- Fourier's theorem
- noun Date: 1834 a theorem in mathematics: under suitable conditions any periodic function can be represented by a Fourier series

*New Collegiate Dictionary.
2001.*

- Fourier's theorem
- noun Date: 1834 a theorem in mathematics: under suitable conditions any periodic function can be represented by a Fourier series

*New Collegiate Dictionary.
2001.*

**fourier's theorem**— ē|āz noun Usage: usually capitalized F Etymology: after Jean Baptiste Joseph Fourier died 1830 : a theorem in mathematics: any periodic function may be resolved into sine and cosine terms involving known constants … Useful english dictionary**Parseval's theorem**— In mathematics, Parseval s theorem [Parseval des Chênes, Marc Antoine Mémoire sur les séries et sur l intégration complète d une équation aux differences partielle linéaire du second ordre, à coefficiens constans presented before the Académie des … Wikipedia**Bochner's theorem**— In mathematics, Bochner s theorem characterizes the Fourier transform of a positive finite Borel measure on the real line. Background Given a positive finite Borel measure μ on the real line R, the Fourier transform Q of μ is the continuous… … Wikipedia**Sturm's theorem**— In mathematics, Sturm s theorem is a symbolic procedure to determine the number of distinct real roots of a polynomial. It was named for Jacques Charles François Sturm, though it had actually been discovered by Jean Baptiste Fourier; Fourier s… … Wikipedia**Fejér's theorem**— In mathematics, Fejér s theorem, named for Hungarian mathematician Lipót Fejér, states that if f :R rarr; C is a continuous function with period 2 pi;, then the sequence ( sigma; n ) of Cesàro means of the sequence ( s n ) of partial sums of the… … Wikipedia**Szemerédi's theorem**— In number theory Szemerédi s theorem refers to the proof of the Erdős–Turán conjecture. In 1936 Erdős and Turan conjecturedcitation|authorlink1=Paul Erdős|first1=Paul|last1=Erdős|authorlink2=Paul Turán|first2=Paul|last2=Turán|title=On some… … Wikipedia**Bertrand's theorem**— In classical mechanics, Bertrand s theorem [cite journal | author = Bertrand J | year = 1873 | title = Théorème relatif au mouvement d un point attiré vers un centre fixe.| journal = C. R. Acad. Sci.| volume = 77 | pages = 849 ndash;853] states… … Wikipedia**Fuchs's theorem**— Given a second order differential equation of the formy + p(x)y +q(x)y=g(x)where p(x), q(x) and g(x) has power series expansions at x=a. A solution to this second order differential equation can be expressed as a power series at a. Thus any… … Wikipedia**Newton's theorem of revolving orbits**— Figure 1: An attractive force F(r) causes the blue planet to move on the cyan circle. The green planet moves three times faster and thus requires a stronger centripetal force, which is supplied by adding an attractive inverse cube force. The … Wikipedia**Fourier series**— Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms … Wikipedia