Complex Analysis Argument [on hold]Complex Analysis: Graphing an equationUnderstanding Integration in Complex...

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Complex Analysis Argument [on hold]


Complex Analysis: Graphing an equationUnderstanding Integration in Complex analysisComplex analysis integration with logsThe “argument” of a quaternionConfusion about definition of mappingBounding the principal complex logarithmArgument to deal withAbout the argument of a complex numberFind the argument of $-1/2+iT$Question of argument of z and (-z)













0












$begingroup$


I am trying to understand how verify this argument. I know how to graph each element but I can't see the relation between them. And I can't combine them under one related graph!
$$
|z-1| le left||z| - 1right| + |z|cdot |arg z|
$$










share|cite|improve this question









New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



put on hold as off-topic by mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician 23 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Welcome to MSE. What has your question to do with compactness?
    $endgroup$
    – José Carlos Santos
    yesterday






  • 2




    $begingroup$
    Do you know the triangle inequality? Do you know the polar form for a complex number $z = a + bi$? These things will help
    $endgroup$
    – Zubin Mukerjee
    yesterday










  • $begingroup$
    What do you mean by "graph" ? Geometrical representation ?
    $endgroup$
    – Jean Marie
    yesterday










  • $begingroup$
    Yes, I mean by geometrical representation. I know the complex number z = a + ib. But I want to compare between the two sides by using only graphs.
    $endgroup$
    – Gnglr
    8 hours ago
















0












$begingroup$


I am trying to understand how verify this argument. I know how to graph each element but I can't see the relation between them. And I can't combine them under one related graph!
$$
|z-1| le left||z| - 1right| + |z|cdot |arg z|
$$










share|cite|improve this question









New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



put on hold as off-topic by mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician 23 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician

If this question can be reworded to fit the rules in the help center, please edit the question.
















  • $begingroup$
    Welcome to MSE. What has your question to do with compactness?
    $endgroup$
    – José Carlos Santos
    yesterday






  • 2




    $begingroup$
    Do you know the triangle inequality? Do you know the polar form for a complex number $z = a + bi$? These things will help
    $endgroup$
    – Zubin Mukerjee
    yesterday










  • $begingroup$
    What do you mean by "graph" ? Geometrical representation ?
    $endgroup$
    – Jean Marie
    yesterday










  • $begingroup$
    Yes, I mean by geometrical representation. I know the complex number z = a + ib. But I want to compare between the two sides by using only graphs.
    $endgroup$
    – Gnglr
    8 hours ago














0












0








0





$begingroup$


I am trying to understand how verify this argument. I know how to graph each element but I can't see the relation between them. And I can't combine them under one related graph!
$$
|z-1| le left||z| - 1right| + |z|cdot |arg z|
$$










share|cite|improve this question









New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I am trying to understand how verify this argument. I know how to graph each element but I can't see the relation between them. And I can't combine them under one related graph!
$$
|z-1| le left||z| - 1right| + |z|cdot |arg z|
$$







complex-analysis compactness






share|cite|improve this question









New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited yesterday









gt6989b

34.8k22456




34.8k22456






New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked yesterday









GnglrGnglr

1




1




New contributor




Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Gnglr is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician 23 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician

If this question can be reworded to fit the rules in the help center, please edit the question.







put on hold as off-topic by mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician 23 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – mrtaurho, John Omielan, Kavi Rama Murthy, Xander Henderson, ancientmathematician

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $begingroup$
    Welcome to MSE. What has your question to do with compactness?
    $endgroup$
    – José Carlos Santos
    yesterday






  • 2




    $begingroup$
    Do you know the triangle inequality? Do you know the polar form for a complex number $z = a + bi$? These things will help
    $endgroup$
    – Zubin Mukerjee
    yesterday










  • $begingroup$
    What do you mean by "graph" ? Geometrical representation ?
    $endgroup$
    – Jean Marie
    yesterday










  • $begingroup$
    Yes, I mean by geometrical representation. I know the complex number z = a + ib. But I want to compare between the two sides by using only graphs.
    $endgroup$
    – Gnglr
    8 hours ago


















  • $begingroup$
    Welcome to MSE. What has your question to do with compactness?
    $endgroup$
    – José Carlos Santos
    yesterday






  • 2




    $begingroup$
    Do you know the triangle inequality? Do you know the polar form for a complex number $z = a + bi$? These things will help
    $endgroup$
    – Zubin Mukerjee
    yesterday










  • $begingroup$
    What do you mean by "graph" ? Geometrical representation ?
    $endgroup$
    – Jean Marie
    yesterday










  • $begingroup$
    Yes, I mean by geometrical representation. I know the complex number z = a + ib. But I want to compare between the two sides by using only graphs.
    $endgroup$
    – Gnglr
    8 hours ago
















$begingroup$
Welcome to MSE. What has your question to do with compactness?
$endgroup$
– José Carlos Santos
yesterday




$begingroup$
Welcome to MSE. What has your question to do with compactness?
$endgroup$
– José Carlos Santos
yesterday




2




2




$begingroup$
Do you know the triangle inequality? Do you know the polar form for a complex number $z = a + bi$? These things will help
$endgroup$
– Zubin Mukerjee
yesterday




$begingroup$
Do you know the triangle inequality? Do you know the polar form for a complex number $z = a + bi$? These things will help
$endgroup$
– Zubin Mukerjee
yesterday












$begingroup$
What do you mean by "graph" ? Geometrical representation ?
$endgroup$
– Jean Marie
yesterday




$begingroup$
What do you mean by "graph" ? Geometrical representation ?
$endgroup$
– Jean Marie
yesterday












$begingroup$
Yes, I mean by geometrical representation. I know the complex number z = a + ib. But I want to compare between the two sides by using only graphs.
$endgroup$
– Gnglr
8 hours ago




$begingroup$
Yes, I mean by geometrical representation. I know the complex number z = a + ib. But I want to compare between the two sides by using only graphs.
$endgroup$
– Gnglr
8 hours ago










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