extremity vs maximum

extremity

• An extreme measure. 

• The most extreme or furthest point of something. 

• A hand or foot. 

• A limb (“major appendage of a human or animal such as an arm, leg, or wing”). 

maximum

• The highest limit. 

• A scoring shot for 6 runs. 

• The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function. 

• A 147 break; the highest possible break. 

• A score of 180 with three darts. 

• An upper bound of a set which is also an element of that set. 

• The largest value of a batch or sample or the upper bound of a probability distribution. 

• To the highest degree.