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384 Functions and commands
e Enters the mathematical constant e (Euler’s number).
egcd Returns three polynomials U, V and D such that for two
polynomials A and B:
U(x)*A(x)+V(x)*B(x)=D(x)=GCD(A(x),B(x))
(where GCD(A(x),B(x) is the greatest common divisor of
polynomials A and B).
The polynomials can be provided in symbolic form or as lists.
Without a third argument, it is assumed that the polynomials
are expressions of x. With a variable as third argument, the
polynomials are expressions of it.
egcd((Poly or Lst(A)),(Poly or Lst(B)),[Var])
Example:
egcd((x-1)^2,x^3-1) gives [-x-2,1,3*x-3]
eigenvals Returns the sequence of eigenvalues of a matrix.
eigenvals(Mtrx)
Example:
eigenvals([[-2,-2,1],[-2,1,-2],[1,-2,-2]])
gives 3,-3,-3
eigenvects Returns the eigenvectors of a diagonalizable matrix.
eigenvects(Mtrx)
eigVc Returns the eigenvectors of a diagonalizable matrix.
eigVc(Mtrx)
eigVl Returns the Jordan matrix associated with a matrix when the
eigenvalues are calculable.
eigVl(Mtrx)
element Shows a point on a curve or a real in an interval.
element((Curve or Real_interval),(Pnt or
Real))
Example:
element(0..5) creates a value of 2.5 initially. Tapping
on this value and pressing Enter enables you to press a
cursor key to increase or decrease the value in a manner
similar to a slider bar. Press Enter again to close the
slider bar. The value you set can be used as a coefficient
in a function you subsequently plot.