Category Archives: Maths
The beauty of maths — metric spaces
I’m not a maths major. Yet I do feel the built-in elegance of mathematics while I’m learning Analysis this semester. I. Metric Space: Interpersonal Distance A metric space X must satisfy: (M1) d(x,y)>=0 and d(x,y)=0 iff x=y; (M2) (symmetry) d(x,y)=d(y,x); (M3) (triangle inequality) d(x,y)<=d(x,z)+d(z,y). The definition “d” here is like the distance between people. x, y, and …