321 lines
13 KiB
Plaintext
321 lines
13 KiB
Plaintext
<div class="_markdown_404681">
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<p>
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#text "Einstein wrote "
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<span class="katex">
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<span class="katex-mathml">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<semantics>
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<mrow>
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<mi>
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#text "E"
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<mo>
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#text "="
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<mi>
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#text "m"
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<msup>
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<mi>
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#text "c"
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<mn>
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#text "2"
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<annotation encoding="application/x-tex">
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#text "E = mc^2"
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<span aria-hidden="true" class="katex-html">
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<span class="base">
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<span class="strut" style="height: 0.6833em;">
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<span class="mord mathnormal" style="margin-right: 0.0576em;">
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#text "E"
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="mrel">
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#text "="
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="base">
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<span class="strut" style="height: 0.8141em;">
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<span class="mord mathnormal">
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#text "m"
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<span class="mord">
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<span class="mord mathnormal">
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#text "c"
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<span class="msupsub">
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<span class="vlist-t">
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<span class="vlist-r">
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<span class="vlist" style="height: 0.8141em;">
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<span style="top: -3.063em; margin-right: 0.05em;">
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<span class="pstrut" style="height: 2.7em;">
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<span class="sizing reset-size6 size3 mtight">
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<span class="mord mtight">
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#text "2"
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#text " inline."
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<span class="katex-display">
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<span class="katex">
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<span class="katex-mathml">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<semantics>
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<mrow>
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<mfrac>
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<mrow>
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<mi mathvariant="normal">
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#text "∂"
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<mi mathvariant="bold">
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#text "u"
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<mrow>
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<mi mathvariant="normal">
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#text "∂"
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<mi>
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#text "t"
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<mo>
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#text "+"
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<mo stretchy="false">
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#text "("
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<mi mathvariant="bold">
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#text "u"
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<mo>
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#text "⋅"
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<mi mathvariant="normal">
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#text "∇"
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<mo stretchy="false">
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#text ")"
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<mi mathvariant="bold">
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#text "u"
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<mo>
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#text "="
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<mo>
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#text "−"
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<mfrac>
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<mn>
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#text "1"
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<mi>
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#text "ρ"
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<mi mathvariant="normal">
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#text "∇"
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<mi>
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#text "p"
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<annotation encoding="application/x-tex">
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#text "\\frac{\\partial \\mathbf{u}}{\\partial t} + (\\mathbf{u} \\cdot \\nabla)\\mathbf{u} = -\\frac{1}{\\rho}\\nabla p"
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<span aria-hidden="true" class="katex-html">
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<span class="base">
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<span class="strut" style="height: 2.0574em; vertical-align: -0.686em;">
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<span class="mord">
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<span class="mopen nulldelimiter">
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<span class="mfrac">
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<span class="vlist-t vlist-t2">
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<span class="vlist-r">
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<span class="vlist" style="height: 1.3714em;">
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<span style="top: -2.314em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord" style="margin-right: 0.0556em;">
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#text "∂"
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<span class="mord mathnormal">
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#text "t"
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<span style="top: -3.23em;">
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<span class="pstrut" style="height: 3em;">
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<span class="frac-line" style="border-bottom-width: 0.04em;">
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<span style="top: -3.677em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord" style="margin-right: 0.0556em;">
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#text "∂"
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<span class="mord mathbf">
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#text "u"
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<span class="vlist-s">
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#text ""
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<span class="vlist-r">
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<span class="vlist" style="height: 0.686em;">
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<span>
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<span class="mclose nulldelimiter">
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<span class="mspace" style="margin-right: 0.2222em;">
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<span class="mbin">
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#text "+"
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<span class="mspace" style="margin-right: 0.2222em;">
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<span class="base">
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<span class="strut" style="height: 1em; vertical-align: -0.25em;">
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<span class="mopen">
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#text "("
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<span class="mord mathbf">
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#text "u"
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<span class="mspace" style="margin-right: 0.2222em;">
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<span class="mbin">
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#text "⋅"
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<span class="mspace" style="margin-right: 0.2222em;">
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<span class="base">
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<span class="strut" style="height: 1em; vertical-align: -0.25em;">
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<span class="mord">
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#text "∇"
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<span class="mclose">
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#text ")"
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<span class="mord mathbf">
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#text "u"
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="mrel">
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#text "="
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="base">
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<span class="strut" style="height: 2.2019em; vertical-align: -0.8804em;">
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<span class="mord">
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#text "−"
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<span class="mord">
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<span class="mopen nulldelimiter">
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<span class="mfrac">
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<span class="vlist-t vlist-t2">
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<span class="vlist-r">
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<span class="vlist" style="height: 1.3214em;">
