Manuals/calci/MAKECOMPLEXIMINUSSIMPLE

MAKECOMPLEXIMINUSSIMPLE(Imaginary)

• $Imaginary$ is the imaginary part of the complex number.

Description

• MAKECOMPLEXIMINUSSIMPLE function represents a complex number using the imaginary coefficient mentioned in the argument. Here the imaginary coefficient is converted to negative value.
• As the argument does not contain real number, the real number coefficient is considered zero.
• A complex number is a combination of a real and an imaginary number.
• A number which is positive or negative, rational or irrational or decimals are called real numbers.
• An Imaginary number is a number that when squring it gives a negative result.
• For e.g. ${-4}^{2}=16$. Because a negative times a negative is positive.
• A complex number is in the form $z=a+bi$, where $a$ and $b$ are real numbers and $i$ is the imaginary unit. Where $i={\sqrt {-1}}$
• To mention $i$ and $j$, we must use the lower case only
• In a complex number $z$ real part is denoted by $Re(z)$ & imaginary part is denoted by $Im(z)$.
• MAKECOMPLEXIMINUSSIMPLE returns the error value, when $real$ and $imaginary$ are non-numeric.
• $Suffix$ should be either $i$ or $j$, otherwise it shows error value.
• A Complex number whose real part is zero is said to be purely imaginary.
• A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part.

1. =MAKECOMPLEXIMINUSSIMPLE (8) gives $0-i8$
2. =MAKECOMPLEXIMINUSSIMPLE (2,["j"]) gives $0-j2$

ZOS

• The syntax is to calculate MAKECOMPLEXIMINUSSIMPLE in ZOS is $MAKECOMPLEXIMINUSSIMPLE(IMAGINARY)$

• $IMAGINARY$ is the imaginary part.

Examples

1. =MAKECOMPLEXIMINUSSIMPLE(5) = 0-i5
2. =MAKECOMPLEXIMINUSSIMPLE(-5) = 0+i5
3. =MAKECOMPLEXIMINUSSIMPLE(1) = 0-i1
4. =MAKECOMPLEXIMINUSSIMPLE(-3,["j"]) = 0+j3

Related Videos

Complex Numbers

See Also

• COMPLEX
• MAKECOMPLEXIMINUS
• MAKECOMPLEXISIMPLE
• IMAGINARY
• IMREAL

References

• Complex Numbers

• List of Main Z Functions

• Z3 home