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HP 33s RPN/ALG Scientific Calculator Owner’s Manual HP Part No. F2216-90020 Printed in China Edition 1 File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Hewlett–Packard Co. is also prohibited. 4995, Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Printing History Edition 1 November 2003 File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Range of Numbers and OVERFLOW ......1–16 Doing Arithmetic .............1–16 One–Number Functions..........1–17 Two–Number Functions ..........1–17 Controlling the Display Format ..........1–18 Periods and Commas in Numbers ........1–18 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Chain Calculations in RPN mode ........2–10 Work from the Parentheses Out ........2–10 Exercises..............2–12 Order of Calculation ..........2–13 More Exercises ............2–14 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Hyperbolic Functions............4–6 Percentage Functions............4–6 Physics Constants ..............4–8 Conversion Functions ............4–9 Coordinate Conversions ..........4–10 Time Conversions ............4–12 Angle Conversions.............4–13 Unit conversions ............4–13 Probability Functions............4–14 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Variables in Equations ..........6–4 Numbers in Equations ..........6–5 Functions in Equations..........6–5 Parentheses in Equations ..........6–6 Displaying and Selecting Equations ........6–6 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Accuracy of Integration ............8–5 Specifying Accuracy ............8–6 Interpreting Accuracy ...........8–6 For More Information ............8–8 Operations with Complex Numbers The Complex Stack............9–1 Complex Operations ............9–2 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The Statistics Registers in Calculator Memory ....11–12 Access to the Statistics Registers ........ 11–12 Programming Part 2. Simple Programming Designing a Program ............12–3 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The Catalog of Programs (MEM)........ 12–20 Clearing One or More Programs ....... 12–21 The Checksum............12–21 Nonprogrammable Functions .......... 12–22 Programming with BASE..........12–22 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Using SOLVE in Program..........14–5 Integrating a Program............14–7 Using Integration in a Program ........14–10 Restrictions on Solving and Integrating ......14–11 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The Self–Test..............A–5 Warranty ................ A–6 Service ................A–7 Regulatory information ............A–9 User Memory and the Stack Managing Calculator Memory ..........B–1 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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How SOLVE Finds a Root ........... D–1 Interpreting Results ............D–2 When SOLVE Cannot Find a Root ........D–8 Round–Off Error ............. D–14 Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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How the Integral Is Evaluated..........E–1 Conditions That Could Cause Incorrect Results ....... E–2 Conditions That Prolong Calculation Time ......E–7 Messages Operation Index Index Contents File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Display contrast depends on lighting, viewing angle, and the contrast setting. To Å Ù Ã increase or decrease the contrast, hold down the key and press 1–1 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
) before pressing the key for the desired function. For example, to turn the º Å calculator off, press and release the shift key, then press 1–2 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
One of the first things you need to know is how to clear: how to correct numbers, clear the display, or start over. 1–3 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Clears the displayed number to zero or cancels the current situation (such as a menu, a message, a prompt, a catalog, or Equation–entry or Program–entry mode). 1–4 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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If you are viewing a completed equation, the equation is deleted with no verification. 1–5 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Using Menus There is a lot more power to the HP 33s than what you see on the keyboard. This is because 14 of the keys are menu keys. There are 14 menus in all, which provide many more functions, or more options for more functions.
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HP 33s Menus Menu Menu Chapter Name Description Numeric Functions ˆ ˆ L.R. Linear regression: curve fitting and linear estimation. Arithmetic mean of statistical x– and y–values; weighted mean of statistical x–values.
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HP 33s Menus (continued) Menu Menu C h a p t e r N a m e Description Other functio ns 1, 3, 12 Memory status (bytes of memory available); catalog of variables; catalog of programs (program labels).
In RPN mode and algebraic mode, the results of all calculations are listed. However, in RPN mode only the results are listed, not the calculations. 1–10 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
The symbols on the display, shown in the above figure, are called annunciators. Each one has a special significance when it appears in the display. 1–11 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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HP 33s Annunciators Annunciator Meaning Chapter á á The " (Busy)" annunciator blinks while an operation, equation, or program is executing. ¹ When in Fraction–display mode (press É ), only one of the " " or " " halves of the "...
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HP 33s Annunciators (continued) Annunciator Meaning Chapter Ö Õ When the keys are active to 1, 6 scroll the display, i.e. there are more digits to the left and right. º Î to see the rest of a decimal number; use the left and right–cursor keys Ö...
Rounds number to fit the display format. Ï .000042 Automatically uses scientific notation because otherwise no significant digits would appear. 1–14 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Keys: Display: Description: _ Digit entry not terminated: the number 1–15 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
All calculations can be simplified into one–number functions and/or two–number functions. 1–16 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
3. Key in the second number. (Do not press 4. Press the function key. (For a shifted function, press the appropriate shift key first.) 1–17 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
For example, the number one million looks like: if you press { } or if you press { }. 1–18 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
SCI 4 display mode. The "5" following the "E" is the exponent of 10: 1.2346 × 10 1–19 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
For example, in the number 14.8745632019, you see only "14.8746" when the display mode is set to FIX 4, but the last six digits ("632019") are present internally in the calculator. 1–20 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Î release Fractions The HP 33s allows you to type in and display fractions, and to perform math operations on them. Fractions are real numbers of the form. a b/c where a, b, and c are integers; 0 ≤ b ≤ c; and the denominator (c) must be in the range 2 through 4095.
(FIX 4). Displaying Fractions ¹ É Press to switch between Fraction–display mode and the current decimal display mode. 1–22 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Binary mode). All displayed messages are explained in appendix F, "Messages." Calculator Memory The HP 33s has 31K bytes of memory in which you can store any combination of data (variables, equations, or program lines). 1–23 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc...
