Table des matières

• Index
• The CAS functions
  • Symbolic constants : e pi infinity i
  • Booleans
    • The values of a boolean : true false
    • Tests : ==, !=, >, >=, <, =<
    • Boolean operators : or xor and not
    • Transform a boolean expression as a list : exp2list
    • Evaluate booleans : evalb
  • Operators bit to bit
    • Operators bitor, bitxor, bitand
    • Hamming distance bit to bit : hamdist
  • Strings
    • Character and string : "
    • First character, middle and end of a string : head mid tail
    • Concatenation of a sequence of words : cumSum
    • ASCII code of a character : ord
    • ASCII code of a string : asc
    • String defined by the ASCII codes of its characters : char
    • Find a character in a string : inString
    • Concat objects into a string : cat
    • Add an object to a string : +
    • Transform an integer into a string : cat +
    • Transform a string into a number : expr
  • Write an integer in a b basis: convert
  • Integers (and Gaussian Integers)
    • The factorial : factorial
    • GCD : gcd igcd
    • GCD : Gcd
    • GCD of a list of integers : lgcd
    • The least common multiple : lcm
    • Decomposition into prime factors : ifactor
    • List of prime factors : ifactors
    • Matrix of factors : maple_ifactors
    • The divisors of a number : idivis divisors
    • The integer Euclidean quotient : iquo intDiv
    • The integer Euclidean remainder : irem remain smod mods mod %
    • Euclidean quotient and euclidean remainder of two integers : iquorem
    • Test of evenness : even
    • Test of oddness : odd
    • Test of pseudo-primality : is_pseudoprime
    • Test of primality : is_prime isprime isPrime
    • The smallest pseudo-prime greater than n : nextprime
    • The greatest pseudo-prime less than n : prevprime
    • The n-th prime number : ithprime
    • Bézout's Identity : iegcd igcdex
    • Solving au+bv=c in $\mathbb {Z}$: iabcuv
    • Chinese remainders : ichinrem, ichrem
    • Chinese remainders for lists of integers : chrem
    • Solving a² + b² = p in $\mathbb {Z}$ : pa2b2
    • The Euler indicatrix : euler phi
    • Legendre symbol : legendre_symbol
    • Jacobi symbol : jacobi_symbol
  • Combinatory analysis
    • Factorial : factorial !
    • Binomial coefficients : binomial comb nCr
    • Arrangements : perm nPr
    • Random integers : rand
  • Rationals
    • Transform a floating point number into a rational : exact float2rational
    • Integer and fractional part : propfrac propFrac
    • Numerator of a fraction after simplification : numer getNum
    • Denominator of a fraction after simplification : denom getDenom
    • Numerator and denominator of a fraction : f2nd fxnd
    • Simplification of a pair of integers : simp2
    • Continued fraction representation of a real : dfc
    • Transform a continued fraction representation into a real : dfc2f
    • The n-th Bernoulli number : bernoulli
    • Access to PARI/GP commands: pari
  • Real numbers
    • Eval a real at a given precision : evalf and Digits, DIGITS)
    • Usual infixed functions on reals : +,-,*,/,^
    • Usual prefixed functions on reals : rdiv
    • n-th root : root
    • Error function : erf
    • Complementary error function: erfc
    • The $\Gamma$ function : Gamma
    • The $\beta$ function : Beta
    • Derivatives of the DiGamma fonction : Psi
    • The $\zeta$ function : Zeta
    • Airy functions : Airy_Ai and Airy_Bi
  • Permutations
    • Random permutation : randperm
    • Decomposition as a product of disjoint cycles : permu2cycles
    • Product of disjoint cycles to permutation: cycles2permu
    • Transform a cycle into permutation : cycle2perm
    • Transform a permutation into a matrix : permu2mat
    • Checking for a permutation : is_permu
    • Checking for a cycle : is_cycle
    • Product of two permutations : p1op2
    • Composition of a cycle and a permutation : c1op2
    • Composition of a permutation and a cycle : p1oc2
