Template talk:Numbers

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)

workspace

Elementary

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

$\mathbb {N}$ Naturals {0,1,2,3..}
$\mathbb {P}$ Primes {$\mathbb {N}$, }
$\mathbb {Z}$ Integers {..-1,0,1,..}
$\mathbb {D}$ Decimals (.454, etc.)
$\mathbb {Q}$ Rationals { $\mathbb {Z} ,1/2,1/3,1/4$ etc.}
$\mathbb {R}$ Real numbers {$\mathbb {Z} ,\mathbb {Q} ,\mathrm {i} ,\mathbb {T}$}
$\mathbb {C}$ Complex {$\mathbb {R} ,\mathrm {i}$},

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

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

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.

Number systems in mathematics.
Elementary
$\mathbb {N}$ Naturals {0,1,2,3..} $\mathbb {P}$ Primes ⊂$\mathbb {N}$, $\mathbb {P}$=$\mathbb {N}$x:{1,x} $\mathbb {Z}$ Integers {..-1,0,1,..} $\mathbb {Q}$ Rationals { $\mathbb {Z} ,1/2,1/3,1/4$ etc.} Irrational numbers Constructibles Algebraic $\mathbb {Tr}$Transcendentals π Pi 3.14159 26535 e "e" (constant) ≈ 2.71828 (≠ $\mathbb {Q}$) $\mathbb {R}$ Real numbers {$\mathbb {Z} ,\mathbb {Q} ,\mathrm {i} ,\mathrm {Tr}$} Computable numbers $\mathbb {R}$Reals { $\mathrm {i}$ Imaginary unit ≈/$={\sqrt {-1}}$ $\mathbb {C}$ Complex {$\mathbb {R} ,\mathrm {i}$}, R1,1 Split-complex
Complex extensions
Bicomplex Hypercomplex {$\mathbb {R}$,i,j,k} Quaternions ~i2=j2=k2=ijk=-1 Octonions Sedenions Superreal Hyperreal Surreal
Complex extensions
Nominal Ordinal {} size, position {n} Cardinal {$\aleph _{1},\aleph _{2},\aleph _{3},\cdots$} p-adic's Integer sequences Math constants Large numbers ∞ Infinity <>

Number systems in mathematics.
Elementary
$\mathbb {N}$ 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 { $\mathbb {Z}$, 1/2 , 1/3 , 2/3, 1/4 etc.} Irrational numbers Constructibles Imaginary numbers $\mathbb {R}$ Real numbers {$\mathbb {Z} ,\mathbb {Q}$} $\mathbb {C}$ 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
Types of 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 <>