Math Symbol: All Imaginary Numbers.?

Question

I'm trying to write some theorems involving imaginary numbers and one of them is involving "All Imaginary Numbers"

I know that all read numbers is: ℝ
So what is all imaginary numbers: ?

I saw an image on wikipedia : http://upload.wikimedia.org/math/a/4/5/a451c1a8e48f5769fa6eff6e3ee7b862.png

But is this the symbol representation, if so how do I put it in text?

Thanks!

Answer 1

The symbol you want is 𝕀 ( http://www.fileformat.info/info/unicode/char/1d540/index.htm ). See also http://www.unicode.org/charts/PDF/U1D400.pdf for the Unicode block from which it comes.



The information below assumes you are using Microsoft Windows:



The symbol is a Plane 1 Unicode character and so does not appear in Microsoft Character Map even if it is in the font to which Character Map is set because Character Map only shows characters up to U+FFFF. It probably will also not appear in the Microsoft Office Charmap. It does appear in in the Special Characters map in OpenOffice.org. Or you can download and install the free utility BabelMap from http://www.babelstone.co.uk/Software/BabelMap.html which works like Character Map but shows all the Unicode characters.



If you are using the Macintosh, see http://scholarsfonts.net/Plane1.htm which is a little out-of-date but should be adequate for your purposes.



If using 𝕀 in a word processor document you will probably need to set the character into a font that contains 𝕀.



To find out if you have such a font, again go into http://www.fileformat.info/info/unicode/char/1d540/index.htm and mouse-click on “Fonts that support U+1D540” which will bring up this page: http://www.fileformat.info/info/unicode/char/1d540/fontsupport.htm .



If you don’t have any of the fonts listed or can’t see the character in this forum, then mouse-click on “Local Font List” which will show how the character looks on every Unicode font on your system. If it doesn’t look fine in any of your fonts, then I suggest you download and install the free DejaVu fonts from http://dejavu-fonts.org/wiki/index.php?title=Main_Page and/or the Symbola font from http://users.teilar.gr/~g1951d/ .



All Unicode, mathematical, double-struck, alphanumeric and Greek symbols:



𝕒𝔸 𝕓𝔹 𝕔ℂ 𝕕𝔻 ⅆⅅ 𝕖𝔼 ⅇ 𝕗𝔽 𝕘𝔾 𝕙ℍ 𝕚𝕀 ⅈ 𝕛𝕁 ⅉ 𝕜𝕂 𝕝𝕃 𝕞𝕄 𝕟ℕ 𝕠𝕆 𝕡ℙ 𝕢ℚ 𝕣ℝ𝕤𝕊 𝕥𝕋 𝕦𝕌 𝕧𝕍 𝕨𝕎 𝕩𝕏 𝕪𝕐 𝕫ℤ ℽℾ ℼℿ ⅀  𝟘𝟙𝟚𝟛𝟜𝟝𝟞𝟟𝟠𝟡



See http://www.unicode.org/charts/PDF/U2100.pdf and http://www.unicode.org/charts/PDF/U1D400.pdf .



You may not be able to see most of the double-struck characters in this post if you are using Internet Explorer or the Google Chrome browser or even Safari. I suggest Firefox or Seamonkey.

Answer 2

Imaginary Numbers Chart

Answer 3

This Site Might Help You.



RE:

Math Symbol: All Imaginary Numbers.?

I'm trying to write some theorems involving imaginary numbers and one of them is involving "All Imaginary Numbers"



I know that all read numbers is: ℝ

So what is all imaginary numbers: ?



I saw an image on wikipedia :...

Answer 4

there was no image on that link.

Answer 5

I think you want a capital R, but with double vertical line, for reals.

I think your image is just trying to be an "i".

"C", with a short vertical line near the left edge, is often used for the complex numbers.

Not real could be "C/R", meaning "complex, but not real".