Accordingly 不等於 As a result Abruptly 不等於 by chance / by accident Please look into the dictionary for their sample sentences.
Determination without adhere is airy. This is problematic because (i) "adhere" is a verb but you need a noun here; (ii) it doesn't make sense even if you change it to "adherence" - which usually only means "state of being sticky". A better alternative would be "perseverance".