@Help@`, Functions in the ALG menu | HP 49g specification

Functions in the ALG menu

The ALG (Algebraic) menu is available by using the keystroke sequence

(associated with the	key). With system flag 117 set to
‚×	‚

CHOOSE boxes, the ALG menu shows the following functions:

Rather than listing the description of each function in this manual, the user is invited to look up the description using the calculator’s help facility:

. To locate a particular function, type the first letter of theIfunctionL.
@)HELP@`	—˜		@@OK@@		~c
For example, for function COLLECT, we type					, then use the up and
down arrow keys,			, to locate COLLECT within the help window.
To complete the operation press				. Here is the help screen for function
COLLECT:

We notice that, at the bottom of the screen, the line See: EXPAND FACTOR

suggests links to other help facility entries, the functions EXPAND and
FACTOR. To move directly to those entries, press the soft menu key			for
EXPAND, and	for FACTOR. Pressing	, for example, shows the
	@SEE2!	@SEE1!
following information for EXPAND, while		shows information for FACTOR:

@SEE2!	@SEE1!Page 5-4

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HP 49g manual @Help@`, Functions in the ALG menu

Contents

User’s manual Graphing calculatorPage Preface Page Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operations Solution to equations Operations with lists Vectors Matrices and linear algebra Multi-variate Calculus Applications GraphicsCalculus Applications Vector Analysis Applications Probability Distributions Differential EquationsStatistical Applications Service, W-2 Regulatory information, W-4 Limited Warranty W-1Numbers in Different Bases Basic Operations Chapter Getting startedBatteries Contents of the calculator’s display Tool menu MenusAssociated with the six soft menu keys, F1 through F6 Setting time and date Introducing the calculator’s keyboardPage Alpha function, to enter the upper-case letter P Selecting calculator modes~„p Operating Mode 23.0 √ 3.*5.-1/3.*3./23.3+EXP2.5 Lets try now the expression proposed earlier Number Format and decimal dot or comma Page Page Page Angle Measure Coordinate System Selecting CAS settings Explanation of CAS settings Selecting Display modes Selecting the display font Selecting properties of the line editor Selecting properties of the Stack References Selecting properties of the equation writer EQW Editing expressions in the stack Chapter Introducing the calculatorCalculator objects Creating arithmetic expressions Result³5*„Ü1+1/7will be shown„ÜR3as follows -2Q3`.5 Resulting…in³5*„Ü1+1/7the output„ÜR3-2Q3`.5 Creating algebraic expressions + y Using the Equation Writer EQW to create expressions Edited expression*„Ü5+1/3looks as follows + 2 ⋅ 5 + ~‚n Subdirectories Organizing data in the calculatorHome directory For this example, the Home Variables Locks the alphabetic keyboard in lower case. When lockedTyping variable names Name Contents Type Creating variables 3V5K~a12` ³~„r/„Ü Checking variables contents ‚å‚é~„r³„ì Using the right-shift key followed by soft menu key labels Deleting variables Using function Purge in the stack in Algebraic modeUsing function Purge in the stack in RPN mode @PURGE@J@@p1@@` Choose boxes vs. Soft Menu Undo and CMD functionsWe use Show Prog menu list and select Memory ‚¯ Page Display now shows Not shown in this screen. To Find it we use To activate the Order command we press the soft menu key Chapter Calculations with real numbers Operation key, namely Examples in ALG modeExamples of real number calculations For both, ALG and RPN modes, using the Equation Writer Directly on the stack Key. When Combination When calculating in the stack in ALG modeRPN mode, enter the number first, then the function, e.g „¸Page RPN mode \„¸45`‚¹ Real number functions in the MTH menu Hyperbolic functions and their inverses Pressing shows the remaining options Units menu With unitsKey or Page Labels will be listed Available unitsFor Set of units Key or Keystroke sequence to navigate Through the menus Attaching units to numbers With the keyboard, e.g.,will produce the entry Using Ubase to convert to the default unit 1 m results Operations with units Different terms in parentheses, e.g 12m 3250mi Unit conversions @@OK@@-˜Physical constants in the calculator These operations produce the following output Copies value with or without units to the stack When selected, constants are shown with units attachedWhen selected, constants are shown without units Exit constants library Like this Display shows what is called a tagged value Here Defining and using functionsWhich produces ‚@@@H@@ ‘LNx+1 + EXPx’ Entered by using You could try Chapter Calculations with complex numbers Setting the calculator to Complex modeTo work with complex numbers select the CAS complex mode Definitions Polar representation of a complex number Entering complex numbersTo enter the unit imaginary number type the I key Simple operations with complex numbers Cmplx menus Cmplx menu through the MTH menu Cmplx menu in the keyboard Functions applied to complex numbers Function Droite equation of a straight line Function Droite is found in the command catalog Reference Chapter Algebraic and arithmetic operations Entering algebraic objects Simple operations with algebraic objects Press To recover Variable menu @HELP@` Functions in the ALG menu To execute the command Catalog To complete the operation Trig menu, triggered by using Expansion and factoring using log-exp functionsExpansion and factoring using trigonometric functions Operations with transcendental functions Shows the following menu Functions in the Arithmetic menuNumbers or to polynomials. The remaining options 1. Integer Horner function PolynomialsX6-1 = X5-5*X4+25X3-125X2+625X-3125X+5+15624 Proot function VariablePcoef function Quotient and Remainder functions Peval function FractionsSIMP2 function Partfrac function Propfrac functionFcoef function Step-by-step operations with polynomials and fractions Froots function Reference Symbolic solution of algebraic equations Chapter Solution to equationsFunction Isol Function Solve Page Function Solvevx Function Zeros Numerical solver menu Enter vector of coefficients Polynomial EquationsSolve equation Page Page Financial calculations Solving equations with one unknown through NUM.SLV Solution to simultaneous equations with Mslv Solution shown is X 4.5006E-2Page Reference Creating and storing lists Chapter Operations with listsChanging sign Addition, subtraction, multiplication, division Functions‚Napplied to lists When applied to lists, acts a concatenation operatorExample MTH/LIST menu Lists of complex numbersLists of algebraic objects Inverse 1/x Calculate product of elements in the list Calculate increment among consecutive elements in listCalculate summation of elements in the list Sorts elements in increasing order SEQ function SEQ function, available through the command catalog , takesMAP function Reference Typing vectors in the stack Chapter VectorsEntering vectors General row vector Vector Vector of algebraics Storing vectors into variables in the stack Mode Then, ‚íinVectors can also be entered by using the matrix writer Stored into variables Key is used to edit the contents of a selected cell WID Function Delete Will delete Key will add a column full of zeros at the locationCell of the spreadsheet Selected Addition, subtraction Simple operations with vectorsUsed in the following exercises Multiplication by a scalar, and division by a scalar Absolute value function Dot product MTH/VECTOR menuMagnitude Examples Cross product Chapter Matrices and linear algebra Entering matrices in the stack Display in RPN mode will look very similar to these Typing in the matrix directly into the stack Operations with matrices Addition and subtraction Multiplication RPN mode, try the following eight examples Cij = aik ⋅ bkj , for i = 1,2, , m j = 1,2, , n Page Function DET Solution of linear systemsCharacterizing a matrix The matrix Norm menu Function Trace 2x1 + 3x2 -5x3= Using the numerical solver for linear systemsPress Following input form will be provide right Can be written as the matrix equation A⋅x = b, if @SOLVE Solution with the inverse matrix Solution by division of matrices Chapter Graphics Graphs options in the calculator Plotting an expression of the form y = fx Them simultaneously if in RPN mode Use a range of -4 toAs an example, lets plot the function Here is picture To recover the menu, and return to the PlotAlso, check that for x = -1.48 , y = Press Then To see the table, press Soft menu key You will be returned to normal calculator displayZoom factor = 0.5. Toggle Suggested early, namely x = Option Decimal Produces x-increments Option Integer Fast 3D plotsKey simply changes the font in the table from small to big, To return to normal calculator display press Values of 10 and 8 for the Step data Find Fast3DYou can change Orientation @EDITL Reference$ Press To leave the Edit environment Limits and derivatives Chapter Calculus ApplicationsCalc Calculus menu Function lim Including some limits Infinity symbol is associated with Key, .eMenu within the Calcl menu Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsIf and only if, fx = dF/dx, and C = constant Xdx = F b − F a Functions TAYLR, TAYLR0, and Series ⋅ x − x o n Reference Chapter Multi-variate Calculus Applications Partial derivatives Multiple integrals Y dA = b Φ x , y dydx = Del operator Chapter Vector Analysis ApplicationsGradient Curl DivergenceAlternatively, use function Deriv as follows Chapter Differential Equations Solution to linear and non-linear equationsCALC/DIFF menu Ldec Function Ldec Which can be simplified to Function Desolve= K1⋅e-3x+ K2⋅e5x + K3⋅e2x + 450⋅x2+330⋅x+241/13500 Variable Odetype DESOLVE` Laplace Transforms Laplace transform and inverses in the calculator Fourier series for a quadratic function Function FOURIER`Where Exercises. Function Collect is available in the ALG menu Thus = 1/3, c MTH/PROBABILITY.. sub-menu part Chapter Probability DistributionsFactorials, combinations, and permutations Random numbers „´The Normal distribution MTH/PROB menu partStudent-t distribution Chi-square distribution F distribution Chapter Statistical Applications Entering data‚Ù5 Sample vs. population Now Obtaining frequency distributions Ƒ3.Fitdata Fitting data to a function y = fxCan be used Lines in RPN mode Using Key select all the options for outputs, i.e When that field is selected StatisticsTo access the summary stats… option, use Obtaining additional summary statistics Press to obtain the following results Confidence intervalsOffers the following options Interpreted as follows @GRAPH Interval information Corresponding interval limits 21.88424 and 24.51576. Press Return to the previous results screen, and/or press @@@OK@@@ Select ∝ ≠ 150. Then, press Result is Writing non-decimal numbers Chapter Numbers in Different BasesBase menu With system flag 117 set to Soft menus, the Base menu shows @HEX Chapter Using SD cardsStoring objects in the SD card Recalling an object from the SD card Purging an object from the SD card Limited Warranty Service Canada 905 206-4663 or 800- HP Rotc = Rest of the country Regulatory information USA