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HP 3 9gs gr aphing calc ulator user's guide Ed i t io n 3 P art Number F2 2 2 3AA-9000 1 HP 39gs English. book Page i Wednesd ay, December 7, 2005 11:24 PM.
Notice REG ISTER Y OUR PRODU CT A T: ww w .register .hp.com THI S MANUAL AND ANY EXAMPLES C ONT AI NED HEREIN ARE PRO VIDED “ AS IS” AND ARE SUBJECT TO CHANGE WITHOUT NO TI CE.
i Contents Preface Manual conventions ................ ................ ................. ............. P-1 Notice ...... ................ ................ ................. ................ .......... P-2 1 Getting started On/off, cancel operatio ns .
ii 3 Function aplet About the Fu nction aplet .... ................ ................. ............. ...... 3-1 Getting started with the Function aplet ... ................ ............. 3-1 Function aplet intera ctive analysis .............. .........
iii Exploring the graph ......... ................ ................ ............. 1 0-19 Calculating predicted values ............................. ............. 10-20 11 Inference aplet About the Inference ap let ................ ................ ...
iv Two-variable statistics ................ ................ ................. .. 13-17 Symbolic functions .......... ................. ................ ............ 13-17 Test functions ............ ................ ................ .................
v Using programs ... ................ ................ ................ ............... 18-7 Customizing an aplet ............... ................ ................. ........... 18-9 Aplet naming convention ..................... ................. .....
vi Polar aplet variables ........... ................ ................... .......... R-9 Sequence aplet variables . ................. ................ .............. R-10 Solve aplet variab les . ................ ................ ................. ...
P-1 Preface The HP 39gs is a feature-rich graphing calculator. It is also a powerful mathematics learning tool. The HP 39gs is designed so that you can use it to explore mathematical functions and their proper ties. You can get more information on the HP 39gs from Hewlett-Packard’s Calcula tors web site.
P-2 Notice This manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibit ed by law, Hewlett-Packard Company makes no express .
Getting started 1-1 1 Get ting star ted On/off, cancel operations To turn on Press to turn on the calculator. To cancel When the calculator is on, the key cancels the current operation. To turn off Press OFF to turn the calculator off. To save power, the calc ulator turns itself off after several minutes of inactivity.
1-2 Getting started The display To adjust the contrast Simultaneously press and (or ) to increase (or decrease) the contrast. To clear the display • Pres s CANCEL to clear the edit line . • Pres s CLEAR to cle ar the edit line and the display history .
Getting started 1-3 Annunciators . Annunciators are sy mbo ls that appear above the title bar and give you important status information. The keyboard Menu keys Annunciator Description Shift in effect for next keystroke. To cancel, press again. α Alpha in effect for next keystroke.
1-4 Getting started • On the calculato r ke yboard , the top ro w of ke ys ar e called menu k ey s. Their meanings depend on the conte xt—that’s wh y their top s are blank. T he menu k ey s ar e sometimes called “ soft ke ys ” . • The bo ttom line of the displa y show s the labels f or the menu k ey s’ c urrent meanings .
Getting started 1-5 Entry/Edit keys The entry and edit keys are: K ey Meaning ( CANCEL ) Cancels the current operation if the calculator is on by pressing . Pressing , then OFF turns the calculator off. Accesses the function printed in blue above a key.
1-6 Getting started Shifted keys trokes There are two shift keys that you use to access the operations and characters printed above the keys: and . CHARS Displays a menu of all a vailable characters. To type one, use the arrow keys to highlight it, and press .
Getting started 1-7 HELPWITH The HP 39gs built-in help is avai lable in HOME only. It provides syntax help for bu ilt-in math functions. Access the HELPWITH command by pressing SYNTAX and then the math key for which you require syntax help.
1-8 Getting started • Pr essing displa ys a menu of ph ysical constants f rom the fi elds of chemistry , phys ics, and quantum mec hanics. Y ou can use these constan ts in calculatio ns. (See “Ph ysical constants ” on page 13- 2 5 for mor e infor mation .
Getting started 1-9 • If there ar e two columns, the left column sho ws gener al categori es and the right colu mn sho ws spec ific contents w ithin a category . Highli ght a gener al category in the left column, then highli ght an item in the r ight column.
1-10 Getting started Mode settings You use the Modes input form to set the modes for HOME. HINT Although the numeric setting in Modes affects only HOME, the angle setting controls HOME and the current aplet. The angle setting selected in Modes is the ang le setting used in both HOME and current aplet.
Getting started 1-11 Setting a mode This example demonstrates how to change the angle measure from the default mode, radians, to degrees for the current aplet. The procedure is the same for changing number format and decimal mark modes. 1. Pres s MODES t o o p e n t h e H O M E M O D ES i n p u t form.
1-12 Getting started The c ursor (highli ght) is in the firs t field , Angle Measure . 2 . Pres s to display a li st of choic es. 3. P re s s to select Degrees , and pr ess .
Getting started 1-13 symbolic views of the aplets in the following table. See “Aplet view configuration” on page 1-18 for further information. In addition to these aplets, wh ich can be used in a variety of applications, the HP 39 gs is supplied with two teaching aplets: Quad Explorer and Trig Explorer.
1-14 Getting started charge and transferred to the HP 39gs using the provided Connectivity Kit. Quad Explorer aplet The Quad Explorer aplet is used to investigate the behaviour of as the values of a ,.
Getting started 1-15 Trig Explorer aplet The Trig Explorer aplet is used to investigate the behaviour of the graph of as the values of a , b , c and d change, both by manipulating the equation and seeing the change in the graph, or by manipulating the graph and seeing the change in the equation.
1-16 Getting started Aplet library Aplets are stored in the Aplet library. To open an aplet Press to display the Aplet library menu. Select the aplet and press or .
Getting started 1-17 Numeric view Press to display the aplet’s Numeric vie w. In this view, the functions that you have defined are displayed in tabular format. See “About the numeric view” on page 2-16 f or further information. Plot-Table view The VIEWS menu contains the Plot-Table view.
1-18 Getting started Note view Press NOTE to display the aplet’s note view. This note is transferred with the aplet if it is sent to another calculator or to a PC. A note view contains text to supplement an aplet. See “Notes and sketche s” on page 17-1 for further information.
Getting started 1-19 To change views Each view is a separate environment. To change a view, select a different view by pressing , , keys or select a view from the VIEWS menu. To change to HOME, press . You do not explicitly close the current view, you just ente r another one—like passing from one room into another in a house.
1-20 Getting started Example Calculate : Long results If the result is too long to fit on the display line, or if you want to see an expression in textbook format, press to highlight it and then press . Negative numbers Type to start a negative number or to insert a negative sign.
Getting started 1-21 However, for clarity, it is better to include the multiplication sign where you expect multiplication in an expression. It is clearest to enter AB as A*B . HINT Implied multiplication will not always work as expected. For example, entering A(B+4) will not give A*(B+4) .
1-22 Getting started Algebraic precedence order of evaluation Functions within an expression are evaluated in the following order of precedence. Functions with the same precedence are evaluated in order from left to right. 1. Ex pressions within parenthe ses.
Getting started 1-23 When you highlight a previous input or resu lt (by pressing ), the and menu labels appear. To copy a previous line Highlight the line (press ) and press . The number (or expression) is co pied into the ed it line. To reuse the last result Press ANS (last answer) to put the last result from the HOME display into an expression.
1-24 Getting started HINT When you retrieve a number from ANS , you obtain the result to its full precision. When you retrieve a number from the HOME’s display history, you obtain exactly what was displayed. Pressing evaluates (or re-evaluates) the last input, whereas pressing ANS copies the last result (as ANS ) into the edit line.
Getting started 1-25 Accessing the display history Pressing enables the highlight bar in the display history. While the highlight bar is active, the following menu and keyboard keys are very useful: Clearing the display history It’s a good habit to cl ear the display history ( CLEAR ) whenever you have finish ed working in HOME.
1-26 Getting started 2 . Select Number Format , press to display the options , and highlight Fraction or Mixe d Fraction . 3 . Pres s to sele ct the Number For mat op tion, then mov e to th e prec ision value field . 4. Enter the prec ision value that y ou want to use , and pr ess to set the pr ecisio n.
Getting started 1-27 • Prec ision s et to 1: • Pr ecision s et to 2: • Prec ision s et to 3: • Pr ecision s et to 4 Fraction calculations When entering fractions: • Y ou use the ke y to separate the nu merator part and the denominator par t of the fr action.
1-28 Getting started 2. E n t e r t h e c a l c u l a t i o n . 32 3 45 7 8 Note: Ensur e you are in the HOME v iew . 3 . Ev aluate the calculati on. Note that if you had selected Mixed Fraction instead of Fraction as the Number format, the answer would have been expressed as 25+7/8.
Getting started 1-29 In this ex ample , the fr action prec ision is set to 6. Complex numbers Complex results The HP 39gs can return a complex number as a result for some math functions. A comp lex number appears as an ordered pair ( x, y ), where x is the real part and y is the imaginary part.
1-30 Getting started Catalogs and editors The HP 39gs has several catalogs and editors. You use them to create and manipulate objects. They access features and stored values (numbe rs or text or other items) that are independent of aplets. • A catalog lists items, w hich y ou can delete or tr ansmit, f or ex ample an aplet .
Aplets and their views 2-1 2 Aplets and th eir vie w s Aplet views This section examines the options and func tionality of the three main views for the Functio n, Polar, Parametric, and Sequence aplets: Symbolic, Plot, and Numeric views.
2-2 Aplets and their views – For a Function definition , ente r an ex pres sion to def ine F(X) . The only independent variab le in th e ex pre ss io n is X. – For a P arametric definition , ente r a pair of expr essio ns to def ine X(T) and Y(T) .
Aplets and their views 2-3 Evaluating expressions In aplets In the Symbolic view, a variable is a symbol only, and does not represent one specif ic value. To evaluate a function in Symbolic view, press . If a function calls another function, then resolves all references to other functions in terms of their independent variab le.
2-4 Aplets and their views In HOME You can also evaluate any expression in HOME by entering it into the edit line and pressing . For example, define F4 as below. In HOME, type F4(9) and press . This evaluates the expression, substituting 9 in place of X into F4 .
