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May 9th, 2016, 08:32 PM   #1
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[ASK] Greek Letter Notations

What is the difference between $\displaystyle \epsilon$ and $\displaystyle \varepsilon$, $\displaystyle \theta$ and $\displaystyle \vartheta$, $\displaystyle \pi$ and $\displaystyle \varpi$, $\displaystyle \rho$ and $\displaystyle \varrho$, as well as $\displaystyle \phi$ and $\displaystyle \varphi$? And I am asking about their use in math. Also, is Golden Ratio $\displaystyle \phi$ or $\displaystyle \varphi$?
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May 9th, 2016, 09:08 PM   #2
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What do you mean what is the difference. They're just symbols. You can use them to express whatever you like... Although by convention, certain symbols are consistently used to express certain things.. Which I know you already know.
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May 9th, 2016, 10:14 PM   #3
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Quote:
Originally Posted by Monox D. I-Fly View Post
Also, is Golden Ratio $\displaystyle \phi$ or $\displaystyle \varphi$?
I think $\varphi$ is usually used.
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May 9th, 2016, 10:18 PM   #4
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As far as I can glean from a quick wikipedia search, the second glyphs are cursive script and the first are print.
If you want to know what the various different symbols are commonly used for, wikipedia also has a nice list.

I've only ever seen $\varphi$ used for the golden ratio.
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May 11th, 2016, 07:28 PM   #5
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Originally Posted by Joppy View Post
What do you mean what is the difference. They're just symbols. You can use them to express whatever you like... Although by convention, certain symbols are consistently used to express certain things.. Which I know you already know.
Really? Can I express the area of a circle by $\displaystyle \varpi r^2$?

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Originally Posted by v8archie View Post
I think $\varphi$ is usually used.
Guess so...

Quote:
Originally Posted by Azzajazz View Post
As far as I can glean from a quick wikipedia search, the second glyphs are cursive script and the first are print.
If you want to know what the various different symbols are commonly used for, wikipedia also has a nice list.
Wait... So, ancient Greek people wrote pi as $\displaystyle \varpi$?
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May 11th, 2016, 07:54 PM   #6
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Originally Posted by Monox D. I-Fly View Post
Really? Can I express the area of a circle by $\displaystyle \varpi r^2$?
Sure, but define $\displaystyle \varpi$ and $\displaystyle r^2$

Quote:
Wait... So, ancient Greek people wrote pi as $\displaystyle \varpi$?
Ancient Greek people? Most of the greek alphabet is still used in the modern greek language.
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May 11th, 2016, 08:06 PM   #7
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Ancient Greek people? Most of the greek alphabet is still used in the modern greek language.
But... Azzajazz said that $\displaystyle \pi$ is a print script.
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May 11th, 2016, 08:48 PM   #8
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It's like the difference between a normal p and the cursive p shown below.
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May 11th, 2016, 09:30 PM   #9
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A convenient list is on Microsoft word in the equation editor. @Monox, if you have Word, create an equation, then click on the list of symbols in the tool-bar. It categorises them nicely. Eg, Greek UpperCase, Lowecase, scripts, etc.
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