Where were these words mixed up?
Bunny hopping, or bunny jumping, is a term used in video games to describe the basic movement technique in which a player jumps repeatedly, instead of running, in order to move faster.
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Strafe-jumping requires a very specific combination of mouse and keyboard input. The exact technique involved depends on the game itself; however, most games follow a certain pattern of user actions. The movements are usually as follows:
The player presses the forward key, preparing to make the first jump.
Still keeping the forward key pressed, the player jumps, adding either the move left or the move right key (ergo the strafe in the term, strafe-jumping). The strafe and jump keys must be pressed at the same time.
To gain maximum speed, the player must now move the mouse smoothly to around a 45 degree (i.e., turn) in the direction of the strafe, while still holding down the two aforementioned keys. This part is called airstrafing, which is responsible for increase in speed during the jump.
For successive strafejumps, the player immediately jumps again on landing, swapping the direction of strafe as well as mouse motion.
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If you would bother to try either of these in BRINK both with the cvars at default values and then with the cvars set with the stated changes you should notice the behavior of both bunnyhopping and strafejumping are quite different in BRINK.