Hp 49g Graphing Calculator Manual de usuario

How memory is structured...11-1Accessing port contents...

To view a plot picture stored in a variable1. Press (WR)-2. Press the function key corresponding to the variable containing the plot picture.You may

To reconstruct a plot from its stored versionThis procedure is best done in RPN mode.1. Press®.2. Press the function key associated with the variabl

Chapter 11MemoryThis section describes the memory structure of tire HP 49G. It describes how to create backup objects of data that you want to save, a

Unlike the HOME directory, port memory cannot be subdivided into directories. A port can only contain two types of objects:® backup objects ® library

You can use File Manager to copy and delete backup objects in a similar fashion to normal calculator objects. In addition, there are specific commands

Storing and deleting backup objectsThere are three ways to create a backup object:» Use File Manager to copy the object to a port. With this method, t

You can also execute an object from the command line as follows:® In RPN mode:- To evaluate a backup object, enter::Port_Number: Backup_Name variable

Library objectsA library is a collection of objects that extend the calculator’s fimctionality. You can execute objects in a library, but you can neit

Deleting a libraryTo delete a library from a port, use the following commands. In the commands, port^number is the number of the port you stored your

Port 2Port 2 is part of the Flash ROM. As with port 1, it is not possible to store objects larger than 128KB. Flash ROM is organized as 8 areas of 128

Creating menus...13-1To create a custom menu...

Chapter 12Date and time arithmetic Date and time FormatsThe following table illustrates the date and time formats available on the HP 49G. The time an

You can also use this procedure to set the date and time.You can also set the date by executing the ^date command, and set the time by exec

Calculating with datesTo add days to a given date1. Enter tire date in number format (see the table on page page 12-1).For example: 3.212001 (that is

To determine the number oFdays between two dates1. Press ® ddays.2. Enter the first date in number format (see the table on page page 12-1). For exa

To convert a time in HMS format to decimal Format1. Press (CAT) HMS^.2. Enter the time in HMS format.For example: 5.1231 (that is, 5 hours, 12 minut

System timeSystem time is kept in ticks of the clock. Each tick is 1/8192 of a second in duration. System time can be converted to standard time (in b

To calculate elapsed time in seconds1. To prepare to start timing, press2. To start timing, press (ENTER).3. To prepare to stop timing, press4. To

Chapter 13 CustomizationCreating menusThe HP 49G enables you to create a custom menu. The menu can contain labels for operations, commands, and other

To display a custom menu1. Press 0 (SUH)-The menu labels appear across the bottom of your screen. You access a menu item by pressing the corresponding

PrefaceThis guide contains infomiation on the advanced fimctionality of theHP 49G. It is a supplement to the Pocket Guide and User’s Guide that isship

Assigning user keysYou can assign commands and other objects to a user key (including shifted keys).To assign an object to a user key1. Press &f)

To assign a command to a user key1. Press (OT) STOREYS.Between the parentheses, enter a list with the command name as the first element—enclosed withi

To enable disabled keys1. Press ® DB^LKEYS.2. lype 0 (that is, zero).3. PressIn RPN mode: follow steps 2 and 1.If you assign or disable the keys ne

Chapter 14Computer Algebra CommandsDescription:Access:Input:This chapter details the computer algebra operations that are available on the HP 49G.For

Flags: Details of how flag settings affect the operation of thefunction or command.Example: An example of the fimction or command.See also: Related

Computer algebra command categoriesThe following is an index of the computer algebra commands, listed in menu order.Algebra commandsEXPAND...

Calculus commandsDerivation and integration commandsCURL... 14-11DERIV... 14-12DERVX...

Trigonometry commandsAC0S2S ...14-6ASIN2C...14-8ASIN2T...14-8ATAN2S ...

Alphabetical command listThe following pages contain the commands in alphabetical order. See “Computer algebra conunand categories” on page 14-3 to vi

• Chapter 14, Computer algebra commands describes each of the computer algebra commands that the calculator contains, and what each command does.The

Example: Simplify the following expression:a rc cos + arc cos (x)Command:AC0S2S(ACOS(2/3)+ACOS(X))Result: n/2-ASIN{2/3) +Tt/2-ASIN(X)See also: ASIN2

ASIN2CType:Description:Access:Input:Output:Flags:Transfonns an expression by replacing asin(ir) sub expressions with Tc/2-acos(a;) sub expressions.Tri

