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Why do we use $Omega$ to Represent a Subset of $mathbbR^n$

Why do mathematicians use single-letter variables?Why do mathematicians use this symbol $mathbb R$ to represent the real numbers?Borel-Cantelli (proof and application)Why $H^1(Omega)cap H^2(Omega_-)cap H^2(Omega_+) subset W^1_p(Omega),forall p>2$?Is it true that $C_1|Delta u |_0,Omega leq |u|_2,Omega leq C_2|Delta u |_0,Omega$ for a bounded domain $OmegasubsetmathbbR^2$?Why do we use degrees?How to Axiomize the Notion of “Continuous Space”?Which are the mathematical problems in non-standard analysis? (If any)Whenever Laplace's equation is solved in $Omega subset mathbbR^2$, the boundary $partialOmega$ is one-dimensional. …Let $f$ be holomorphic on an open connected subset $Omegasubseteq mathbbC$.

2

1

$begingroup$

From Wade's "Introduction to Analysis":

NOTE: Because French mathematicians (e.g., Borel, Jordan, and Lebesgue) did fundamental work on the connection between analysis and set theory, and ensemble is French for set, analysts frequently use E to represent a general set.

Most undergraduate analysis texts use $E$ for a subset of $mathbbR$, but in complex analysis and PDE we tend to use $Omega$ almost exclusively (at least in the texts I have read). Is there any rhyme or reason behind using $Omega$, and does anyone know the history leading to the ubiquity of $Omega$ to mean a region in $mathbbR^n$ for PDE specifically?

real-analysis complex-analysis pde soft-question math-history

share|cite|improve this question

asked yesterday

Kyle CKyle C

212

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  maybe this: $Omega$ in Greek corresponds to $O$ in English, and $O$ might stand for "open"
  $endgroup$
  – zhw.
  yesterday
  

  
  
  
  

add a comment | 

2

1

$begingroup$

From Wade's "Introduction to Analysis":

NOTE: Because French mathematicians (e.g., Borel, Jordan, and Lebesgue) did fundamental work on the connection between analysis and set theory, and ensemble is French for set, analysts frequently use E to represent a general set.

Most undergraduate analysis texts use $E$ for a subset of $mathbbR$, but in complex analysis and PDE we tend to use $Omega$ almost exclusively (at least in the texts I have read). Is there any rhyme or reason behind using $Omega$, and does anyone know the history leading to the ubiquity of $Omega$ to mean a region in $mathbbR^n$ for PDE specifically?

real-analysis complex-analysis pde soft-question math-history

share|cite|improve this question

asked yesterday

Kyle CKyle C

212

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  maybe this: $Omega$ in Greek corresponds to $O$ in English, and $O$ might stand for "open"
  $endgroup$
  – zhw.
  yesterday
  

  
  
  
  

add a comment | 

$begingroup$

From Wade's "Introduction to Analysis":

NOTE: Because French mathematicians (e.g., Borel, Jordan, and Lebesgue) did fundamental work on the connection between analysis and set theory, and ensemble is French for set, analysts frequently use E to represent a general set.

Most undergraduate analysis texts use $E$ for a subset of $mathbbR$, but in complex analysis and PDE we tend to use $Omega$ almost exclusively (at least in the texts I have read). Is there any rhyme or reason behind using $Omega$, and does anyone know the history leading to the ubiquity of $Omega$ to mean a region in $mathbbR^n$ for PDE specifically?

real-analysis complex-analysis pde soft-question math-history

share|cite|improve this question

asked yesterday

Kyle CKyle C

212

$endgroup$

share|cite|improve this question

asked yesterday

Kyle CKyle C

212

share|cite|improve this question

asked yesterday

Kyle CKyle C

212

asked yesterday

Kyle CKyle C

212

asked yesterday

Kyle CKyle C

212