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propFrac()
Catalog >
propFrac(rational_expression,Var) returns
the sum of proper ratios and a polynomial
with respect to Var. The degree of Var in
the denominator exceeds the degree of Var
in the numerator in each proper ratio.
Similar powers of Var are collected. The
terms and their factors are sorted with Var
as the main variable.
If Var is omitted, a proper fraction
expansion is done with respect to the most
main variable. The coefficients of the
polynomial part are then made proper with
respect to their most main variable first
and so on.
You can use the propFrac() function to
represent mixed fractions and demonstrate
addition and subtraction of mixed fractions.
Q
QR
Catalog >
QR Matrix, qMatrix, rMatrix[, Tol]
Calculates the Householder QR factorization
of a real or complex matrix. The resulting Q
and R matrices are stored to the specified
Matrix. The Q matrix is unitary. The R
matrix is upper triangular.
Optionally, any matrix element is treated as
zero if its absolute value is less than Tol.
This tolerance is used only if the matrix has
floating-point entries and does not contain
any symbolic variables that have not been
assigned a value. Otherwise, Tol is ignored.
• If you use /· or set the Auto or
Approximate mode to Approximate,
computations are done using floating-
point arithmetic.
• If Tol is omitted or not used, the default
The floating-point number (9.) inm1 causes
results to be calculated in floating-point
form.
Alphabetical Listing 115
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