事實根據

factual basis

matter / thing / item / work / affair / CL:件[jian4],樁|桩[zhuang1],回[hui2]

fact / CL:個|个[ge4]

real / true / honest / really / solid / fruit / seed / definitely

real root (of a polynomial)

root / basis / classifier for long slender objects, e.g. cigarettes, guitar strings / CL:條|条[tiao2] / radical (chemistry)

according to / based on / basis / foundation / CL:個|个[ge4]

according to / to act in accordance with / to depend on / to seize / to occupy