    • Product of two cycles : c1oc2
    • Signature of a permutation : signature
    • Inverse of a permutation : perminv
    • Inverse of a cycle : cycleinv
    • Order of a permutation : permuorder
    • Group generated by two permutations : groupermu
  • Complex numbers
    • Usual complex functions : +,-,*,/,^
    • Real part of a complex number : re real
    • Imaginary part of a complex number : im imag
    • Write a complex as re(z)+i*im(z) : evalc
    • Modulus of a complex number : abs
    • Argument of a complex number : arg
    • The normalized complex number : normalize unitV
    • Conjuguate of a complex number : conj
    • Multiplication by the complex conjugate : mult_c_conjugate
    • Barycenter of complex numbers : barycentre
  • Algebraic expressions
    • Evaluate an expression : eval
    • Evaluate algebraic expressions : evala
    • Prevent evaluation : quote hold '
    • Force evaluation : unquote
    • Distributivity : expand fdistrib
    • Canonical form : canonical_form
    • Multiplication by the conjugate quantity : mult_conjugate
    • Separation of variables : split
    • Factorisation : factor
    • Complex factorisation : cFactor
    • Zeros of an expression : zeros
    • Complex zeros of an expression : cZeros
    • Normal form : normal
    • Simplify : simplify
    • Normal form for rational fractions : ratnormal
    • Substitue a variable by a value : subst
    • Substitue a variable by a value (Maple and Mupad compatibility) : subs
    • Evaluate a primitive at boundaries: preval
    • Sub-expression of an expression : part
  • Values of u_n
    • Array of values of a sequence : tablefunc
    • Table of values and graph of a recurrent sequence : tableseq and plotseq
  • Operators or infixed functions
    • Usual operators :+, -, *, /, ^
    • Xcas operators
    • Define an operator: user_operator
  • Functions and expressions with symbolic variables
    • Difference between function and expression
    • Transform an expression into a fonction : unapply
    • Top and leaves of an expression : sommet feuille op
  • Functions
    • Context-dependant functions.
    • Usual functions
    • Defining algebraic functions
    • Composition of two functions: @
    • Repeted function composition: @@
    • Define a fonction with the history : as_function_of
  • Derivation and applications.
    • Functional derivative : function_diff
    • Length of an arc : arcLen
    • Maximum and minimum of an expression: fMax fMin
    • Table of values and graph : tablefunc and plotfunc
    • Derivative and partial derivative
  • Integration
    • Antiderivative and definite integral : integrate int Int
    • Discrete summation: sum
    • Riemann sum : sum_riemann
    • Integration by parts : ibpdv et ibpu
    • Change of variables : subst
  • Limits
    • Limites : limit
    • Integral and limit
  • Rewriting transcendental and trigonometric expressions
    • Expand a transcendental and trigonometric expression : texpand tExpand
    • Combine terms of same type : combine
  • Trigonometry
    • Trigonometric functions
    • Expand a trigonometric expression : trigexpand
    • Linearize a trigonometric expression : tlin
    • Put together sine and cosine of the same angle : tcollect tCollect
    • Simplify : simplify
    • Transform arccos into arcsin : acos2asin
    • Transform arccos into arctan : acos2atan
    • Transform arcsin into arccos : asin2acos
    • Transform arcsin into arctan : asin2atan
    • Transform arctan into arcsin : atan2asin
    • Transform arctan into arccos : atan2acos
    • Transform complex exponentials into sin and cos : sincos exp2trig
    • Transform tan(x) into sin(x)/cos(x) : tan2sincos
    • Rewrite tan(x) with sin(2x) and cos(2x) : tan2sincos2
    • Rewrite tan(x) with cos(2x) and sin(2x) : tan2cossin2
    • Rewrite sin, cos, tan in terms of tan(x/2) : halftan
    • Rewrite trigonometric functions as function of tan(x/2) and hyperbolic functions as function of exp(x): halftan_hyp2exp