Aplets and their views 2-5 About the Plot view After entering and selecting (check marking) the expression in the Symbolic view, press . To adjust the appearance of the graph or the interval that is displayed, you can change the Plot view settings. You can plot up to ten expressions at the same time.
2-6 Aplets and their views Plot view settings The plot view settings are: Those items with space for a checkmark are settings you can turn on or off. Press to display the second page. Field Meaning XRNG, YRNG Specifies the minimum and maximum horizontal ( X ) and vertical ( Y ) values for the plotting window.
Aplets and their views 2-7 Reset plot settings To reset the default values for all plot settings, press CLEAR in the Plot Setup view. To reset the default value for a field, highlight the field, and press . Exploring the graph Pl ot v ie w gi v es y ou a s e le c ti o n o f ke ys a nd m en u ke y s t o explore a graph further.
2-8 Aplets and their views Trace a graph You can trace along a function using the or key which moves the cursor along the graph. The display also shows the current coordinate position ( x, y ) of the cursor. Trace mode and the coordinate disp lay are automatically set when a plot is drawn.
Aplets and their views 2-9 To jump directly to a value To jump straight to a value rather than using the Trace function, use the menu key. Press , then enter a value. Press to jump to the value. To turn trace on/off If the menu labels are no t displayed, press first.
2-10 Aplets and their views Y-Zoom In Di vides vertical scale only, using Y-factor. Y-Zoom Out Multiplies vert ical scale only, using Y-factor. Square Changes the vertical scale to match the horizontal scale. (Use this after doing a Box Zoom, X- Zoom, or Y-Zoom.
Aplets and their views 2-11 ZOOM examples The following screens show the effects of zooming options on a plot of . Plot of Zoom In : In Un-zoom : Un-zoom Note: Press to move to the bottom of the Zoom list. Zoom Out : Out Now un- zoom. X-Zoom In : X-Zoom In Now un- zoom.
2-12 Aplets and their views Y-Zoom In: Y-Zoom In Now un-zoom. Y-Zoom Out: Y-Zoom Out Zoom Square: Square To box zoom The Box Zoom option lets you dr aw a box around the area you want to zoom in on by selecting the endpoints of one diagonal of the zoom rectangle.
Aplets and their views 2-13 To set zoom factors 1. In the Plot v ie w , pr ess . 2. P r e s s . 3. S e l e c t Set Factors... and pr ess . 4. Enter the z oom facto rs. Ther e is one z oom factor for the horiz ontal sc ale ( XZOOM ) and one f or the vertical scal e ( YZOOM ).
2-14 Aplets and their views Split the screen The Plot-Detail view can give you two simultaneous views of the plot. 1. Pres s . Select Plot-Detail and pr ess . The gr aph is plot ted twice . Y ou can now z oom in on the ri ght side . 2. P r e s s , select the zoom meth od and pres s or .
Aplets and their views 2-15 – mov es the left most c ursor to the scr een’s left edge and mov es the ri ghtmost c ursor to the sc reen ’s ri ght edge. – The menu k ey copi es the ri ght plot to the left plot . 3 . T o un -split the scr een , pres s .
2-16 Aplets and their views About the numeric view After entering and selecting (check marking) the expression or expressions that you want to explore in the Symbolic view, press to view a table of data values for the independent variable ( X , T, θ , or N ) and dependent variables.
Aplets and their views 2-17 Numeric view settings The following table details the fields on the Numeric Setup input form. Reset numeric settings To reset the default values for all table settings, press CLEAR . Exploring the table of numbers NUM view menu keys The following table details the menu keys that you use to work with the table of numbers.
2-18 Aplets and their views ZOOM options The following table lists the zoom options: The display on the right is a Zoom In of the display on the left. The ZOOM factor is 4. HINT To jump to an independent va riable value in the table, use the arrow keys to place the cursor in the independent variable column, then enter the value to jump to.
Aplets and their views 2-19 Building your own table of numbers The default NUMTYPE is “Automatic”, which fills the table with data for regular intervals of the independent ( X , T , θ , or N ) variable. With the NUMTYPE option set to “Build Your Own”, you fill the table yourself by typing in the independent-variable values you want.
2-20 Aplets and their views “Build Your Own” menu keys Example: plotting a circle Plot the circle, x 2 + y 2 = 9 . First rearrange it to read . To plot both the positive and negative y values, you need to define two equations as follows: and Ke y Meaning Puts the highlighted independent value ( X , T , θ , or N ) into the edit line.
Aplets and their views 2-21 1. In the F unction aplet , spec if y the functi ons. Select Function 9 9 2 . R eset the gra ph setup to the def ault settings . SETUP - PLOT CLEAR 3 . P lot the two func tions and hide the men u so that yo u can see all the ci rcl e.
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Function aplet 3-1 3 Function aplet About the Function aplet The Function aplet enables you to explore up to 10 real-valued, rectangular functions y in terms of x .
3-2 Function aplet Define the expressions 2 . T h er e are 10 fu nction def inition fi elds on the F u nctio n aplet’s S ymboli c vie w scr een . They ar e labeled F1(X) to F0(X). Highlight the f unction def inition f ield you w a nt to u se , and enter an e xpr essio n.
Function aplet 3-3 Change the scale 6. Y ou can chang e the scale to see more or le ss of your gr aphs. In this ex ample , choose Auto Scale . (See “VIEW S menu options ” on page 2 -13 for a descrip tio n of Auto Sc al e) . Select Auto Scale Trace a graph 7 .
3-4 Function aplet Analyse graph with FCN functions 9. Display the Plot view menu. From the Plot view menu, you can use the functions on the FCN menu to find roots, intersections, slopes, and areas for a function defined in the Function aplet (and any Function-based ap lets).
Function aplet 3-5 12 . Choose the linear f unction w hose inter sectio n w ith the quadr atic functi on you w ish to find . The coo rdinates of the intersec tion point ar e display ed at the bottom of the screen .
3-6 Function aplet 15 . Move the c ursor to x = –2 by pr essing the or key . 16 . Pres s to accept using F2(x) = (x + 3) 2 – 2 as the other boundar y for the integr al. 17 . Choos e the end value for x . 1 Th e cu rso r jum ps to x = – 1 on the linear functi on.
Function aplet 3-7 HINT The Root and Extremum functions return one value only even if the fun ction has more than one root or extremum. The function finds the value closest to the position of the cursor. You need to re-locate the cursor to find other roots or extrema that may exist.
3-8 Function aplet To navigate around a table 2 4. Move t o X = –5 .9 . 6 times To go directly to a value 2 5. Mov e directl y to X = 10. 1 0 To access the zoom options 2 6. Z oom in on X = 10 by a factor o f 4. Note: NUMZOOM has a setting of 4 . In To change font size 2 7 .
Function aplet 3-9 Function aplet interactive analysis From the Plot view ( ), you can use the functions on the FCN menu to find roots, intersection s, slopes, and areas for a function defined in the Function aplet (and any Function-based aplets). See “FCN functions” on page 3- 10.
3-10 Function aplet FCN functions The FCN functions are: Function Description Root Select Root to find the root of the current function nearest the cursor. If no root is fo und, but only an extremum, then the result is labeled EXTR: instead of ROOT: .
Function aplet 3-11 Shading area You can shade a selected area between functions. This process also gi ves you an approximate measurement o f the area shaded. 1. Open the Function aplet . The Functi on apl et opens in the S ymbolic v ie w . 2 . Se lect the expr essi ons who se curv es you want to study .
3-12 Function aplet Plotting a piecewise-defined function Suppose you wanted to plot the following piecewise- defined function. 1. Open the F unction aple t. Select Function 2 . Hi ghlight the line you w ant to use , and enter the expr ession. ( Y ou can pre ss to delete an ex isting line , or CLEAR to c lear all lines.
Parametric aplet 4-1 4 Pa r a m e t r i c a p l e t About the Parametric aplet The Parametric aplet allows you to explore parametric equations. These are equations in which both x and y are defined as functions of t .
4-2 Parametric aplet Set angle measure 3 . Set the angl e measure to degrees. MODES Select Degrees Set up the plot 4. Display the graphing options. PLOT The P lot Setu p input for m has t w o fields not inc luded in the Functi on aplet, TRNG and TSTEP .
Parametric aplet 4-3 Overlay plot 8. Plot a triangle graph over the existing circle graph. PLOT 120 Select Overlay Plot A tria ngle is di splay ed r ather than a cir cle (w ithout c hanging the equation) because the c hanged value of TSTEP e nsures that points being plotted are 120 ° apa r t instead o f nearly continuous .
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Polar aplet 5-1 5 Po l a r a p l e t Getting started with the Polar aplet Open the Polar aplet 1. Open the P o lar aplet. Sele ct Polar L ike the F unction aplet , the P olar aplet opens in the S ymboli c vie w . Define the expression 2 . Def ine the polar equatio n .
5-2 Polar aplet Explore the graph 5 . Displa y the Plot v iew m enu k ey labels . Th e Plo t vi ew o p t io n s av ailable ar e the same as those fo und i n the F unction aplet. See “Explor ing the graph ” on page 2 - 7 for f ur ther informati on.
Sequence aplet 6-1 6 Sequence aplet About the Sequence aplet The Sequence aplet allows you to explore sequences. You can define a sequence named, for example, U1: • in terms of n • in terms of U1 ( n –1) •i n t erms o f U1 ( n –2) • in terms o f another sequence, f or ex ample, U2 ( n ) • in an y combination of the abo ve .
6-2 Sequence aplet Open the Sequence aplet 1. Open the Sequence apl et. Select Sequence The Sequence apl et starts in the S ymboli c view . Define the expression 2 . Def i ne the Fibonacc i sequence, in w hich eac h term (after the fir st two) is the sum o f the preceding two terms: , , for .
Sequence aplet 6-3 Plot the sequence 4. P lot the Fibonacc i seque nce. 5. In Plot Setup, set the SEQPLOT option to Cobweb . SETUP - PLOT Select Cobweb Display the table 6.
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Solve aplet 7-1 7 Solve aplet About the Solve aplet The Solve aplet solves an equation or an expression for its unknown variable . You define an equation or expression in the symbolic view, then supply values for all the variables except one in the numeric view.
