Example:
ker([[1 2], [3 6]] returns [2 1]
laplacian
Returns the Laplacian of an expression with respect to a vector of variables.
laplacian(Expr, Vector)
Example:
laplacian(exp(z)*cos(x*y),[x,y,z]) returns –x^2*cos(x*y)*exp(z)- y^2*cos(x*y)*exp(z)
+cos(x*y)*exp(z)
latex
Returns the evaluated CAS expression written in Latex format.
latex(Expr)
Examples:
latex(1/2) returns "\frac{1}{2}"
latex((x^4-1)/(x^2+3) returns "\frac{(x^{4}-1)}{(x^{2}+3)}"
lcoe
Returns the coeicient of the term of highest degree of a polynomial. The polynomial can be expressed in
symbolic form or as a list.
lcoeff(Poly) or lcoeff(List) or lcoeff(Vector)
Example:
lcoeff(-2*x^3+x^2+7*x) returns -2
legendre_symbol
With a single integer n, returns the Legendre polynomial of degree n. With two integers, returns the Legendre
symbol of the second integer, using the Legendre polynomial whose degree is the rst integer.
legendre_symbol(Integer1, [Integer2])
Example:
legendre(4) gives 35*x^4/8+-15*x^2/4+3/8 while legendre(4,2) returns 443/8 after simplication
length
Returns the length of a list, string or set of objects.
length(List) or length(String) or length(Object1, Object2,…)
Example:
length([1,2,3]) gives 3
438 Chapter 22 Functions and commands
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