influence

n. 1 (usu. Foll. By on) effect a person or thing has on another. 2 (usu. Foll. By over, with) moral ascendancy or power. 3 thing or person exercising this. v. (-cing) exert influence on; affect.  under the influence colloq. Drunk. [latin influo flow in]

n. A flowing in or upon; influx.