Propfrac() - Texas Instruments TI-NSPIRE Reference Manual

propFrac()

Value1 Var
propFrac( [, ])
rational_number
propFrac(
of an integer and a fraction having the same sign and a greater
denominator magnitude than numerator magnitude.
rational_expression
propFrac(
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()
and demonstrate addition and subtraction of mixed fractions.
Q
QR
Matrix qMatName rMatName
QR , ,
Calculates the Householder QR factorization of a real or complex
matrix. The resulting Q and R matrices are stored to the specified
MatNames. 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
mode to Approximate, computations are done using floating-
point arithmetic.
If Tol is omitted or not used, the default tolerance is calculated
•
as:
·
ë
5E 14 max(dim(Matrix))
The QR factorization is computed numerically using Householder
transformations. The symbolic solution is computed using Gram-
Schmidt. The columns in qMatName are the orthonormal basis
vectors that span the space defined by matrix.
TI-Nspire™ Reference Guide
⇒
value
returns rational_number as the sum
)
,
Var
returns the sum of proper
)
function to represent mixed fractions
Tol
[, ]
or set the
Auto or Approximate
·
rowNorm(Matrix)
The floating-point number (9.) in m1 causes results to be
calculated in floating-point form.
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