7-2 Solve ap let Getting started with the Solve aplet Suppose you want to find th e acceleration needed to increase the speed of a car from 1 6.67 m/sec (60 kph) to 27.78 m/sec (100 kp h) in a distance of 100 m. The equation to solve is: Open the Solve aplet 1.
Solve aplet 7-3 4. Enter the value s for the kno wn var iables . 2 7 7 8 1 6 6 7 1 0 0 HINT If the Decimal Mark setting in the Modes input form ( MODES ) is set to Comma, use instead of . Solve the unknown variable 5. Sol ve for the unkno wn v aria ble ( A ).
7-4 Solve ap let 6. P lot the equation fo r va riable A . Sele ct Auto Scale 7 . T race along the gr aph repr esenting the le f t side o f the equation until the c ursor nears the inter section . 20 times Note the v alue of A display ed near the bot tom left corner of the scr een.
Solve aplet 7-5 Use an initial guess You can usually obtain a fa ster and more accurate solution if you supply an estimated value for the unknown variable before pressing . Solve starts looking for a solution at the initial guess. Bef ore plotting , make sur e the unknow n vari able is highlig hted in the numeri c vie w .
7-6 Solve ap let Interpreting results After Solve has returned a solution, press in the Numeric view for more information. You will see one of the following three messages.
Solve aplet 7-7 If Solve could not find a solution, you will see one of the following two messages. HINT It is important to check the information relating to the solve process. For example, the solution that the Solve aplet finds is not a solution, but the closest that the function gets to zero.
7-8 Solve ap let where X is distance, V 0 is initial velocity, T is time, and A is acceleration. This is actually two equations, Y = X and Y = V 0 T + (AT 2 ) / 2 . Since this equation is quadratic for T , there can be both a positive and a negative solution.
Solve aplet 7-9 5. Move the cursor near the positive (right-side) intersection. This cursor value will be an initial guess for T . Pres s until the c ursor is at the intersec tion. The t wo po in t s o f inters ection sho w that ther e are two so lutions f or this equation.
7-10 Solve ap let Using variables in equations You can use any of the real variable names, A to Z and θ . Do not use variable nam es defined for other types, such as M 1 (a matrix variable).
Linear Solver a plet 8-1 8 Li n e a r S o lve r a p l e t About the Linear Solver aplet The Linear Solver aplet allows you to solve a set of Linear Equations. The set can contain two or three linear equations. In a two-equation set, each equation must be in the form .
8-2 Linear Solver aplet Choose the equation set 2 . If the last time y ou used the Li near Solver a plet yo u so lv ed fo r t wo equations , the two - equation in put form is display ed (as in the ex ample in the pre vious step). T o solve a thr e e -equation set, pr ess .
Linear Solver a plet 8-3 soon as the f irst co -eff ici ent of the last equati on was entered . As you enter each of the r emaining know n value s, the solutio n change s. T he ex ample at the ri ght show s the final s olution once all th e co - efficients a nd constants ar e enter ed for the set of eq uations we s et out to solve.
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Triangle S olve aplet 9-1 9 T riangle Solve aplet About the Triangle Solver aplet The Triangle Solver aplet a llows you to determine the length of a side of a triangle, or the angle at the vertex of a triangle, from information you supply about the other lengths and/or other angles.
9-2 Triangle Solve aplet Open the Triangle Solver aplet 1. Open the T r iangle Solv er aplet. Select Triangle Solver The T ri ang le Solv er aplet opens. Note : if y ou have alr eady us ed the T riangle S olv er , the entries and results fr om the prev ious use w i ll still be displayed .
Triangle S olve aplet 9-3 lengths as B and C, w e would need to s pecify the angle as α . The illus tration on the dis play w ill help yo u determine wher e to enter the k now n values. Note: if y ou need to change the angle measur e mode , pres s MODES , c hange the mode, and then pr ess to return t o the aplet.
9-4 Triangle Solve aplet Not enough data If you are using the general input form, you need to specify at least three values for the Triangle Solver to be able to calculate the remaining attributes of the triangle. If you specify less than three, Not enough data appears on the screen.
Statistics aplet 10-1 10 Statist ic s ap let About the Statistics aplet The Statistics aplet can store up to ten data sets at one time. It can perform one- variable or two-vari able statistical analysis of one or more sets of data. The Statistics aplet starts with the Numeric view which is used to enter data.
10-2 Statistics aplet Open the Statistics aplet 1. Open the S tatistics aplet and c lear ex isting data b y pres sing . Select Statistics Th e St a ti s tic s ap l et starts in the Numer ical view . At an y time the Statistic s aplet is configur ed for onl y one of t wo types of stat istical explorations: one - var iable ( ) or two- var iable ( ) .
Statistics aplet 10-3 Choose fit and data columns 4. Select a f it in the Sy mbolic setup v iew . SETUP - SYMB Select Linear Y ou c a n c rea t e up t o five ex pl o ra ti o ns o f t wo - va ria b l e data, named S1 to S5 . I n th i s exa mp l e, we wi l l cre at e just o ne : S1 .
10-4 Statistics aplet Setup plot 8. Change the plotting r ange to ensure all the dat a points ar e plot ted (and select a diff erent point mark , if yo u wi s h ) . SETUP - PLOT 7 100 400 0 Plot the graph 9 . P lot the gr aph. Draw the regression curve 10.
Statistics aplet 10-5 Predict values 13 . T o find the pr edic ted sales fi gure if ad vertising w ere to go up to 6 minute s: S ( to highlight Stat-Two ) (to hi ghlight PREDY ) 6 14. Retur n to the Plot v iew . 15 . Jump to the indicated point on the r egres sion line .
10-6 Statistics aplet Entering and editing statistical data The Numeric view ( ) is used to enter data into the Statistics aplet. Each column represents a variable named C0 to C9 . After entering the data, you must define the data set in the Symbolic view ( ).
Statistics aplet 10-7 Example You are measuring the height of students in a classroom to find the mean height. The first five students have the following measurements 160cm, 165cm, 170cm, 175cm, 180cm. 1. Open the Statistics apl et . Select Statistics 2 .
10-8 Statistics aplet Note that the title o f the colu mn of stat istic s is H1 . Ther e are 5 data set de finitions a vailable for one- var iable stat ist ics: H1–H5 . If data is entered in C1 , H1 i s automatically set to use C1 fo r data , and the frequenc y of each data po int is set to 1.
Statistics aplet 10-9 To continue our example, supp ose that the heights of the rest of the students in the class are measured, but each one is rounded to the nearest of the five values first recorded. Instead of entering all the new data in C1 , we shall simply add another column, C2 , that holds the frequencies of our five data points in C1 .
10-10 Statistics aplet 6 . R eturn to the numer ic vi ew . 7 . Enter the f requenc y data show n in the abov e table . 5 3 8 2 1 8. Displa y the computed stat ist ics. The mean height is approximately 167.63cm. 9 . Setup a histogr am plot for the data .
Statistics aplet 10-11 Delete data • T o delete a single data item, highli ght it and pr ess . The v alues below the deleted cell w ill scr oll up one ro w . • T o delete a column of data , highlight an entry in that column and press CLEAR . Select the column name.
10-12 Statistics aplet Defining a regression model The Symbolic view includes an expression (Fit1 through Fit5) that defines the regression model, or “fit”, to use for the regression analysis of each two-variable data set. There are three ways to select a regression model: • Accept the d efault option to fit the data to a straight line.
Statistics aplet 10-13 To define your own fit 1. In Numeri c vie w , mak e sure is set . 2 . Display the S ymbo l ic v iew . 3 . Hi ghlight the F it expr ession ( Fit1 , etc .) for the desired data set . 4. T ype in an e xpre ssion and pr ess . The independent variable must be X , and the expr essi on must not contain an y unknow n var iables.
10-14 Statistics aplet Computed statistics One-variable When the data set contains an odd number of values, the data set’s median value is no t used when calculating Q1 and Q3 in the table abo ve.
Statistics aplet 10-15 Two-variable Plotting You can plot : • histogr ams ( ) • box -and-whisk er plots ( ) • scat ter p lots ( ) . Once you have entere d your data ( ), defined your data set ( ), a nd defined your Fit model for two- variable statistics ( SETUP - SYMB ), you can plot your data.
10-16 Statistics aplet To plot statistical data 1. In S ymboli c vie w ( ) , select ( ) the data sets y ou wan t to plot. 2 . F or one -var iable data ( ), select the plot ty pe in Plot Setup ( SETUP - PLOT ) . Highligh t ST A TPLOT , pres s , select either Histogram or BoxWhisker , and pr ess .
Statistics aplet 10-17 Scatter Plot Two-v ariable statistics . The numbers below the plot indicate that the cursor is at the first data point for S2, at (1, 6). Press to move to the next data point and display information about it. To connect the data points as they are plotted, checkmark CONNECT in the second page of the Plot Setup.
10-18 Statistics aplet Relative Error The relative error is a measure of the error between predicted values and actual va lues based on the specified Fit.
Statistics aplet 10-19 For instance, the data se t (1,1 ), (3,9), (4,16), (2,4) would be plotted and traced in the order (1,1), (2,4), (3,9), (4,16). Trouble-shooting a plot If you have problems plotting, check that you have the following: • The co rrec t or menu la bel on (Numeri c view ) .
10-20 Statistics aplet Calculating predicted values The functions PREDX and PREDY estimate (predict ) values for X or Y given a hypothetical value for the other . The estimation is made based on the curve that has been calculated to fit the data a ccording to the specified fit.
Statistics aplet 10-21 • Enter P RED Y( x-value ) to f ind the predic ted value o f the dependent var iable giv en a hypotheti cal indepen dent vari ab le. You can type PREDX and PREDY into the edit line, or you can copy these function names from the MATH menu under the Stat-Two category.
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Inference aplet 11-1 11 Inference aplet About the Inference aplet The Inference capabilities include calculation of confidence intervals and hy pothesis tests based on the Normal Z-distribution or Student’s t-distribution.
11-2 Inference a plet Inference aplet’s SYMB view keys The table below summarizes the options available in Symbolic view. If you choose one of the hypoth esis tests, y o u can choose the alternative hypothesis to test against the null hypothesis.
