Sorry for making some mistakes because I published this in rush. You can see that I did make some stupid mistakes. X_X This is my first time to publish Quant JJ. I just want to publish this asap to help as many CDers as possible. Sorry for those stupid mistakes.
I think the word dimension should refer to length. I have done Math in English since primary school but I haven't heard that dimension means area or volume... Let's have an example: the dimensions of new iPhone are its height, width and length but not the volume or area. You can easily check this in Apple's website. I think Apple won't make a mistake like this for many years