maximum vs up there

maximum

• 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. 

• The highest limit. 

• 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. 

up there

• In a position of prominence or importance. 

• Used other than figuratively or idiomatically: see up, there.