Inference aplet 11-3 Select the inferential method 2. Select the Hypothesis Test inferential method. Select HYPOTH TEST 3. Define the type of test. Z–Test: 1 μ 4. Select an alternative hypothesis. μ< μ0 Enter data 5. Enter the sample statistics and population parameters.
11-4 Inference a plet By default, each field already contains a value. These values constitute the ex ample database and are explained i n the feature of this aplet. Display on-line help 6. To display the on-line help, press 7. To close the on-line help, press .
Inference aplet 11-5 A calculator produces the following 6 random numbers: 0.529, 0.295, 0.952, 0.2 59, 0.925, and 0.592 Open the Statistics aplet 1. Open the Statistics aplet and reset the current settings. Select Statistics The Statistics aplet opens in the Numeric view.
11-6 Inference a plet Open Inference aplet 6. Open the Infe rence aplet an d clear current set tings. Select Inference Select inference method and type 7. Select an inference method. Select CONF INTERVAL 8. Select a distribution statistic type. Select T-Int: 1 μ Set up the interval calculation 9.
Inference aplet 11-7 Import the data 10. Import the data from the Statistics aplet. Note: The data from C1 is displayed by default. Note: Press to see the statistics before importing them into the Numeric Setup view. Also, if there is more than one aplet base d on the Statistics aplet, you are prompted to choose one.
11-8 Inference a plet Hypothesis tests You use hypothesis tests to test the validity of hypotheses that relate to the statistical parameters of one or two populations. The tests are base d on statistics of samples of the populations. The HP 39gs hypothesis tests use the Normal Z-distribution or Student’s t-distribution to calculate probabilities.
Inference aplet 11-9 Results The results are: Two-Sample Z-Test Menu name Z-Test: μ 1– μ 2 On the basis of two samples, each from a separate population, this test measures t h e strength of the evidence for a selected hypothesis against the null hypothesis.
11-10 Inference a plet Results The results are: One-Proportion Z-Test Menu name Z-Test: 1π On the basis of statistics from a single sample, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis.
Inference aplet 11-11 Inputs The inputs are: Results The results are: Two-Proportion Z-Test Menu name Z-Test: π 1 – π 2 On the basis of statistics from two samples, each from a different population, the Two-Proportion Z-Test measures the strengt h of the ev idence for a selected hypothesis against the null hypothesis.
11-12 Inference a plet Inputs The inputs are: Results The results are: One-Sample T-Test Menu name T-Test: 1 μ The One-sample T-Test is used when the population standard deviation is not know n. On the basis of statistics from a single sample, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis.
Inference aplet 11-13 Inputs The inputs are: Results The results are: Field name Definition Sample mean. Sx Sample standard deviat ion. n Sample size. μ0 Hypothetical population mean. α Significance level. x Result Description Test T T-Test statistic.
11-14 Inference a plet Two-Sample T-Test Menu name T-Test: μ 1 – μ 2 The Two-sample T-Test is used when the population standard deviation is not know n. On the basis of statistics from two samples, each sample from a different population, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis.
Inference aplet 11-15 Results The results are: Confidence intervals The confidence interval calc ulations that the HP 39gs can perform are based on the Normal Z-distribution or Student’s t-distribution.
11-16 Inference a plet Results The results are: Two-Sample Z-Interval Menu name Z-IN T: μ1 – μ2 This option uses the Normal Z- distribution to calculate a confidence interval for the difference between the means of two populations, μ 1 – μ 2 , when the population standard deviations, σ 1 and σ 2 , are known.
Inference aplet 11-17 One-Proportion Z-Interval Menu name Z-INT: 1 π This option uses the Normal Z-distribution to calculate a confidence interval for the proportion of successes in a population for the case in which a sample of size, n , has a number of successes, x .
11-18 Inference a plet Results The results are: One-Sample T-Interval Menu name T-INT: 1 μ This option uses the Student’s t-distribution to calculate a confidence interval for m, the true mean of a population, for the case in which the true population standard deviation, s, is unknown.
Inference aplet 11-19 Results The results are: Two-Sample T-Interval Menu name T-INT: μ 1 – μ 2 This option uses the Student’s t-distribution to calculate a confidence interval for the difference between the means of two populations, μ 1 – μ 2, when the population standard deviations, s1and s2 , are unknown.
11-20 Inference a plet Results The results are: Result Description Critical T Critical value for T. μ Min Lower bound for μ 1 – μ 2 . μ Max Upper bound for μ 1 – μ 2 .
Using the Finance Solver 12-1 12 Using the Finance Solver The Finance Solver, or Finance a plet , is available by using the APLET key in your calculator. Use the up and down arrow keys to select the Finance aplet. Your screen should look as follows: Press the key or the soft menu key to activate the aplet.
12-2 Using the Finance Sol ver combined amount earns interest at a certain rate. Financial calculations involving compound interest include savings accounts, mo rtgages, pension funds, leases, and annuities.
Using the Finance Solver 12-3 flow diagram shows lease payments at the beginning of each period. The following cash flow diagram shows deposits into an account at the end of each period.
12-4 Using the Finance Sol ver Performing TVM calculations 1. Launc h the Financ ial Sol ver as indicat ed at the beginning of this secti on. 2 . Use the arro w k ey s to highlight the diff eren t fields and enter the kno wn var iables in the TVM calculati ons, pres sing the soft -menu k ey after enter ing each kno wn value .
Using the Finance Solver 12-5 Example 1 - Loan calculations Suppose you finance the purcha se of a car with a 5-year loan at 5.5% annual intere st, compounded monthly.
12-6 Using the Finance Sol ver Example 2 - Mortgage with balloon payment Suppose you have taken out a 30-year, $ 150,000 house mortgage at 6.5% annual interest. You expect to sell the house in 10 years, repay ing the loan in a balloon payment. Find the size of the balloon payment, the value of the mortgage after 10 years of payment.
Using the Finance Solver 12-7 Calculating Amortizations Amortization calculations, which also use the TVM variables, determine the amounts applied towards principal and interest in a payment or series of payments. To calculate amortizations: 1. Start the F inance Sol ver as indi c ated at the beginning of t his sec tion.
12-8 Using the Finance Sol ver 3 . Pr ess the soft menu k ey to amortiz e the new batch of pa yments. R epeat steps 1 thr ough 3 as often as needed. Example 4 - Amortization for home mortgage For the results of Example 3, show the amortization of the next 10 years of the mortgage loan.
Using mathematical fun ctions 13-1 13 Using mathematical func tions Math functions The HP 39gs contains many math functions. The function s are grouped in categories. For example, the Matrix category contains functions for manipulating matrices. The Probability category (shown as Prob.
13-2 Using mathematical functions 2 . T h e list of f unctions (on the r ight) applie s to the c u rr ently hi ghlighted category (on the left). Use and to sw itch between the categor y list and th e functi on list. 3 . Hi ghlight the name of the functi on you w ant and pres s .
Using mathematical fun ctions 13-3 Keyboard functions The most frequently used functions are available directly from the keyboard. Many of the keyboard functions also accept complex numbers as arguments. ,, , Add, Subtra ct, Multiply, Di vide. Also accepts complex numbers, lists and matrices.
13-4 Using mathematical functions 10 x Exponential (antilogarithm). Also acc epts complex numbers. 10^ val u e Example 10^3 r eturns 1000 Common logarithm. Also accepts complex numbers. LOG ( val ue ) Example LOG(100) r eturns 2 ,, Sine, cosine, tangent.
Using mathematical fun ctions 13-5 ATAN Arc tangent: tan –1 x . Output range is from –90° to 90°, 2 π /2 to π /2, or –100 to 100 grad s. Inputs and outputs depend on the current an gle format. Al so accepts complex numbers. ATAN ( valu e ) Example ATAN(1) ret u rn s 45 (Degrees mode).
13-6 Using mathematical functions Takes the n th root of x . roo t NTHROOT val ue Example 3 NTHROOT 8 r eturns 2 Calculus functions The symbols for differentiation and integration are available directly form the keyboard — and S respectively—as well as from the MATH menu.
Using mathematical fun ctions 13-7 TAYLOR Calculates the n th order Taylor polynomial of expression at the point where the given variable = 0. TAYLOR ( e x pre ssion, v a r iable, n ) Example TAYLOR(1 + sin(s1) 2 ,s1,5) w ith Radians angle measur e and Fr action number f ormat (set in MODE S) re turns 1+s1^2-1/3*s1^4 .
13-8 Using mathematical functions Constants The constants available from the MATH FUNCTIONS menu are mathematical constants. These are des c ribed in this section. The hp 39gs has two other menus of constants: program constant s and physical constants.
Using mathematical fun ctions 13-9 → IN Convert from centimeters to inches. → L Convert from US gallons to liters. → LGAL Convert from liters to US gallons. → KG Convert from pounds to kilograms. → LBS Convert from kilograms to pounds. → KM Convert from miles to kilometers.
13-10 Using mathematical functions EXP Natural exponential. This is more accurate than due to limitations of the power function. EXP ( val ue ) EXPM1 Exponent minus 1 : . This is more accurate than EXP when x is close to zero. EXPM1 ( val ue ) LNP1 Natural log plus 1 : ln( x+1 ).
Using mathematical fun ctions 13-11 Σ Summation. Finds the sum of expression with respect to variable from initialvalue to finalvalue. Σ ( v ariable = initial value , fi n alva l ue , expressio n ) Example Σ (C=1,5,C 2 ) r eturns 5 5 . Matrix functions These functions are for matr ix data stored in matrix variables.
13-12 Using mathematical functions POLYROOT Polynomial roots. Return s the roots for the n th-order polynomial with the specified n +1 coefficients . POLYROOT ([ coef fic ients ]) Example Fo r x 4 +2x 3 –25x 2 –26x+120 : POLYROOT([1,2,-25,-26,120]) r eturns [2,-3,4,-5] .
Using mathematical fun ctions 13-13 RANDOM Random number (between zero and 1). Produced by a pseudo-random number sequence. The algorithm used in the RANDOM function uses a seed number to begin its sequence.
