HP 10413 Datasheet download pdf (Page 260)

260

Some further functions are available in the Hyperbolic group of functions.

They are duplicates of functions available on the face of the calculator but

give more accurate answers. They would primarily be of use to those

people, such as architects and engineers, for whom high accuracy is

paramount. These are:

EXP(num)

This function gives a more accurate answer

than the key labeled e^ which appears above the LN key on the calculator.

As you can see on the right, the difference is normally not detectable even to

12 significant figures.

The difference is only apparent for some

values and even then is hardly earth-

shattering.

ALOG(num)

This function provides the same result as the

key labeled 10^ on the keyboard above the

LOG key. It is another function giving greater

accuracy than the one it ‘replaces’. This

greater accuracy would never be required in a

school setting.

EXPM1(num)

This function is designed to be more accurate when anti-logging very small

values close to zero. It gives the value not of

e but of 1

−

(EXPM1: exp

minus 1). You may wonder how this is an advantage, since you must then

add 1 to obtain the correct answer, but a look at the screen opposite will

show you.

As you can see, the normal keyboard function

e^ gives an answer to

0.0000003

of 1·0000003.

This gives the impression that it is an exact

value (since it doesn’t show a full 12 significant

digits). The true answer is 1·000000300000045…. but the final digits have

been lost in the rounding off to 12 sig. figures. By giving an answer of 1

e − ,

the leading 1 is lost, freeing the calculator to show more accuracy by

dropping the leading six zeros. This is not normally be needed.

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HP 10413 Datasheet Page 260