Here is a list of the 8 hard ways for 7* Mantis - Lee Kam Wing Lineage:
"Mountain Tai Falls On The Incense Burner" (Chopping Down Motions)
"Punching Straight To The Face" (Straight Forward Motions)
"Advancing Body With Double Palms" (Double Palm Motions)
"Sticking And Elbowing Hard" (Upward and Downward Elbow Breaking Motions)
"Sticking To The Door Leaning Hard" (Ramping Techniques)
"Strike Hard Above And Kick Below" (Illusive Techniques)
"Left and Right Hooking Attacks" (Confusing Techniques)
"Blocking Midline Attacks To The Side Then Chopping" (Midline Defensive
Motions)
I know that the Chuen Luen Lineage is slight different, but very close and if these methods are taken purely on principle, then they can be considered the same.
A few other things that you may want to know about the 8 Hard (Baat Kung) is that each set of techniques have certain attack points. The first of the 8 hard is commonly done with the Fan Cha (as 7* pointed out), which is commonly refered to as hammer fists in other styles. The Fan Cha aims for either the point in between the eyes, the jawbone below the eye, or the clavical (Note: these are the non-lethal attack points). You will never see a hard technique done to a generalized area (head, torso, leg, etc.). Also, during fighting it may be difficult to catagorize hard and soft techniques... The main difference between the two is intent. The intention in hard techniques is vastly different from soft and is the main divide between the two.
To elaborate a little more on what 7* said earlier in regards to the principles Jim (Jeem) and Lim. In our school, one of the most common combinations we show to beginners is Hook, Grab, Punch. These three techniques are simple to demonstrate and teach, but the principles that are invovled become much more difficult to visualize for most beginner students.
If you do not know, this combo consists of intercepting an incoming punch with a mantis hook, grabbing the intercepted arm to maintain contact, and striking with the hand that originally intercepted the attack.
This combination demonstrates Au (hook), Lau (grapple), Tsai (pluck/strike), Dil (intercept), Jim (Contact), and others depending on how the techniques are completed (and the principles invovled in the lineage). Yet only the first three are emphisized for the techniques since most students corellate a single action as a single principle.
Now I have begun to run off on a rant...
I'll check by here more often now that I see there are those seeking good discussion!
Phoenix