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Add changes for 5f91d2e
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actions-user committed Nov 28, 2023
1 parent ebcbcdf commit 53a15fb
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Binary file modified .doctrees/assets/index.doctree
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4 changes: 2 additions & 2 deletions assets/index.html
Original file line number Diff line number Diff line change
Expand Up @@ -538,13 +538,13 @@ <h3>Podprzestrzenie liniowe<a class="headerlink" href="#podprzestrzenie-liniowe"
<div class="math notranslate nohighlight">
\[\begin{split}
V = (\mathbb{R}^3, +, K, *) \\
U = \left{(x + 1, y + x, z) : x, y, z \in \mathbb{R} \right} \\
U = \left\{(x + 1, y + x, z) : x, y, z \in \mathbb{R} \right\} \\
\\
x_1 + 1 + x_2 + 1 = (x_1 + x_2) + 2 \neq (x_1 + x_2) + 1
\\
\\
V = (\mathbb{R}^3, +, K, *) \\
U = \left{(2x, y + x, z) : x, y, z \in \mathbb{R} \right} \\
U = \left\{(2x, y + x, z) : x, y, z \in \mathbb{R} \right\} \\
\\
2x_1 + 2x_2 = 2(x_1 + x_2) \\
\alpha 2 x_1 + \alpha 2 x_2 = \alpha 2 (x_1 + x_2)
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4 changes: 2 additions & 2 deletions assets/notes/algebra/algebra_2023.11.07.html
Original file line number Diff line number Diff line change
Expand Up @@ -114,13 +114,13 @@ <h2>Podprzestrzenie liniowe<a class="headerlink" href="#podprzestrzenie-liniowe"
<div class="math notranslate nohighlight">
\[\begin{split}
V = (\mathbb{R}^3, +, K, *) \\
U = \left{(x + 1, y + x, z) : x, y, z \in \mathbb{R} \right} \\
U = \left\{(x + 1, y + x, z) : x, y, z \in \mathbb{R} \right\} \\
\\
x_1 + 1 + x_2 + 1 = (x_1 + x_2) + 2 \neq (x_1 + x_2) + 1
\\
\\
V = (\mathbb{R}^3, +, K, *) \\
U = \left{(2x, y + x, z) : x, y, z \in \mathbb{R} \right} \\
U = \left\{(2x, y + x, z) : x, y, z \in \mathbb{R} \right\} \\
\\
2x_1 + 2x_2 = 2(x_1 + x_2) \\
\alpha 2 x_1 + \alpha 2 x_2 = \alpha 2 (x_1 + x_2)
Expand Down

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