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Question Number 1255 by e.nolley@ieee.org last updated on 18/Jul/15
(X,F(X)), X∈C, F(X)∈C,  can be    plotted in R^2  (Im on Y, Real on X  axes) as a directed line segment,   ^ (X)−−≫(F(X))^() . This has  the advantage of showing vector   ffields, fixed points and bifurcations.
$$\left(\mathrm{X},\mathrm{F}\left(\mathrm{X}\right)\right),\:\mathrm{X}\in{C},\:\mathrm{F}\left(\mathrm{X}\right)\in{C},\:\:\mathrm{can}\:\mathrm{be}\:\: \\ $$$$\mathrm{plotted}\:\mathrm{in}\:\mathrm{R}^{\mathrm{2}} \:\left(\mathrm{Im}\:\mathrm{on}\:\mathrm{Y},\:\mathrm{Real}\:\mathrm{on}\:\mathrm{X}\right. \\ $$$$\left.\mathrm{axes}\right)\:\mathrm{as}\:\mathrm{a}\:\mathrm{directed}\:\mathrm{line}\:\mathrm{segment}, \\ $$$$\overset{} {\:}\overset{} {\left(\mathrm{X}\right)−−\gg\left(\mathrm{F}\left(\mathrm{X}\right)\right)}.\:\mathrm{This}\:\mathrm{has} \\ $$$$\mathrm{the}\:\mathrm{advantage}\:\mathrm{of}\:\mathrm{showing}\:\mathrm{vector}\: \\ $$$$\mathrm{ffields},\:\mathrm{fixed}\:\mathrm{points}\:\mathrm{and}\:\mathrm{bifurcations}. \\ $$$$ \\ $$
Commented by Rasheed Ahmad last updated on 18/Jul/15
There are two reals (Re(X) and   Re( F(x)  )). Do you intend both to  plot on same real axis (X)? And   for im(X) and  im( F(x) ) same   imaginary axis (Y)?
$${There}\:{are}\:{two}\:{reals}\:\left({Re}\left({X}\right)\:{and}\:\right. \\ $$$$\left.{Re}\left(\:{F}\left({x}\right)\:\:\right)\right).\:{Do}\:{you}\:{intend}\:{both}\:{to} \\ $$$${plot}\:{on}\:{same}\:{real}\:{axis}\:\left({X}\right)?\:{And}\: \\ $$$${for}\:{im}\left({X}\right)\:{and}\:\:{im}\left(\:{F}\left({x}\right)\:\right)\:{same}\: \\ $$$${imaginary}\:{axis}\:\left({Y}\right)? \\ $$
Answered by 123456 last updated on 18/Jul/15
then you using complex number like  vector :)
$$\mathrm{then}\:\mathrm{you}\:\mathrm{using}\:\mathrm{complex}\:\mathrm{number}\:\mathrm{like} \\ $$$$\left.\mathrm{vector}\::\right) \\ $$
Commented by Rasheed Soomro last updated on 21/Jul/15
THANKS  to think for advancement of the App.  Realy function plotter feature is our need.  Also thanks to take interest in our conversation.
$${THANKS}\:\:{to}\:{think}\:{for}\:{advancement}\:{of}\:{the}\:{App}. \\ $$$${Realy}\:{function}\:{plotter}\:{feature}\:{is}\:{our}\:{need}. \\ $$$${Also}\:{thanks}\:{to}\:{take}\:{interest}\:{in}\:{our}\:{conversation}. \\ $$
Commented by Tinku Tara last updated on 20/Jul/15
Thanks for the discussion.  We will add function plotter featurrs to this  application.
$$\mathrm{Thanks}\:\mathrm{for}\:\mathrm{the}\:\mathrm{discussion}. \\ $$$$\mathrm{We}\:\mathrm{will}\:\mathrm{add}\:\mathrm{function}\:\mathrm{plotter}\:\mathrm{featurrs}\:\mathrm{to}\:\mathrm{this} \\ $$$$\mathrm{application}. \\ $$

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