Flags:Exact mode must be set (flag -105 clear). Niiiueric mode must not be set (flag -03 clear).AXLType:Description:Access:Input:Output:Flags:Example:

AXQType:Description:Access:Input:Output:Flags:Example:Converts a square matrix into the associated quadratic form.CommandCommand:Result:See also:Conve

CHINREMType: CoiTUTiandDescription: Solves a system of simultaneous polynomialcongruences in the ring Z[x].Access: Arithmetic, R1(MTR] polynomialIn

Example: Find the curl of the following vector function:2 "I T(\' = X yi + x~yj + y^zkyCommand: CURL ( [X"2*Y, X''2*Y, Y^

Output:Flags:See also:The derivative, or a vector of the derivatives, of the function or functions.Exact mode must be set (flag -105 clear).Numeric mo

Flags:Example:Command:Result:See also:Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).Find the divergence of th

Output: Level 2/Item 1: The quotient. Level 1/Item 2: The remainder.Flags: Exact mode must be set (flag -105 clear). Numeric mode must not be set (fla

Flags:Exact mode must be set (flag -105 clear). Numeric mode must not be set (flag -03 clear).Example:Modulo the default modulus, 3, divide 5a’^+4x+2

Chapter 1Entering commandsThere are a ramrber of ways you can enter a command:• by pressing the key or keys for the command• by selecting the comman

Access:Arithixietic, RiM) POLYNOMIALInput:Level 2/Argiiment 1: The expression coiTesponding to a in the equation.Level 1/Argiiment 2: The expression c

EULERType: FunctionDescription:For a given integer, retimrs the niunber of integers less than the integer that are co-prime with the integer. (Euler’s

EXPANType:CommandDescription:Expands and simplifies an algebraic expression. This conunand is identical to the EXPAND command. It is included to ensur

EXPANDMODType:Description:Access:Input:Ontpnt:Flags:Example:Command:Result:FunctionExpands and simplifies an algebraic expression, modulo the current

See also: SINCOSFACTORType: CommandDescription:Factorizes a polynomial or an integer:• The fimction expresses a polynomial as the product of in’educib

Command: FACTORMOD {X^'2 + 2 )Result: (X+1)*(X-1)FACTORSType:Description:Access:Input:Output:Flags:Example 1: Command: Result:Example 2: Comman

Flags: Exact mode must be set (flag -105 clear). Numeric mode must not be set (flag -03 clear).Example: Find the rational polynomial corresponding to

See also:If complex mode is set (flag -103 set), FROOTS looks for complex solutions as well as real solutions.If approximate mode is set (flag -105 se

D contains the coefficients of the diagonal representation.Level 2/Argument 3: The diagonal representation of the quadratic form.Level 1/Argument 4: A

GCDMODType:Description:Access:Input:Output:Flags:See also:FunctionFinds the greatest common divisor of two polynomials modulo the current modulus.Arit

units menu i arithmetic menu i complex number menu (0 SEE)) base menu (0 {№Tliese subject-specific menus have keys allocated to them on the keyboard.T

HALFTANType:Description:Access:Input:CommandTransforms an expression by replacing sin(ar), cos(a:) and tan(a:) sub expressions with tan(a;/2) terms.Tr

Flags: Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).See also: CURLDIVHILBERTType:Description:Access:Input:

Flags: Exact mode must be set (flag -105 clear). Numeric mode must not be set (flag -03 clear).Example: For r = 3, find the result of executing a Home

See also:ABCUVlEGCDIBERNOULLIType:FimctionDescription:Returns the nth Bernoulli number for a given integer.Access: Catalog, @DInput:Level 1/Ai'gi

Level 2: x*COS (X)Level 1: SIN(X)Result: Level 2: SIN(X).XLevel 1: -SIN(X)Command 2: Apply the INTVX conamand to level 1, -SIN (X)Result: Level 2: S

IDIV2Type:CommandDescription: For two integers, a and b, returns the integer part of a/h, and the remainder, r.Access:Arithmetic, RiWTH] integerInput:

ILAPType:FunctionDescription:Returns the inverse Laplace transform of an expression. The expression must evaluate to a rational fraction.Access: Calcu

INTVXType:FunctionDescription: Finds the antiderivative of a fimction symbolically, with respect to the current default variable.Access:Calculus, 0(£1

IQUOTType: FimctionDescription:Returns the integer quotient of two integers. That is, given two integers, a and b, returns the integer q, such that:a