{ } { }, which safeguards against the unintentional clearing of memory. 2. Press { } (yes). 1–24 Getting Started File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
What the Stack Is Automatic storage of intermediate results is the reason that the HP 33s easily processes complex calculations, and does so without parentheses. The key to automatic storage is the automatic, RPN memory stack.
"rolling" the contents downward, one register at a time. You can see each number when it enters the X–register. 2–2 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Y–register. For example, converts rectangular coordinates in the X– and Y–registers into polar coordinates in the X– and Y–registers. 2–3 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Z–register, and that the former contents of the T–register are lost. You can see, therefore, that the stack's memory is limited to four numbers. 2–4 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
You can use the replicating feature of to other advantages. To add a Ï Ù number to itself, press 2–5 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Å cancels program entry. During digit entry, backspaces over the displayed number. 2–6 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
See appendix B for a comprehensive list of the functions that save x in the LAST X register. 2–7 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Suppose you made a mistake while calculating 16 × 19 = 304 There are three kinds of mistakes you could have made: 2–8 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
96.704 Y 96.704 96.704 96.704 52.3 947 52.3947 149.0987 LAST X 52.3947 149.0987 2.8457 52.3947 LAST X 52.3947 52.3947 2–9 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
If you were working out this problem on paper, you would first calculate the intermediate result of (12 + 3) ... 2–10 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(12 + 3) = 1 5 … then you would multiply the intermediate result by 7: (15) × 7 = 105 Solve the problem in the same way on the HP 33s, starting inside the parentheses: Keys: Display: Description: Ï...
(5 + 6). Finally, you would multiply the two intermediate results to get the answer. Work through the problem the same way with the HP 33s, except that you don't have to write down intermediate answers—the calculator remembers them for you.
(or results) will be needed at one time (the stack can hold no more than four numbers). 2–13 RPN: The Automatic Memory Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Storing Data into Variables The HP 33s has 31K bytes of user memory: memory that you can use to store numbers, equations, and program lines. Numbers are stored in locations called variables, each named with a letter from A through Z. (You can choose the letter to remind you of what is stored there, such as B for bank balance and C for the speed of light.)
Clears the number in the display. _ Prompts for variable. Copies Avogadro's numbers from A the display. 3–2 Storing Data into Variables File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
. (If it is a binary number with more than 12 digits, use the Ö Õ keys to see the rest.) 3–3 Storing Data into Variables File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
X–register and does not affect the stack. New value of variable = Previous value of variable {+, –, ×, ÷} x. 3–4 Storing Data into Variables File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Suppose the variables D, E, and F contain the values 1, 2, and 3. Use storage arithmetic to add 1 to each of those variables. 3–5 Storing Data into Variables File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Display: Description: Stores 12 in variable A. _ Displays x. º v Exchanges contents of the 3–6 Storing Data into Variables File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(i) function. This is a programming technique called indirect addressing that is covered under "Indirectly Addressing variables and labels" in chapter 13. 3–7 Storing Data into Variables File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Exponential and Logarithmic Functions Put the number in the display, then execute the function — there is no need to press Ï 4–1 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
To calculate the cube root of a number x, key in x and press ¹ ! To calculate a power x of 10, key in x and press 4–2 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Note that the calculator cannot exactly represent π, since π is an irrational number. 4–3 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
For example, the calculated –13 sin π (radians) is not zero but –2.0676 × 10 , a very small number close to zero. 4–4 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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θ by a rectangular to polar conversion, which converts (x,y) to (r,θ). See "Coordinate Conversions" later in this chapter. 4–5 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Display: Description: Þ { } 2 Rounds display to two decimal places. Ï 15.76 Calculates 6% tax. 4–6 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The order of the two numbers is important for the %CHG function. Note The order affects whether the percentage change is considered positive or negative. 4–7 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Conversion Functions There are four types of conversions: coordinate (polar/rectangular), angular (degrees/radians), time (decimal/minutes–seconds), and unit (cm/in, °C/°F, l/gal, Kg/lb). 4–9 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
3. The resulting display (the X–register) shows either r (polar result) or x θ (rectangular result). Press to see or y. y, x θ θ r y, x θ 4–10 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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, in degrees. When the values are converted to rectangular coordinates, the x–value yields R, in ohms; the y–value yields X , in ohms. 4–11 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
1. Key in the angle (in decimal degrees or radians) that you want to convert. º µ ¹ ´ 2. Press . The result is displayed. Unit conversions The HP 33s has eight unit–conversion functions on the keyboard: ºC, ºF, gal. To Convert: Press: Displayed Results: ¹...
It passes the spectral test of D. Knuth, Seminumerical Algorithms, vol. 2, London: Addison Wesley, 1981.) 4–14 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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X–register. ¯ Divides combinations of women by total combinations to find probability that any one combination would have all women. 4–15 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(The internal number is represented by 12 digits.) Refer to chapter 5 for the behavior of RND in Fraction–display mode. 4–16 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
. "SIN" is the name of the function as it will appear in program lines (and usually in equations also). 4–17 Real–Number Functions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Enters 1 ¹ É Displays x as a decimal number. ¹ É Displays x as a fraction. 5–1 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
These are examples of entered values and the resulting displays. For comparison, the internal 12–digit values are also shown. The annunciators in the last column are explained below. 5–2 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
"a little above" the displayed numerator, and means the exact numerator is "a little below". 0 7/16 0 7/16 0 7/16 (0.40625) (0.43750) (0.46875) 5–3 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Shows all decimal digits.. Stores value in A. º È Views A.. Å Å Clears x. 5–4 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(/c value is 4095). This is the default fraction format. 5–5 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Examples of Fraction Displays The following table shows how the number 2.77 is displayed in the three fraction formats for two /c values. 5–6 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Enters the starting value. Ë Ë Ã Subtracts the change. Finds the 85–percent value to the nearest 5–7 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
7, 8, and 9. Setting flag 7 turns on Fraction–display mode — ¹ É isn't programmable. See "Flags" in chapter 13. See chapters 12 and 13 for information about working with programs. 5–9 Fractions File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Entering and Evaluating Equations How You Can Use Equations You can use equations on the HP 33s in several ways: For specifying an equation to evaluate (this chapter). For specifying an equation to solve for unknown values (chapter 7). For specifying a function to integrate (chapter 8).
