{"id":3961,"date":"2015-11-09T23:00:00","date_gmt":"2015-11-09T14:00:00","guid":{"rendered":"http:\/\/www.nanghi.net\/?p=3961"},"modified":"2022-07-14T16:16:35","modified_gmt":"2022-07-14T07:16:35","slug":"post_3139","status":"publish","type":"post","link":"https:\/\/www.nanghi.net\/?p=3961","title":{"rendered":"Mathjax\u5c0e\u5165"},"content":{"rendered":"

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\u4f8b\u3048\u3070LC\u5171\u632f\u306e\u5468\u6ce2\u6570\u306e\u5f0f\u306f<\/p>\n

\\[\r\nf_0 = \\frac{\\omega}{2 \\pi} = \\frac{1}{2 \\pi \\sqrt{ LC }}\r\n\\]<\/pre>\n
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\n\\[ f_0 = \\frac{\\omega}{2 \\pi} = \\frac{1}{2 \\pi \\sqrt{ LC }} \\]
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\n\\[ i\\hbar=\\frac{\\partial}{\\partial t}\\mid\\psi(t)\\rangle=\\hat{H}\\mid\\psi(t)\\rangle \\]
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\n\\[
\n\\int_{a}^{b}x^{3}dx=\\frac{b^{4}-a^{4}}{4} \\\\
\n{\\bf E}=\\frac{1}{4\\pi\\epsilon_0}\\iiint\\begin{align}\\frac{{\\bf r}-{\\bf r’}\\ }{\\|{\\bf r}-{\\bf r’}\\|^3}\\end{align}\\rho({\\bf r’})d^3{\\bf r’}
\n\\]
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\n\\[
\nf(x)=a_0+\\sum^\\infty_{n=1}\\left(a_n\\cos\\frac{n\\pi x}{L}+b_n\\sin\\frac{n\\pi x}{L}\\right)\\\\
\nf(x)=\\sum^\\infty_{n=0}\\frac{f^{(n)}(0)}{n!}x^n=f(0)+\\frac{f'(0)}{1!}x+\\frac{f”(0)}{2!}x^2+\\cdots+\\frac{f^{n-1}(0)}{(n-1)!}x^{n-1}+\\cdots
\n\\]
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\n\\[
\n\\int{\\cal D}q=\\lim_{N \\to \\infty}\\frac{1}{C}\\prod^{N-1}_{j=1}\\int dq_j\\\\
\n\\cos\\ \\pi\\ {\\cal z}=\\prod_{n=1}^\\infty \\left\\{1-\\frac{{\\cal z}^2}{\\left(n-\\frac{1}{2}\\right)^2}\\right\\}
\n\\]
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\n\\[
\n\\begin{eqnarray}
\ng_{\\mu\\nu}\\ \\rightarrow\\ {\\rm flat} =\\left[
\n\\begin{array}{ccc}
\n1 & 0 & \\cdots & 0 \\\\
\n0 & 1 & 0 & 0 \\\\
\n\\vdots & 0 & 1 & \\vdots \\\\
\n0 & \\cdots & 0 & -1 \\\\
\n\\end{array}
\n\\right] \\\\
\na_{ij}=\\left(
\n\\array {
\na_{00}& a_{01}& \\cdots& a_{0j} \\\\
\na_{10}& a_{11}& \\cdots& a_{1j} \\\\
\n\\vdots& \\vdots& \\ddots& \\vdots \\\\
\na_{i0}& a_{i1}& \\cdots& a_{ij} }
\n\\right)
\n\\end{eqnarray}
\n\\]
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