Flags: Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).See also: NEXTPRIMEPREVPRIMEJORDANType: CommandDescrip

Entering a command From a sub-menu1With the main menu displayed, highlight the name of the sub-menu.You can do this by:® pressing ® imtil the sub-menu

Command: LAGRANGE {'3426 7 8 9„ , 8x"-63x‘+151X-60Result; ---------------------------LAPType: FimctionDescription:Performs a Laplace tra

Command; LAPL(EXP{X) *COS (Z*Y) , [X,Y, Z] ) EXPAND(ANS(1))Result: - ( (Y^2 + Z^2-l) *EXP (X) *COS (Z*Y)LCMType: FunctionDescription; Returns the lea

Output: The resulting matrix.Flags: Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).Example: Build a 2 x 3 m

Command:LEGENDRE{4)Result: (35*X^4-30*X^2+3)/8LGCDType:FunctionDescription: Returns the greatest conunon divisor of a list of expressions or values.Ac

UNType:CommandDescription:Linearizes expressions involving exponential terms.Access:Exponential and logarithm, 0(И1)Input:An expression.Output:The lin

See also: LVARFlags: Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).LNCOLLECTType:CommandDescription:Simplif

MADType: CommandDescription: Returns details of a square matrix.Access:Matrices, R (R1ces)operationsInput:A square matrixOutput: Level 4/Item 1: The d

Flags:Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).MULTMODType:FunctionDescription: Performs modulai' m

PA2B2Type: CommandDescription: Takes a prime number, p, such thatp=2 or p = 1 modulo 4, and returns a Gaussian integer a + ib such thatp = a,^ + b^. T

PCARType: CommandDescription: Returns the characteristic polynomial of an n x n matrix.Access:Matrices, R(MAlilS) EIGENVECTORSInput: A square matrix.O

Command catalogThe HP 49G provides a single choose list that contains all its commands. This is called the command catalog.Displaying the command cata

PREVALType:FunctionDescription:With respect to the current default variable, returns the difference between the values of a fimction at two specified

See also: ISPRIME?NEXTPRIMEPROPFRACType: CommandDescription:Splits an improper fraction into an integer part and a fraction part.Access: Arithmetic, R

PsiType:FunctionDescription: Calculates the digamma function in one point. The digainina fimction is the derivative of the natiual logarithm (In) of t

Output: The quotient of the Euclidean division.Flags: Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).3 2Exa

Output:Flags:See also:Level 1/Item 1: The real number converted to an integer.Exact mode must be set (flag -105 clear).Numeric mode must not be set (f

Input: Level 2/Ai'gument 1: Tlie polynomial expression.Level 1/Argument 2: The variable with respect to which the reordering is performed.Output

Example:Command:Result:See also:Find the antiderivative of the following function, with respect to y:y +3y + 2RISCH(Y''3-3*Y+2,Y)l/3*Y"

RREFMODType: CommandDescription:Performs modular row-reduction to echelon form on a matrix, modulo the current modulus.Access: Catalog, {CAT)Input:A m

SEVALType:Description:Access:Input:FunctionIn the given expression, evaluates any existing variables that the expression contains and substitutes thes

See also: SIGMA, RISCHSIGNTABType: CommandDescription:Tabulates the sign of a rational function of one variable.Access: Catalog, (Cl)Input:An algebrai

commands are displayed in your currently selected system font. If, for example, you have chosen System 8 as your current system font, you will see onl

SINCOSType: CommandDescription:Converts complex logarithmic and exponential expressions to expressions with trigonometric terms.Access:Trigonometry, F

SOLVEVXDescription: Finds zeros of an expression with respect to the cun-entvariable, or solves an equation with respect to the ciuxent variable. (Yo

Example:Substitute X = z+l for X in the following expression, and apply the EXPAND command to simplify the result:+ 3x + lCommand:SUBST {X-'2 + 3

TABVALType:Description:Access:Input:Output:Flags:Example:Command:Result:For an expression and a list of values, returns the results of substituting th

Flags:Exact mode must be set (flag -105 clear). Numeric mode must not be set (flag -03 clear).TAN2SCType:CommandDescription:Replaces tan(,r) sub-expre

TAYLOROType:Description:Access:Input:Output:Flags:FunctionPerforms a fourth-order Taylor expansion of an expression at a; = 0.Calculus, 0(® LIMITS &am

TEXPANDType: CommandDescription: Expands transcendental fimctions.Access:Trigonometry, 0QlG)Input: An expression.Output: The transfonnation of the exp