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L. ¥ Stores L; calculates V in cubic inches and stores the result in V. 6–2 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(bytes of memory). Å Leaves Equation mode. You can also use equations in programs — this is discussed in chapter 12. 6–3 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
, the A..Z annunciator shows that you can press a variable key to enter its name in the equation. 6–4 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
The cursor changes back when you press a nonnumeric key. Functions in Equations You can enter many HP 33s functions in an equation. A complete list is given under “Equation Functions” later in this chapter. Appendix G, "Operation Index,"...
. This activates Equation mode and turns on the EQN annunciator. The display shows an entry from the equation list: 6–6 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
You can edit or clear an equation that you're typing. You can also edit or clear equations saved in the equation list. 6–7 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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. Example: Editing an Equation. Remove 25 in the equation from the previous example. 6–8 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Å Leaves Equation mode. Types of Equations The HP 33s works with three types of equations: Equalities. The equation contains an "=", and the left side contains more than just a single variable. For example, x is an equality.
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"=" in an equation essentially treated as "_". The value is a measure of how well the equation balances. Ï The HP 33s has two keys for evaluating equations: . Their actions differ only in how they evaluate assignment equations: returns the value of the equation, regardless of the type equation.
Stores L in millimeters; ¸ ¥ calculates V in cubic millimeters, stores the result in V, and displays V. 6–11 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
The prompt gives the variable name and its current value, such as . ¥ To leave the number unchanged, just press 6–12 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Operator Precedence Operators in an equation are processed in a certain order that makes the evaluation logical and predictable: 6–13 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(1 – f) must be entered as , with the " " operator inserted between P and the left parenthesis. 6–14 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
"subtraction" ( ). For a number, use à For a variable, use parentheses and . These are valid equations: 6–15 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Perimeter = a + b + h ( θ φ φ θ The following equation obeys the syntax rules for HP 33s equations: 6–16 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8...
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¸ h ¸ n º j ¯ h º | ¯ k º j ¯ h º | Ï 6–17 Entering and Evaluating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(See "Editing and Clearing Equations" earlier in this chapter.) By not checking equation syntax until evaluation, the HP 33s lets you create "equations" that might actually be messages. This is especially useful in programs, as described in chapter 12.
X to solve for x. The equation then prompts for a value for every other variable in the equation. 3. For each prompt, enter the desired value: 7–1 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Starts the equation. ¸ h Ù ¸ h ¸ h _ Ï Terminates the equation 7–2 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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¥ Retains 0 in V; prompts for G. ¥ Retains 9.8 in G; solves for T. 7–3 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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R. ¥ .0821 Stores .0821 in R; value prompts for T. Ï Ù 273.1 Calculates T (Kelvins). 7–4 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Through successive iterations, SOLVE finds a value for the unknown that makes the value of the equation equal to zero. 7–5 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
If the X– and Y–register values are close together, and the Z–register value is close to zero, the estimate from the X–register may be an approximation to a root. 7–6 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
T and solved for D. The value that was left in T was a good (realistic) one, so it was used as a guess when solving for T . 7–7 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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V= ( 40 – H ) × ( 20 – H ) × 4 × H 7–8 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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— by looking at the value of the previous estimate of the root (in the Y–register) and the value of the equation at the root (in the Z–register). 7–9 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The plot of the value of this equation looks like this. 7500 _ (40 _ ) (20 _ ) 4 20,000 _ 10 _ 10,000 7–10 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
SOLVE works, how to interpret results, what happens when no solution is found, and conditions that can cause incorrect results. 7–11 Solving Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
∫ a specified variable ( d_). The function may have more than one variable. " works only with real numbers. 8–1 Integrating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Example: Bessel Function. The Bessel function of the first kind of order 0 can be expressed as π ∫ cos( π 8–2 Integrating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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∫ calculates result for π ∫ ) (t º j ¯ The final result for J (2). 8–3 Integrating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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8–4 Integrating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Rolls down the limits of integration from the Z–and T–registers into the X–and Y–registers. º d Displays the current Equation. 8–6 Integrating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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1/100 as large as the uncertainty of the SCI 2 result calculated previously. Þ { } 4 Restores FIX 4 format. 8–7 Integrating Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
For More Information This chapter gives you instructions for using integration in the HP 33s over a wide range of applications. Appendix E contains more detailed information about how the algorithm for integration works, conditions that could cause incorrect results, conditions that prolong calculation time, and obtaining the current approximation to an integral.
Ï 2. Press 3. Type the real part. Complex numbers in the HP 33s are handled by entering each part (imaginary and real) of a complex number as a separate entry. To enter two complex numbers, ¹ c you enter four separate numbers. To do a complex operation, press before the operator.
1. Enter the complex number z, composed of x + i y, by keying in y 2. Select the complex function. 9–2 Operations with Complex Numbers File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Here are some examples of trigonometry and arithmetic with complex numbers: Evaluate sin (2 + i 3) Keys: Display: Description: Ï Result is 9.1545 – i 9–3 Operations with Complex Numbers File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Completes entry of second number and then multiplies the two complex numbers. Result is 11.7333 – i 3.8667. 9–4 Operations with Complex Numbers File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Many applications use real numbers in polar form or polar notation. These forms use pairs of numbers, as do complex numbers, so you can do arithmetic with these numbers by using the complex operations. Since the HP 33s's complex operations work on numbers in rectangular form, convert polar form to rectangular form º...
