Matlab Toolbox Symbolic Interactionism

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  • Page 5 and 6: Contents1IntroductionProduct Overvi
  • Page 7 and 8: Solving Algebraic Equations .......
  • Page 9 and 10: Variable-Precision Arithmetic .....
  • Page 11 and 12: 1Introduction• “Product Overvie
  • Page 13 and 14: Accessing Symbolic Math Toolbox Fun
  • Page 15 and 16: 2Getting Started• “Symbolic Obj
  • Page 17 and 18: Symbolic Objectsx + x + yans =2*x +
  • Page 19 and 20: Symbolic ObjectsTo learn more about
  • Page 21 and 22: Creating Symbolic Variables and Exp
  • Page 23 and 24: Creating Symbolic Variables and Exp
  • Page 25 and 26: Creating Symbolic Variables and Exp
  • Page 27 and 28: Performing Symbolic Computationsa s
  • Page 29 and 30: Performing Symbolic Computationsans
  • Page 31 and 32: Performing Symbolic ComputationsTo
  • Page 33 and 34: Performing Symbolic Computationssym
  • Page 35 and 36: Performing Symbolic Computationsans
  • Page 37 and 38: Performing Symbolic Computationsint
  • Page 39 and 40: Performing Symbolic Computationsx =
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  • Page 43 and 44: Performing Symbolic Computations3-D
  • Page 45 and 46: Assumptions for Symbolic ObjectsAss
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  • Page 49 and 50: 3Using Symbolic MathToolbox Softwar
  • Page 51 and 52: Calculusdiff(g,2)ans =-2*exp(x)*sin
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    Calculusans =-s^2*sin(s*t)Note that

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    CalculusTo calculate the Jacobian m

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    Calculusandans =-sin(x)limit((1 + x

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    CalculusObserve that the default ca

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    Calculusfsyms x n;f = x^n;syms y;f

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    Calculusf a, b int(f, a, b)syms x;f

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    Calculussyms a positive;The argumen

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    Calculussums to 1/(1 - x), provided

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    Calculusxd = 1:0.05:3; yd = subs(g,

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    Calculus(3 x 2 +6 x−1)/(x 2 +x−

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    CalculusHorizontal and Vertical Asy

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    CalculusNote MATLABdoesnotalwaysret

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    Calculushold offThe extra argument,

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    Simplifications and Substitutionsin

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    Simplifications and Substitutionsfs

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    Simplifications and SubstitutionsAs

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    Simplifications and Substitutionsfs

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    Simplifications and Substitutions1r

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    Simplifications and Substitutionsf

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    Simplifications and Substitutionsso

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    Simplifications and Substitutions(a

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    Simplifications and Substitutionsez

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    Variable-Precision ArithmeticVariab

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    Variable-Precision ArithmeticThe sy

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    Variable-Precision ArithmeticIn the

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    Linear AlgebraLinear AlgebraIn this

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    Linear AlgebraThe commandH = hilb(3

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    Linear Algebra[ 9.0, -36.0, 30.0][

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    Linear Algebrainv(H)produces the me

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    Linear AlgebraThe first eigenvalue

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    Linear AlgebraYou also find that fa

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    Linear Algebratransformation matrix

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    Linear Algebra[U,S,V] = svd(A);prod

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    Linear Algebra0.0000351099906120.00

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    Linear Algebraformat longe = eig(A)

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    Linear Algebrafor k = 0:2c = sym2po

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    Linear Algebra22492512 t (t + 6)---

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    Linear AlgebraThis shows that the d

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    Linear Algebrasigma = double(sol.x(

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    Solving EquationsNote that these ex

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    Solving EquationsS =a: [2x1 sym]u:

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    Solving EquationsExample 1The follo

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    Solving EquationsDifferential Equat

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    Solving Equations6*2^(1/2)*t*cos(2^

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Integral Transforms and Z-Transform

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    Special Functions of Applied Mathem

