** Well-ordering theorem: Every set can be well-ordered.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

** König's theorem: Colloquially, the sum of a sequence of cardinals is strictly less than the product of a sequence of larger cardinals.

** Tychonoff's theorem stating that every product of compact topological spaces is compact.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.

** Stone's representation theorem for Boolean algebras needs the Boolean prime ideal theorem.

** The Nielsen – Schreier theorem, that every subgroup of a free group is free.

** The Hahn – Banach theorem in functional analysis, allowing the extension of linear functionals

** The theorem that every Hilbert space has an orthonormal basis.

** The Banach – Alaoglu theorem about compactness of sets of functionals.

** The Baire category theorem about complete metric spaces, and its consequences, such as the open mapping theorem and the closed graph theorem.

** Gödel's completeness theorem for first-order logic: every consistent set of first-order sentences has a completion.

** The numbers and are not algebraic numbers ( see the Lindemann – Weierstrass theorem ); hence they are transcendental.

** Hilbert's basis theorem

** Bayes ' theorem

** More generally, Rademacher's theorem extends the differentiability result to Lipschitz mappings between Euclidean spaces: a Lipschitz map ƒ: U → R < sup > m </ sup >, where U is an open set in R < sup > n </ sup >, is almost everywhere differentiable.

** Lyapunov's central limit theorem

** " Kelvin's vorticity theorem for incompressible or barotropic flow ".

** Artin reciprocity law, a general theorem in number theory that provided a partial solution to Hilbert's ninth problem

** Various proofs of the four colour theorem.

** Analogue filter, a basic building block of signal processing much used in electronics, see Passive analogue filter development

** Consumer electronics

** Thermal resistance in electronics, heat considerations in electronics design

** Electronics Engineering Technology, with concentrations in: biomedical, electronics

** Decca Radar later Racal-Decca Marine, a defunct marine electronics manufacturer

** Rockwell Collins, a communications and aviation electronics company that also descended from Rockwell International

** Ciberpaís, supplement on computing and electronics, and

** Steady state ( electronics ), a state existing in a circuit or network when all transients have died away.

** TCL Corporation, a Chinese electronics company

** S9, the Portable media player of Cowon which electronics company in South Korea

** PowerPC CPU designed for consumer electronics applications

** Digitized on board electronics

** Prerequisite: Have Vocational Training in electronics, Electrotechnics, or Mechatronics Industrial Computers

** Average 80, 000 square feet ( 7, 400 square metres ) and include a selection of general merchandise, including apparel, electronics, health and beauty aids, toys, sporting goods and household products.

** Consumer electronics such as CD / DVD player, home theatre, MP3, TV, VCR, joystick, camera, car CD / DVD, MD player, game player & controller

** Electronics ( electronics, software, circuit boards, control units ).

** Technologies and services in optronics, avionics, electronics and safety-critical software

** 2nd ed., Inventing the electronic century: the epic story of the consumer electronics and computer industries by Alfred Dupont Chandler ; Takashi Hikino ; Andrew Von Nordenflycht.

** Cybernetic electronics engineering

** Cybernetic electronics engineering