LaText Support

LaTeX is a popular means by which to typeset complex mathematical formulae; it has been noted as one of the most sophisticated digital typographical systems in the world.


Linear regression algorithm try to estimate the following equation:

y¯=w0+w1x1+w2x2+...+wpxp\bar{y} = w_0 + w_1 x_1 + w_2 x_2 + ... + w_p x_p

Where w0w_0, w1w_1, ..., wpw_p values are estimated and y¯\bar{y} is predirect output, given data point x1x_1, x2x_2, ..., xpx_p

Mathematically, linear regression solve a problem of:

minwXwy22\min\limits_{w}||X_w - y||_2^2

More Example

f(x)=f^(ξ)e2πiξxdξf(x) = \int_{-\infty}^\infty \hat f(\xi)\,e^{2 \pi i \xi x} \,d\xi

1(ϕ5ϕ)e25π=1+e2π1+e4π1+e6π1+e8π1+\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} } } }