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¹ c Ù Adds L ¹ ° Converts vector back to polar form; displays r, θ 9–6 Operations with Complex Numbers File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Converts just the integer part { } (125) of the decimal number to base 16 and displays this value. 10–1 Base Conversions and Arithmetic File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
If a number has a fractional part, only the integer part is used for an arithmetic calculation. The result of an operation is always an integer (any fractional portion is truncated). 10–2 Base Conversions and Arithmetic File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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¹ ¶ { } Result in hexadecimal base. ¹ ¶ { } Restores decimal base. 10–3 Base Conversions and Arithmetic File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Each 12–digit display of a long number is called a window. 36 - bit number Highest window Lowest window (displayed) 10–5 Base Conversions and Arithmetic File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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( ) to view the obscured window. Press to displayed Press to displayed left window right window 10–6 Base Conversions and Arithmetic File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Statistical Operations The statistics menus in the HP 33s provide functions to statistically analyze a set of one– or two–variable data: Mean, sample and population standard deviations. y ˆ x ˆ Linear regression and linear estimation ( Weighted mean (x weighted by y).
Even if only one value of an x, y–pair is incorrect, you must delete and reenter both values. To correct statistical data: 11–2 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Ï Reenters the first data pair. There is still a total of two data pairs in the statistics registers. 11–3 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
She randomly picks six people, observes each one as he or she carries out the process, and records the time required (in minutes): 11–4 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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º ( Calculates the mean price weighted for the quantity purchased. 11–5 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
{σ } for the population standard deviation of the x–values. º + Press {σ } for the population standard deviation of the y–values. 11–6 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
{ } Slope of the calculated line. { } y–intercept of the calculated line. 11–7 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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¹ ¡ { } Clears all, previous statistical data. Ï 4.63 Enters data; displays n. Ï 5.78 11–8 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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What if 70 kg of nitrogen fertilizer were applied to the rice field ? Predict the grain yield based on the above statistics. 11–9 Statistical Operations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Refer to "Managing Calculator Memory" in appendix B. Access to the Statistics Registers The statistics register assignments in the HP 33s are shown in the following table. Statistics Registers Register...
Rather than repeat the given keystrokes each time (varying only the "5" for the different radii), you can put the repeatable keystrokes into a program: 12–1 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The answer! We will continue using the above program for the area of a circle to illustrate programming concepts and methods. 12–2 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
However, adjacent programs need a label between them to keep them distinct. Program Returns Programs and subroutines should end with a return instruction. The keystrokes are: º Ô 12–3 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
For input, you can prompt for a variable with the INPUT instruction, you can get an equation to prompt for its variables, or you can take values entered in advance onto the stack. 12–4 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
5. End the program with a return instruction, which sets the program pointer back º Ô to after the program runs. Press Å ¹ £ 6. Press ) to cancel program entry. 12–5 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
This fuller name appears briefly in the display whenever you execute a function — as long as you hold down the key, the name is displayed. 12–6 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Å Å Cancels program entry (PRGM annunciator off). A different checksum means the program was not entered exactly as given here. 12–7 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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º Î Checksum and length of equation. Å Å Cancels program entry. 12–8 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
1. As for regular execution, make sure program entry is not active (PRGM annunciator off). 12–9 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(release) π Ø (hold) (release) Ø (hold) End of program. Result is correct. (release) 12–10 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
"R" is the variable's name, " ? " is the prompt for information, and 0.0000 is the current value stored in the variable. 12–11 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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12–12 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
This is a display only, and does not copy the number to the X–register. If Fraction–display mode is active, the value is displayed as a fraction. Ï Pressing copies this number to the X–register. 12–13 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
You can then use Ö to scroll the display. If you don't want the program to stop, see "Displaying Information without Stopping" below. 12–14 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Stores the surface area in S. º · { } Sets flag 10 to display Ë equations. 12–15 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Prompts for H. ¥ Message displayed. ¥ Volume in cm ¥ Surface area in cm 12–16 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
VIEW instruction or an equation that's displayed (flag 10 set), the variable or equation is displayed instead — and the display remains after the 1–second pause. 12–17 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
. The pointer then moves to the preceding line. (If you are deleting more than one consecutive program line, start with the last line in the group.) 12–18 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
While program entry is active, there are three ways to change the program pointer (the displayed line): 12–19 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Delete specific programs. (Press while the label is displayed.) º See the checksum associated with a given program segment. (Press Î 12–20 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
3. Press and hold to display checksum and length. For example, to see the checksum for the current program (the "cylinder" program): 12–21 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
In addition, each equation in a program has a checksum. See "To enter an equation in a program line" earlier in this chapter. Nonprogrammable Functions The following functions of the HP 33s are not programmable: ¹ ¡ ¹ r Ë Ë...
Fills the stack with x. Ï Ï Ï ¸ 12–24 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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A more general form of this program for any equation (((Ax + B)× + C)× + D)× + E would be: 12–25 Simple Programming File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
A routine typically starts with a label (LBL) and ends with an instruction that alters or stops program execution, such as RTN, GTO, or STOP, or perhaps another label. 13–1 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(a nested subroutine), labeled Q, to do the repetitive squaring and addition. This saves memory by keeping the program shorter than it would be without the subroutine. 13–3 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Unconditional branching uses the GTO (go to) instruction to branch to a program label. It is not possible to branch to a specific line number during a program. 13–4 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
¹ r You can use to move the program pointer to a specified label or line number without starting program execution. 13–5 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
There are three categories of conditional instructions: Comparison tests. These compare the X–and Y–registers, or the X–register and zero. 13–6 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
. Example: The "Normal and Inverse–Normal Distributions" program in chapter 16 uses the x<y ? conditional in routine T: 13–7 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Meanings of Flags The HP 33s has 12 flags, numbered 0 through 11. All flags can be set, cleared, and tested from the keyboard or by a program instruction. The default state of all 12 flags is clear.
