Wave-Dashing (WD) : Hit jump+ L or R + Down Diagonally . What this means: you jump a fraction into the air and then dodge diagonally into the ground.
Purpose: It is like a roll except you can execute moves and you are less vulnerable.
Short-Hopping (SH) : X or Y (lightly).
What this means: Hit X or Y lightly, it sounds easy, but it's not.
Purpose: You do a shorter than normal jump. Good for doing Aerial moves close to the ground and quickly.
Crouch-Cancelling (CC) : Press down.
What this means: You simply press down on the control stick.
Purpose: It causes your character to crouch, while crouching you take less knockback.
Fast-Falling (FF): Press down while in the air.
What this means: Another simple one, press down on the control stick while in the air.
Purpose: You accelerate downwards, this is good if you dont want to get caught in somebodies aerial moves or if you want to get to the ground so you can jump again.
Power-Sheilding (PS) : Lightly hit L or R.
What this means: Very similar to Short-hopping, you must hit the L or R button very quickly so that it only slightly depresses.
Purpose: A larger and lighter shield will pop up and move outward slightly. This shield will only last a short period of time but it will reflect projectiles and thrown items.
L-Cancelling (LC) : Hit L or R when your character hits the ground after performing a low flying aerial attack.
What this means: if you attack in the air you may hit L or R the very instant your character hits the ground to recover faster.
Purpose: Instead of actually smacking into the ground and having to wait before you can stand up, your character will stand up much faster.
Tech-Rolling (TR): Very similar to L-Cancelling, infact I had the two semi confused. Hit L or R when you hit the ground after being hit.
What this means: If you get spiked into the ground, or otherwise hit, you will smack into the floor and bounce. If you push L or R while hitting the ground, you will do an acrobatic flip and land standing up.
Purpose: Instead of smacking, you flip, recovering much faster.
Wall-Cancelling (WC) AKA Teching: Hit L upon contact with a wall.
What this means: When you are flung into a wall, from a smash or a throw, press L right as you make contact. It is like L-Cancelling on walls.
Purpose: After Teching you may jump off the wall, very much like a wall jump but better.
Jump-Cancelling (JC): Execute an attack after jumping.
What this means: You hit the jump button and right before your character gets in the air, you use an aerial move or a grab.
Purpose: If you are running you can do a Jump-Cancel and then grab so that you do a standing grab instead of a running grab or you can execute aerial moves very close to the ground.
Double-Jump-Cancel (DJC): Jump twice quickly and then execute a move.
What this means: Exactly the same as Jump-Cancelling except some characters can't Jump-Cancel their first jumps well.
Purpose: So that Ness and Mewtwo can Jump-Cancel.
Dash-Dancing (DD): Press left, right, left, right on the control stick.
What this means: When a character starts to dash a animation begins that shows the character going from standing to running. This part of the dash is very fast. To Dash-Dance you hit over, let the character do this animation and then change directions. The character will stay in one place but start dashing in alternating directions.
Purpose: The point of Dash-Dancing is to suprise your opponent, it is really a mindgame technique. When you are Dash-Dancing they don't know which way you are going to jump or run. It also makes jumping or running at a moments notice very easy. A good defensive and offensive technique.
Dash-Dashing (DD>): Press right, right, right, right, on the control stick
What this means: Once again use that starting dash animation to accelerate your game. Instead of hitting alternating directions continue going in one direction but never attain a full run. Just keep making your character repeat the same dash animation over and over.
Purpose: I am not sure.
Permi-Frost Glitch (PFG): As Ice Climbers - Roll to the right right past your opponent while holding Z let Nana grab the opponent and then press over B.
What this means: Be Ice climbers (obviously). preferably go to a flat stage (just for practice). I would recommend Final Destination. now stand to the left of your oponent. How far to the left? You need to stand so far to the left so that if you were to roll right you would be in grabbing range of your oponent. So your on the stage standing to the left of your oponent as specified above. Next, roll Right. While in the rolling motion, press and hold "Z" so that right when you stop rolling Nana (pink) will grab the oponent. Let me quickly recap (for non-ambiguity)...Your standing to the left, you roll right, while in the rolling motion you press and hold "Z". Right after Nana grabs the oponent let go of everything and press B+left, so that Popo (blue) does that mallet spinning maneuvar (sorry don't know what its called). The oponent should now be frozen. You can rack up damage and whatnot, and to unfreeze the oponent stand to the left again, roll right while holding Z so that nana throws the oponent, and the oponent is now unfrozen. Be sure, however, while the oponent is frozen to NOT shoot Ice shots at the oponent. This will cause the oponent to freeze completely (Ice glacier around him) and you won't be able to unfreeze him. Basically you'll just have to quit the match then.
Purpose: Freeze your opponent so you can deal rediculous amounts of damage and then kill them. Pretty much a KO.
Shine (S?): With Fox or Falco, hit down B.
What this means: Use their reflector.
Purpose: Reflecting things or zapping opponents.
(The word Shine is the Japanese word for reflector, not really an advanced technique but people get confused by this all the time . It is important if you want to learn how to Shine-Cancel or do infinite Shine combos, I will add those later.)