13-14 Using mathematical functions Examples CEILING(3.2) r eturns 4 CEILING(-3.2) r eturns -3 DEG → RAD Degrees to radians. Converts value from Degrees angle format to Radians angle format. DEG → RAD ( val ue ) Example DEG → RAD( 180 ) r eturns 3.
Using mathematical fun ctions 13-15 with a decimal fraction) to H.MMSSs forma t (time or angle up to fractions of a second). → HMS ( x.x ) Example → HMS(8.5) r eturns 8.3 INT Integer part. INT ( val ue ) Example INT(23.2) r eturns 23 MANT Mantissa (significant digits) of value .
13-16 Using mathematical functions Example % CHANGE(20,50) r eturns 150 %TOTAL Percent total : (100) y/ x . What percentage of x , is y . % TOTAL ( x , y ) Example % TOTAL(20,50) r eturns 250 RAD → DEG Radians to degrees. Converts value from radians to degrees.
Using mathematical fun ctions 13-17 XPON Exponent of value . XPON ( valu e ) Example XPON(123.4) r eturns 2 Two-variable statistics These are functions for use with two-variable statistics. See “Two-variable” on page 1 0-15. Symbolic functions The symbolic functions are used for symbolic manipulations of expression s.
13-18 Using mathematical functions QUAD Solves quadratic expression= 0 for variab le and returns a new expression, where variable = newexpression. The result is a general solution th at represents both positive and negative solutions by in cluding the formal variable S1 to represent any sign: + or – .
Using mathematical fun ctions 13-19 = = Equals (logical test). Returns 1 if true, 0 if false. val u e1 == va lu e 2 ≠ Not equal to. Returns 1 if true, 0 if false. val u e1 ≠ va l ue 2 > Greater than. Returns 1 if true, 0 if false. val u e1 > va l ue 2 ≥ Greater than or equal to.
13-20 Using mathematical functions ACSC Arc cosecant. ACSC ( val ue ) ASEC Arc secant. ASEC ( val ue ) COT Cotangent: cos x /sin x . COT ( val ue ) CSC Cosecant: 1/sin x CSC ( val ue ) SEC Secant: 1/cos x .
Using mathematical fun ctions 13-21 (The | symbol is in the CHARS menu: press CHARS . The = sign is listed in the MATH menu under Symbolic functions.) Symbolic calculations in the Function aplet You can perform symbolic operations in the Functi on aplet’s Symbolic view.
13-22 Using mathematical functions S1 2 . Ev aluate the functi on. 3 . Sho w the re sult. To find derivatives in the Function aplet’s Symbolic view To find the derivative of the fu nction in the Function aplet’s Symbolic view, you define two functions and define the second function as a der ivati ve of the first function.
Using mathematical fun ctions 13-23 4. Pres s to display the r esult. Note : Use the arr ow k ey s to vi ew the entir e functio n. | Y ou could al so just define . To find the indefinite integral using formal variables F or example , to find th e indefinite integral of use: 1.
13-24 Using mathematical functions This result is derived from substituting X = S1 and X = 0 into the original expression found in step 1. However, substituting X = 0 will not always evaluate to zero and may result in an unwanted constant. To see this, consider: The ‘extra’ constant of 6.
Using mathematical fun ctions 13-25 To access the menu of program constants: 1. Pres s . 2. P r e s s . 3 . Us e the arro w ke y s to na vigate thr ough the options . 4. Click and th en to display the number assigned to th e option you selected in the pre viou s step.
13-26 Using mathematical functions Example Suppose you want to know the potential energy of a mass of 5 units according to the equation . 1. Enter 5 2 . Pres s and th en pr ess . 3 . Select light s... fr om the Phy s ics m enu . 4. Pr ess . The men u closes and the v alue of the select ed c onstant is copi ed to the edit line.
Variables and me mory management 14-1 14 V ariables and memory manag ement Introduction The HP 39gs has approximately 200K of user memory. The calculator uses this memory to store variables, perform computations, and store history. A v a r i a b l e i s a n o b j e c t t h a t y o u c r e a t e i n m e m o r y t o h o l d data.
14-2 Variables and memory management Storing and recalling variables You can store numbers or expressions from a pr evious input or result into variables. Numeric Precision A number stored in a variable is always stored as a 12- digit mantissa with a 3-digit exponent.
Variables and me mory management 14-3 5 . Enter a name f or the var iable . A 6 . Pr ess to st ore the r esult . The results of a calculation can also be stored directly to a variable. For example: 2 5 3 B To recall a value To recall a variable’s value, type the name of the variable and press .
14-4 Variables and memory management The VARS menu You use the VARS menu to access all variables in the calculator. The VARS menu is organised by category. For each variable category in the left column, there is a list of variables in the right colu mn.
Variables and me mory management 14-5 5 . Choo se whether to place the v ariable name or the var iable v alue on the command line. – Pres s to indicate that y ou want the var iable ’s c ontents t o appear on the command line. – Pr ess to indicate that y ou wa nt the var iable ’s name to appear on the command line.
14-6 Variables and memory management 4. Enter data for L2 . 55 48 86 90 77 5 . Pres s to access HOME . 6 . Open the v a r iable menu and select L1. 7 . Cop y it to the command line. Note: Because the option is highli ghted, the v ariable ’s name, rather than its cont ents, is copied to the command line .
Variables and me mory management 14-7 Home variables It is not possible to store data of one type in a variable of another type. For example, yo u use the Matrix catalog to create matrices. You can crea te up to ten matrices, and you can store these in variables M0 to M9.
14-8 Variables and memory management Aplet variables Most aplet va riables store v alues that a re unique to a particular aplet. These include symbolic expressions and equations (see below), settings for the Plot and Numeric views, and the results of some calculations such as roots and intersections.
Variables and me mory management 14-9 6 . T o copy the value of the var iable int o the edit line , pres s and pres s . Memory Manager You can use the Memory Manager to determine the amount of available memory on the calculator. You can also use Memory Manager to organize memory.
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Matrices 15-1 15 M atrices Introduction You can perform matrix calc ulations i n HOME and in programs. The matrix and each row of a matrix appear in brackets, and the elements and rows are separated by commas.
15-2 Matri ces Creating and storing matrices You can create, edit, delete, send, and receive matrices in the Matrix catalog. To open the Matrix catalog, press MATRIX .
Matrices 15-3 To create a matrix in the Matrix Catalog 1. Pres s MATRIX to open the Matr ix Catalog . The Matri x catalog lists the 10 a vailable matr ix v ariables , M0 to M9 . 2 . Highli ght the matri x var iable name you w ant to use and pres s . 3 .
15-4 Matri ces A matrix is listed with two dimensions, even if it is 3×1. A vector is listed with the number of elements, such as 3. To transmit a matrix You can send matrices between calculato rs just as you can send aplets, programs, lists, and notes.
Matrices 15-5 To display a matrix • In the Matri x catalog ( MATRIX ), highlight the matri x name and press . • In HOME , enter the name of the matri x var iable and pres s . To display one element In HOME, enter matrixname ( row,column ). For example, if M2 is [[3,4],[5,6]] , then M2(1,2) returns 4 .
15-6 Matri ces To store one element In HOME, enter, value matrixname ( row, column ). For example, to change the element in the first row and second column of M5 to 728, then display the resulting matrix: 728 M 512 M5 . An attempt to store an element to a row or column beyond the size of the matrix results in an error message.
Matrices 15-7 3 . Add the matr ices that you c re a t e d. M1 M2 To multiply and divide by a scalar For division by a scalar, enter the matrix first, then the operator, then the scalar. For multiplication, the order of the operands does not matter. The matrix and the scalar can be real or co mplex.
15-8 Matri ces M1 2 To divide by a square matrix For division of a matrix or a vector by a square matrix, the number of rows of the dividend (or the number of elements, if it is a vector) must equal the number of rows in the divisor. This operation is not a mathematical division : it is a left- multiplication by the inverse of the divi sor.
Matrices 15-9 2 . Cr eate the vect or of the constants in the linear sys te m . 5 7 1 3 . R eturn to the Matri x Cat al og. MATRIX In this ex ample , the vec tor you cr eated is listed a s M1. 4. Cr eate a new matri x. Select Real matrix 5 . Enter the eq uation coeffi cients.
15-10 Matri ces Matrix functions and commands About functions • Fu n c t io n s c a n b e u s e d i n a n y a p l e t o r i n H O M E. Th ey ar e listed in the MA TH menu unde r the Matri x categor y . They can be u sed in mathematical expr essions —primaril y i n HOME—as w ell as in progr ams.
Matrices 15-11 COND Condition Number. Finds the 1-norm (column norm) of a square matr ix . COND ( matri x ) CROSS Cross Product of vector1 with vector2 . CROSS ( vec to r1 , ve ct or 2 ) DET Determinant of a square matrix . DET ( matri x ) DOT Dot Product of two arrays, matrix1 matrix2 .
15-12 Matri ces LU LU Decomposition. Factors a squar e matrix into three matrices: {[[ lowertriangular ]],[[ uppertriangular ]],[[ permutation ]]} The uppertriangular has ones on its diagonal. LU ( matri x ) MAKEMAT Make Matrix. Creates a matrix of dimension rows × columns , using expression to calculate each element.
Matrices 15-13 SPECNORM Spectral No rm of matrix . SPECNORM ( matri x ) SPECRAD Spectral R adius of a square matrix . SPECRAD ( matri x ) SVD Singular Value Decomp osition. Factors an m × n matrix into two matrices and a vector: {[[ m × m square orthogonal ]],[[ n × n square orthogonal ]], [ real ]}.
15-14 Matri ces Trans posing a Matrix The TRN function swaps the row-column and column-r ow elements of a matrix. For instance, element 1,2 (row 1, column 2) is swapped with element 2,1; element 2,3 is swapped with element 3,2; and so on. For exampl e, TRN([[1,2],[3,4]]) creates the matrix [[1,3],[2,4]] .
Matrices 15-15 The final row of zeros in the reduced-row echelon form of the augmented matrix indicates an inconsistent system with infinite solutions .
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Lists 16-1 16 L ists You can do list operations in HOME and in programs. A list consists of comma-separated real or complex numbers, expressions, or matr ices, all enclosed in braces. A list may, for example, contain a sequence of real numbers such as {1,2,3} .
