Strong ordering is a concept used in mathematical theories and algorithms that involve putting elements in a certain sequence. However, there are several other terms that can be used as synonyms for this term. For instance, complete ordering, linear ordering, total ordering, and strict total ordering are all synonyms for strong ordering. Complete ordering refers to ordering in which every two distinct elements have a defined order. Linear ordering pertains to the order of elements along a line. Total ordering generally indicates a scenario in which all elements can be compared to each other to arrive at a definitive order. While strict total ordering refers to a condition where the order is strict and does not allow two elements to be equal.