What is this symbol? ordered field

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    Field Symbol
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Discussion Overview

The discussion revolves around identifying a specific symbol that appears in the context of ordered fields in mathematics. Participants explore various interpretations and representations of the symbol, including its potential names and uses in mathematical notation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest the symbol resembles a stylized letter F or H, with varying interpretations of its appearance.
  • There is speculation about whether the symbol could be a script F or another type of stylized letter.
  • Participants inquire about the correct usage of the symbol in mathematical contexts, particularly in relation to ordered fields.
  • Some suggest that the Unicode name "SCRIPT CAPITAL F" might apply to the symbol.
  • Discussion includes the notation \mathbb{F} and its common use for fields, particularly finite fields, with some participants noting that there is no strict convention for typography in representing ordered fields.
  • There are references to the use of F, K, and L as common notations for fields, with F standing for field, K for Korper, and L for Lichaam.
  • Humorous anecdotes related to the term "field" and its interpretations in different languages are shared among participants.

Areas of Agreement / Disagreement

Participants express differing views on the exact representation and naming of the symbol, with no consensus reached on its definitive identification or usage in mathematical notation.

Contextual Notes

Some participants mention the potential for confusion regarding the symbol's appearance and its context in mathematical expressions, indicating that assumptions about its meaning may vary.

Who May Find This Useful

Readers interested in mathematical notation, particularly in the context of fields and ordered fields, may find this discussion relevant.

flyingpig
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It looks like an F, but it also has an e

[PLAIN]http://img98.imageshack.us/img98/2161/unledbto.jpg

It means like ordered field

Thanks
 
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Could it be a script F?

[PLAIN]http://www.decodeunicode.org/en/data/glyph/196x196/2131.gif
 
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There is no e in yours and it looks like yours is bolded
 
I thought that perhaps the e might actually be the kind of loop you see on my F.

Sorry that it is bolded. :blushing: It was just the first F I could find that had such a loop.As an alternative it might be a H...

[PLAIN]http://typophile.com/files/H_6027.gif

or

[URL]http://images.inmagine.com/img/valueclips/unc269/u26688036.jpg[/URL]

I found one with flowers! :biggrin:
 
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OKay but what is it called?
 
flyingpig said:
OKay but what is it called?

H, pronounced "aych":biggrin:
In what context does it appear? Preferably, post the expression.
 
I tried \aych

Nothing

It appears in Ordered Field
 
flyingpig said:
OKay but what is it called?

Since it is supposed to represent an (ordered) field, I think F, pronounced "ef", which is the first letter of "field".
 
\ef

\ofield

None of them are working
 
  • #10
Unless it is an H, in which case mayhaps it refers to the quaternions? (it would be a strange font, though...)

None of them are working

It's just a stylized letter, it can mean whatever you want. It isn't going to be under "/field" or anything like that.
 
  • #11
flyingpig said:
I tried \aych

Nothing

It appears in Ordered Field

appears...where?
 
  • #12
Math, Ordered Field, it appears in
 
  • #13
flyingpig said:
Math, Ordered Field, it appears in

Quote the passage in which it appears.
 
  • #14
It seems you're trying Latex?

That would be:
\mathscr F
or
\mathcal F
 
  • #15
it kinda looks like it, but is it correct to use it?
 
  • #16
flyingpig said:
it kinda looks like it, but is it correct to use it?

Hmm, this may seem a bit repetitive, but I have to ask... use it when and where? :confused:
 
  • #17
Oh, and as for the name, perhaps the Unicode name "SCRIPT CAPITAL F" (code U02131) covers it?
 
  • #18
for ordered fields.
 
  • #19
flyingpig said:
for ordered fields.

Yes, you can use script capital F for an ordered field.
 
  • #20
what about \mathbb{F}? is that just for normal fields and not ordered ones?
 
  • #21
flyingpig said:
what about \mathbb{F}? is that just for normal fields and not ordered ones?

I'm not aware of any convention for the typography to represent a field.
This means you can use any typeface you want.
Most common seems to be simply italic F (F).

Also, there's no distinction in typography for an ordered field.
 
  • #22
The notation \mathbb{F} is used sometimes for field. But mostly for finite field. So the field with 9 elements is often written as \mathbb{F}_9.

If we are working with arbitrary fields, then it seems that F, K and L are the most common notations for fields. With F standing for field, K standing for Korper (german) and L standing for Lichaam :biggrin:
 
  • #23
micromass said:
The notation \mathbb{F} is used sometimes for field. But mostly for finite field. So the field with 9 elements is often written as \mathbb{F}_9.

If we are working with arbitrary fields, then it seems that F, K and L are the most common notations for fields. With F standing for field, K standing for Korper (german) and L standing for Lichaam :biggrin:

Ah finally someone who knows it by a name that I'm familiar with. :approve:
Won't this make you eligible for you-know-what?
Also, it gives your statement that you're living in a field a new meaning! :biggrin:
 
  • #24
I like Serena said:
Ah finally someone who knows it by a name that I'm familiar with. :approve:
Won't this make you eligible for you-know-what?
Also, it gives your statement that you're living in a field a new meaning! :biggrin:

There was once a PhD defense in my university. The title was "special places on fields", but then in dutch. The auditorium was packed until they realized that it was about mathematics.
 
  • #25
lol. Did you already post that in Lame jokes?
 
  • #26
I like Serena said:
lol. Did you already post that in Lame jokes?

It's only funny if you know dutch or german though :frown:
 
  • #27
micromass said:
It's only funny if you know dutch or german though :frown:

Well, I have to look up English words to get some of those jokes! :wink:
Having to look up a word is pretty lame, which is kind of fitting.
 
  • #28
micromass said:
There was once a PhD defense in my university. The title was "special places on fields", but then in dutch. The auditorium was packed until they realized that it was about mathematics.

:giggle:

A math PhD candidate I know just told me that as he was first preparing for the language requirement for his candidacy, he came across the word 'corps' in the paper he was reading (in french) and was confused as to what a body had to do with math.
 
  • #29
First time I saw the word "field" was when micromass used it somewhere.
I thought it was about some esoteric part of math that I never heard about.
It took some Googling before I realized that I did know it! :redface:
 

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