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f(x)=sin(x)+cos(2x) argmin ||Ax-b||^2 y=Ax+b x_{t+1}=Ax_t+Bu_t P(x)~N(mu,sigma^2) A^T A R^(m x n) theta_{t+1}=theta_t-alpha grad J x'=x+v dt p(x|y) ~ exp(-E) y=H x + v

pi(a|s) Q(s,a) V(s)=E[sum gamma^t r_t] tau=J^T f omega=J^{-1} tau u=Kx A* cost = g + h J=phi(x_T)+int L dt u=argmin J

sum_{i=1}^n i = n(n+1)/2 lim_{x->0} sin(x)/x = 1 H(x)=-sum p log p E[x]=int x p(x) dx L=||y-f(x)||_2 grad J(theta) rank(A) tr(A) det(A) inv(A)

det(A) cov(x) sigma=sqrt(var) p(y|x) p(x) RRT* F=ma J=||Wx||_1 + ||y-Ax||_2^2 x_{k+1}=A x_k + B u_k z_k=H x_k + v_k

d/dt x = v SVD: A=U S V^T KKT ReLU(x)=max(0,x) PID=Kp e + Ki int e dt + Kd de/dt SE(3) / SO(3) J^T J z = x + i y omega x = v r=||x||_2

E=mc^2 int f(x) dx div F curl F Kalman: x_k=Ax_{k-1}+Bu_{k-1} FFT{f(t)} conv(x)*h corr(x,y) PSD(omega)

g(x)=0 h(x)<=0 lambda* y=H x + v x_{k+1}=A x_k + w_k dx/dt = f(x,u) qdot = f(q,u) tau = M(q) qddot + C + g

A* path u(t)=Kx(t) dx/dt = f(x,u) beta update FFT(x) cumsum(x) log p(x|y) MAP MLE argmax p(x|y) tanh sigmoid softmax layer norm r_k t+1

pi* argmin argmax gauss lambda epsilon beta eta zeta delta

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"I like learning new, wonderful things. I care about science, art, technology, and humans. It is wonderful to be a human."

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