    • Transform inverse trigonometric functions into logarithms : atrig2ln
    • Transform trigonometric functions into complex exponentials : trig2exp
    • Simplify and express preferentially with sine : trigsin
    • Simplify and express preferentially with cosine : trigcos
    • Simplify and express preferentially with tangents : trigtan
    • Rewrite an expression with different options : convert convertir
  • Fourier transformation
    • Fourier coefficients : fourier_an and fourier_bn or fourier_cn
    • Discrete Fourier Transform
    • Fast Fourier Transform : fft
    • Inverse Fast Fourier Transform : ifft
    • An exercice with fft
  • Exponentials and Logarithms
    • Rewrite hyperbolic functions as exponentials : hyp2exp
    • Expand exponentials : expexpand
    • Expand logarithms : lnexpand
    • Linearize exponentials : lin
    • Collect logarithms : lncollect
    • Expand powers : powexpand
    • Rewrite a power as an exponential : pow2exp
    • Rewrite exp(n*ln(x)) as a power : exp2pow
    • Simplify complex exponentials : tsimplify
  • Polynomials
    • Convert to a symbolic polynomial : r2e poly2symb
    • Convert from a symbolic polynomial : e2r symb2poly
    • Coefficients of a polynomial: coeff coeffs
    • Polynomial degree : degree
    • Polynomial valuation : valuation ldegree
    • Leading coefficient of a polynomial : lcoeff
    • Trailing coefficient degree of a polynomial : tcoeff
    • Evaluation of a polynomial : peval polyEval
    • Factorize xⁿ in a polynomial : factor_xn
    • GCD of the coefficients of a polynomial : content
    • Primitive part of a polynomial : primpart
    • Factorization : collect
    • Factorization : factor factoriser
    • Square-free factorization : sqrfree
    • List of factors : factors
    • Evaluate a polynomial : horner
    • Rewrite in terms of the powers of (x-a) : ptayl
    • Compute with the exact root of a polynomial : rootof
    • Exact roots of a polynomial : roots
    • Coefficients of a polynomial defined by its roots : pcoeff pcoef
    • Truncate of order n : truncate
    • Convert a series expansion into a polynomial : convert convertir
    • Random polynomial : randpoly randPoly
    • Change the order of variables : reorder
    • Random list : ranm
    • Lagrange's polynomial : lagrange interp
    • Natural splines: spline
  • Arithmetic and polynomials
    • The divisors of a polynomial : divis
    • Euclidean quotient : quo
    • Euclidean quotient : Quo
    • Euclidean remainder : rem
    • Euclidien remainder: Rem
    • Quotient and remainder : quorem divide
    • GCD of two polynomials with Euclide algorithm: gcd
    • GCD of two polynomials with Euclide algorithm : Gcd
    • Choosing the GCD algorithm of two polynomials : ezgcd heugcd modgcd psrgcd
    • LCM of two polynomials : lcm
    • Bézout's Identity : egcd gcdex
    • Solving au+bv=c over polynomials: abcuv
    • Chinese remainders : chinrem
    • Cyclotomic polynomial : cyclotomic
    • Sturm sequences and number of sign changes of P on ]a; b] : sturm
    • Number of zeros in [a, b[ : sturmab
    • Sturm sequences : sturmseq
    • Sylvester matrix of two polynomials : sylvester
    • Resultant of two polynomials : resultant
  • Orthogonal polynomials
    • Legendre polynomials: legendre
    • Hermite polynomial : hermite
    • Laguerre polynomials: laguerre
    • Tchebychev polynomials of first kind: tchebyshev1
    • Tchebychev polynomial of second kind: tchebyshev2
  • Gröbner basis and Gröbner reduction
    • Gröbner basis : gbasis
    • Gröbner reduction : greduce
    • Build a polynomial from it's evaluation : genpoly
  • Rational fractions
    • Numerator : getNum
    • Numerator after simplification : numer
    • Denominator : getDenom
    • Denominator after simplification : denom
    • Numerator and denominator : f2nd fxnd
    • Simplify : simp2
    • Common denominator : comDenom
