This week, I've been working on writing prospectus for my PhD oral exam while working on math for my work. For math, currently, since I want to make my motion planner deal with non-gaussian chance-constraints, I am trying to represent the non-gaussian distribution as the sum of gaussian distribution. This makes me deal with non-gaussian distribution while I can employ good mathmatical feastures of each gaussian distribution. For writing prospectus, I've writing the summary of my next research plan. In particular I use "the element of writing" as the reference of writing.