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<span style="top: -2.314em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord mathnormal">
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#text "ρ"
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<span style="top: -3.23em;">
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<span class="pstrut" style="height: 3em;">
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<span class="frac-line" style="border-bottom-width: 0.04em;">
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<span style="top: -3.677em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord">
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#text "1"
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<span class="vlist-s">
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#text ""
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<span class="vlist-r">
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<span class="vlist" style="height: 0.8804em;">
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<span>
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<span class="mclose nulldelimiter">
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<span class="mord">
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#text "∇"
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<span class="mord mathnormal">
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#text "p"
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<p>
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#text "Backslash inline "
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<span class="katex">
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<span class="katex-mathml">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<semantics>
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<mrow>
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<mfrac>
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<mn>
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#text "1"
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<mn>
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#text "5"
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<annotation encoding="application/x-tex">
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#text "\\frac{1}{5}"
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<span aria-hidden="true" class="katex-html">
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<span class="base">
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<span class="strut" style="height: 1.1901em; vertical-align: -0.345em;">
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<span class="mord">
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<span class="mopen nulldelimiter">
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<span class="mfrac">
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<span class="vlist-t vlist-t2">
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<span class="vlist-r">
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<span class="vlist" style="height: 0.8451em;">
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<span style="top: -2.655em;">
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<span class="pstrut" style="height: 3em;">
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<span class="sizing reset-size6 size3 mtight">
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<span class="mord mtight">
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<span class="mord mtight">
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#text "5"
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<span style="top: -3.23em;">
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<span class="pstrut" style="height: 3em;">
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<span class="frac-line" style="border-bottom-width: 0.04em;">
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<span style="top: -3.394em;">
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<span class="pstrut" style="height: 3em;">
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<span class="sizing reset-size6 size3 mtight">
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<span class="mord mtight">
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<span class="mord mtight">
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#text "1"
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<span class="vlist-s">
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#text ""
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<span class="vlist-r">
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<span class="vlist" style="height: 0.345em;">
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<span>
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<span class="mclose nulldelimiter">
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#text " and display:"
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<span class="katex-display">
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<span class="katex">
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<span class="katex-mathml">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<semantics>
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<mrow>
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<mfrac>
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<mi>
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#text "π"
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<mn>
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#text "4"
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<mo>
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#text "<"
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<mi>
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#text "θ"
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<mo>
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#text "<"
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<mfrac>
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<mi>
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#text "π"
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<mn>
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#text "2"
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<annotation encoding="application/x-tex">
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#text "\\frac{\\pi}{4} < \\theta < \\frac{\\pi}{2}"
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<span aria-hidden="true" class="katex-html">
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<span class="base">
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<span class="strut" style="height: 1.7936em; vertical-align: -0.686em;">
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<span class="mord">
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<span class="mopen nulldelimiter">
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<span class="mfrac">
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<span class="vlist-t vlist-t2">
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<span class="vlist-r">
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<span class="vlist" style="height: 1.1076em;">
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<span style="top: -2.314em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord">
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#text "4"
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<span style="top: -3.23em;">
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<span class="pstrut" style="height: 3em;">
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<span class="frac-line" style="border-bottom-width: 0.04em;">
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<span style="top: -3.677em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord mathnormal" style="margin-right: 0.0359em;">
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#text "π"
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<span class="vlist-s">
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#text ""
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<span class="vlist-r">
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<span class="vlist" style="height: 0.686em;">
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<span>
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<span class="mclose nulldelimiter">
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="mrel">
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#text "<"
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="base">
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<span class="strut" style="height: 0.7335em; vertical-align: -0.0391em;">
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<span class="mord mathnormal" style="margin-right: 0.0278em;">
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#text "θ"
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="mrel">
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#text "<"
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<span class="mspace" style="margin-right: 0.2778em;">
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<span class="base">
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<span class="strut" style="height: 1.7936em; vertical-align: -0.686em;">
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<span class="mord">
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<span class="mopen nulldelimiter">
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<span class="mfrac">
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<span class="vlist-t vlist-t2">
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<span class="vlist-r">
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<span class="vlist" style="height: 1.1076em;">
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<span style="top: -2.314em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord">
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#text "2"
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<span style="top: -3.23em;">
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<span class="pstrut" style="height: 3em;">
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<span class="frac-line" style="border-bottom-width: 0.04em;">
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<span style="top: -3.677em;">
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<span class="pstrut" style="height: 3em;">
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<span class="mord">
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<span class="mord mathnormal" style="margin-right: 0.0359em;">
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#text "π"
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<span class="vlist-s">
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#text ""
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<span class="vlist-r">
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<span class="vlist" style="height: 0.686em;">
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<span>
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<span class="mclose nulldelimiter">
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