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VIEW statement: 1. Program execution halts. 2. The program pointer moves to the next program line. 13–9 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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5 through 11. These statuses of these flags can be determined by executing the FS ? instruction from the keyboard. (See "Using Flags" below.) 13–10 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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X– and Y–inputs for a Straight–line model curve. Line L0003 sets flag 0 so that line W0007 takes the natural log of the X–input for a Logarithmic–model curve. 13–11 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Note that lines S0003, S0004, L0004, and E0003 clear flags 0 and 1 to ensure that they will be set only as required for the four curve models. 13–12 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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If flag 1 is set ... ... takes the natural log of the Y–input. . 13–13 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Ï 3. Press to insert the message in the current program line and end Equation–entry mode. 13–14 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Displays message, then shows the fraction. Goes to beginning of program. Checksum and length: 34AA 120 13–15 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
For example, the following routine uses a loop to diminish a value A by a constant amount B until the resulting A is less than or equal to B. 13–17 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
These functions accomplish the same thing as a FOR–NEXT loop in BASIC: variable = initial–value final–value increment variable 13–18 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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> program line if this ccccccc fff. 13–19 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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º È Press Z to see that the loop–control number is now 11.0100. 13–20 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
ISG i ∫ STO +,–, × ,÷ i FN d i x < > i RCL +,–, × ,÷ i SOLVE i 13–21 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
The functions listed below can use (i) as an address. For GTO, XEQ, and FN=, (i) refers to a label; for all other functions (i) refers to a variable or register. 13–22 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Line Y0003 calls the subroutine to compute x ˆ and line Y0008 calls a different subroutine to compute after i has been increased by 6: 13–23 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The next routine is L, a loop to collect all 12 known values for a 3 × 3 coefficient matrix (variables A – I ) and the three constants ( J – L ) for the equations. 13–24 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
means variable i. The following program uses an equation to find the sum of the squares of variables A through Z. 13–25 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Branches for next variable. Ends program. Checksum and length of program: E005 23 13–26 Programming Techniques File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
1. Begin the program with a label. This label identifies the function that you want SOLVE to evaluate ( label). 14–1 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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R = The universal gas constant (0.0821 liter–atm/mole–K or 8.314 J/mole–K). T = Temperature (kelvins; K = °C + 273.1). 14–2 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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SOLVE evaluates to find the value of the unknown variable. Û Selects P; prompts for V. value 14–3 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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º Ô Ends the program. Å Cancels Program–entry mode. Checksum and length of program: 36FF 21 14–4 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
X–register) before executing the SOLVE variable instruction. The two instructions for solving an equation for an unknown variable appear in programs label variable 14–5 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The following excerpt is from a program that allows you to solve for x or y by pressing X or Y. 14–6 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
To integrate a programmed function: 1. Enter a program that defines the integrand's function. (See "To write a ∫ program for FN" below.) 14–7 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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If you want the equation to prompt for variable values instead of including INPUT instructions, make sure flag 11 is set. 14–8 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Integrates function from 0 to 2; ∫ displays result. Ý { } Restores Degrees mode. 14–9 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Specifies the function. ∫ Integrates the normal function using the dummy variable D. 14–10 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(Refer to "Nested Subroutines" in chapter 13.) ∫ The SOLVE and FN operations automatically set Decimal display format. 14–11 Solving and Integrating Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
X = R sin(P) cos(T) Y = R sin(P) sin(T) T = arctan (Y/X) Z = R cos(P) P = arctan 15–1 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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=U i + V j + W k The vector displayed by the input routines (LBL P and LBL R) is V 15–2 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Displays or accepts input of P. θ Calculates R cos(P) and R sin(P). 15–3 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Loops back for polar conversion and display/input. Checksum and length: CE3C 33 Defines beginning of vector–addition routine. 15–4 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Calculates (ZU – WX), which is the Y component. 15–5 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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θ Calculates the magnitude of the U, V, W vector. 15–6 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Add vectors by pressing b. Subtract vector one from vector two by pressing c. Compute the cross product by pressing 15–7 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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North, 7.3 kilometers East and 0.76 kilometers below. Use the rectangular to polar conversion capability to find the total distance and the direction to the transmitter. 15–8 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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? What is the angle between the resultant of the force vectors and the lever ? 15–9 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Sets P equal to 74. Adds the vectors and displays the resultant R. ¥ Displays T of resultant vector. 15–10 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Display: Description: (In RPN mode) Starts polar input routine. ¥ Defines the radius as one unit vector. 15–11 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Specifics regarding the inversion process are given in the comments for the inversion routine, I. 15–12 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Calculates F' × determinant = CD – AF. 15–13 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Sets index value to point, to last clement in first row. Sets index value to point to last element in second 15–15 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Returns to the calling program. Checksum and length: 7F00 24 This routine calculates the determinant. 15–16 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(A × F × H) – (D × B × I). Returns to the calling program or to . Checksum and length: 7957 75 Flags Used: None. 15–17 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
To solve a fourth–order polynomial, it is first necessary to solve the resolvant cubic polynomial: y + b where b = – a – 4a 15–20 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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≥ 0, the roots are real; if d < 0, the roots are If the discriminant d = (a – a ± − ± − complex, being 15–21 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Checksum and length: 2582 21 Starts solver setup routine. Stores location of coefficients to use. 15–22 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Calculates – a /2 – Calculates – a /2 + 15–23 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Calculates a Stores a Displays real root of fifth–order polynomial. 15–24 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Solves for remaining roots of cubic and stores roots. Gets real root of cubic. Stores real root. 15–25 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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JK – a Use 1 if JK – a /2 = 0 15–26 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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root. Were there any complex roots ? Displays complex roots if any. 15–27 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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0, then 0 is a real root. Reduce the polynomial by one order by factoring out The order and the coefficients are not preserved by the program. 15–28 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The order of the polynomial is same as the number of roots you get. 8. For a new polynomial, go to step 3. 15–29 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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¥ Displays the third root. ¥ Displays the fourth root. ¥ Displays the fifth root. 15–30 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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¥ Displays the imaginary part of the fourth root. The third and fourth roots are –1.00 ± 1.00 i. 15–31 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
= u cos – v sin θ θ y = u sin + v cos The HP 33s complex and polar–to–rectangular functions make these computations straightforward. 15–32 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8...