16-2 Lists 3. E nter t he values you want i n th e li st, pressin g after each one. V alues can be r eal or comple x numbers (or an expr ession) . If you enter a calculati on, it is ev aluated and the re sult is inser ted in the list . 4. When done , pre ss LIST to see the List catalog, or pres s to retur n to HOME .
Lists 16-3 List edit keys When you press to create or change a list, the following keys are available to you : Create a list in HOME 1. Enter the list on the edit line. Start and end t he list w ith braces (the shift ed and k ey s) and separate each element w ith a comma.
16-4 Lists Displaying and editing lists To display a list • In the List catalog , highlight the list name and pr ess . • In HOME , enter the name of the lis t and press . To display one element In HOME, enter listname ( element# ). For example, if L2 is {3,4,5,6}, then L2(2) returns 4 .
Lists 16-5 To insert an element in a list 1. Open the List catalog. LIST . 2. P r e s s o r t o highligh t the name of the list y ou want t o edit (L1, etc.) and pr ess to display the lis t contents . New elements are inserted above the highlighted positio n.
16-6 Lists Deleting lists To delete a list In the List catalog, highli ght the list name and press . You are prompted to confirm that you want to delete the contents of the highlighted list variable. Press to delete the contents. To delete all lists In the List catalog, press CLEAR .
Lists 16-7 CONCAT(L1,L2) . An argumen t can be either a list var iable name (suc h as L1) or the actual list. F or ex ample, REVERSE({1,2,3}) . • If Dec imal Mark in Modes is set to Comma , use peri ods to separate ar guments. F or ex ample , CONCAT(L1.
16-8 Lists Example In HOME, store {3,5,8,12,17,23} in L5 and find the first differences for the list. { 3,5,8 ,12 ,17 ,2 3 } L 5 L Select Δ LIST L5 MAKELIST Calculates a sequence of elements for a new list. Evaluates expression with variable from begin to end values, taken at increment steps.
Lists 16-9 position of the first occurrence is returne d . A value of 0 is returned if there is no occurrence of the specified eleme nt. POS( list, element ) Example POS ({3, 7, 12, 19},12) returns 3 REVERSE Creates a list by reversing the order of the elements in a list.
16-10 Lists 2 . In HOME , store L1 in to C1. Y ou w ill then be able to see the list data in the Numer ic vi ew of the Statisti cs aplet. L1 C1 3 . St ar t the Statis tics aplet, and s elect 1-var iable mode (pre ss , if necessary , to display ) . Select Statistics Note: Y our list values are no w in column 1 (C1) .
Notes and sketches 17-1 17 Notes and sk etc hes Introduction The HP 39gs has text and pi cture editors for entering notes and sk etches. • E ach aplet has its ow n independent Note v iew and Sk etc h view . Notes and sk etches that you c reate in these vi ews ar e assoc iated w it h the apl et.
17-2 Notes and sketches Note edit keys Key M e a n i n g Space key for text entry. Displays next page o f a multi-page note. Alpha-lock for letter entry. Lower-case alpha-lock for letter entry. Backspaces cursor and deletes character. Deletes current character.
Notes and sketches 17-3 Aplet sketch view You can attach pictures to an aplet in its Sketch view ( SKETCH ). Y our wor k is automaticall y sav ed w ith the aplet . Press an y other vie w ke y or to ex it the Sketc h view Sketch keys To dra w a line 1.
17-4 Notes and sketches To draw a box 1. In Sk etch v iew , press and mo ve the cur sor to wher e you want an y corner of the box to be. 2. P r e s s . 3 . Mov e the curs or to mark the opposite corner f or the bo x. Y ou can adju st the si ze o f the box b y mov ing the cu rs or.
Notes and sketches 17-5 To label parts of a sketch 1. Pr ess and type the t ext on the edit line . T o lock the Alpha shift on, pr ess (f or uppercase) or (for low er case). T o mak e the label a smaller char acter si z e, tur n off befor e pressing .
17-6 Notes and sketches To import a graphics variable You can copy the contents of a graphics v ariable into the Sketch view of an aplet. 1. Open the Sketch v iew of the aplet ( SKETCH ). The gr aphic will be cop ied here . 2 . Pr ess , . 3 . Hi ghlight Graphic , the n pres s and highligh t the name of the var iable ( G1 , etc.
Notes and sketches 17-7 4. W rite y our note. See “Note edit k ey s ” on page 17 - 2 for mor e infor mation on the entry and editing of notes. 5 . When you ar e finish ed, pr ess or an aplet key to e xit Notepad . Y our wor k is automaticall y sav ed.
17-8 Notes and sketches To import a note You can impo rt a note from the Notepad into an aplet’s Note view, and vice versa. Suppose you wan t to copy a note named “Assignments” fr om the Notepad into the Function Note view: 1. In the F unction aplet , display the Note v ie w ( NOTE ).
Programming 18-1 18 Pr ogramming Introduction This chapter describes how to program using the hp 39gs. In this chapter you’ll learn about: • using the Pr ogram catalog to cr eate and edit progr ams • progr amming commands • stor ing and retr iev ing var iables in pr ograms • progr amming var iables.
18-2 Programming Example RUN GETVALUE: RUN CALCULATE: RUN " SHOW ANSWER " : This program is separated into three main tasks, each an individual program. Within each program, the task can be simple—or it can be di vided further into other programs that perform smaller tasks.
Programming 18-3 Program catalog keys The program catalog keys are: Key M e a n i n g Opens the highlighted program for editing. Prompts for a new program name, then opens an empty program. Transmits the highlighted program to another HP 39gs or to a disk drive.
18-4 Programming Creating and editing programs Create a new program 1. Pres s PROGRM to open the Progr a m catalog . 2. P r e s s . The HP 3 9gs prompts yo u fo r a n am e.
Programming 18-5 2 . On the left , use or to highlight a command category , then pr ess to access the commands in the category . Select the command that y ou wan t. 3 . Pr ess to paste the command into the pr ogram editor . Edit a program 1. Press PROGRM to open the Progr am catalog.
18-6 Programming Editing keys The editing keys are: Key M e a n i n g Inserts the character at the editing point. Inserts space into text. Displays previous page of the program. Displays next page of the program. Moves up or down one line. Moves right or left one character.
Programming 18-7 Using programs Run a program From HOME, type RUN program_name. or From the Program catalog, highlight the program you want to run and press Regardless of where you star t the program, all programs run in HOME. What you see will differ slightly depending on where you started the program.
18-8 Programming Copy a program You can use the following procedure if you want to make a copy of your work before editing—or if you want to use one program as a template for another. 1. Pres s PROGRM to open the Progr a m catalog . 2. P r e s s . 3 .
Programming 18-9 Delete a program To delete a program: 1. Pres s PROGRM to open the Progr am catalog. 2 . Hi ghlight a progr am to delete , then pr ess . Delete all programs You can delete all programs at once. 1. In the Pr ogram catalog , pres s CLEAR .
18-10 Programming 4. Dev elop a progr am that uses the SETVIEW S command to modify the aplet’s VIEW S menu . The menu options pr ov ide links to a ssoci ated progr ams. Y ou can spec if y an y other progr ams that you w ant trans ferr ed with the aplet .
Programming 18-11 Save the aplet 1. Open the Func tion aplet and sa ve it as “EXP ERIMENT” . T he new aplet ap pears in the Aplet library . Select Function EXP ERIMENT 2 . Cr eate a pr ogram called EXP .ME1 w ith contents as shown . This progr am confi gures the plot ra nges, then runs a progr am that allo ws y ou to set the angle fo rmat.
18-12 Programming 6 . Open the Pr ogram catalog and c reate a pr ogram named “EXP . SV” . Include the f ollow ing code in the progr am. E ach entry line after the command SETVIEW S is a trio that .
Programming 18-13 ’ ’ ’ ’ ;’ ’ EXP.ANG’ ’ ;0; The pr ogram EXP .ANG is a small r outine that is called by other pr ograms that the aplet use s. This entry spec ifies that the progr am EXP.ANG is transfer red when the aplet is tr ansferr ed, but the s pace in the fir st quotes ensur es that no entry appears on the menu .
18-14 Programming Aplet commands CHECK Checks (selects) the correspon ding function in the current aplet. For example, Check 3 would check F3 if the current aplet is Function. Then a checkmark would app ear next to F3 in Symbolic view, F3 would be plotted in Plot view, and evaluated in Numeric view.
Programming 18-15 options us e, or the pr ogr a m that def ines the aplet’s VIEW S menu. • Y ou can include a “S tart” option in the VIEW S menu to spec ify a progra m that you wa nt to run automati cally when the aplet starts. T his progr am typically sets up the aplet’s initial configur at ion .
18-16 Programming ProgramName ProgramName is the name of the program that runs when the corresponding menu entry is selected. All programs that are identified in the aplet’s SETVIEW S command are transferred when the aplet is transmitted. ViewNumber V iewNumber is the number of a view to start after the program finishes running.
Programming 18-17 View numbers The Function aplet views are numbered as fo llows: View numbers from 15 on will vary according to the parent aplet. The list shown above is for the Function aplet. Whatever the normal VIEWS menu for the parent aplet, the first entry will become number 15, the second number 16 and so on.
18-18 Programming Example 1 A : IF A==1 THEN MSGBOX " A EQUALS 1" : END: IF... THEN... ELSE... END Executes the true-clause seque nce of commands if the test- clause is true, or the false-clause sequ ence of commands if the test-clause is false.
Programming 18-19 IFERR...THEN...ELSE…END allows a program to intercept error conditions that otherwise would cause the program to abort. Its syntax is: IFERR tr ap-clause THEN clause _1 ELSE clause _2 END : Example IFERR 60/X Y: THEN MSGBOX "Error: X is zero.
18-20 Programming Example ARC 0;0;2;0;2 π : FREEZE: Dr aws a c ir cle center ed at (0, 0) of radiu s 2 . The FREEZE command causes the c i rc le to remain display ed on t he scr een until yo u pres s a k ey . BOX Draws a box with diagonally opposite corners ( x1,y1 ) and ( x2,y2 ).
