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Section

Working

With

\7j]

The

HP-15C

readily handles

this

integral. Don't worry about

\/l

—

u2 as

approaches

because

the

figures lost

roundoff

aren't

needed.

Application

The

following program calculates

the

values

four

special

functions

for

any

argument

P(x)

e~*

/2dt

(normal

distribution

2ir

~°°

function)

Q(x)

= 1

—

P(x)

e~f

/2dt

(complementary

normal

distribution

function)

erf(^)

——I

(errorfunction)

^^:*/o

r°°

erfc(x)

= 1

—

erf(^)

—j=J

(corriplementary

error

V77-

function)

The

program calculates these functions using

the

transformation

—

e'1

whenever|x\

1.6 .

The

function value

returned

in the

X-register,

and the

uncertainty

of the

integral

returned

in the

Y-register. (The

uncertainty

of the

function value

approximately

the

same order

magnitude

as the

number

in the

Y-register.)

The

original

argument

available

R0.

The

program

has the

following

characteristics:

• The

display format specifies

the

accuracy

of the

integrand

the

same

way as it

does

for

|7T|

itself. However,

if you

specify

unnecessarily large number

display digits,

the

calculation will

prolonged.

•

Small function values, such

Q(20),

P(-20),

and

erfc(10),

are

accurately computed

quickly

moderate values.

Brand	HP
Model	HP-15C
Category	Calculator
Language	English

HP HP-15C Advanced Functions Handbook

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