    • Integer and fractional part : propfrac
    • Partial fraction expansion : partfrac
  • Exact roots of a polynomial
    • Exact bounds for complex roots of a polynomial : complexroot
    • Exact bounds for real roots of a polynomial : realroot
    • Exact values of rational roots of a polynomial : rationalroot
    • Exact values of the complex rational roots of a polynomial : crationalroot
  • Exact roots and poles
    • Roots and poles of a rational function : froot
    • Rational function given by roots and poles : fcoeff
  • Computing in $\mathbb {Z}$/p$\mathbb {Z}$ or in $\mathbb {Z}$/p$\mathbb {Z}$[x]
    • Expand and reduce : normal
    • Addition in $\mathbb {Z}$/p$\mathbb {Z}$ or in $\mathbb {Z}$/p$\mathbb {Z}$[x] : +
    • Substraction in $\mathbb {Z}$/p$\mathbb {Z}$ or in $\mathbb {Z}$/p$\mathbb {Z}$[x] : -
    • Multiplication in $\mathbb {Z}$/p$\mathbb {Z}$ or in $\mathbb {Z}$/p$\mathbb {Z}$[x] : *
    • Euclidian quotient : quo
    • Euclidian remainder : rem
    • Euclidian quotient and euclidian remainder : quorem
    • Division in $\mathbb {Z}$/p$\mathbb {Z}$ or in $\mathbb {Z}$/p$\mathbb {Z}$[x] : /
    • Power in $\mathbb {Z}$/p$\mathbb {Z}$ and in $\mathbb {Z}$/p$\mathbb {Z}$[x] : ^
    • Compute aⁿ  mod p : powmod powermod
    • Inverse in $\mathbb {Z}$/p$\mathbb {Z}$ : inv inverse or /
    • Rebuild a fraction from it's value modulo p : fracmod
    • GCD in $\mathbb {Z}$/p$\mathbb {Z}$[x] : gcd
    • Factorization over $\mathbb {Z}$/p$\mathbb {Z}$[x] : factor factoriser
    • Determinant of a matrix in $\mathbb {Z}$/p$\mathbb {Z}$ : det
    • Inverse of a matrix with coefficients in $\mathbb {Z}$/p$\mathbb {Z}$ : inv inverse
    • Row reduction to echelon form in $\mathbb {Z}$/p$\mathbb {Z}$ : rref
    • Construction of a Galois field : GF
    • Factorize a polynomial with coefficients in a Galois field : factor
  • Compute in $\mathbb {Z}$/p$\mathbb {Z}$[x] using Maple syntax
    • Euclidean quotient : Quo
    • Euclidien remainder: Rem
    • GCD in $\mathbb {Z}$/p$\mathbb {Z}$[x] : Gcd
    • Factorization in $\mathbb {Z}$/p$\mathbb {Z}$[x] : Factor
    • Determinant of a matrix with coefficients in $\mathbb {Z}$/p$\mathbb {Z}$ : Det
    • Inverse of a matrix in $\mathbb {Z}$/p$\mathbb {Z}$ : Inverse
    • Row reduction to echelon form in $\mathbb {Z}$/p$\mathbb {Z}$ : Rref
  • Taylor and asymptotic expansions
    • Division by increasing power order : divpc
    • Taylor expansion : taylor
    • Series expansion : series
    • Résidu d'une expression en un point : residue
    • Padé expansion: pade
  • Intervals
    • Definition of an interval : a1..a2
    • Boundaries of an interval : left right
    • Center of an interval : interval2center
    • Intervals defined by their center : center2interval
  • Sequences
    • Definition : seq[] ()
    • Concat two sequences : ,
    • Get an element of a sequence : []
    • Sub-sequence of a sequence : []
    • Make a sequence or a list : seq $
    • Transform a sequence into a list : [] nop
    • The + operator applied on sequences
  • Sets
    • Definition : set[]
    • Union of two sets or of two lists : union
    • Intersection of two sets or of two lists : intersect
    • Difference of two sets or of two lists : minus
  • Lists and vectors
    • Definition
    • Get an element or a sub-list of a list : at []
    • Extract a sub-list : mid
    • Get the first element of a list : head
    • Remove an element in a list : suppress
    • Remove the first element : tail
    • Reverse order in a list : revlist
    • Reverse a list starting from its n-th element : rotate
    • Permuted list from its n-th element : shift
    • Modify an element in a list : subsop
    • Transform a list into a sequence : op makesuite
    • Transform a sequence into a list : makevector []
    • Length of a list : size nops length
    • Sizes of a list of lists : sizes
    • Concatenate two lists or a list and an element : concat augment
