# formulas_formula

formula_id: E_k
title: Wzór na energię kinetyczną
description: Wzór zawiera [[symbol:01011]] i [[symbol:01021]]
meta: 123
tags: ["1"]
raw_latex: "W = \\int_{a}^{b}\\{F}(x) \\, dx"
calculator: 123
code: 020101
created_at: 2025-07-26 15:36:29.897973
latex:
  U = \int_0^L \frac{ \htmlData{symbol=01011}{F}(x)^2 }{ 2 \cdot \htmlData{symbol=01011}{E} \cdot \htmlData{symbol=01021}{A}(x) }\, \htmlData{symbol=01011}{dx}


formula_id: Pojebany jakiś wzór
title: pojebany wzór
description: Bardzo długi wzór na potrzebę testów
meta: Bardzo długi wzór na potrzebę testów
tags: ["123"]
calculator: 123
code: 010104
created_at: 2025-08-11 22:09:14.873418
latex:
  \boxed{\mathcal{J}_{\alpha,\beta,\gamma}(A,s)=\operatorname{Res}_{z=1}\left[\oint_{\Gamma}\frac{\det\left(I-\alpha e^{-zA}\right)^{\beta}}{(z-1)^{\gamma}}\left(\sum_{n=1}^{\infty}\frac{(-1)^{n}}{n^{s}}\right)\left(\prod_{k=1}^{\infty}\left(1-\frac{z}{k+\varphi}\right)\right)dz\right]=\frac{\Gamma(\gamma)}{2\pi i}\int_{-\infty}^{\infty}\frac{\zeta(s+it)^{\beta}}{(1+it)^{\gamma}}e^{-\alpha t^{2}}\,dt}

raw_latex:
  \boxed{\mathcal{J}_{\alpha,\beta,\gamma}(A,s)=\operatorname{Res}_{z=1}\left[\oint_{\Gamma}\frac{\det\left(I-\alpha e^{-zA}\right)^{\beta}}{(z-1)^{\gamma}}\left(\sum_{n=1}^{\infty}\frac{(-1)^{n}}{n^{s}}\right)\left(\prod_{k=1}^{\infty}\left(1-\frac{z}{k+\varphi}\right)\right)dz\right]=\frac{\Gamma(\gamma)}{2\pi i}\int_{-\infty}^{\infty}\frac{\zeta(s+it)^{\beta}}{(1+it)^{\gamma}}e^{-\alpha t^{2}}\,dt}


# content_category

name: Inżynieria
slug: inzynieria
created_at: 2025-07-09 20:02:55.655843
description:
  Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum


# content_post

title: Post z renderem wzorów
status: published
created_at: 2025-05-20 19:33:49.386885
updated_at: 2025-08-11 11:07:03.933674
slug: post-z-renderem-wzorow
content:
  <p>Wzór poniżej reprezentuje esse</p><p></p><h2>Tabela renderowana w TipTapie</h2><p></p><table style="min-width: 25px;"><colgroup><col style="min-width: 25px;"></colgroup><tbody><tr><td colspan="1" rowspan="1"><p>[[wzor:01011]]</p><p></p></td></tr></tbody></table><table style="min-width: 100px;"><colgroup><col style="min-width: 25px;"><col style="min-width: 25px;"><col style="min-width: 25px;"><col style="min-width: 25px;"></colgroup><tbody><tr><th colspan="1" rowspan="1"><p></p></th><th colspan="1" rowspan="1"><p></p></th><th colspan="1" rowspan="1"><p></p></th><th colspan="1" rowspan="1"><p></p></th></tr><tr><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td></tr><tr><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td></tr><tr><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p></p></td></tr></tbody></table><p></p>


title: Tytuł Posta 2
status: published
created_at: 2025-06-15 12:29:36.233845
updated_at: 2025-07-19 15:46:43.350441
slug: tytu-posta-2
meta_description: dsadsadsa
meta_title: Tytuł Posta 2
meta_image: http://localhost:8000/media/uploads/2025/05/20/300px-Cat_Standing_in_the_Snow.jpg
content:
  <p># Tytuł *Kursywa Test.* **Pogrubienie Test** ~~Przekreślenie test~~ --- Test &gt; *dsadsadsadsadsadasdsa* | Header | Header | |--------|--------| | Cell | Cell | | Cell | Cell | | Cell | Cell | `<code>sadsadas dsadad sa asd `</code></p><table style="width: 309px;"><colgroup><col style="width: 93px;"><col style="width: 132px;"><col style="width: 84px;"></colgroup><tbody><tr><th colspan="1" rowspan="1" colwidth="93"><p></p></th><th colspan="1" rowspan="1" colwidth="132"><p></p></th><th colspan="1" rowspan="1" colwidth="84"><p></p></th></tr><tr><td colspan="1" rowspan="1" colwidth="93"><p></p></td><td colspan="1" rowspan="1" colwidth="132"><p></p></td><td colspan="1" rowspan="1" colwidth="84"><p></p></td></tr><tr><td colspan="1" rowspan="1" colwidth="93"><p></p></td><td colspan="1" rowspan="1" colwidth="132"><p></p></td><td colspan="1" rowspan="1" colwidth="84"><p></p></td></tr></tbody></table><p></p>


title: 12
status: published
created_at: 2025-07-16 20:39:21.213105
updated_at: 2025-07-26 15:38:44.585467
slug: 12
content:
  <table style="min-width: 75px;"><colgroup><col style="min-width: 25px;"><col style="min-width: 25px;"><col style="min-width: 25px;"></colgroup><tbody><tr><th colspan="1" rowspan="1"><p></p></th><th colspan="1" rowspan="1"><p></p></th><th colspan="1" rowspan="1"><p></p></th></tr><tr><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p style="text-align: center;">[[wzor:01011]]</p></td><td colspan="1" rowspan="1"><p style="text-align: center;"></p></td></tr><tr><td colspan="1" rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p style="text-align: center;">[[symbol:01011]]</p></td><td colspan="1" rowspan="1"><p style="text-align: left;">[[wzor:020101]]</p></td></tr></tbody></table><p></p><p></p>


title: Post przedstawiający E_k
status: published
created_at: 2025-07-26 12:13:19.712615
updated_at: 2025-08-08 13:02:05.559805
slug: post-przedstawiaj-cy-e-k
content:
  <p>To jest pokaz, że wszędzie gdzie wkleję ten wzór będzie on edytowany automatycznie:<br><br>[[wzor:020101]]</p><p>[[symbol:010301]]</p><img src="http://localhost:8000/media/uploads/2025/08/08/Zrzut_ekranu_2023-07-20_190552.png"><p></p>