TRANType:CommandDescription:Returns the transpose of a matrix.Access:Matrices, H (MATRICES) OPERATIONSInput:A matrix.Output:The transposed matrix.Flag

TRIGCOSType:Description:Access:Input:Output:Flags:See also:Simplifies a trigonometric expression by applying theidentity:2 2 (sinx) +(cosx) = 1Return

Output: The transformed expression.Flags: Exact mode must be set (flag -105 clear).Numeric mode must not be set (flag -03 clear).See also: TRIGCOS,

While the alpha keyboard is active, you can also search for a command that begins with a special character by typing that character and then one or mo

VANDERMONDEType:Description;Access:Input:Output:Flags;Example:Builds a Vandermonde matrix from a list of objects. That is, for a list of n objects, th

XNUMType:Description:Access:Input:Output:Example:Command:Results:Converts an object or a list of objects to approximate nmneric format.CommandCatalog,

ZEROSType:Description:Access:Input:Ontpnt:Flags:Returns the zeros of a function of one variable, withoutmultiplicity.Symbolic solve, R(SM)Level 2/Argu

IndexAABCUV 14-6 AC0S2S 14-6 ADDTMOD 14-7 algebra, linear 5-19 AND 8-5 array 5-1adding columns 5-4 adding rows 5-4 column norm 5-14 delete colunm 5-4

Ddatedisplay 12-2 format 12-1 datescalculating with 12-3 decompose matrix 5-21 decomposition Schur 5-21 singular value 5-22 deleting characters 3-5 DE

invert matrix 5-16 INVMOD 14-34 IQUOT 14-35 IRAM 11-1 IREMAINDER 14-35 ISPRIME? 14-35JMJORDAN 14-36Llabeluser-defined 10-1 label axes 10-1 labels 3-3

PCAE 14-46 PICT, size of 10-4 plotsrecalling 10-7restoring 10-6saving 10-6 plotting range 10-4 ports 11-10 11-71 11-72 11-7contents of 11-8 postfix

s''';<?s«g®::'"A'^ 'ii« /€t#'./ ^ ..mHEWLETT'PACKARDAustralian Calculator Operatibt;K‘ / /&apo

Chapter 2 System FlagsSystem flags provide you with some control over how the HP 49G behaves and displays infomiation. For example, by setting flag -6

Setting and clearing FlagsMethod 1Use this method only if the flag you want to change is listed in the System Flags list.1. With the System Flags lis

Setting or clearing several Flags at onceIn algebraic mode, the syntax is:command^llist}')In RPN mode, enter a list of the flags you want to set

Flag commandsThe flag commands are listed and explained in the table below. The flag commands enable you to set and clear flags as well as having a va

Chapter 3Command line operationsThe command line is where you enter and edit conunands and objects. The HP 49G provides numerous tools to assist you w

Positioning the cursorWlien editing the object on the command line, you will almost always need to reposition the cursor.Main methods: single-line com

Helpful commands and sub-menusLike all other HP 49G applications, the command line editor has its own Tool menu. This menu is displayed by pressing (T

FIND The Find command is on the Search sub-menu. You can use this command to send the ciu'sor to the character or character string you specify. S

Editing the command LineDeleting charactersThe simplest way to delete a character is to position the cm'sor to the immediate right of the charact

Inserting charactersBy default, any character you enter on the command line will be inserted between the characters on either side of the cursor. To r

Evaluating components oF the command lineIf there is a component of your object that could be evaluated—such as a mathematical expression—^you can sel

Tlie HP 49G provides a number of search aird replace commands to help you edit multiline objects (such as arrays and programs). These are available fr

5. If you do not want a case sensitive search, press CHK.The tick in the Case Sensitive field is deleted. Your search will now look for both the uppe

ReplaceThe Replace command searches through the object on the command line and highlights the first instance of a character or character string that m

10. Press OK or (ENTER) to begin the search.If your search string is found, it will be highlighted on the command line; othei-wise a message is displa

Command Line informationThe command line editor Tool menu also provides general infonnation about the object on the command line and the position of t

StylesYou can set the style of a command line entry to bold, italic, underlined, or inverted, or to any combination of these characteristics. You can

Chapter 4The StackThe HP 49G keeps a record of the objects you enter and the results of your operations. In algebraic mode this record is called histo

In RPN mode, you enter:-JdU_________________________3In other words, in RPN mode 52 and 3 are entered onto the stack before the conunand is entered; 5