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Old coordinate system [0, 0] θ m, n New coordinate system 15–33 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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This routine converts from the new system to the old system. Prompts for and stores U. 15–34 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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6. To translate from the old system to the new system, continue with step 7. To translate from the new system to the old system, skip to step 12. 15–35 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(X, Y) system, to points in the (X', Y') system. Convert point P' which is in the (X',Y') system, to the (X,Y) system. 15–36 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Stores –9 in X. value ¥ Stores 7 in Y and calculates U. ¥ Calculates V. 15–37 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Stores 2.7 in U. z ¥ Stores –3.6 in V and calculates ¥ Calculates Y. 15–38 Mathematics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
. (For definitions of these values, see "Linear Regression" in chapter 11.) Samples of the curves and the relevant equations are shown below. The internal regression functions of the HP 33s are used to compute the regression coefficients. 16–1 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc...
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Data values of large magnitude but relatively small differences can incur problems of precision, as can data values of greatly different magnitudes. Refer to "Limitations in Precision of Data" in chapter 11. 16–2 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Defines common entry point for all models. Clears the statistics registers. Stores the index value in i for indirect addressing. 16–3 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Calculates the coefficient b. If flag 1 is seta takes the natural antilog of b. 16–4 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Returns to the calling routine. Checksum and length: 65AB 18 y ˆ This subroutine calculates for the logarithmic model. 16–5 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Checksum and length: CC13 21 y ˆ This subroutine calculates for the power model. 16–6 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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E for an exponential curve; or P for a power curve. ¥ 3. Key in x–value and press ¥ 4. Key in y–value and press 16–7 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Also, estimate y for an x value of 37. Estimate x for a y value of 101. 16–8 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Enters correct x–value of data pair. ¥ Enters y–value of data pair. ¥ 36.2 Enters x–value of data pair. 16–9 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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You will need to reenter the data values each time you run the program for a different curve fit. 16–10 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
σ π This program uses the built–in integration feature of the HP 33s to integrate the equation of the normal frequency curve. The inverse is obtained using Newton's method to iteratively search for a value of x which yields the given probability Q(x).
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Calculates the derivative at X guess Calculates the correction for X guess 16–12 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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This subroutine calculates the integrand for the normal − − ÷ ÷ function 16–13 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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. (If the standard deviation is 1, just press 5. To calculate X given Q(X), skip to step 9 of these instructions. 16–14 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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¥ Accepts the default value of zero for ¥ Accepts the default value of 1 for S. 16–15 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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20 percent of the students would have failed to achieve ? Keys: Display: Description: (In RPN mode) Starts the initialization routine. 16–16 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
This program allows you to input data, correct entries, and calculate the standard deviation and weighted mean of the grouped data. 16–17 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Increments (or decrements) N. Displays current number of data pairs. 16–18 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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–value (data point) and press ¥ 4. Key in f –value (frequency) and press ¥ 5. Press after VIEWing the number of points entered. 16–19 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Enter the following data and calculate the grouped standard deviation. Group Keys: Display: Description: (In RPN mode) Prompts for the first x value 16–20 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Prompts for the fourth x ¥ Prompts for the fourth f ¥ Displays the counter. 16–21 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(sx) of the six data points. ¥ Calculates and displays weighted mean ( Å Clears VIEW. 16–22 Statistics Programs File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Note that any problem can be viewed from two perspectives. The lender and the borrower view the same problem with reversed signs. 17–1 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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SOLVE calculation ( I ). The order in which you're prompted for values depends upon the variable you're solving for. 17–2 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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10.5% annual interest compounded monthly. The purchase price of the car is $7,250. Your down payment is $1,500. 17–3 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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The answer is negative since the loan has been viewed from the borrower's perspective. Money received by the borrower (the beginning balance) is positive, while money paid out is negative. 17–4 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(In RPN mode) º d Displays leftmost part of the TVM equation. Û Selects F; prompts for P. 17–5 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
This process continues until a prime number is found. 17–6 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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LB L X P D → F P [ / ] x = 0? √ D > P + 2 → 17–7 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Tests to see whether all possible factors have been tried. If all factors have been tried, branches to the display 17–8 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(In RPN mode) Calculates next prime number after 789. ¥ Calculates next prime number after 797. 17–9 Miscellaneous Programs and Equations File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
A: Exponent of ten; that is, 2.51 × 10 Q: The calculator has displayed the message . What should I do ? A–1 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
If the battery annunciator is on, and the display dims, you may lose data. If data is lost, the message is displayed. A–2 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Remove one of the two batteries once. Press down the holder. Push the plate to the shown direction and lift it. Plate Holder A–3 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
1. Do the self–test described in the next section. If the calculator fails the self test, it requires service. A–4 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
You can halt this factory test by pressing any key. A–5 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Replacement products may be either new or like-new. 2. HP warrants to you that HP software will not fail to execute its programming instructions after the date of purchase, for the period specified above, due to defects in material and workmanship when properly installed and used.
