ML

Max Likehood Estimate(MLE)

Monday, June 16, 2025

Maximal Likehood Estimate (MLE) Here we change to another topic, the probability field. We know a lot of prob. distributions, like gassuan, possion, etc.. Now the setting is: you got plenty data samples, and you tell me what is the dist. of these samples thus I can use the dist. to predict other unknow samples. So, now you have the data set: $$ D = [ x_1, x_2, x_3, \dots, x_N ]$$…

Periodic Solids

Monday, June 16, 2025

Structures of crystals A crystal is an ordered state of matter in which the positions of the nuclei (and consequently all properties) are repeated periodically in space. Crystal structure = Bravais lattice + basis