HP 48GII

Computer Algebra Commands 4-17
Input: A list of vectors defining a vector sub-space of R
n
.
Output: A list containing the vectors of a basis of the vector sub-space.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Example: Find the vectors that form a basis of the sub-space defined by [1,2,3], [1,1,1], and [2,3,4]
Command: BASIS({[1,2,3],[1,1,1],[2,3,4]})
Result: {[1,0,-1],[0,1,2]}
See also: IBASIS
C2P
Type: Command
Description: Takes a list of cycles as an argument, and returns the equivalent permutation. In other words,
finds a permutation from its cyclical decomposition.
Access: Arithmetic, !Þ
PERMUTATION
Input: A list of cycles equivalent to a permutation. For example, the list {1,3,5} defines a cycle C,
such that C(1)=3, C(3)=5 and C(5)=1, while items 2 and 4 are not changed. This could be
followed by {2,4} which defines a cycle C, such that C(2)=4, and C(4)=2.
Output: A list representing the permutation equivalent to the cycles.
Example: Convert the cycles given by {{1,3,5},{2,4}} into a permutation:
Command: C2P( {{1,3,5},{2,4}})
Result: {3,4,5,2,1}
See also: P2C, CIRC
CASCFG
Type: Command
Description: Restores the default CAS mode settings. This command is almost equivalent to pressing L
!RESET, then selecting “Reset all” and pressing !!OK!, when the CAS Modes input form is
displayed. The difference is that CASCFG sets the modulus value to 13, whereas “Reset all”
sets the modulus to 3.
Access: Catalog, …µ
CASCMD
Type: Command
Description: Displays a list of CAS operations. Selecting one with OK displays a description, related
operations, an example of the operation, and the option to copy the example to the command
line. More details are given in Appendix C and Appendix H of the User’s Guide. If level 1 of
the stack contains a string, the list of CAS operations will be displayed beginning at this point.
Access: Catalog, …µ
, or tools IL
See also: HELP
CHINREM
Type: Command
Description: Chinese Remainder function. Solves a system of simultaneous polynomial congruences in the
ring Z[x].
Access: Arithmetic, !Þ
POLYNOMIAL