Isnt me asking her out or to come over or go study with me, isnt that gonna tip her off that im interested and me chasing?
Dunno if you edited this post after or I didn't see it the first time, but this is worth addressing.
As been discussed many times in these forums, most girls are not going to approach you or ask you out. They will throw off IOIs, etc, but you will likely be the one to have to ask her to do something. Showing no interest will get you no where.
Asking her to study, on a date, etc, at the appropriate time, is NOT chasing.
I think I have an accurate definition of chasing for you that may help you in the future. Showing interest becomes "chasing" when you are no longer in control of the frame. No need to break this down analytically, you'll feel it.. every guy has felt it. When you feel like you're always the one initiating, when you feel like you need her more than she needs you yet still pursue, when you leave multiple phone messages, emails or texts to her - that she returns sporadically. Then you're chasing.
The major reason you shouldn't chase (vs. showing interest), is because true chasing becomes a DLV (demonstration of lower value) to the woman. Just like most guys will "feel" when they're doing the chasing, she will "feel" that you're chasing her-and probably on a subconscious level, she becomes less attracted to you. You're too available, you're not challenging or interesting, or you are nothing special.
What said above is pretty much fact. What I am about say next is a combination of my own personal opinions and some of the facts above.
At some level, ALL girls like to be chased a little because it supplicates their egos. The thing YOU need to remember is it doesnt usually translate into attraction, even if they make like it a little.
Now, we'll make the odd exception for the girl who has really low self esteem, and really has to know a guy is crazy about her before she will reciprocate interest. Without getting into psycho analysis, I will just say this is the exception rather than the rule, and not something you should focus on.
Regardless of what they tell you, too much chasing will usually result in a DLV, and result in her having less attraction for you. In my estimation, it is better to error on the side of caution and not to chase, because it results in a lot more work, has a low percentage of success, and usually means the girl just has a low IL. That IL can ocassionally be turned around, but chasing will usually just make it lower.
Hope that helps.