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HP 49g manual Lists of complex numbers, Lists of algebraic objects, MTH/LIST menu

Models: 49g

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ABS		INVERSE (1/x)

Lists of complex numbers

You can create a complex number list, say, L5 = L1 ADD i*L2 (type the instruction as indicated before), as follows:

Functions such as LN, EXP, SQ, etc., can also be applied to a list of complex numbers, e.g.,

Lists of algebraic objects

The following are examples of lists of algebraic objects with the function SIN applied to them (select Exact mode for these examples -- See Chapter 1):

The MTH/LIST menu

The MTH menu provides a number of functions that exclusively to lists. With system flag 117 set to CHOOSE boxes, the MTH/LIST menu offers the following functions:

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HP 49g manual Lists of complex numbers, Lists of algebraic objects, MTH/LIST menu

Contents

Hp 49g+ graphing calculator User’s manualPrinting History Preface Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operationsSolution to equations Operations with listsVectors Matrices and linear algebraMulti-variate Calculus Applications GraphicsCalculus Applications Vector Analysis ApplicationsProbability Distributions Differential EquationsStatistical Applications Limited Warranty W-1 Using SD cardsNumbers in Different Bases Basic Operations Chapter Getting startedBatteries Contents of the calculator’s display Menus Tool menuSetting time and date Introducing the calculator’s keyboardPage Selecting calculator modes Operating Mode √ 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 modesSelecting the display font Selecting properties of the line editor Selecting properties of the Stack References Selecting properties of the equation writer EQWEditing expressions in the stack Chapter Introducing the calculatorCalculator objects Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + yUsing the Equation Writer EQW to create expressions Page + 2 ⋅ 5 +  x + 2µ ⋅ ∆y  + eHome directory Organizing data in the calculatorSubdirectories Variables Typing variable namesCreating variables Page Page Checking variables contents Page Using function Purge in the stack in Algebraic mode Deleting variablesUndo and CMD functions Using function Purge in the stack in RPN modeChoose boxes vs. Soft Menu Show Prog menu list and select Memory Page References Chapter Calculations with real numbers Examples of real number calculationsPage Page Using powers of 10 in entering data Page Real number functions in the MTH menu Hyperbolic functions and their inversesPage Operations with units Units menuPage Available units Attaching units to numbers Operations with units Page Physical constants in the calculator Unit conversionsEngl Defining and using functions ‘LNx+1 + EXPx ‘ Reference Chapter Calculations with complex numbers Setting the calculator to Complex modeDefinitions Entering complex numbers Polar representation of a complex numberSimple operations with complex numbers Cmplx menus Cmplx menu through the MTH menuCmplx menu in keyboard Functions applied to complex numbers Function Droite equation of a straight lineReference Chapter Algebraic and arithmetic operations Entering algebraic objectsSimple operations with algebraic objects `‚¹ Functions in the ALG menu CollectPage Expansion and factoring using trigonometric functions Expansion and factoring using log-exp functionsOperations with transcendental functions Functions in the Arithmetic menu Polynomials Horner functionProot function VariablePcoef function Quot and Remainder functionsPeval function FractionsSIMP2 function Partfrac function Propfrac functionFcoef function Froots function Step-by-step operations with polynomials and fractions− 5X 2 + 3X − Reference Symbolic solution of algebraic equations Chapter Solution to equationsFunction Isol Function Solve Page Function Solvevx Function ZerosNumerical solver menu Polynomial Equations @SOLVE@Solve for coefficients ˜@SYMB@ Financial calculations Solving equations with one unknown through NUM.SLVSolution to simultaneous equations with Mslv Page Reference Operations with lists of numbers Chapter Operations with listsCreating and storing lists Changing signAddition, subtraction, multiplication, division Functions applied to lists Lists of algebraic objects Lists of complex numbersMTH/LIST menu ∆LIST SEQ function MAP functionEntering vectors Chapter VectorsTyping vectors in the stack Using the Matrix Writer Mtrw to enter vectors Storing vectors into variables in the stackPage Page Simple operations with vectors Addition, subtractionMultiplication by a scalar, and division by a scalar Absolute value functionMagnitude MTH/VECTOR menuDot product Cross product Chapter Matrices and linear algebra Using the Matrix WriterEntering matrices in the stack Typing in the matrix directly into the stack Operations with matrices Addition and subtractionMultiplication Cij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Page Function DET Solution of linear systemsCharacterizing a matrix The matrix Norm menu Function Trace=  a Using the numerical solver for linear systems M x2 Solution with the inverse matrix Solution by division of matricesChapter Graphics Graphs options in the calculatorPlotting an expression of the form y = fx = 1 exp− xGenerating a table of values for a function Page Fast 3D plots Left-1 Right1 Near-1 Far Low High Step Indep Depnd Page Reference Limits and derivatives Chapter Calculus ApplicationsCalc Calculus menu Function limFunctions Deriv and Dervx Xdx = F x + C Anti-derivatives and integralsFunctions INT, INTVX, RISCH, Sigma and Sigmavx Infinite series Definite integralsFunctions TAYLR, TAYLR0, and Series Reference Chapter Multi-variate Calculus Applications Partial derivativesMultiple integrals Φ x, ydydxGradient Chapter Vector Analysis ApplicationsDel operator ∇ = i ⋅ ∂ + j ⋅ ∂ + k ⋅ ∂ ∂x ∂y ∂zDivergence CurlChapter Differential Equations Solution to linear and non-linear equationsCALC/DIFF menu Function Ldec Function Desolve Yx = 5 ⋅ exp−x3 / 3 ⋅ expx3 / 3 ⋅ dx + C0Variable Odetype DesolveLaplace Transforms Laplace transform and inverses in the calculatorFunction Fourier Fourier series= ∑ c n Fourier series for a quadratic functionPage Reference Factorials, combinations, and permutations Chapter Probability DistributionsMTH/PROBABILITY.. sub-menu part − 2... − + 1 = − rRandom numbers Normal distribution MTH/PROB menu partStudent-t distribution Chi-square distribution F distributionEntering data Chapter Statistical ApplicationsCalculating single-variable statistics Page Obtaining frequency distributions Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation Covariance Obtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Base menu Chapter Numbers in Different BasesWriting non-decimal numbers HEX DEC OCT BIN Chapter Using SD cardsStoring objects in the SD card Recalling an object from the SD card Purging an object from the SD cardLimited Warranty Service HP Invent Regulatory information USA