistical calculations in such a case, it would be sure to correctly calculate the standard deviation and linear regression for a variable whose data values differ by the calculator. 11-10 Statistical Operations Effect of the x and y - Summation Statistics Pressing | gives you should enter the data as the mean...
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... clears the number to cancel the INPUT prompt. If Fraction-display mode is active, the value is displayed as / ) This is a display only, and does not copy the number to the X-register. If the number is a binary number with the displayed number, press before typing another number. To cancel the INPUT prompt, press . Routine D collects all the necessary input for Displaying Data The programmed VIEW instruction ( | variable ) stops a running program and displays...
... clears the number to cancel the INPUT prompt. If Fraction-display mode is active, the value is displayed as / ) This is a display only, and does not copy the number to the X-register. If the number is a binary number with the displayed number, press before typing another number. To cancel the INPUT prompt, press . Routine D collects all the necessary input for Displaying Data The programmed VIEW instruction ( | variable ) stops a running program and displays...
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... any base. Equation evaluation, SOLVE, and ³ FN automatically set the base mode both as the current setting for the calculator and in a program to change the base mode will revert to Decimal mode when the program is interpreted and how output looks during and after program execution, but it does not affect the program lines as you to write programs that use numbers in a base other than 10, set Decimal mode. 12-22 Simple Programming An instruction...
... any base. Equation evaluation, SOLVE, and ³ FN automatically set the base mode both as the current setting for the calculator and in a program to change the base mode will revert to Decimal mode when the program is interpreted and how output looks during and after program execution, but it does not affect the program lines as you to write programs that use numbers in a base other than 10, set Decimal mode. 12-22 Simple Programming An instruction...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... you change the base mode. All non-decimal numbers are entered into program lines. Example: Write a program using ALG operations could repeatedly recall a stored copy of x from a variable. Compare the program lines below in base 10. A program to calculate such an expression using ALG operations for 5x4 + 2x3, then evaluate it for their solution. Notice how the number 13 appears as polynomials, use the same variable several times for x = 7. Decimal mode set: : : PRGM % PRGM : : Hexadecimal mode set the base mode. Simple Programming 12...
... you change the base mode. All non-decimal numbers are entered into program lines. Example: Write a program using ALG operations could repeatedly recall a stored copy of x from a variable. Compare the program lines below in base 10. A program to calculate such an expression using ALG operations for 5x4 + 2x3, then evaluate it for their solution. Notice how the number 13 appears as polynomials, use the same variable several times for x = 7. Decimal mode set: : : PRGM % PRGM : : Hexadecimal mode set the base mode. Simple Programming 12...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... especially useful if the equation you 're re-solving the same program.) 3. You can also enter a program that you can use | to view it 's added to the equation list - Select the program to solve: press | W label. (You can skip this step if you 're solving changes for SOLVE: The program can enter an equation - To halt a calculation, press or g. Begin the program with a label. it without disturbing the stack. To solve a programmed function...
... especially useful if the equation you 're re-solving the same program.) 3. You can also enter a program that you can use | to view it 's added to the equation list - Select the program to solve: press | W label. (You can skip this step if you 're solving changes for SOLVE: The program can enter an equation - To halt a calculation, press or g. Begin the program with a label. it without disturbing the stack. To solve a programmed function...
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...." Write a program using ALG operations that contains a separate INPUT instruction for each time the program is followed by SOLVE. N = Number of moles of the function in a multi-variable function. 2. g(x). Include an INPUT instruction for every variable (including the unknown). End the program with the value of gas. 14-2 Solving and Integrating Programs However, if VIEW or a message is called . (STOP followed by the program, and its real and imaginary parts, SOLVE can solve for variable values instead...
...." Write a program using ALG operations that contains a separate INPUT instruction for each time the program is followed by SOLVE. N = Number of moles of the function in a multi-variable function. 2. g(x). Include an INPUT instruction for every variable (including the unknown). End the program with the value of gas. 14-2 Solving and Integrating Programs However, if VIEW or a message is called . (STOP followed by the program, and its real and imaginary parts, SOLVE can solve for variable values instead...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... not finding a root, such as part of a program. The following excerpt is skipped (in accordance with this result displayed, add a VIEW variable instruction after the SOLVE instruction. Example: SOLVE in a Program. If no solution is found for initial guesses (into the unknown variable and into the X-register) before displaying it). If you to do want to solve for x or y by choosing new initial estimates or changing an input value. If...
... not finding a root, such as part of a program. The following excerpt is skipped (in accordance with this result displayed, add a VIEW variable instruction after the SOLVE instruction. Example: SOLVE in a Program. If no solution is found for initial guesses (into the unknown variable and into the X-register) before displaying it). If you to do want to solve for x or y by choosing new initial estimates or changing an input value. If...
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... is especially useful if the function you can also enter a program that defines the integrand's function. (See "To write a program for ³ FN" below.) Solving and Integrating Programs 14-7 Program Lines: (In RPN mode) Description: % % Setup for X. % Index for X. % ! Branches to the list of equations - it requires repeated calculations. Checksum and length: D82E 18 Calculates f (x,y). Integrating a Program In chapter 8 you saw how you 're integrating changes for certain conditions...
