The term "royal academy of science" can be substituted with numerous synonyms, depending on the specific context of its usage. For instance, it may be replaced by "scientific academy," which denotes an organization dedicated to scientific research and advancement. Alternately, the term "academy of sciences" can be used to emphasize the collective nature of the institution. Similarly, "scientific society" connotes a group of individuals working towards the same scientific goals. Another potential synonym is "scientific institute," which refers to an organization focused on carrying out scientific research or education. Ultimately, the appropriate synonym for "royal academy of science" will depend on the specific function and purpose of the institution in question.