Template talk:Numbers

PLEASE NOTE

It seems not clear to some visitors (in view of the latest 3 edits, e.g. [1]) that the "Templates" displayed below are by now largely outdated versions which have (luckily) almost nothing more in common with the current version, so it's of no use to make corrections to them here. 20:48, 21 Jun 2005 (UTC)

PS:maybe those appearing there could be "cut down" to the parts that are discussed here, which would at the same time avoid confusion and save space. — MFH: Talk

PPS: IF s.o. wants to change the template, please also replace \ne\Q by \notin\Q at "e (constant)".

duplicates

The heading "complex extensions" occurs twice in this template which looks like an error. Being Danish, I shall avoid any other action than this comment :-). Kind regards --83.88.250.55 10:55, 26 Apr 2005 (UTC)

In addition, the line "Reals" contains a { that should be removed. --83.88.250.55 16:27, 26 Apr 2005 (UTC)

No, in fact the lines "Real numbers" and "Reals" both refer to the same article, so the latter should be removed entirely. --83.88.250.55 16:40, 26 Apr 2005 (UTC)

I would encourage you to login and edit it. I personally struggle with how best to represent or organize complex and trancendental numbers, and am unsure how much depth it should have. In any case, Id prefer that someone more knowledgeable edit it, and that's the main why it was posted on the numbers article. I will take a look now at making some changes, but would encourage you to Be Bold in editing. -SV|t|add 20:43, 26 Apr 2005 (UTC)

I took a deep breath and tried it. Please find the result at the bottom of this page. Regards, Sir48 (Denmark)

workspace

Numbers in mathematics.
Basic classes
$\mathbb {N}$ Naturals {0,1,2,3..} $\mathbb {P}$ Primes ⊂$\mathbb {N}$, $\mathbb {P}$=$\mathbb {N}$x:{1,x} $\mathbb {Z}$ Integers {..-1,0,1,..} $\mathbb {D}$ Decimals (.454, etc.) $\mathbb {Q}$ Rationals { $\mathbb {Z}$, fractions} Constructibles Irrational numbers $\mathbb {R}$ Real numbers {$\mathbb {Z} ,\mathbb {Q}$} Imaginary numbers $\mathbb {C}$ Complex numbers {$\mathbb {R} ,\mathrm {i}$}, Algebraic numbers $\mathbb {T}$Transcendentals ω -> inf Transfinite numbers Computable numbers R1,1 Split-complex
Complex extensions
Bicomplex Hypercomplex {$\mathbb {R}$,i,j,k} Quaternions ~i2=j2=k2=ijk=-1 Octonions Sedenions Superreal Hyperreal Surreal
Other numbers / special numbers
Nominal Ordinal size, position {n} Cardinal {$\aleph _{1},\aleph _{2},\aleph _{3},\cdots$} p-adic's Integer sequences Math constants Large numbers $\mathrm {i}$ Imaginary unit ≈/$={\sqrt {-1}}$ π Pi = {3.14159 26535 ...} e "e" (constant) ≈ 2.71828 (≠ $\mathbb {Q}$) ∞ Infinity <>

Basic classes

$\mathbb {N} \subset \mathbb {Z} \subset \mathbb {D} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C}$

$\mathbb {N}$ Naturals {0,1,2,3..}
$\mathbb {P}$ Primes {$\mathbb {N}$, }
$\mathbb {Z}$ Integers {..-1,0,1,..}
$\mathbb {D}$ Decimals (.454, etc.)
$\mathbb {Q}$ Rationals $\left\{{\frac {m}{n}}:m\in \mathbb {Z} ,n\in \mathbb {Z} ,n\neq 0\right\}$
Constructibles
Irrational numbers
$\mathbb {R}$ Real numbers {$\mathbb {Z} ,\mathbb {Q} ,\mathrm {i} ,\mathbb {T}$}
Imaginary numbers
$\mathbb {C}$ Complex {$\mathbb {R} ,\mathrm {i}$},
Algebraic numbers
$\mathbb {T}$Transcendentals
Transfinite numbers
Computable numbers
R^1,1 Split-complex

Complex extensions

Bicomplex
Hypercomplex
{$\mathbb {R}$,i,j,k} Quaternions ~i²=j²=k²=ijk=-1
Octonions
Sedenions
Superreal
Hyperreal
Surreal

Other numbers / special numbers

Nominal
Ordinal size, position {n}
Cardinal {$\aleph _{1},\aleph _{2},\aleph _{3},\cdots$}
p-adic's
Integer sequences
Math constants
Large numbers
$\mathrm {i}$ Imaginary unit ≈/$={\sqrt {-1}}$
π Pi = {3.14159 26535 ...}
e "e" (constant) ≈ 2.71828 (≠ $\mathbb {Q}$)
∞ Infinity

