Application Guide

dominantTerm()
Catalog >
If the series or one of its derivatives has a
jump discontinuity at Point, the result is
likely to contain sub-expressions of the
form sign(…) or abs(…) for a real expansion
variable or (-1)
floor(…angle(…)…)
for a complex
expansion variable, which is one ending
with “_”. If you intend to use the dominant
term only for values on one side of Point,
then append to dominantTerm(...) the
appropriate one of “| Var > Point”, “| Var
< Point”, “| “Var ≥ Point”, or “Var ≤
Point” to obtain a simpler result.
dominantTerm() distributes over 1st-
argument lists and matrices.
dominantTerm() is useful when you want to
know the simplest possible expression that
is asymptotic to another expression as
Var→Point. dominantTerm() is also useful
when it isn’t obvious what the degree of
the first non-zero term of a series will be,
and you don’t want to iteratively guess
either interactively or by a program loop.
Note: See also series(), page 161.
dotP()
Catalog >
dotP(List1, List2) ⇒ expression
Returns the “dot” product of two lists.
dotP(Vector1, Vector2) ⇒ expression
Returns the “dot” product of two vectors.
Both must be row vectors, or both must be
column vectors.
E
e^()
u key
e^(Expr1) ⇒ expression
Returns e raised to the Expr1 power.
Note: See also e exponent template, page
2.
Alphabetical Listing 57