The noun influence has 5 senses (first 4 from tagged texts)
1. (27) influence -- (a power to affect persons or events especially power based on prestige etc; "used her parents' influence to get the job")
2. (10) influence -- (causing something without any direct or apparent effort)
3. (9) influence -- (a cognitive factor that tends to have an effect on what you do; "her wishes had a great influence on his thinking")
4. (5) influence -- (the effect of one thing (or person) on another; "the influence of mechanical action")
5. influence -- (one having power to influence another; "she was the most important influence in my life"; "he was a bad influence on the children")
Overview of verb influence
The verb influence has 3 senses (first 2 from tagged texts)
1. (20) influence, act upon, work -- (have and exert influence or effect; "The artist's work influenced the young painter"; "She worked on her friends to support the political candidate")
2. (9) determine, shape, mold, influence, regulate -- (shape or influence; give direction to; "experience often determines ability"; "mold public opinion")
3. charm, influence, tempt -- (induce into action by using one's charm; "She charmed him into giving her all his money")