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Math Equations
 
 

Block Equations

[xn+yn=zn][ x^n + y^n = z^n ]
 
1(ฯ•5โˆ’ฯ•)e25ฯ€=1+eโˆ’2ฯ€1+eโˆ’4ฯ€1+eโˆ’6ฯ€1+eโˆ’8ฯ€1+โ‹ฏ(ฯ•5โ€‹โ€‹โˆ’ฯ•)e52โ€‹ฯ€1โ€‹=1+1+1+1+1+โ‹ฏeโˆ’8ฯ€โ€‹eโˆ’6ฯ€โ€‹eโˆ’4ฯ€โ€‹eโˆ’2ฯ€โ€‹\displaystyle \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }(ฯ•5โ€‹โ€‹โˆ’ฯ•)e52โ€‹ฯ€1โ€‹=1+1+1+1+1+โ‹ฏeโˆ’8ฯ€โ€‹eโˆ’6ฯ€โ€‹eโˆ’4ฯ€โ€‹eโˆ’2ฯ€โ€‹
 
(โˆ‘k=1nakbk)2โ‰ค(โˆ‘k=1nak2)(โˆ‘k=1nbk2)(k=1โˆ‘nโ€‹akโ€‹bkโ€‹)2โ‰ค(k=1โˆ‘nโ€‹ak2โ€‹)(k=1โˆ‘nโ€‹bk2โ€‹)\displaystyle \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)(k=1โˆ‘nโ€‹akโ€‹bkโ€‹)2โ‰ค(k=1โˆ‘nโ€‹ak2โ€‹)(k=1โˆ‘nโ€‹bk2โ€‹)
 
1+q2(1โˆ’q)+q6(1โˆ’q)(1โˆ’q2)+โ‹ฏ=โˆj=0โˆž1(1โˆ’q5j+2)(1โˆ’q5j+3),for โˆฃqโˆฃ<1.1+(1โˆ’q)q2โ€‹+(1โˆ’q)(1โˆ’q2)q6โ€‹+โ‹ฏ=j=0โˆโˆžโ€‹(1โˆ’q5j+2)(1โˆ’q5j+3)1โ€‹,for โˆฃqโˆฃ<1.\displaystyle {1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots }= \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1.1+(1โˆ’q)q2โ€‹+(1โˆ’q)(1โˆ’q2)q6โ€‹+โ‹ฏ=j=0โˆโˆžโ€‹(1โˆ’q5j+2)(1โˆ’q5j+3)1โ€‹,for โˆฃqโˆฃ<1.
 
 

Inline Equations

This is an example of an inline equation: y=mx+by = mx + b

 

500ms+80ms+500ms=1080ms=1.08seconds500ms + 80ms + 500ms = 1080ms = 1.08 seconds

 

You can also add formatting:

x=โˆ’bยฑb2โˆ’4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}