Reference Guide

3-104 Full Command and Function Reference
HERMITE
Type: Function
Description: Returns the nth Hermite polynomial.
Access: Arithmetic, !Þ POLY L
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 –3 clear).
Example: Find the Hermite polynomial with degree 4.
Command: HERMITE(4)
Result: 16*X^4-48*X^2+12
See also: LEGENDRE, TCHEBYCHEFF
HESS
Type: Command
Description: Returns the Hessian matrix and the gradient of an expression with respect to the specified
variables.
Access: Calculus !Ö 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.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Example: Find the Hessian matrix, and the gradient with respect to each variable, of the expression:
t
2
+ 2tu
2
.
Command: HESS(T^2+2*T*U^2, [T, U])
Result: {[[2, 2*(2*U)], [2*(2*U), 2*(2*T)]], [2*T+2*U^2, 2*T*(2*U)], [T, U]}
See also: CURL, DIV
HEX
Type: Command
Description: Hexadecimal Mode Command: Selects hexadecimal base for binary integer operations. (The
default base is decimal.)
Binary integers require the prefix #. Binary integers entered and returned in hexadecimal base
automatically show the suffix h. If the current base is not hexadecimal, then you can enter a
hexadecimal number by ending it with h. It will be displayed in the current base when it is
entered.
The current base does not affect the internal representation of binary integers as unsigned binary
numbers.
Access: !´ BASE HEX ( ´ is the left-shift of the Pkey).
!Ú BASE HEX ( Ú is the left-shift of the 6key).
Flags: Binary Integer Wordsize (–5 through –10), Binary Integer Base (–11, –12)