Definitions

Irrational numbers
Constructibles
Algebraic

Trancendentals

$\mathbb {T}$Transcendentals
π Pi 3.14159 26535
e "e" (constant) ≈ 2.71828 (≠ $\mathbb {Q}$)
Computable numbers
$\mathrm {i}$ Imaginary unit ≈/$={\sqrt {-1}}$
R^1,1 Split-complex

Complex extensions

Bicomplex
Hypercomplex
$\mathbb {H}$ Quaternions {$\mathbb {R}$,i,j,k}
(~i²=j²=k²=ijk=-1
) Octonions
Sedenions
Superreal
Hyperreal
Surreal

Nominals, Ordinals

Nominal
Ordinal size, position {n}
Cardinal {$\aleph _{1},\aleph _{2},\aleph _{3},\cdots$}
p-adic's
Integer sequences
Math constants
Large numbers
∞ Infinity

scratch

{$\mathbb {Z} ,1/2,1/3,1/4$ etc.}

Constants list

π - e - √2 - √3 - γ - φ - β^* - δ - α - C₂ - M₁ - B₂ - B₄ - Λ - K - K - K - B´_L - μ - - E_B - Ω - β - λ - D(1) - λμ - Cah. - Lap. - A-G - Λ - K-L - Apr. - θ - Bac. - Prt. - Lb. - Niv. - Sie. - Kin. - F - L

Suggestion for template:Numbers

Numbers in mathematics.
Basic classes
$\mathbb {N}$ Naturals {0,1,2,3..} $\mathbb {P}$ Primes ⊂$\mathbb {N}$, $\mathbb {P}$=$\mathbb {N}$x:{1,x} $\mathbb {Z}$ Integers {..-1,0,1,..} $\mathbb {D}$ Decimals (.454, etc.) $\mathbb {Q}$ Rationals { $\mathbb {Z}$, fractions} Constructibles Irrational numbers $\mathbb {R}$ Real numbers {$\mathbb {Z} ,\mathbb {Q}$} Imaginary numbers $\mathbb {C}$ Complex numbers {$\mathbb {R} ,\mathrm {i}$}, Algebraic numbers $\mathbb {Tr}$Transcendentals Transfinite numbers Computable numbers R1,1 Split-complex
Complex extensions
Bicomplex Hypercomplex {$\mathbb {R}$,i,j,k} Quaternions ~i2=j2=k2=ijk=-1 Octonions Sedenions Superreal Hyperreal Surreal
Other numbers/special numbers
Nominal Ordinal size, position {n} Cardinal {$\aleph _{1},\aleph _{2},\aleph _{3},\cdots$} p-adic's Integer sequences Math constants Large numbers $\mathrm {i}$ Imaginary unit ≈/$={\sqrt {-1}}$ π Pi = {3.14159 26535 ...} e "e" (constant) ≈ 2.71828 (≠ $\mathbb {Q}$) ∞ Infinity <>

Please find below my suggestion for rearranging the template. The changes I've made are the following:

• for naturals, I specified 1/2, 1/3,2/3,1/4 etc. according to "normal" notation
• I've tried to arrange the list of elementary better according to quantity. I´m not sure about the right positioning of computable and split-complex numbers
• I removed i and Tr from the real numbers - I don't think they belong there.
• I removed a dual entry/link for real numbers (reals)
• I added the transfinite numbers to the list
• pi, i, and e were moved to the last section. They are the basic symbols of geometry, complex numbers, and logarithms, respectively (and elements of the famous Euler equation)
• I tried to find a proper heading for the last section. Improvements may be found.
• and, finally, a small amount of editing

Please have the list inspected by a mathematician - I'm just an informed amateur :-).

Kind regards, Sir48 (Denmark)

PS! I entered the existing template to the left for easy comparison.

Thanks! I was moving it to the right, just as you were moving it left. Thanks again, Ive incorporated your suggestions into the list above, and am working on making small images in place of the larger math formula renderings. Size is a factor. :) -SV|t 00:55, 28 Apr 2005 (UTC)

Understandable :) Came to think about imaginary numbers again. I added them to the list. Some might argue that "imaginary numbers" don´t exist, the precise entity being: The imaginary part of a complex number. Regards Sir48 (Denmark)

I couldn't resist moving imaginary numbers to their proper place. Also, I changed the exemplification of rationals to make the template smaller. Regards Sir48 (Denmark)

T for transcendentals??

I object vigurously to the BBB 'T' for transcendentals, at least(!) 99% of all mathematicians would recognize this instantly as the torus and never think of transcendentals (btw, this symbol isn't even mentioned on the corresponding page). — MFH: Talk 22:10, 12 May 2005 (UTC)