- Fractal (for sure)
- Chaos theory
- Peano & Hilbert curve: damn, my love with Mathematics is mostly reborn when taking a look at this concepts. Intuitively and mathematically, a 1-dimensional curve can fill up a 2-dimensional space. The proposed solution is likely not one-to-one correspondence (mapping) between n-dimensional space and (n+1)-dimensional one. Really excited about it. It is stated that such space filling curve have non-integer dimension (or the number of dimension is between n and n+1).
- Mandelbrot is the first one defined the concept of non-integer dimension in his study, namely "Fractals and the Geometry of Nature".
- Expected value: the value you can expect for some kind of event.
- Variance: intuitively, it measures how far a data set is spread out. Technically, it is the average of the squared differences from the mean.
- Standard deviation: While variance gives you a rough idea of spread, the standard deviation is more concrete, giving you exact distances from the mean. The standard deviation tells you how tightly your data is clustered around the mean. In order to get the standard deviation, take the square root of the sample variance.
- Coefficient of variation: the ratio between standard deviation and mean, can be used to compare variability between different measures, especially useful to apply for measures but with various mechanisms.
Some definitions related to statistics are referred from this website.