    • Append an element at the end of a list : append
    • Prepend an element at the begining of a list : prepend
    • Sort : sort
    • Sort a list by increasing order : SortA
    • Sort a list by decreasing order : SortD
    • Select the elements of a list : select
    • Remove elements of a list : remove
    • Test if a value is in a list : member
    • Test if a value is in a list : contains
    • Sum of list (or matrix) elements transformed by a function : count
    • Number of elements equal to a given value : count_eq
    • Number of elements smaller than a given value : count_inf
    • Number of elements greater than a given value : count_sup
    • Sum of elements of a list : sum add
    • Cumulated sum of the elements of a list : cumSum
    • Product : product mul
    • Apply a function of one variable to the elements of a list : map apply of
    • Apply a bivariate function to the elements of two lists : zip
    • Make a list with zeros : newList
    • Make a list with a function : makelist
    • Make a random vector or list : randvector
    • List of differences of consecutive terms : deltalist
    • Make a matrix with a list : list2mat
    • Make a list with a matrix : mat2list
  • Functions for vectors
    • Norms of a vector : maxnorm l1norm l2norm norm
    • Normalize a vector : normalize unitV
    • Term by term sum of two lists : + .+
    • Term by term difference of two lists : - .-
    • Term by term product of two lists : .*
    • Term by term quotient of two lists : ./
    • Scalar product : scalar_product * dotprod dot dotP scalar_Product
    • Cross product : cross crossP crossproduct
  • Statistic functions : mean,variance,stddev, stddevp,median,quantile,quartiles,boxwhisker
  • Table with string as index : table
  • Usual matrix
    • Identity matrix : idn identity
    • Zero matrix : newMat matrix
    • Random matrix : ranm randMat randmatrix
    • Diagonal of a matrix or matrix of a diagonal : BlockDiagonal diag
    • Jordan bloc : JordanBlock
    • Hilbert matrix : hilbert
    • Vandermonde matrix : vandermonde
  • Arithmetic and matrix
    • Evaluate a matrix : evalm
    • Addition and substraction of two matrices : + - .+ .-
    • Multiplication of two matrices : * &*
    • Addition of elements of a column of a matrix : sum
    • Cumulated sum of elements of each column of a matrix : cumSum
    • Multiplication of elements of each column of a matrix : product
    • Power of a matrix : ^ &^
    • Hadamard product : hadamard product
    • Hadamard product (infixed version): .*
    • Hadamard division (infixed version): ./
    • Hadamard power (infixed version): .^
    • Extracting element(s) of a matrix : [] at
    • Modify an element or a row of a matrix : subsop
    • Extract rows or columns of a matrix (Maple compatibility) : row col
    • Remove rows or columns of a matrix : delrows delcols
    • Extract a sub-matrix of a matrix (TI compatibility) : subMat
    • Add a row to another row : rowAdd
    • Multiply a row by an expression : mRow
    • Add k times a row to an another row : mRowAdd
    • Exchange two rows : rowSwap
    • Make a matrix with a list of matrix : blockmatrix
    • Make a matrix from two matrices : semi_augment
    • Make a matrix from two matrices : augment concat
    • Build a matrix with a function : makemat
    • Define a matrix : matrix
    • Append a column to a matrix : border
    • Count the elements of a matrix verifying a property : count
    • Count the elements equal to a given value : count_eq
    • Count the elements smaller than a given value : count_inf
    • Count the elements greater than a given value : count_sup
    • Statistics functions acting on column matrices : mean, stddev, variance, median, quantile, quartiles, boxwhisker
    • Dimension of a matrix : dim
    • Number of rows : rowdim rowDim nrows
    • Number of columns : coldim colDim ncols
  • Linear algebra