HP49GGRAPHING CALCULATORADVANCED USER’S GUIDEVersion 1HP 49GciLe.; (¿M' (iik0 IT fl • ^ ’< ►/¡'0 0 4V -c <3 (3 fl «o a a a a o

Using a multi-argument command2! 23l: 97Method 11. Enter the arguments, pressing (ENTER) after each one.2. Execute the command.Example: To calcula

Multi-command calculationsBecause the result of a calculation is retained on the stack, you can easily perform complex calculations by accumulating th

Chapter 5Matrices and linear algebraThe HP 49G has extensive capabilities for entering and manipulating anrays. An array object can be a vector or mat

Method 2: the GOTO command1. Press GOTO.The Matrix Writer input form is displayed.Note that the GOTO command is on the second page of the Matrix Writ

To make the cells narrower or wider• Press ^WID to make the cells nan"ower.More columirs ai'e displayed.® Press WID-^ to make the cells wid

Manipulating columns and rowsTo insert a column1. Move the cursor to the column where you wairt the new coliuun to appear.2. Press +COL. A coliurm o

To add a row below the bottom row oF data1. Move the cursor to the row below the last row of data.Pressing 0 ® will move the cursor directly to the l

Summary oF Matrix Writer operationsKey DescriptionEDITPlaces the contents of the ciuTent cell on the command line for editing.VECFor one-row arrays, t

Advanced matrix operationsCreating special matricesTo create an array Riled with a given constant1. Select the Constant Array command.0 (WTRICESl CRE

To create an array filled with random integers1. Select tlie Random Matrix comnaaird.0 {Bm CREATE RANM2. Enter either:• a list containing the dimens

To assemble a matrix with a particular diagonal From a vector1. Select the Vector-to-Matrix Diagonal conmiand.0 {MS§) create diag^2. Enter the vecto

Disassembling matricesTo disassemble a matrix into its elements1. Select the Object-to-Stack conomand.0 (PRG) TYPE OBJ->2. Enter or select the ma

To insert one or more new rows into a matrix1. Select the Insert Row command.0 (MATRICES) CRBTATE ROW ROW+2. Enter or select the ari’ay you want to

To extract a particular row From an array1. Select the Delete Row command.0 (illCES) CREATE ROW ROW-2. Enter or select the array with the row you wa

To swap two columns in an array1. Select the Colmim Swap command,0 (MfiCB) CREATE COLUMN CSWP2. Entei" or select the matrix with the coluimis y

Matrix calculations are often sensitive to special characteristics of the matrices used. The HP 49G has a number of commands that return characteristi

Keys (Continued)DescriptionR (iWRICES) OPERATIONS SRAD Returns the spectral radius of a square matrix. The spectral radius is the absolute value of th

TransForming matricesTo transpose a matrix1. Select the appropriate Transpose Matrix command:® 0 EH) MATRIX MAKE TEN (if you want the conjugate tran

More matrix arithmeticSimple matrix arithmetic is covered in chapter 8 of the HP 49G User’s Guide. This section covers some of the other aritlimetic o

To combine two real matrices into a complex matrix1. Select the Real-to-Complex command.0 (M® COMPLEX R^C2. Enter or select the real matrix that wil

ContentsPreface viiMaterial covered...viiThe HP 49G documentation set

To extract the matrix of imaginary parts From a complex matrix1. Select the Imaginary Part function.0 COMPLEX IM2. Enter or select the complex matri

To compute the eigenvalues and eigenvectors For a square matrix1. Select the Eigenvalues and Eigenvectors command.0 (iliCES) EIGENVECTOR EGV2. Enter

To decompose or factor a matrixThe HP 49G offers a set of matrix decomposition and factorization tools that you can use either alone or in program rou

Keys (Continued)DescriptionR (MATRICES) FACTORIZATION SVDSingular Value Decomposition. This command factors an m x n matrix A into an m X m orthogonal

Chapter 6 Unit objectsThe Units application contains a catalog of 127 imits that you can combine with real numbers to create unit objects. It also pro

Unit objectsA unit object has two parts: a real number and a unit expression (a single unit or multiplicative combination of imits). The two parts are

To assemble a unit object from the stack1. Place the number part of the unit object on level 2 of the stack and the mrit expression on level 1.The im

Converting unitsThe HP 49G provides two commands for converting imit objects from one unit of measurement to another:® CONVERT ® DBASE.Tire CONVERT co

The CONVERT command discussed in the previous section can be used to convert to any specified units, SI units or otheiTvise. If you want to convert a

The trigonometric operations SIN, COS, and TAN, operate only on unit objects with-planar ang-ular units: radians (r), degrees (°), grads (grad), arc-m

Using the stack ...4-1Example stack calculations ...