The only warranties for HP products and services are set forth in the express warranty statements accompanying such products and services. Nothing herein should be construed as constituting an additional warranty. HP shall not be liable for technical and editorial errors or omissions contained herein.
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Chile 800-360999 Columbia 9-800-114726 Peru 0-800-10111 Central America & Caribbean 1-800-711-2884 Guatemala 1-800-999-5105 Puerto Rico 1-877-232-0589 Costa Rica 0-800-011-0524 A–8 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
ROTC = Rest of the country Regulatory information This section contains information that shows how the HP 33s scientific calculator complies with regulations in certain regions. Any modifications to the calculator not expressly approved by Hewlett-Packard could void the authority to operate the 33s in these regions.
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Japan この装置は、情報処理装置等電波障害自主規制協議会(VCCI)の基準 に基づく第二情報技術装置です。この装置は、家庭環境で使用することを目的 としていますが、この装置がラジオやテレビジョン受信機に近接して使用され ると、受信障害を引き起こすことがあります。 取扱説明書に従って正しい取り扱いをしてください。 Noise Declaration. In the operator position under normal operation (per ISO 7779): LpA<70dB. A–10 Support, Batteries, and Service File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
How to clear (purge) all of user memory and reset the system defaults, and Which operations affect stack lift. Managing Calculator Memory The HP 33s has 31K bytes of user memory available to you for any combination of ∫ stored data (variables, equations, or program lines). SOLVE, FN, and statistical ∫...
. (You will be pressing three keys simultaneously). When you release all three keys, the display shows if the operation is successful. B–3 User Memory and the Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
X–register. (Refer to chapter 2, "The Automatic Memory Stack.") All functions except those in the following two lists will enable stack lift. B–4 User Memory and the Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Including all operations performed while the catalog is displayed except Ï { } and { } , which enable stack lift. B–5 User Memory and the Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
The former stores x in LAST X; the latter stores the recalled number in LAST X. B–6 User Memory and the Stack File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Power Functions In ALG mode, to calculate a number y raised to a power x, key in y x, then Ï press C–2 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page: 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Suppose that the $15.76 item cost $16.12 last year. What is the percentage change from last year's price to this year's ? C–3 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
To display the quotient and remainder produced by 58 ÷ 9 Keys: Display: Description: ¹ b Ï Displays the quotient. º ` Ï Displays the remainder. C–4 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page: 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Ï ¸ ¯ Ï ¯ Ï In the second case, the key acts like the key by displaying the result of C–5 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
RPN mode. You can press Ö < º ; ) to review each registers. C–6 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page: 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Enter the complex number z. (Use parentheses for z if the real part exists). Select the complex function. Ï Press to calculate. C–8 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page: 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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= 4 – i 3 Keys: Display: Description: º y Ù Real part of result. ¹ c º | C–9 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
4. The display shows n, the number of statistical data pairs you have accumulated. 5. Continue entering x, y–pairs. n is updated with each entry. C–11 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Reenters the first data pair. There is still a total of two data pairs in the statistics registers. C–12 ALG: Summary File name 33s-E-Manual-1008-Publication(1st).doc Page: 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
If f(x) has one or more local minima or minima, each occurs singly between adjacent roots off f(x) (figure d, below). D–1 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
(12–digit) precision. Interpreting Results The SOLVE operation will produce a solution under either of the following conditions: D–2 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Enter the equation as an expression: Keys: Display: Description: º d Select Equation mode. z ¸ Enters the equation. Ù ¸ D–3 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Ù Enters the equation. Ã Ï º Î Checksum and length. Å Cancels Equation mode. D–4 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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If the pole occurs at a value of x that is exactly represented with 12 digits, then that value would cause the calculation to halt with an error message. D–5 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Description: Your initial guesses for _ the root. º d Selects Equation mode; displays the equation. D–6 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Å Cancels Equation mode. Now, solve to find the root. Keys: Display: Description: Your initial guesses for D–7 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
The search is concentrated in a local "flat" region of the function (see figure c, below). The ending value of f(x) is the value of the function in this region. D–8 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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– 6x + 13 = 0. It has a minimum at x = 3. Enter the equation as an expression: D–9 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Enter the equation as an expression. Keys: Display: Description: º d Selects Equation mode. Ã , h Enters the equation. D–10 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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It's apparent from inspecting the equation that if x is a negative number, the smallest that f(x) can be is 10. f(x) approaches 10 as x becomes a negative number of large magnitude. D–11 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Keys: Display: Description: _ º d Selects Equation mode; displays the left end of the equation. D–12 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Solve for X using initial guesses of 10 and –10 Keys: Display: Description: Enters guesses. _ D–13 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Underflow occurs when the magnitude of a number is smaller than the calculator can represent, so it substitutes zero. This can affect SOLVE results. For example, consider the equation D–14 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Because of underflow, SOLVE returns a very large value as a root. (The calculator cannot represent infinity, anyway.) D–15 More about Solving File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Conditions That Could Cause Incorrect Results Although the integration algorithm in the HP 33s is one of the best available, in certain situations it — like all other algorithms for numerical integration — might give you an incorrect answer. The possibility of this occurring is extremely remote.
