Influence

A flowing in or upon; influx.

Hence, in general, the bringing about of an effect, phusical or moral, by a gradual process; controlling power quietly exerted; agency, force, or tendency of any kind which the sun exerts on animal and vegetable life; the influence of education on the mind; the influence, according to astrologers,of the stars over affairs.

Power or authority arising from elevated station, excelence of character or intellect, wealth, etc.; reputation; acknowledged ascendency; as, he is a man of influence in the community.

Induction.

To control or move by power, physical or moral; to affect by gentle action; to exert an influence upon; to modify, bias, or sway; to move; to persuade; to induce.

causing something without any direct or apparent effort

a cognitive factor that tends to have an effect on what you do; "her wishes had a great influence on his thinking"

the effect of one thing (or person) on another; "the influence of mechanical action"

have and exert influence or effect; "The artist's work influenced the young painter"; "She worked on her friends to support the political candidate"

a power to affect persons or events especially power based on prestige etc; "used her parents' influence to get the job"