Programming 18-21 Example TLINE 0;0;3;3: Er ases pre vi ously dr aw n 45 degr ee line fr om (0,0 ) to (3, 3) , or dr aws that line if it doesn ’t alread y ex ist. Graphic commands The graphic commands use th e graphics variables G0 through G9—or the Page variable from Sketch—as graphicname arguments.
18-22 Programming will superimpose G1 onto G0 starting a position (1,1), where the position is given in terms of the current axes settings, not as a pixel position. GROBXOR Using the logical XOR, superimposes graphicname2 onto graphicname1 . The upper left corner of graphicname2 is placed at position .
Programming 18-23 ZEROGROB Creates a blank graphic with given width and height , and stores it in graphicname . ZEROGROB gr aphicname ; wi dt h ; heigh t : Loop commands Loop hp allow a program to execute a routine repeatedly. The HP 39gs has three loop structures.
18-24 Programming Note that the STEP parameter is optional. If it is omitted, a step value of 1 is assumed. BREAK Terminates loop. BREAK: Matrix commands The matrix commands take variables M0–M9 as arguments. ADDCOL Add Column. Inserts values into a column before column_number in the specified matrix .
Programming 18-25 RANDMAT Creates random matrix with a specified number of rows and columns and stores the result in name ( name must be M0...M9 ). The entries will be integers ranging from –9 to 9. RANDMAT name ; rows ; c olumns : REDIM Redimensions the specified matrix or vector to size .
18-26 Programming Print commands These commands print to an HP infrared printer, for example the HP 82240B printer. PRDISPLAY Prints the contents of the display. PRDISPLAY: PRHISTORY Prints all objects in the histo ry. PRHISTORY: PRVAR Prints name and co ntents of variablename .
Programming 18-27 Example 3 A:CHOOSE A; "COMIC STRIPS"; "DILBERT"; "CALVIN&HOBBES"; "BLONDIE": CLRVAR Clears the specified va riable. The syntax is: CLRV AR var iable : Example If you have stored {1,2,3,4} in variable L1, entering CLVAR L1 w ill clear L1.
18-28 Programming Example DISPXY –3.5;1.5;2;"HELLO WORLD": DISPTIME Displays the current date and time. DISPTIME To set the date and time, simply store the correct settings in the date and time variables. Use the following formats: M.DDYYYY for the date and H.
Programming 18-29 GETKEY Waits for a ke y, then sto res the keyco de rc.p in name, where r is row number, c is column number, and p is key- plane number. The key-planes numbers are: 1 for unshifted; 2 for shifted; 4 for alpha-shifted; and 5 for both alpha-shifted and shifted.
18-30 Programming PROMPT Displays an input box with name as the title, and prompts for a value for name . name can be a variable such as A…Z, θ , L1…l9, C1…C9 or Z1…Z9. PROMPT name : WAIT Halts program execution for the specified number of seconds.
Programming 18-31 Datasetname can be SI, S2,..., or S5. Datasetname must include at least two pairs of data points. DO2VSTATS datasetname : SETDEPEND Sets datasetname dependent column . Datasetname can be S1, S2, …, or S5 and column can be C0–C9. SETDEPEND datasetname ; column : SETINDEP Sets datasetname independent column .
18-32 Programming Plot-view variables Area Function Contains the last value found by the Area function in Plot- FCN menu. Axes All Aplets Turns axes on or off. From Plot Setup, check (or uncheck) AXES . or In a program, type: 1 Axes —to turn axes on (def ault) .
Programming 18-33 Grid All Aplets Turns the background grid in Plot view on or o ff. From Plot setup, check (or uncheck) GRID . or In a program, type 1 Grid to turn the gr id on . 0 Grid to turn the gr id off (def ault) . Hmin/Hmax Statistics Defines minimum and maximum values for histogram bars.
18-34 Programming Isect Function Contains the last value found by the Inte rsection function in the Plot-FCN menu. Labels All Aplets Draws labels in Plot view showing X and Y ranges. From Plot Setup, check (or uncheck) Labels or In a program, type 1 Labels —to turn labels on .
Programming 18-35 S1mark–S5mark Statistics Sets the mark to use for scatter plots. From Plot Setup for two-variable statistics, S1mark- S5mark , then choose a mark. or In a program, type n S1mark whe re n is 1,2,3,...5 SeqPlot Sequence Enables you to choose types of sequence plot: Stairstep or Cobweb.
18-36 Programming Umin/Umax Polar Sets the minimum and maxi mum independent values. Appears as the URNG field in the Plot Setup input f orm. From the Plot Setup input form, enter values for URNG . or In a program, type Umin Umax wher e Ustep Polar Sets the step size for an independent variable.
Programming 18-37 Tstep Parametric Sets the step size for the independent variable. From the Plot Setup input form, enter values for TSTEP . or In a program, type n Tstep whe re Xcross All Aplets Sets the horizontal coordinate of the crossh airs. Only works with TRACE off.
18-38 Programming Xmin Xmax whe re Ymin / Ymax All Aplets Sets the minimum and maximum vertical values of the plot screen. Appears as the YRNG fie lds (vertical range) in the Plot Setup input form. From Plot Setup, enter the values for YRNG . or In a program, type Ymin Ymax whe re Xzoom All Aplets Sets the horizontal zoom factor.
Programming 18-39 Symbolic-view variables Angle All Aplets Sets the angle mode. From Symbolic Setup, choose Degrees , Radians , or Grads for angle measure. or In a program, type 1 Angle —for Degrees. 2 Angle —for Radians. 3 Angle —for Grads.
18-40 Programming S1fit...S5fit Statistics Sets the type of fit to be used by the FIT operation in drawing the regression line. From Symbolic Setup view, specify the fit in the field for S1FIT, S2FIT, etc. or In a program, store one of the following c onstant numbers or names into a variable S1fit , S2fit , etc.
Programming 18-41 Numeric-view variables The following aplet variabl es control the Numeric view. The value of the variable appl ies to the current aplet only. C1...C9, C0 Statistics C0 through C9 , for columns o f data. Can contain lists. Enter data in the Num eric view or In a program, type LIST C n whe re n = 0, 1, 2, 3 .
18-42 Programming Note that if Fraction or Mixed Fr action is chosen, the setting will be ignored when labeling ax es in Plot view. A setting of Scientific will be used instead. Example Scientific Format or 3 Format NumCol All Aplets except Statistics aplet Sets the column to be highlighted in Numeric view.
Programming 18-43 NumStep Function Parametric Polar Sequence Sets the step size (increment value) for an independent varia ble in Numeric view. From Num Setup, enter a value for NUMSTEP . or In a program, type n NumStep whe re NumType Function Parametric Polar Sequence Sets the table format.
Note variables The following aplet variable is available in Note view. NoteText All Aplets Use NoteText to recall text previously entered in Note view. Sketch variables The following aplet vari ables are available in Sketc h view. Page All Aplets Sets a page in a sketch set.
Extending aplets 19-1 19 Extending aplets Aplets are the application environments where you explore different classes of m athematical operations. You can extend the capabili ty of the HP 39gs in the .
19-2 Exten ding aplet s 1. Open the Solve aplet and sav e it u nder the new name . Solve | T R I A N G L E S 2 . En te r t he fou r formu l as : θ O H θ A H θ OA AB C 3 . Dec ide whether y ou want the aplet t o operate in Degr ees, Radi ans, or Grads .
Extending aplets 19-3 Using a customized aplet To use the “Triangles ” aplet, simply select the appropriate formula, change to the Numeric view and solve for the missing variable. Find the length of a ladder leaning against a vertical wall if it forms an angle of 35 o with the horizontal and extends 5 metres up the wall.
19-4 Exten ding aplet s Annotating an aplet with notes The Note view ( NOTE ) attaches a note to the current aplet. See Chapter 1 7, “Notes and sketches” . Annotating an aplet with sketches The Sketch view ( SKETCH ) attaches a picture to the current aplet.
Extending aplets 19-5 To transmit an aplet 1. Co nnect the PC or aple t disk dri ve to the calc ulator by cable or align the two calc ulators ’ infrar ed ports by matc hing up the tr iangle marks on the r ims of the calculat ors. P lace the calculator s no more than 4 inc hes (10 cm) apar t.
19-6 Exten ding aplet s Note : choo se a di sk dri ve option if y ou are using the hp3 9gs connecti vity kit to transf er the aplet . Highli ght your s election and pr ess . The T r a nsmit annunciator— —i s displayed until tr ansmissio n is complete .
R-1 R Re ference inf o rmation Glossary aplet A small application, limited to one topic. The built-in aplet types are Function, Parametric, Polar, Sequence, Solve, Statistics, Inference, Finance, Trig Explorer, Quad Explorer, Linear Solver and Triangle Solve.
R-2 list A set of values separated by commas (periods if the Decimal Mark mode is set to Comma ) and enclosed in braces. Lists are commonly used to enter statistical data and to evaluate a function with multiple values. Created and manipulated b y the List editor and catalog.
R-3 Resetting the HP 39gs If the calculator “locks up” and seems to be stuck, you must reset it. This is much like resetting a PC. It cancels certain operations, restores ce rtain conditions, and clears temporary memory locations.
R-4 If the calculator does not turn on If the HP 39gs does not turn on follow the steps below until the calculator turns on. You may find that the calculator turns on before you have completed the procedure. If the calculator still does not turn on, please contact Customer Support for further information.
R-5 To install the main batteries a. Slide up the battery compartment cover as illustrated. b. Insert 4 new AAA (LR03) batteries into the main compartment. Make sure each batte ry is inserted in the indicated direction. To install the backup battery a.
R-6 Variables Home variables The home variables are: Category Available name Complex Z1 ... Z9 , Z0 Graphic G1 ... G9 , G0 Library Function Parametric Polar Sequence Solve Statistics User-named List L1 ... L9 , L0 Matrix M1 ... M9 , M0 Modes Ans Date HAngle HDigits HFormat Ierr Time Notepad User-named Program Editline User-named Real A.
R-7 Function aplet variables The function aplet variables are: Category Availa bl e name Plot Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Simult Tracing Xcross Ycross Xtick Ytick Xm.
