The avatar for @anthonytrandev
Anthony Tran
Published
Edited
Aug 7, 2018
8 stars
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QUADRATIC_FORMULA = tex`x = \dfrac{-b \ \pm \sqrt{b^2 - 4ac}}{2a}`
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CUBIC_FORMULA = tex`x = \sqrt[3]{ y + \sqrt {y^2 + \bigg( \dfrac{c}{3a} - \dfrac{b^2}{9a^2} \bigg)^3}}`
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AREA_CIRCLE = tex`A = \pi r^2`
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HEROS_FORMULA = tex`\sqrt{s(s - a)(s - b)(s - c)}`
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tex`\log_{b}x = y > b^y = x`
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tex`\dfrac{\sin^2\varTheta}{\cos^2\varTheta} \equiv \tan^2 \varTheta`
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tex`a + ar + ar^2 + ar^3 + \dots + ar^{n-1} = \displaystyle\sum_{k=0}^{n - 1}ar^k = a \bigg(\dfrac{1 - r^n}{1 -r}\bigg)`
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DIFFERENCE_QUOTIENT = tex`\lim\limits_{h \rightarrow 0} \dfrac{f(a + h) - f(a)}{h}`
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tex`x_1 \dfrac {\partial y}{\partial x_1} + x_2 \dfrac {\partial y}{\partial x_2} = y`
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tex.block`\Delta E^*_{00} = \sqrt{
\Big(\frac{\Delta L'}{k_LS_L}\Big)^2 +
\Big(\frac{\Delta C'}{k_CS_C}\Big)^2 +
\Big(\frac{\Delta H'}{k_HS_H}\Big)^2 +
R_T
\frac{\Delta C'}{k_CS_C}
\frac{\Delta H'}{k_HS_H}
}`
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