This is a list of common code templates and styles we use at timescalewiki.
Theorem/proof box template
The code
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<strong>THEOREM/LEMMA/PROPOSITION:</strong> STATEMENT OF THEOREM
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<strong>Proof:</strong> proof goes here █
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creates
THEOREM/LEMMA/PROPOSITION: STATEMENT OF THEOREM
Generic list of time scales
The code
{| class="wikitable"
|+Time Scale foo Functions
|-
|$\mathbb{T}$
|
|-
|[[Real_numbers | $\mathbb{R}$]]
|$foo(t)= $
|-
|[[Integers | $\mathbb{Z}$]]
|$foo(t) = $
|-
|[[Multiples_of_integers | $h\mathbb{Z}$]]
| $foo(t) = $
|-
| [[Square_integers | $\mathbb{Z}^2$]]
| $foo(t) = $
|-
|[[Quantum_q_greater_than_1 | $\overline{q^{\mathbb{Z}}}, q > 1$]]
| $foo(t) = $
|-
|[[Quantum_q_less_than_1 | $\overline{q^{\mathbb{Z}}}, q < 1$]]
| $foo(t) =$
|-
|[[Harmonic_numbers | $\mathbb{H}$]]
|$foo(t) = $
|}
generates
General format for time scale pages
$\mathbb{T}=TIMESCALESYMBOL$
| Forward jump:
|
$\sigma(t)=$
|
derivation
|
| Forward graininess:
|
$\mu(t)=$
|
derivation
|
| Backward jump:
|
$\rho(t)=$
|
derivation
|
| Backward graininess:
|
$\nu(t)=$
|
derivation
|
| $\Delta$-derivative
|
$f^{\Delta}(t)=$
|
derivation
|
| $\nabla$-derivative
|
$f^{\nabla}(t)=$
|
derivation
|
| $\Delta$-integral
|
$\displaystyle\int_s^t f(\tau) \Delta \tau=$
|
derivation
|
| $\nabla$-integral
|
$\displaystyle\int_s^t f(\tau) \nabla \tau=$
|
derivation
|
| $h_k(t,s)$
|
$h_k(t,s)=$
|
derivation
|
| $\hat{h}_k(t,s)$
|
$\hat{h}_k(t,s)=$
|
derivation
|
| $g_k(t,s)$
|
$g_k(t,s)=$
|
derivation
|
| $\hat{g}_k(t,s)$
|
$\hat{g}_k(t,s)=$
|
derivation
|
| $e_p(t,s)$
|
$e_p(t,s)=$
|
derivation
|
| $\hat{e}_p(t,s)$
|
$\hat{e}_p(t,s)=$
|
derivation
|
| Gaussian bell
|
$\mathbf{E}(t)=$
|
derivation
|
| $\mathrm{sin}_p(t,s)=$
|
$\sin_p(t,s)=$
|
derivation
|
| $\mathrm{\sin}_1(t,s)$
|
$\sin_1(t,s)=$
|
derivation
|
| $\widehat{\sin}_p(t,s)$
|
$\widehat{\sin}_p(t,s)=$
|
derivation
|
| $\mathrm{\cos}_p(t,s)$
|
$\cos_p(t,s)=$
|
derivation
|
| $\mathrm{\cos}_1(t,s)$
|
$\cos_1(t,s)=$
|
derivation
|
| $\widehat{\cos}_p(t,s)$
|
$\widehat{\cos}_p(t,s)=$
|
derivation
|
| $\sinh_p(t,s)$
|
$\sinh_p(t,s)=$
|
derivation
|
| $\widehat{\sinh}_p(t,s)$
|
$\widehat{\sinh}_p(t,s)=$
|
derivation
|
| $\cosh_p(t,s)$
|
$\cosh_p(t,s)=$
|
derivation
|
| $\widehat{\cosh}_p(t,s)$
|
$\widehat{\cosh}_p(t,s)=$
|
derivation
|
| Gamma function
|
$\Gamma_{TIMESCALESYMBOL}(x,s)=$
|
derivation
|
| Euler-Cauchy logarithm
|
$L(t,s)=$
|
derivation
|
| Bohner logarithm
|
$L_p(t,s)=$
|
derivation
|
| Jackson logarithm
|
$\log_{TIMESCALESYMBOL} g(t)=$
|
derivation
|
| Mozyrska-Torres logarithm
|
$L_{TIMESCALESYMBOL}(t)=$
|
derivation
|
| Laplace transform
|
$\mathscr{L}_{TIMESCALESYMBOL}\{f\}(z;s)=$
|
derivation
|
| Hilger circle
|
|
derivation
|
