HP 50g Graphing, 48gII Graphing manual Atick, Atanh z, Symb ATANHsymb, Access …µATICK

ATANH

Type:	Analytic Function
Description:	Arc Hyperbolic Tangent Analytic Function: Returns the inverse hyperbolic tangent of the
	argument.
	For real arguments x > 1, ATANH returns the complex result obtained for the argument (x, 0).
	For a real argument x=±1, an Infinite Result exception occurs. If flag –22 is set (no error), the
	sign of the result (MAXR) matches that of the argument.
	The inverse of TANH is a relation, not a function, since TANH sends more than one argument to
	the same result. The inverse relation for TANH is expressed by ISOL as the general solution;
			ATANH(Z)+π*i*n1
	The function ATANH is the inverse of a part of TANH, a part defined by restricting the domain
	of TANH such that:
	•	each argument is sent to a distinct result, and
	•	each possible result is achieved.
	The points in this restricted domain of TANH are called the principal values of the inverse relation.
	ATANH in its entirety is called the principal branch of the inverse relation, and the points sent by
	ATANH to the boundary of the restricted domain of TANH form the branch cuts of ATANH.
	The principal branch used by the calculator for ATANH was chosen because it is analytic in the
	regions where the arguments of the realvalued function are defined. The branch cut for the
	complexvalued ATANH function occurs where the corr esponding realvalued function is
	undefined. The principal branch also preserves most of the important symmetries.
	The graph for ATANH can be found from the graph for ATAN (see ATAN) and the relationship
	atanh z = –iatan iz.
Access:	…ÑHYPERBOLIC ATAN			(Ñis the rightshift of the		8key).
Flags:	Principal Solution (–1), Numerical Results (–3), Infinite Result Exception (–22)
Input/Output:
			Level 1/Argument 1			Level 1/Item 1
			z		→	atanh z
			'symb'		→	'ATANH(symb)'
See also:	ACOSH, ASINH, ISOL, TANH
ATICK	Command
Type:
Description:	Axes TickMark Command: Sets the axes tickmark an				notation in the reserved variable PPAR.

Given x, ATICK sets the tickmark annotation to x units on both the x and the yaxis. For example, 2 would place tickmarks every 2 units on both axes.

Given #n, ATICK sets the tickmark annotation to #n pixels on both the x and the yaxis. For example, #5 would place tickmarks every 5 pixels on both axe s.

Given { x y }, ATICK sets the tickmark unit annotation for eac h axis individually. For example,

{10 3 } would mark the xaxis at every multiple of 10 units, and the yaxis at every multiple of 3 units.

Given { #n #m } ATICK sets the tickmark pixel annotation for ea ch axis individually. For example, {#6 #2 } would mark the xaxis every 6 pixels, and the yaxis every 2 pixels.

Access: …µATICK

322 Full Command and Function Reference