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    Special Functions of Applied Mathem

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    Special Functions of Applied Mathem

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    Special Functions of Applied Mathem

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    Special Functions of Applied Mathem

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    Using GraphicsUsing GraphicsIn this

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    Using Graphicssyms t;ezpolar(sin(6*

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    Using Graphicsu = sin(x^2 + y^2); v

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    Using GraphicsPlotting Multiple Sym

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    Using Graphicsgraph. Suppose, you h

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    Using Graphicsx = (1-t)*sin(100*t);

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    Using GraphicsInteractive data expl

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    Using Graphicschanging the values o

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    Generating Code from Symbolic Expre

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    Generating Code from Symbolic Expre

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    Generating Code from Symbolic Expre

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    Generating Code from Symbolic Expre

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    Generating Code from Symbolic Expre

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    Generating Code from Symbolic Expre

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    Generating Code from Symbolic Expre

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    4MuPAD in Symbolic MathToolbox•

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    Understanding MuPAD ®Conceptually,

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    Understanding MuPAD ®f := exp(-x^2

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    Understanding MuPAD ®Note The synt

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    Understanding MuPAD ®For details o

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    MuPAD ® for MATLAB ® UsersMuPAD H

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    MuPAD ® for MATLAB ® UsersTip MuP

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    MuPAD ® for MATLAB ® Users• Ent

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    MuPAD ® for MATLAB ® UsersNow cha

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    MuPAD ® for MATLAB ® UsersSynchro

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    MuPAD ® for MATLAB ® UsersEditing

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    MuPAD ® for MATLAB ® UsersThe MuP

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    MuPAD ® for MATLAB ® Users4-25

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    MuPAD ® for MATLAB ® UsersNoteboo

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integration of MuPAD ® and MATLAB

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    Integrating Symbolic Computations i

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    Integrating Symbolic Computations i

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    Integrating Symbolic Computations i

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    Integrating Symbolic Computations i

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    5Function ReferenceCalculus (p. 5-2

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    SimplificationrrefsvdtriltriuComput

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    Special FunctionsSpecial Functionsc

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    ConversionsrsumstaylortoolInteracti

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    Integral and Z-Transformsmodprettyq

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    Functions — AlphabeticalList6

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    Arithmetic Operations. Array left

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    ccodePurposeSyntaxDescriptionExampl

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    ceilPurposeSyntaxDescriptionExample

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    charConvert a symbolic matrix to a

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    coeffsPurposeSyntaxDescriptionExamp

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    coeffs[c,t] = coeffs(z, [x y])The r

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    colspacePurposeSyntaxDescriptionExa

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    composea =1/(sin(y)^2 + 1)b =1/(sin

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    cosintPurposeSyntaxDescriptionCosin

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    detPurposeSyntaxDescriptionExamples

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    diagdiag(v, -2)The result is:ans =[

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    diffPurposeSyntaxDescriptionExample

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    digitsPurposeSyntaxDescriptionVaria

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    digitsHidden round-off errors can c

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    digitsans =3.142ans =3.142ans =3.14

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    docPurposeSyntaxDescriptionExamples

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    dsolvePurposeSyntaxDescriptionOrdin

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    dsolvea differentiation operator is

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    dsolveExamplesSolve these ordinary

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    dsolveBy default, the solver applie

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    dsolve| 1 || #1 - -- || #1 || || 1/

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    eigPurposeSyntaxDescriptionCompute

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    eig973/2561lambda =[ 0, 0, 0, 0, 0]

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    eqWhen testing mathematical equival

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    erfans =0.5205ans =0.9539ans =0.954

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    erf[ 0, 1][ erf(1/3), -1]ans =erf(1

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    erfcans =0.4795erfc(1.41)ans =0.046

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    erfcM = sym([0 inf; 1/3 -inf]);V =

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    evalinSee AlsoHow Todoc | feval | r

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    expandPurposeSyntaxDescriptionSymbo

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    expandExpand the expressions that f

