HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 188

Num. Factor mode, Complex vs. Real, Verbose vs. non, verbose mode, Step-by-step mode, Increasing-

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hp40g+.book Page 6 Friday, December 9, 2005 1:03 AM Num. Factor mode Complex vs. Real mode Verbose vs. nonverbose mode Step-by-step mode Increasing-powers mode Rigorous setting Simplify nonrational setting calculated as closed-form algebraic expressions, whenever possible. [Default: unselected.] When the NUM FACTOR setting is selected, approximate roots are used when factoring. For example, x5 + 5x + 1 is irreducible over the integers but has approximate roots over the reals. With NUM FACTOR set, the approximate roots are returned. [Default: unselected.] When COMPLEX is selected and an operation results in a complex number, the result will be shown in the form a + bi or in the form of an ordered pair (a,b). If COMPLEX mode is not selected and an operation results in a complex number, you will be asked to switch to COMPLEX mode. If you decline, the calculator will report an error. [Default: unselected.] When in COMPLEX mode, CAS is able to perform a wider range of operations than in non-complex (or real) mode, but it will also be considerably slower. Thus, it is recommended that you don't select COMPLEX mode unless requested by the calculator in the performance of a particular operation. When VERBOSE is selected, certain calculus applications are provided with comment lines in the main display. The comment lines will appear in the top lines of the display, but only while the operation is being calculated. [Default: unselected.] When STEP/STEP is selected, certain operations will be shown one step at a time in the display. You press to show each step in turn. [Default: selected.] When INCR POW is selected, polynomials will be listed so that the terms will have increasing powers of the independent variable (which is the opposite to how polynomials are normally written). [Default: unselected.] When RIGOROUS is selected, any algebraic expression of the form |X|, i.e., the absolute value of X, is not simplified to X. [Default: selected.] When SIMP NON-RATIONAL is selected, non-rational expressions will be automatically simplified. [Default: selected.] 14-6 Computer Algebra System (CAS)

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14-6
Computer Algebra System (CAS)
calculated as closed-form algebraic expressions,
whenever possible. [Default: unselected.]
Num. Factor mode
When the
NUM FACTOR
setting is selected, approximate
roots are used when factoring. For example,
is irreducible over the integers but has approximate roots
over the reals. With
NUM FACTOR
set, the approximate roots
are returned. [Default: unselected.]
Complex vs. Real
mode
When
COMPLEX
is selected and an operation results in a
complex number, the result will be shown in the form
a
+
bi
or in the form of an ordered pair (
a
,
b
). If
COMPLEX
mode
is not selected and an operation results in a complex
number, you will be asked to switch to
COMPLEX
mode. If
you decline, the calculator will report an error. [Default:
unselected.]
When in
COMPLEX
mode, CAS is able to perform a wider
range of operations than in non-complex (or real) mode,
but it will also be considerably slower. Thus, it is
recommended that you don’t select
COMPLEX
mode unless
requested by the calculator in the performance of a
particular operation.
Verbose vs. non-
verbose mode
When
VERBOSE
is selected, certain calculus applications
are provided with comment lines in the main display. The
comment lines will appear in the top lines of the display,
but only while the operation is being calculated. [Default:
unselected.]
Step-by-step mode
When
STEP/STEP
is selected, certain operations will be
shown one step at a time in the display. You press
to show each step in turn. [Default: selected.]
Increasing-powers
mode
When
INCR POW
is selected, polynomials will be listed so
that the terms will have increasing powers of the
independent variable (which is the opposite to how
polynomials are normally written). [Default: unselected.]
Rigorous setting
When
RIGOROUS
is selected, any algebraic expression of
the form |X|, i.e., the absolute value of X, is not
simplified to X. [Default: selected.]
Simplify non-
rational setting
When
SIMP NON-RATIONAL
is selected, non-rational
expressions will be automatically simplified. [Default:
selected.]
x
5
5
x
1
+
+
hp40g+.book
Page 6
Friday, December 9, 2005
1:03 AM