Question Number 1426 by tabrez8590@gmail last updated on 31/Jul/15
$${why}\:{we}\:{can}\:{not}\:{compare}\:{any}\:{tow}\:{complex}\:{number}\:\: \\ $$$${how}\:{a}\:{cmplex}\:{number}\:{is}\:{uses}\:{a}\:{complex}\:{number}\:{practically}\:{please}\:{giveanexample} \\ $$
Commented by Rasheed Ahmad last updated on 03/Aug/15
$${Things}\:{with}\:{respect}\:{to}\:{single}\: \\ $$$${characteristic}\:{are}\:{easy}\:{to}\:{compare}. \\ $$$$\:\:\:\:{For}\:{example}\:{if}\:{we}\:{consider}\: \\ $$$${counting}\:{of}\:{people}\:{we}\:{can}\:{easily} \\ $$$${say}\:{that}\:'\:{This}\:{country}\:{is}\:{bigger} \\ $$$${than}\:{that}.' \\ $$$$\:\:\:\:\:\:{But}\:{the}\:{things}\:{with}\:{more}\:{than} \\ $$$${one}\:{characteristics}\:{are}\:{not} \\ $$$${cmparable}\:{in}\:{general}. \\ $$$$\:\:\:\:\:\:\:{For}\:{example}\:{If}\:'{counting}\:{of} \\ $$$${people}'\:{and}\:'{area}'\:{are}\:{considered} \\ $$$${with}\:{countries}\:{we}\:{can}'{t}\:{say}\:'\:{This} \\ $$$${country}\:{is}\:{bigger}\:{than}\:{that}'. \\ $$$$\:\:\:\:\:\:\:\:\:{In}\:{the}\:{same}\:{way}\:{the}\:{complex} \\ $$$${numbers}\:{having}\:{two}\:{characteristics} \\ $$$$\left({Real}\:{and}\:{Imag}.\right)\:{can}'{t}\:{be}\:{compared} \\ $$$${in}\:{general}. \\ $$$$\:\:\:\:\:\:\:\:\:{However}\:{a}\:{characteristic} \\ $$$${has}\:{been}\:{defined}\:{named}\:'{modulus}' \\ $$$${of}\:{complex}\:{number}\:{and}\:{with}\: \\ $$$${respect}\:{to}\:{modulus}\:{they}\:{can}\:{be} \\ $$$${compared}. \\ $$$$\left({If}\:{we}\:{consider}\:{complex}\:{numbers}\right. \\ $$$${as}\:{points}\:{in}\:{Argand}'{s}\:{diagram}\:\left(\right. \\ $$$$\left.{complex}\:{plane}\right)\:{the}\:{modulus}\:{is} \\ $$$${the}\:{distance}\:{of}\:{the}\:{point}\:{from} \\ $$$$\left.{origin}\right) \\ $$$$\:\:\:\:\:\:\:\:{For}\:{appication}\:{pl}\:{see}\: \\ $$$${advanced}\:{books}\:{of}\:{differnt} \\ $$$${subjects}. \\ $$$$ \\ $$