Manuals/calci/MAKECOMPLEXIPLUS

MAKECOMPLEXIPLUS (Real,Imaginary)

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

Description

• MAKECOMPLEXIPLUS function converts the imaginary coefficient of a complex number into 'positive' coefficient.
• 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 a 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 $Im(z)$.
• MAKECOMPLEXIPLUS returns the error value, when $Real$ and $Imaginary$ are non-numeric.
• 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. =MAKECOMPLEXIPLUS (5,2) gives $5+i2$
2. =MAKECOMPLEXIPLUS (5,2,["j"]) gives $5+j2$

ZOS

• The syntax is to calculate MAKECOMPLEXIPLUS in ZOS is $MAKECOMPLEXIPLUS(Real,Imaginary)$
• $REAL$ is the real part.
• $IMAGINARY$ is the imaginary part.

Examples

1. =MAKECOMPLEXIPLUS(4,-5) = 4-i5
2. =MAKECOMPLEXIPLUS(4,5) = 4+i5
3. =MAKECOMPLEXIPLUS(1,-10,"j") = 1-j10
4. =MAKECOMPLEXIPLUS(1,0) = 1+i0
5. =MAKECOMPLEXIPLUS(1..3,-5)

Real	Imaginary	MAKECOMPLEXIPLUS
1	-5	1-5ⅈ
2	-5	2-5ⅈ
3	-5	3-5ⅈ

Related Videos

Complex Numbers

See Also

• COMPLEX
• MAKECOMPLEXIMINUS
• IMAGINARY
• IMREAL

References

Complex Numbers

• List of Main Z Functions

• Z3 home