Powers. To cube 2ft/s.1. Enter (2_ft/s).Note that when you are in algebraic mode and raising a imit object to a power, the unit object must be entere

Factoring unit expressionsThe UFACT command factors one unit within a unit object, returning a luiit object whose unit expression consists of the fact

Conversions between the four temperature scales (K, °C, °F, and °R) involve additive constants as well as multiplicative factors. The additive constan

Example 2: Convert 25°C/min to °F/min.Note that unlike in the first example, in this example a relative temperature conversion will be performed.1.

Chapter 7 Constants LibraryThe constants libraiy contains a collection of conunonly used physical constants and quantities. You can use them in equati

AbbreviationDescription Value (SI)mpProton rest mass 1.6726231E-27 kgmpme mp/me1836.152701aFine stmcture constant 0.007297353080Magnetic flux qiianti

To view the constants library1. Press (№PS) CONSTANTS LIB.2. Press (ENTER).In RPN mode: follow step 1 only.To view the value and units oF a particul

To include a constant in an algebraic expressionYou can include a constant in an expression you are creating on the command line or in Equation Writer

Chapter 8 Number basesEntering and displaying binary integersYou can enter and display integers in one of four fonns:® decimal (base 10)* hexadecimal

The settings for flags -11 and -12 determine the current base. The DEC, HEX, OCT, and BIN commands control the settings of these flags:-11Set Clear-12

Ovei^view of the Units application...6-1Unit objects ...

Binary integers are displayed on the HP 49G with a space after the # sign. You do not need to enter a space when creating a binary integer.If you spec

To convert a binary integer to a diFFerent number base1. Press (CAT) n, where n is the command that represents the base you want to convert to: DEC,

Using Boolean operatorsThe HP 49G provides a number of commands that enable you to perfonu Boolean operations and comparisons on binary integers. Thes

Manipulating bits and bytesThe following commands enable you to manipulate binaiy integers one bitor one byte at a time. The commands are available by

Chapter 9Lists and Sequences Creating ListsTo enter a List From the keyboard1. Press CQ}. The braces indicate the beginning and end of a list.2. Ent

To append a new object to the end oF a list1. Enter or select the list.2. Press 0.3. Enter or select the new object.4. Press (H).In RPN mode: foll

If you are executing a postfix fxmction, or working in RPN mode, the steps you should take are given in the following table.PrefixPostfixAlgebraic1, 2

To concatenate two listsTo concatenate two lists is to form a list made up of the elements of botlr lists. The order of tire elements in each sub-list

Applying a Function or program to a ListThe DOLIST coiranand enables you to run programs or execute fmrctions on groups of lists.To run a program or e

Example: Find the 2-element moving average of {2, 4, 8, 16, SOj.1. Enter the list.2. Enter the frame index.In this example, the number is 2, as you

Creating Lists... 9-1To enter a list from the keyboard...

List ManipulationsThe following functions provide ways to manipulate the elements of a list:FunctionDescriptionQ (MTHl LIST SORTSorts the elements in

Function (Continued)Description0 (flGlLIST ELEMENTS POSReturns the position of the first occurrence of an element (argument 2/level 1) in a specified

SequencesSequence commands automate the generation of a list from the repeated execution of a fimction or program.To generate a sequenceIn algebraic m

If you had entered 2 for the step value at step 6, then every second integer in the specified range would have been included in the iterations, and th

Chapter 10Advanced plotting options Labelling and relocating the axesTo label the coordinate axes with the variable namesThe names of the independent

To label the axes with user-defined labels1. Select the axes command from the command catalog i2. Enter a list containing the horizontal and vertica

The following diagram is of the same plot as in the previous illustration, but the axes now meet where x =1 and y =1.Plotting programsYou can plot a p

Plotting range vs. display rangeThe plotting range is the range of the independent variable (or variables) over which the current equation is evaluate

4. Enter a complex niuxiber to indicate the coordinates, in user units, of the comer of PICT diagonally opposite the comer specified at step 2 above.

Saving and Restoring PlotsA plot consists of several components:• The plot picture (that is, a graphic object).• The current equation or equations (