ɑː(ɹ)ˈtɪk.jʊ.leɪt ɑːɹˈtɪk.jə.leɪt kənˈtɹaɪv dɪˈvɛl.əp dɪˈvaɪz ˈɛksplɪˌkeɪt ɪnˈvɛnt fɹeɪz elaborate, as of theories and hypotheses Could you develop the ideas in your thesis put into words or an expression He formulated his concerns to the board of trustees come up with (an idea, plan, explanation, theory, or principle) after a mental effort excogitate a way to measure the speed of light prepare according to a formula