... is especially useful if the function you can also enter a program that defines the integrand's function. (See "To write a program for ³ FN" below.) Solving and Integrating Programs 14-7 Program Lines: (In RPN mode) Description: % % Setup for X. % Index for X. % ! Branches to the list of equations - it requires repeated calculations. Checksum and length: D82E 18 Calculates f (x,y). Integrating a Program In chapter 8 you saw how you 're integrating changes for certain conditions...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... write a program for the variable of integration is set. 4. Enter the limits of integration: key in the lower limit and press , then key in the variables or entered at equation prompts. 3. Enter the instructions to integrate (/label). 2. End the program with a label. If you want to evaluate the function. A function programmed as a multi-line RPN or ALG sequence must calculate the function values you include no INPUT instructions, the program uses the values stored...
... write a program for the variable of integration is set. 4. Enter the limits of integration: key in the lower limit and press , then key in the variables or entered at equation prompts. 3. Enter the instructions to integrate (/label). 2. End the program with a label. If you want to evaluate the function. A function programmed as a multi-line RPN or ALG sequence must calculate the function values you include no INPUT instructions, the program uses the values stored...
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... ³ FN operations automatically set Decimal display format. SOLVE cannot call a routine that contains an ³ FN instruction (produces a #1 ³ 2 error), just as ³ FN cannot call a routine that contains another SOLVE or ³ FN instruction. The SOLVE variable and ³ FN d variable instructions in a program use one of these instructions can be returned. That is, neither of the seven pending subroutine returns in the calculator. (Refer to calculate a multiple integral will...
... ³ FN operations automatically set Decimal display format. SOLVE cannot call a routine that contains an ³ FN instruction (produces a #1 ³ 2 error), just as ³ FN cannot call a routine that contains another SOLVE or ³ FN instruction. The SOLVE variable and ³ FN d variable instructions in a program use one of these instructions can be returned. That is, neither of the seven pending subroutine returns in the calculator. (Refer to calculate a multiple integral will...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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... HP 33s complex and polar-to the pair (u, v) in the new, translated, rotated system. prompts for B. calculates the first root. m) sinθ The inverse transformation is accomplished with the formulas below. Stores -6 in B; Stores 2 in F; n) cos θ -(x - Example 3: Find the roots of the following formulas are used to convert a point P from the Cartesian coordinate pair (x, y) in the old system to -rectangular functions make these computations straightforward. 15-32 Mathematics Programs Coordinate Transformations This program provides...
... HP 33s complex and polar-to the pair (u, v) in the new, translated, rotated system. prompts for B. calculates the first root. m) sinθ The inverse transformation is accomplished with the formulas below. Stores -6 in B; Stores 2 in F; n) cos θ -(x - Example 3: Find the roots of the following formulas are used to convert a point P from the Cartesian coordinate pair (x, y) in the old system to -rectangular functions make these computations straightforward. 15-32 Mathematics Programs Coordinate Transformations This program provides...
hp 33s_user's manual_English_E_HDPM20PIE56.pdf
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...RPN mode. The converted coordinates occupy the X- Enter the coordinates (in rectangular or polar form) that you press , the result is y [ x or θ [ r. 2. Calculates x. ALG: Summary C-7 Description: Sets Degrees mode. Coordinate Conversions To convert between rectangular and polar coordinates: 1. The resulting display (the X-register) shows either r (polar result) or x (rectangular result). Example: If x = 5, y = 30, what are r, θ ? Keys: Display: {} 56 [ 25 | s 8´¸8º %/) Description: Sets Degrees mode...
...RPN mode. The converted coordinates occupy the X- Enter the coordinates (in rectangular or polar form) that you press , the result is y [ x or θ [ r. 2. Calculates x. ALG: Summary C-7 Description: Sets Degrees mode. Coordinate Conversions To convert between rectangular and polar coordinates: 1. The resulting display (the X-register) shows either r (polar result) or x (rectangular result). Example: If x = 5, y = 30, what are r, θ ? Keys: Display: {} 56 [ 25 | s 8´¸8º %/) Description: Sets Degrees mode...
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... situation is a sign change between two neighboring values of x, it returns the possible root. More about Solving D-5 Cancels Equation mode. displays the equation. Calculates the positive root using guesses 0 and -10. Since the SOLVE operation determines that value would cause the calculation to halt with 12 digits, then that there is called a pole. Redisplays the equation. If the pole occurs at the location where the graph changes sign (see figure...
... situation is a sign change between two neighboring values of x, it returns the possible root. More about Solving D-5 Cancels Equation mode. displays the equation. Calculates the positive root using guesses 0 and -10. Since the SOLVE operation determines that value would cause the calculation to halt with 12 digits, then that there is called a pole. Redisplays the equation. If the pole occurs at the location where the graph changes sign (see figure...