Let"MathematicalResourceScience"beanamalgamation，thus"GreyMathematical"and"GreyMathematicalResourceScience"connotestheirtwosubsets."MathematicalResource"connotesthemodel，algorithms，theo-rems，laws，conceptionspossessingvaluesofresourceinmathematic，physic，andgreytheory.Wecallresourceexistingmechanism，andresourcedistinctiontheresourcebiology（orbiologyforshort）.Wethussaybiologyisthemustforeveryresource.Accordingly，therearelifebiology，mathematicalbiology，societybiology，andinformationbiology，owingtothecardinalpurposeforre-sourcestudyingistoexploitingandutilizingresources.Thustheex-ploitingmathematicalresourceconnotestoexploititsexistingmecha-nismanddistinctions.