Functions

Input Range

tanh

 1

x

0   

x

   9.999999999 10

 1

log

x

/ln

x

0  

x

  9.999999999 10

99

10

x

 9.999999999 10

99

x 

  99.99999999

e

x

 9.999999999 10

99

x 

  230.2585092

x

0  

x 

  1   10

100

x

2

x

   1  10

50

1/

x

x

   1  10

100

;

 x 

G 0

3

x

x

   1  10

100

x

!

0  

x 

  69 (

x 

is an integer)

n

P

r

0 

 n 

  1 10

10

, 0 

 r 

 n 

(

n

,

 r

 are integers)

1 

{

n

!/(

n

r

)!}

  1 10

100

n

C

r

0 

 n 

  1 10

10

, 0 

 r 

 n 

(

n

,

 r

 are integers)

1  

n

!/

r

!   1 10

100

 or 1  

n

!/(

n

r

)!   1 10

100

Pol(

x

, 

y

)  

x

 ,  

y

 9.999999999 10

99

x

2

+

y

2

  9.999999999 10

99

Rec(

r

,  ) 0 

 r 

 9.999999999 10

99

 : Same as sin

x

x

 0:  1 10

100

y

log

x

 100

x

 0:

 y

 0

^(

xy

)

m

x

 0:

 y

n

,           (

m

,

 n

 are integers)

2

n

+1

However:  1 10

100

y

log 

x

  100

y

 0:

 x 

G 0,  1 10

100

 1/

x 

log

y

 100

x

y

 0:

 x

 0

y

y

2

n

+1

 0:

 x

 2

n

 1,         (

m 

G 0; 

m

,

 n 

are integers)

m

However:  1 10

100

  1/

x 

log 

y

  100

  Precision is basically the same as that described under

 Calculation Range and Precision  on page E 137.

  ^(

xy

), 

x

y

, 

3

 , 

x

!, 

n

P

r

, 

n

C

r

  type functions require

consecutive internal calculation, which can cause

accumulation of errors that occur with each calculation.

  Error is cumulative and tends to be large in the vicinity of

a function's singular point and inflection point.

E 138