Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

Tagalog sentence: 6 Hayaan ang aritmetika-ibig sabihin ng lahat ng mga elemento ng set, Namely . Magpakilala namin "balanseng subset" ng, Kung ay isang non-laman subset ng at . Hayaan set .
6 Let be the arithmetic-means of all elements of set, namely . We denote "balanced subset" of, if is a non-empty subset of and . Let set .