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    expandHow To • “Simplifications

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    ezcontoursyms x yf = 3*(1-x)^2*exp(

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    ezcontourfPurposeSyntaxDescriptionE

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    ezcontourfIn this particular case,

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    ezmeshExamplesThis example visualiz

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    ezmeshcPurposeSyntaxDescriptionComb

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    ezmeshcSee Also ezcontour | ezconto

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    ezplotezplot(x,y,[tmin,tmax]) plots

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    ezplotSee Also ezcontour | ezcontou

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    ezplot3See Also ezcontour | ezconto

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    ezpolar6-85

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    ezsurff(x,y) =real(atan(x + iy))ove

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    ezsurfcPurposeSyntaxDescriptionComb

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    ezsurfcSee Also ezcontour | ezconto

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    factor2*3^2*5*101*3541*3607*3803*27

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    fevalEvaluating log with two parame

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    finversePurposeSyntaxDescriptionExa

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    floorPurposeSyntaxRound symbolic ma

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    fortranH(2,2) = 1.0D0/3.0D0H(2,3) =

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    fourierExamplesFourier Transformf(

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    fracPurposeSyntaxDescriptionExample

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    funtoolText FieldsThe top of the co

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    funtoolf*a Replaces f(x) by f(x) *

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    gammaPurposeSyntaxDescriptionGamma

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    getVarPurposeSyntaxDescriptionExamp

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    gradientThe gradient is a vector wi

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    heavisidePurposeSyntaxCompute Heavi

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    hessianExamplesCompute the Hessian

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    hypergeomPurposeSyntaxGeneralized h

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    ifourierPurposeSyntaxDescriptionInv

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    ilaplacePurposeSyntaxDescriptionInv

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    ilaplaceSee Alsoifourier | iztrans

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    intPurposeSyntaxDescriptionTipsSymb

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    intIgnoreSpecialCasesIf the value i

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    intint(acos(sin(x)), x)By default,

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    intint(sin(sinh(x)), x)If int canno

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    int8PurposeSyntaxDescriptionConvert

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    invans =[ 16, -120, 240, -140][ -12

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    iztransExamplesInverse Z-TransformM

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    jordanPurposeSyntaxDescriptionExamp

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    lambertwPurposeSyntaxDescriptionLam

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    laplacePurposeSyntaxDescriptionLapl

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    latexPurposeSyntaxDescriptionExampl

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    limitPurposeSyntaxDescriptionExampl

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    log10PurposeSyntaxDescriptionSee Al

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    matlabFunctionPurposeSyntaxDescript

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    matlabFunctiont2 = x.^2;t3 = y.^2;t

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    matlabFunctionThe created file cont

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    matlabFunctionBlockvalue entries sh

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    matlabFunctionBlockf = asin(x) + ac

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    mfunlistPurposeSyntaxDescriptionSyn

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    mfunlistmfun Special Functions (Con

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    mfunlistmfun Special Functions (Con

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    mfunlistOrthogonal Polynomials (Con

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    mupadPurposeSyntaxDescriptionExampl

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    mupadwelcomePurposeSyntaxDescriptio

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    nullPurposeSyntaxDescriptionExample

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    numdenPurposeSyntaxDescriptionExamp

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    openmnPurposeSyntaxDescriptionExamp

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    openmuphlpPurposeSyntaxDescriptionO

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    openxvzPurposeSyntaxDescriptionOpen

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    polyx^3 - 6*x^2 + 11*x - 6s =z^3 -

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    poly2symans =(6253049924220329*x^2)

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    prettySolve this equation, and then

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    psiPurposeSyntaxDigamma functionpsi

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    psiForsomesymbolic(exact)numbers,ps

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    psiSee AlsogammaHow To • “Speci

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    ankPurposeSyntaxCompute rank of sym

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    eadBefore you can call this procedu

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    ealPurposeSyntaxReal part of comple

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    oundPurposeSyntaxDescriptionExample