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, which is virtually the largest number you can key into the calculator. –x Try it and what happens. Enter the function f(x) = xe E–3 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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1. The reasons or the incorrect answer becomes apparent from the graph of f(x) over the interval of integration. E–4 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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E–5 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(x) Calculated integral of this function will be accurate. f (x) Calculated integral of this function may be accurate. E–6 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Selects Equation mode; displays the equation. º " Integral. (The calculation takes a ∫ minute or two.) E–7 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Consequently, several more iterations are required over the larger interval to achieve an approximation with the same accuracy, and therefore calculating the integral requires considerably more time. E–8 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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These methods enable you to change the function or the limits of integration so that the integrand is better behaved over the interval(s) of integration. E–9 More about Integration File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
Indicates the "top" of equation memory. The memory scheme is circular, so is also the "equation" after the last equation in equation memory. F–1 Messages File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(See appendix B). The condition checked by a test instruction is not true. (Occurs only when executed from the keyboard.) F–2 Messages File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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SOLVE operation was running. ∫ A running program attempted to integrate a program while a SOLVE operation was running. F–3 Messages File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
1–9 function keyed in an equation; 6–3 starts equation editing; deletes a 12–6 program step. G–1 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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º p %CHG Percent change. 4–6 Returns (x – y)(100 ÷ y). π º j Returns the 4–3 approximation 3.14159265359 (12 digits). G–2 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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∑ − ÷ θ , r º ± 4–9 Polar to rectangular coordinates. θ ) to (x, y). Converts (r, G–3 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(antilogarithm). Þ { } 1–20 Selects display of all significant digits. ¹ i ASIN Arc sine 4–4 –1 Returns sin G–4 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Cube root of argument. 6–15 º · CF n { } n 13–11 Clears flag n (n = 0 through 11). G–5 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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+ i z + i z ¹ c à CMPLX – Complex 9–2 subtraction. Returns (z + i z ) – (z G–6 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Combinations of n 4–14 items taken r at a time. Returns n! ÷ (r! (n – r)!). Cosine. 4–3 Returns cos x. G–7 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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0 through 11). Causes the exponent display for 1–20 º ] the number being displayed to change in multiples of 3. G–8 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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14–1 Selects labeled program as the 14–7 current function (used by SOLVE ∫ FN). º [ Fractional part of x. 4–16 G–9 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Hours, minutes, seconds to hours. Converts x from hours–minutes–seconds format to a decimal fraction. i or 6–4 Value of variable i. G–10 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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(increment value) to ccccccc (counter value) and, if the result > fff (final value), skips the next program line. G–11 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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( or ). 4–4 ¹ . { } 11–11 Returns the number of sets of data points. G–12 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Moves t to the Z–register, z to the Y–register, y to the X–register, and x to the T–register in RPN mode. G–14 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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FN=, using initial estimates in variable and x. ® ¥ Inserts a blank space 6–5 character during equation entry. G–15 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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º + { } 11–6 Returns sample standard deviation of y–values: ∑ − ÷ − Tangent. Returns tan x. 4–3 G–16 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
+ 1). X ROOT The argument root of 6–15 argument Returns weighted mean of x 11–4 ) ÷ Σy values: (Σy G–17 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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? º {≠} 13–7 If x≠0, executes next program line; if x=0, skips the next program line. G–18 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Rectangular to polar 4–10 coordinates. Converts (x, y) to (r, θ ). Power. 4–2 Returns y raised to the x power. G–19 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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Notes: 1. Function can be used in equations. 2. Function appears only in equations. G–20 Operation Index File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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1–17, 2–8, 9–2 i, 3–7, 13–21 real–number, 4–1 (i), 3–7, 13–21, 13–22, 13–25 two–number, 1–17, 2–8, 9–3 imaginary part (complex numbers), future balance (finance), 17–1 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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4–13 intercept (curve–fit), 11–8, 16–1 math interest (finance), 17–3 complex–number, 9–1 intermediate results, 2–10 general procedure, 1–16 inverse function, 1–17, 9–3 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 17.7 x 25.2 cm...
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4–16 general operation, 1–6 fractions in, 1–21, 5–1 leaving, 1–4, 1–9 in equations, 6–5 list of, 1–7 in programs, 12–6 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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4–14 10–5 normal distribution, 16–11 setting response, 13–9, F–3 program catalog, 1–24, 12–20 testing occurrence, 13–9 program labels branching to, 13–2, 13–4, Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 17.7 x 25.2 cm...
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1–24 showing long number, 12–6 deleting all, 1–5 stepping through, 12–9 deleting equations, 12–6, 12–18 stopping, 12–13, 12–14, 12–17 deleting lines, 12–18 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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5–8, 12–17 running programs, 12–20 numbers, 4–16 stopping integration, 8–2, 14–8 round–off stopping SOLVE, 7–7, 14–1 fractions, 5–8 and R , 2–2, C–6 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 17.7 x 25.2 cm...
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(calculator), A–5 square–root function, 1–17 shift keys, 1–3 stack. See stack lift sign (of numbers), 1–14, 1–17, 9–3, affected by prompts, 6–13, 10–4 12–12 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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4–13 initializing, 11–2 limits for calculator, A–2 one–variable, 11–2 test menus, 13–7 precision, 11–10 testing the calculator, A–4, A–5 sums of variables, 11–11 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 17.7 x 25.2 cm...
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X ROOT arguments, 6–16 number storage, 3–1 X–register of integration, 8–2, 14–7, C–8 affected by prompts, 6–13 polynomials, 12–24 arithmetic with variables, 3–4 program input, 12–12 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...
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2–5 displayed, 2–2 part of stack, 2–1 during programs pause, 12–17 testing, 13–7 exchanging with variables, 3–6 unaffected by VIEW, 12–14 Index– File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 17.7 x 25.2 cm...
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Bij dit produkt zijn batterijen. Wanneer deze leeg zijn, moet u ze niet weggooien maar inleveren aIs KCA. File name 33s-E-Manual-1008-Publication(1st).doc Page : 386 Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm...