EntityQ939927· pop 19· linked from 63 articlesStone–Weierstrass theoremSign in to savetheorem that every continuous function on a compact Hausdorff space can be approximated by certain families of continuous functionsConnectionsalgebra over a fieldEntityMarshall Harvey StoneEntityGermanEntityInternational Standard Book NumberEntitymathematical analysisEntityrational numberEntitydigital object identifierEntityInternational Standard Serial NumberEntitypolynomialEntityKarl WeierstraßEntityabsolute valueEntityOCLC, Inc.EntityFourier seriesEntityintervalEntitycontinuous functionEntityJSTOROrganizationQ118398EntitycardinalityEntitycomplex conjugateEntityif and only ifEntityCategories1885 in science1937 in science19th century in mathematics20th century in mathematicsTheorems in approximation theoryTheorems in mathematical analysisTheory of continuous functions