Hp 48g Graphing Calculator Manual do Utilizador descarregar pdf (Página 155)

100

101

Real Calculations with Complex Results

The coinpiex-number capabilities of the HP 48 can affect the results

of real-number operations. Certain calculations that would result in

an error on most calculators yield valid complex results on the HP 48.

For example, the HP 48 returns a complex number for the square root

of “4. Also, the arcsine of 5 yields a complex result.

You’ll find that for most calculations, the HP 48 gives you the type of

result (real or complex) you expect. However, if you find that you get

complex results when you expect real results, check your program or

keystrokes for these potential causes:

■ The data you supplied to the calculator may be outside the range of

the formula you are calculating.

■ The formula (or its execution) may be incorrect.

■ A rounding error at a critical point in the formula may have

compromised the computation.

■ A complex result may be unexpected, but correct, for your problem.

Other Complex-Number Commands

Most commands that operate on real numbers also operate on complex

numbers (such as SIN, INV, and LN). The following table describes

additional commands that are especially useful for complex numbers.

The remaining commands are found in the MTH CMPL menu (press

fMTH ) fNXT) CMPL .

Command / Description

Example

Input Output

ABS Prefix. Absolute

value; ^.

i - ( E= :i 4 ) is 5

ARG Prefix. Polar angle of

a complex number.

is < 1 5 1 )

is 45

CONJ Prefix. Complex

conjugate of a complex

number.

is (2,3)

is <2?-3>

Functions of Real and Complex Numbers 12-13

1 2 ... 150 151 152 153 154 155 156 157 158 159 160 ... 611 612

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