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    sumsPurposeSyntaxDescriptionExample

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    setVarPurposeSyntaxDescriptionExamp

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    simpleInputArgumentsSA symbolic exp

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    simpleexpand:cos(x) + sin(x)*icombi

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    simplifyPurposeSyntaxDescriptionTip

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    simplifySimplify the expressions fr

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    simplify- W k(x·e x )=x for all va

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    simplifyFractionExamplesSimplify th

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    simscapeEquationPurposeSyntaxDescri

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    singlePurposeSyntaxDescriptionSee A

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    sinintSee Alsocosint6-227

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    solvePurposeSyntaxDescriptionEquati

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    solveSymbolic expressions or string

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    solveExamplesIf the right side of a

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    solveWhen solving a system of equat

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    solveYou can find this solution by

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    solvesolve(x^5 - 3125, x, 'Real', t

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    solvesyms x clear;When you solve a

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    solve• ln(a b )=b·ln(a) for all

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    sortsyms a b c d e;sort([7 e 1 c 5

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    subexprPurposeSyntaxRewrite symboli

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    subsTip If A is a matrix, the comma

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    svdPurposeSyntaxDescriptionExamples

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    symPurposeSyntaxDescriptionDefine s

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    syminvolved in the original evaluat

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    symassumption on all its elements i

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    sym2polyPurposeSyntaxDescriptionExa

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    symenginePurposeSyntaxDescriptionEx

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    symprodA symbolic number, variable,

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    symsPurposeShortcut for constructin

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    symsumPurposeSyntaxDescriptionTipsI

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    symsumsyms ksymsum(k^2, 0, 10)symsu

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    symvarsymvar(w)The result is:ans =[

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    taylorPurposeSyntaxDescriptionTipsT

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    taylorf fm f ( )f( x) f 0 0

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    taylorx^4/24 + x^3/6 + x^2/2 + x +

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    taylortoolSee Alsofuntool | rsumsHo

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    trilPurposeSyntaxDescriptionExample

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    triuPurposeSyntaxDescriptionExample

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    uint8PurposeSyntaxDescriptionConver

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    vpa3.141592653589793238462643w =1.6

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    vpaHidden round-off errors can caus

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    vpa3.142 - 0.5515*epsNow, increase

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    wrightOmegaans =2.3061wrightOmega(-

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    wrightOmegaCalmet, B. Benhamou, O.

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    zetaCompute the Riemann zeta functi

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    ztransExamplesZ-Transformf(n) =n 4

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    IndexIndexSymbols and Numerics' 6-3

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    IndexGGamma function 3-109 6-111Geg

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    Indexreduced row echelon form 6-206

  • The UCOP-Project provides a small framework to define a systems functionality in a UseCase-oriented way. The goal is to provide a programming paradigm that leads to a minimal gap between the dynamic model (use cases) and the implementation.

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Matlab allows symbolic operations several areas including: * Calculus * Linear Algebra * Algebraic and Differential Equations * Transforms (Fourier, Laplace, etc). 'symbolic interactionism,' as well as for formulating the most prominent version of the theory (Blumer 1969). FORM is a symbolic manipulation system. It reads text files containing definitions of mathematical expressions as well as statements that tell it how to manipulate these expressions.

TheoryRelated:Define Symbolic Systems - Symbolic Systems Inc - Symbolic Systems Stanford - Symbolic Solver - Symbolic Interactionism Theory

Symbolic Interactionism Pdf


Matlab Symbolic Toolbox

Pages : 1 | 2 | 3>

Symbolic Interactionism Examples

Symbolic Math Toolbox provides functions for solving, plotting, and manipulating symbolic math equations. MATLAB SYMBOLIC TOOLBOX. The Symbolic Toolbox is different from all other Matlab Toolboxes. Some of the information in this tutorial is taken from Mastering Matlab by Duane Hanselman and Bruce Littlefield. Download Matlab Toolbox Symbolic.