[latex]\\begin{equation}\\label{eq1}r = r_F+ \\beta (r_M – r_F) + \\epsilon\\end{equation}[\/latex]
\n[latex]
\n\\begin{aligned}
\n\\color{red}{\\dot{x}} & =\\color{blue}{ \\sigma(y-x)} \\\\
\n\\dot{y} & = \\rho x – y – xz \\\\
\n\\dot{z} & = -\\beta z + xy
\n\\end{aligned}
\n[\/latex]
\n[latex]
\nx^2+y_1+z_{12}^{34} \\\\
\n\\sin^{-1} (x) \\\\
\n\\lim\\limits_{h->0} \\frac{f(x+h)-f(x)}{h} \\\\
\n\\lim\\nolimits_{h\\to 0} \\frac{f(x+h)-f(x)}{h} \\\\
\nf(x)=\\sum\\limits_{n=0}^{\\infty} \\frac{f^{(n)}(a)}{n!}(x-a)^n \\\\
\n\\int_0^1 f(x)dx \\\\
\n\\left[
\n\\begin{array} {lcr}
\n1 & 2 & 3 \\\\
\n4 & 5 & 6 \\\\
\n7 & 8 & 9
\n\\end{array}
\n\\right]
\n\\\\
\n\\left[
\n\\begin{array}{lcr}
\na & b \\\\
\nc & d
\n\\end{array}
\n\\right] \\left(
\n\\begin{array}{lcr}
\nn \\\\
\nk
\n\\end{array}
\n\\right)
\n[\/latex]
\n[latex]
\n\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)
\n\\\\
\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\\\\
\nP(E) = {n \\choose k} p^k (1-p)^{ n-k}
\n\\\\
\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\\\\
\n1 + \\frac{q^2}{(1-q)}+\\frac{q^6}{(1-q)(1-q^2)}+\\cdots =
\n\\prod_{j=0}^{\\infty}\\frac{1}{(1-q^{5j+2})(1-q^{5j+3})},
\n\\quad\\quad \\text{for $|q|<1$}.\n\\\\\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>","protected":false},"excerpt":{"rendered":"
[latex]\\begin{equation}\\label{eq1}r = r_F+ \\beta (r_M – r_F) + \\epsilon\\end{equation}[\/latex] [latex] \\begin{aligned} \\color{red}{\\dot{x}} & =\\color{blue}{ \\sigma(y-x)} \\\\ \\dot{y} & = \\rho x – y – xz \\\\ \\dot{z} & = -\\beta z + xy \\end{aligned} [\/latex] [latex] x^2+y_1+z_{12}^{34} \\\\ \\sin^{-1} (x) … Continue reading