    • Transpose of a matrix : tran transpose
    • Inverse of a matrix : inv /
    • Trace of a matrix : trace
    • Determinant of a matrix : det
    • Determinant of a sparse matrix : det_minor
    • Rank of a matrix : rank
    • Transconjugate of a matrix : trn
    • Equivalent matrix : changebase
    • Basis of a linear subspace : basis
    • Basis of the intersection of two subspaces : ibasis
    • Image of a linear application : image
    • Kernel of a linear application : kernel nullspace ker
    • Kernel of a linear application : Nullspace
    • Subspace generated by the columns of a matrix : colspace
    • Subspace generated by the rows of a matrix : rowspace
  • Linear Programmation
    • Simplex algorithm: simplex_reduce
  • Different matrix norm
    • l² matrix norm : nomm l2norm
    • l^$\infty$ matrix norm : maxnorm
    • Matrix row norm : rownorm rowNorm
    • Matrix column norm : colnorm colNorm
  • Matrix reduction
    • Eigenvalues : eigenvals
    • Eigenvalues : egvl eigenvalues eigVl
    • Eigenvectors : egv eigenvectors eigenvects eigVc
    • Rational Jordan matrix : rat_jordan
    • Jordan normal form : jordan
    • Characteristic polynomial : charpoly
    • Characteristic polynomial using Hessenberg algorithm : pcar_hessenberg
    • Minimal polynomial : pmin
    • Adjoint matrix : adjoint_matrix
    • Companion matrix of a polynomial : companion
    • Hessenberg matrix reduction : hessenberg
    • Hermite normal form : ihermite
    • Smith normal form : ismith
  • Isometries
    • Recognize an isometry : isom
    • Find the matrix of an isometry : mkisom
  • Matrix factorizations
    • Cholesky decomposition : cholesky
    • QR decomposition : qr
    • QR decomposition (for TI compatibility) : QR
    • LU decomposition : lu
    • LU decomposition (for TI compatibility) : LU
    • Singular value decomposition : svd
    • Short basis of a lattice : lll
  • Quadratic forms
    • Matrix of a quadratic form : q2a
    • Transform a matrix into a quadratic form : a2q
    • Reduction of a quadratic form : gauss
    • Gramschmidt orthonormalization : gramschmidt
    • Graph of a conic : conique
    • Conic reduction : conique_reduite
    • Graph of a quadric : quadrique
    • Quadric reduction : quadrique_reduite
  • Multivariate calculus
    • Gradient : derive deriver diff grad
    • Laplacian : laplacian
    • Hessian matrix : hessian
    • Divergence : divergence
    • Rotationnal : curl
    • Potential : potential
    • Conservative flux field : vpotential
  • Equations
    • Define an equation : equal
    • Transform an equation into a difference : equal2diff
    • Transform an equation into a list : equal2list
    • The left member of an equation : left gauche lhs
    • The right member of an equation : right droit rhs
    • Solving equation(s): solve
    • Equation solving in $\mathbb {C}$ : cSolve
  • Linear systems
    • Matrix of a system : syst2mat
    • Gauss reduction of a matrix : ref
    • Gauss-Jordan reduction: rref gaussjord
    • Solving A*X=B : simult
    • Step by step Gauss-Jordan reduction of a matrix : pivot
    • Linear system solving: linsolve
    • Finding linear recurrences : reverse_rsolve
  • Differential equations
    • Solving differential equations : desolve deSolve dsolve
    • Laplace transform and inverse Laplace transform : laplace ilaplace
  • Other functions
    • Replace small values by 0: epsilon2zero
    • List of variables : lname indets
    • List of variables and of expressions : lvar
    • List of variables of an algebraic expressions: algvar
    • Test if a variable is in an expression : has
    • Numeric evaluation : evalf
    • Rational approximation : float2rational exact
  
  
• Graphs
  • Graph and geometric objects attributes
    • Individual attributes
    • Global attributes
  • Graph of a function : plotfunc funcplot DrawFunc Graph
    • 2-d graph
    • 3-d graph
    • 3-d graph with rainbow colors
    • 4-d graph.