R-8 Parametric aplet variables The parametric aplet variables are: Category Available name Plot Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Tmin Tmax Tracing Tstep Xcross Ycross Xtic.
R-9 Polar aplet variables The polar aplet variables are: Category Availa bl e names Plot Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Umin Umax θ step Tracing Xcross Ycross Xtick Yti.
R-10 Sequence aplet variables The sequence aplet variables are: Category Available name Plot Axes Coord Grid Indep InvCross Labels Nmin Nmax Recenter SeqPlot Simult Tracing Xcross Ycross Xtick Ytick X.
R-11 Solve aplet variables The solve aplet variables are: Category Availa bl e name Plot Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yxoom Symbolic Angle E1 E2 E3 E4 E5 E6 E7 E8 E9 E0 Numer ic Digits Format NumCol NumRow Note NoteText Sketch Page PageNum HP 39gs English.
R-12 Statistics aplet variables The statistics aplet variables are: Category Available name Plot Axes Connect Coord Grid Hmin Hmax Hwidth Indep InvCross Labels Recenter S1mark S2mark S3mark S4mark S5mark StatPlot Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yxoom Symbolic Angle S1fit S2fit S3fit S4fit S5fit Numeric C0,.
R-13 MATH menu categories Math functions The math functions are: Category Availa bl e name Calculus TAYLOR Complex ARG CONJ IM RE Constant e i MAXREAL MINREAL π Hyperb . ACOSH ASINH ATANH COSH SINH TANH ALOG EXP EXPM1 LNP1 List CONCAT Δ LIST MAKELIST π LIST POS REVERSE SIZE Σ LIST SORT Loop ITERATE RECURSE Σ ∂ ∫ HP 39gs English.
R-14 Matrix COLNORM COND CROSS DET DOT EIGENVAL EIGENVV IDENMAT INVERSE LQ LSQ LU MAKEMAT QR RANK ROWNORM RREF SCHUR SIZE SPECNORM SPECRAD SVD SVL TRACE TRN Polynom.
R-15 Program constants The program constants are: Tests < ≤ = = ≠ > ≥ AND IFTE NOT OR XOR Trig ACOT ACSC ASEC COT CSC SEC Category Av ailable nam e (Continued) Category Availa bl e name Angle Degrees Grads Radians Format Standard Fixed Sci Eng Fraction SeqPlot Cobweb Stairstep S1.
R-16 Physical Constants The physical constants are: Category Available Nam e Chemist • Avogadro (A vogadr o’s Number , NA) • Boltz . (Boltmann, k) • mol.
R-17 Program commands The program commands are: Category Command Aplet CHECK SELECT SETVIEWS UNCHECK Branch IF THEN ELSE END CASE IFERR RUN STOP Drawing ARC BOX ERASE FREEZE LINE PIXOFF PIXON TLINE Gr.
R-18 Status messages Stat-Two DO2VSTATS SETDEPEND SETINDEP Category Command (Continued) Message Meaning Bad Argument Type Incorrect input for this operation. Bad Argument Value The value is out of range for this operation. Infinite Result Math exception, such as 1/0.
R-19 Invalid Syntax The function or command you entered does not include the proper arguments or order of arguments. The delimiters (parentheses, commas, periods, and semi-colons) must also be correct. Look up the function name in the index to find its proper syntax.
HP 39gs English. book Page 20 Wednes day, December 7, 2005 11:24 PM.
W-1 L imited W arr ant y HP 39gs Graphing Calculator; Warranty period: 1 2 months 1. HP war rants to you , the end-user customer , that HP hard war e, access ories and supplies w ill be fr ee from defec ts in materials and w orkmanship after the date of pur chase , for the peri od spec ified abo ve.
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W-5 Regulatory information Federal Communications Commission Notice This equipment has been tested and found to comply with the limits for a Class B digital device , pursuant to Part 15 of the FCC Rules. These limi ts are designed to provide reasonable protection agains t harmful interference in a residential installation.
W-6 Houston, Texas 77269-2000 Or, call 1-800-474-6836 For questions regarding this FCC declaration, co ntact: Hewlett-Packard Company P. O. Box 692000, Mai l Stop 510101 Houston, Texas 77269-2000 Or, call 1-281-514-3333 To identify this product, refer to the part, series, or model number found on the product.
W-7 Korean Notice Disposal of Waste Equipment by Users in Private Household in the European Union This symbol on the product or on its packaging indicates that this product must not be disposed of with your other household waste.
HP 39gs English. book Page 8 Wednesd ay, December 7, 2005 11:24 PM.
I-1 Index A absolute value 13-5 add 13-3 algebraic entry 1-19 alpha characters typing 1-6 alphabetical sorting 19-6 angle measure 1-10 in statistics 10-12 setting 1-11 animation 17-5 creating 17-5 ann.
I-2 C calculus operatio ns 13-7 catalogs 1-30 chronological sorting 19-6 circle drawi ng 17-4 clearing aplet 19-3 characters 1-2 2 display 1-2 2 display history 1-25 edit line 1-22 lists 16-6 plot 2-7.
I-3 definite integral 13-6 deleting aplet 19-6 lists 16-6 matrices 15-5 programs 18-9 statistical data 10-11 delimiters, programming 18-1 derivatives definition of 13-6 in Function aplet 13-22 in Home.
I-4 font size change 3-8 , 17-5 forecasting 10-20 fraction number format 1-11 full-precision display 1-10 function analyze graph with FCN tools 3-4 definition 2-2 , R-1 entering 1-19 gamma 13-1 2 inte.
I-5 EXPM1 13-10 LNP1 13-10 SINH 13-9 TANH 13-9 hypothesis alternative 11-2 inference tests 11-8 null 11-2 tests 11-2 I i 13-8 implied multiplication 1-20 importing graphics 17-6 notes 17-8 increasing .
I-6 generate a series 16 -8 list function syntax 16-6 list variables 16-1 returning position of element in 16-8 revers ing order in 16-9 sending and receiving 16-6 sorting elements 16-9 storing elemen.
I-7 singular value decomposition 15-13 singular values 15-13 size 15-12 spectral norm 15-13 spectral radius 15-13 start Matrix Editor 18-24 storing elements 15-3 , 15-5 storing matrix elements 15-6 sw.
I-8 recalcul ating 2-18 setup 2-16 , 2-19 O off automatic 1-1 power 1-1 on/cancel 1-1 One-Proportion Z-Interval 11-17 One-Sample T-Interval 11-18 One-Sample T-Test 11-12 One-Sample Z-Interval 11-15 On.
I-9 polynomial coefficients 13-11 evaluation 13-11 form 13-11 roots 13-12 Taylor 13-7 polynomial functions POLYCOEF 13-11 POLYEVAL 13-11 POLYFO RM 13-11 POLYROOT 13-12 ports 19-5 position argument 18-.
I-10 regression analysis 10-17 fit models 10-13 formula 10-12 user-defined fit 10-13 relative error statistical 10-18 resetting aplet 19-3 calculator R-3 memory R-3 result copying to edit line 1-22 re.
I-11 aplets in chronological order 19 -6 elements in a list 16-9 spectral norm 15-13 spectral radius 15-13 square root 13-5 stack history printing 18-26 stairsteps graph 6-1 standard number format 1-1.
I-12 setting 18-28 time, converting 13-14 times sign 1-20 tmax 18-36 tmin 18-36 too few arguments R-19 tracing functions 2-8 more than one curve 2-8 not matching plot 2-8 plots 2-8 transmitting lists .
I-13 Z Z-Interval 11-15 zoom 2-17 axes 2-12 box 2-9 center 2-9 examples of 2-11 factors 2-13 in 2-9 options 2-9 , 3-8 options within a table 2-17 out 2-9 redrawing table of numbers op- tions 2-17 square 2-10 un-zoom 2-11 within Numeric view 2-17 X-zoom 2-9 Y-zoom 2-10 HP 39gs English.
HP 39gs English. book Page 14 Wednes day, December 7, 2005 11:24 PM.
Ein wichtiger Punkt beim Kauf des Geräts HP (Hewlett-Packard) 39gs (oder sogar vor seinem Kauf) ist das durchlesen seiner Bedienungsanleitung. Dies sollten wir wegen ein paar einfacher Gründe machen:
Wenn Sie HP (Hewlett-Packard) 39gs noch nicht gekauft haben, ist jetzt ein guter Moment, um sich mit den grundliegenden Daten des Produkts bekannt zu machen. Schauen Sie zuerst die ersten Seiten der Anleitung durch, die Sie oben finden. Dort finden Sie die wichtigsten technischen Daten für HP (Hewlett-Packard) 39gs - auf diese Weise prüfen Sie, ob das Gerät Ihren Wünschen entspricht. Wenn Sie tiefer in die Benutzeranleitung von HP (Hewlett-Packard) 39gs reinschauen, lernen Sie alle zugänglichen Produktfunktionen kennen, sowie erhalten Informationen über die Nutzung. Die Informationen, die Sie über HP (Hewlett-Packard) 39gs erhalten, werden Ihnen bestimmt bei der Kaufentscheidung helfen.
Wenn Sie aber schon HP (Hewlett-Packard) 39gs besitzen, und noch keine Gelegenheit dazu hatten, die Bedienungsanleitung zu lesen, sollten Sie es aufgrund der oben beschriebenen Gründe machen. Sie erfahren dann, ob Sie die zugänglichen Funktionen richtig genutzt haben, aber auch, ob Sie keine Fehler begangen haben, die den Nutzungszeitraum von HP (Hewlett-Packard) 39gs verkürzen könnten.
Jedoch ist die eine der wichtigsten Rollen, die eine Bedienungsanleitung für den Nutzer spielt, die Hilfe bei der Lösung von Problemen mit HP (Hewlett-Packard) 39gs. Sie finden dort fast immer Troubleshooting, also die am häufigsten auftauchenden Störungen und Mängel bei HP (Hewlett-Packard) 39gs gemeinsam mit Hinweisen bezüglich der Arten ihrer Lösung. Sogar wenn es Ihnen nicht gelingen sollte das Problem alleine zu bewältigen, die Anleitung zeigt Ihnen die weitere Vorgehensweise – den Kontakt zur Kundenberatung oder dem naheliegenden Service.
