Math Block for Markdown [For Typora]

Posted ZJun310

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Math Block for Markdown

Code:[Inline Math Formula]

This formula $f(x)=x_1^2+x_2^2$is an inline formula

preview:

This formula f(x)=x21+x22 is an inline formula


Code:[Fraction]

$$
f(x) = x^2+\\dfrac1x
$$

preview:

f(x)=x2+1x


Code:[Set]

$$
D = \\(x_1,y_1),(x_2,y_2),…,(x_n,y_n)\\
$$

preview:

D=(x1,y1),(x2,y2),,(xn,yn)


Code:[Sum]

$$
 (w^*,b^*)= arg  \\ min_\\left( w,b\\right) \\sum^n_i=1\\left(y_i-wx_i - b\\right)^2
$$

preview:

(w,b)=arg min(w,b)i=1n(yiwxib)2


Code:[Matrix]

$$
X = \\beginbmatrix
x_11&x_12&\\cdots&x_1d&1\\\\
x_21&x_22&\\cdots&x_2d&1\\\\
\\vdots&\\vdots&\\ddots&\\vdots&\\vdots\\\\
x_n1&x_n2&\\cdots&x_nd&1\\\\
\\endbmatrix
$$

preview:

X=x11x21xn1x12x22xn2x1dx2dxnd111


Code:[Piecewise functions]

$$
y = 
\\begincases
0, &z<0\\cr
0.5, &z=0\\cr
1, &z>0\\cr
\\endcases
$$

preview:

y=0,0.5,1,z<0z=0z>0


Code:[Hat]

$$
Var[\\hatf(x)] = E[\\hatf(x)-E[\\hatf(x)]^2]
$$

preview:

Var[f̂ (x)]=E[f̂ (x)E[f̂ (x)]2]


Code:[Set Belonging]

$$
\\rho = \\dfrac\\sum_x \\in \\hatDw_x\\sum_x \\in Dw_x
$$

preview:

ρ=xD̂ wxmarkdown static,block,java,syntax

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