  • 2d graph for Maple compatibility : plot
  • 3d surfaces for Maple compatibility plot3d
  • Graph of a line and tangent to a graph
    • Draw a line : line
    • Draw an 2D horizontal line : LineHorz
    • Draw a 2D vertical line : LineVert
    • Tangent to a 2D graph : LineTan
    • Tangent to a 2D graph : tangent
    • Intersection of a 2D graph with the axis
  • Graph of inequations with 2 variables : plotinequation inequationplot
  • Graph of the area below a curve : plotarea areaplot
  • Contour lines: plotcontour contourplot DrwCtour
  • 2-d graph of a 2-d function with colors : plotdensity densityplot
  • Implicit graph: plotimplicit implicitplot
    • 2D implicit curve
    • 3D implicit surface
  • Parametric curves and surfaces : plotparam paramplot DrawParm
    • 2D parametric curve
    • 3D parametric surface : plotparam paramplot DrawParm
  • Curve defined in polar coordinates : plotpolar polarplot DrawPol courbe_polaire
  • Graph of a recurrent sequence : plotseq seqplot graphe_suite
  • Tangent field : plotfield fieldplot
  • Plotting a solution of a differential equation : plotode odeplot
  • Interactive plotting of solutions of a differential equation : interactive_plotode interactive_odeplot
  • Animated graphs (2D, 3D or "4D")
    • Animation of a 2D graph : animate
    • Animation of a 3D graph : animate3d
    • Animation of a sequence of graphic objects : animation
  
  
• Numerical computations
  • Floating point representation.
    • Digits
    • Representation by hardware floats
    • Examples of representations of normalized floats
    • Difference between the representation of (3.1-3) and of 0.1
  • Approx. evaluation : evalf approx and Digits
  • Numerical algorithms
    • Approximate solution of an equation : newton
    • Approximate computation of the derivative number : nDeriv
    • Approximate computation of integrals : romberg nInt
    • Approximate solution of y'=f(t,y) : odesolve
    • Approximate solution of the system v'=f(t,v) : odesolve
  • Solve equations with fsolve nSolve
    • fsolve or nSolve with the option bisection_solver
    • fsolve or nSolve with the option brent_solver
    • fsolve or nSolve with the option falsepos_solver
    • fsolve or nSolve with the option newton_solver
    • fsolve or nSolve with the option secant_solver
    • fsolve or nSolve with the option steffenson_solver
  • Solve systems with fsolve
    • fsolve with the option dnewton_solver
    • fsolve with the option hybrid_solver
    • fsolve with the option hybrids_solver
    • fsolve with the option newtonj_solver
    • fsolve with the option hybridj_solver
    • fsolve with the option hybridsj_solver
  • Numeric roots of a polynomial : proot
  • Numeric factorization of a matrix : cholesky qr lu svd
  
  
• Unit objects and physical constants
  • Unit objects
    • Notation of unit objects
    • Computing with units
    • Convert units into MKSA units : mksa
    • Convert units : convert
    • Factorize an unit : ufactor
    • Simplify an unit : usimplify
    • Unit prefixes
  • Constants
    • Notation of physical constants
    • Constants Library