Halftan, Hermite, Hess – HP 49g Graphing Calculator User Manual
Page 150
Attention! The text in this document has been recognized automatically. To view the original document, you can use the "Original mode".
HALFTAN
Type:
Description:
Access:
Input:
Command
Transforms an expression by replacing sin(ar), cos(a:)
and tan(a:) sub expressions with tan(a;/2) terms.
Trigonometry,
An expression
Output:
Flags:
The transformed expression.
Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).
HERMITE
Type:
Function
Description:
Returns the nth Hermite polynomial.
Access:
Arithmetic,
R(MTH) POLYNOMIAL
Input:
A non-negative integer.
Output:
The corresponding polynomial expression.
Flags:
Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).
Example:
Find the Hennite polynomial with degree 4.
Command:
HERMITE(4)
Result:
16*X''4-48*X-'2 + 12
HESS
Type:
Command
Description:
Returns the Hessian matrix and the gradient of an
expression with respect to the specified variables.
Access:
Calculus
0@£) DERIV & INTEG
Input:
Level 2/Argument 1: An expression.
Level 1/Argument 2; A vector of the variables.
Output:
Level 3/Item 1: The Hessian matrix with respect to the
specified variables.
Level 2/Item 2: The gradient with respect to the
variables.
Level 1/Item 3; The vector of the variables.
Computer Algebra Commands
Page 14-27