why-we-can-not-compare-any-tow-complex-number-how-a-cmplex-number-is-uses-a-complex-number-practically-please-giveanexample-

Question Number 1426 by tabrez8590@gmail last updated on 31/Jul/15

w h y w e c a n n o t c o m p a r e a n y t o w c o m p l e x n u m b e r

h o w a c m p l e x n u m b e r i s u s e s a c o m p l e x n u m b e r p r a c t i c a l l y p l e a s e g i v e a n e x a m p l e

Commented by Rasheed Ahmad last updated on 03/Aug/15

T h i n g s w i t h r e s p e c t t o s i n g l e

c h a r a c t e r i s t i c a r e e a s y t o c o m p a r e .

F o r e x a m p l e i f w e c o n s i d e r

c o u n t i n g o f p e o p l e w e c a n e a s i l y

s a y t h a t^{'} T h i s c o u n t r y i s b i g g e r

t h a n t h a t .^{'}

B u t t h e t h i n g s w i t h m o r e t h a n

o n e c h a r a c t e r i s t i c s a r e n o t

c m p a r a b l e i n g e n e r a l .

F o r e x a m p l e I f^{'} c o u n t i n g o f

{p e o p l e}^{'} a n d^{'} {a r e a}^{'} a r e c o n s i d e r e d

w i t h c o u n t r i e s w e {c a n}^{'} t s a y^{'} T h i s

c o u n t r y i s b i g g e r t h a n {t h a t}^{'} .

I n t h e s a m e w a y t h e c o m p l e x

n u m b e r s h a v i n g t w o c h a r a c t e r i s t i c s

(R e a l a n d I m a g .) {c a n}^{'} t b e c o m p a r e d

i n g e n e r a l .

H o w e v e r a c h a r a c t e r i s t i c

h a s b e e n d e f i n e d n a m e d^{'} {m o d u l u s}^{'}

o f c o m p l e x n u m b e r a n d w i t h

r e s p e c t t o m o d u l u s t h e y c a n b e

c o m p a r e d .

(I f w e c o n s i d e r c o m p l e x n u m b e r s

a s p o i n t s i n {A r g a n d}^{'} s d i a g r a m (

c o m p l e x p l a n e) t h e m o d u l u s i s

t h e d i s t a n c e o f t h e p o i n t f r o m

o r i g i n)

F o r a p p i c a t i o n p l s e e

a d v a n c e d b o o k s o f d i f f e r n t

s u b j e c t s .