The principal branch used by the calculator for ASINH was chosen because it is analytic in the regions where the arguments of the real-valuedfunction are defined. The branch cut for the complex-valued ASINH function occurs where the corresponding real-valued function is undefined. The principal branch also preserves most of the important symmetries.

The graph for ASINH can be found from the graph for ASIN (see ASIN) and the relationship asinh z = –iasin iz.

Access:

…ÑHYPERBOLIC ASINH

(Ñis the right-shift of the 8key).

Flags:

Principal Solution (–1), Numerical Results (–3)

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

z

→

asinh z

 

 

'symb'

→

'ASINH(symb)'

 

 

 

 

 

See also:

ACOSH, ATANH, ISOL, SINH

 

 

 

 

 

 

 

ASN

Command

 

 

Type:

 

 

Description: Assign Command: Defines a single key on the user keyboard by assigning the given object to the key xkey, which is specified as rc.pf.

The argument xkey is a real number rc.pf specifying the key by its row number r, column number c, shift plane p and shift-and-hold flag f. A value of f=0 represents a normal shifted key assignment (where the shift is released prior to pressing the key); whereby f=1 corresponds to a shift-and- hold key assignment indicated by “&” in the table below (where the shift is held while pressing the key). The legal values for p and f are as follows:

Value of

Shift

Value

Shift

.pf

of .pf

 

 

 

 

 

 

.00 or .10

Unshifted [key]

 

 

 

 

 

 

.20

!(left-shifted) [key]

.21

! & [key]

 

 

 

 

.30

…(right-shifted) [key]

.31

… & [key]

 

 

 

 

.40

~(alpha-shifted) [key]

.41

~& [key]

 

 

 

 

.50

~!(alpha left-shifted) [key]

.51

~!& [key]

 

 

 

 

.60

~…(alpha right-shifted) [key]

.61

~…& [key]

 

 

 

 

Once ASN has been executed, pressing a given key in User or 1-User mode executes the user- assigned object. The user key assignment remains in effect until the assignment is altered by ASN, STOKEYS, or DELKEYS. Keys without user assignments maintain their standard definitions.

If the argument obj is the name SKEY, then the specified key is restored to its standard key assignment on the user keyboard. This is meaningful only when all standard key assignments had been suppressed (for the user keyboard) by the command S DELKEYS (see DELKEYS).

To make multiple key assignments simultaneously, use STOKEYS. To delete key assignments, use

DELKEYS.

3-18 Full Command and Function Reference