How to write: "not how" or "no way"?

On hearing "not how" and "in any way" they sound the same, and if you do not know the right rule, choosing the right variant on the letter is not easy. How correctly it is written: "not how" or "in any way"?

In fact, "not how" and "in any way" carry outdifferent functions. "Not as" is written separately, it is a combination of a particle "not" and an "as" union. This turn is used when it is required to emphasize the difference of something, for example: "Do it your way, not like everyone else." Or: "Perceive it not as a defect, but as your own peculiarity."

The word "in no way" is a negative adverb andhas a different meaning. "No one" is written together and most often means "in no way, no means, never, never". For example: "You can not learn to write competently, if you do not remember the rules and read books." Or: "It's impossible to know what dinosaurs thought".

Another way of using "in no way" is expressionneutral attitude or indifference. For example: "How do you feel about Petya? - No way. I do not know him". Finally, the third way of using "in no way" is an expression of conjecture and uncertainty. For example: