\\begin{aligned}
\n\\dot{x} & = \\sigma(y-x) \\\\
\n\\dot{y} & = \\rho x - y - xz \\\\
\n\\dot{z} & = -\\beta z + xy
\n\\end{aligned}<\/div><\/td><\/tr><\/tbody><\/table><\/div>\n
\u5916\u7a4d<\/strong><\/p>\n[latex]
\n\\mathbf{V}_1 \\times \\mathbf{V}_2 = \\begin{vmatrix}
\n\\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\
\n\\frac{\\partial X}{\\partial u} & \\frac{\\partial Y}{\\partial u} & 0 \\\\
\n\\frac{\\partial X}{\\partial v} & \\frac{\\partial Y}{\\partial v} & 0
\n\\end{vmatrix}
\n[\/latex]<\/p>\n
1 2 3 4 5 <\/div><\/td> \\mathbf{V}_1 \\times \\mathbf{V}_2 = \\begin{vmatrix} \n\\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\ \n\\frac{\\partial X}{\\partial u} & \\frac{\\partial Y}{\\partial u} & 0 \\\\ \n\\frac{\\partial X}{\\partial v} & \\frac{\\partial Y}{\\partial v} & 0 \n\\end{vmatrix}<\/div><\/td><\/tr><\/tbody><\/table><\/div>\n Ramanujan \u306e\u6052\u7b49\u5f0f\u306e\u3072\u3068\u3064<\/strong><\/p>\n[latex]
\n\\frac{1}{\\Bigl(\\sqrt{\\phi \\sqrt{5}}-\\phi\\Bigr) e^{\\frac25 \\pi}} =
\n1+\\frac{e^{-2\\pi}} {1+\\frac{e^{-4\\pi}} {1+\\frac{e^{-6\\pi}}
\n{1+\\frac{e^{-8\\pi}} {1+\\ldots} } } }
\n[\/latex]<\/p>\n 1 2 3 <\/div><\/td> \\frac{1}{\\Bigl(\\sqrt{\\phi \\sqrt{5}}-\\phi\\Bigr) e^{\\frac25 \\pi}} = \n1+\\frac{e^{-2\\pi}} {1+\\frac{e^{-4\\pi}} {1+\\frac{e^{-6\\pi}} \n{1+\\frac{e^{-8\\pi}} {1+\\ldots} } } }<\/div><\/td><\/tr><\/tbody><\/table><\/div>\n Maxwell \u65b9\u7a0b\u5f0f<\/strong><\/p>\n[latex]
\n\\begin{aligned}
\n\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\ \\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\
\n\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\
\n\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \\end{aligned}
\n[\/latex]<\/p>\n | |
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