The phrase "study at trespass" refers to the act of examining and analyzing something with an unauthorized or unwelcome intrusion. There are several synonyms that can be used in place of this phrase, including "investigate without permission," "examine illicitly," or "probe covertly." Other phrases that convey the same message include "research clandestinely," "analyze surreptitiously," or "scrutinize furtively." These phrases are often used in contexts where individuals or organizations are hesitant or unwilling to share information, and those seeking to uncover the truth must do so covertly. Regardless of the phrasing used, the act of studying at trespass is an important tool for learning and discovery.