** Krull's principal ideal theorem

** Krull's theorem

** The point of intersection of the axes in the Cartesian coordinate system

** Malbone Street Wreck: The worst rapid transit accident in world history occurs under the intersection of Malbone Street and Flatbush Avenue, in Brooklyn, New York City, with at least 93 dead.

** Hard Hat riot: Unionized construction workers attack about 1, 000 students and others protesting the Kent State shootings near the intersection of Wall Street and Broad Street and at New York City Hall.

** The former residence of Archie Manning is located at the intersection of Green and Third, across from the former Drew High School.

** Line-line intersection

** Line-plane intersection

** Line – sphere intersection

** Line segment intersection

** History: First opened in 1964, from the bridge to Route 105 ( Gatineau, Exit 5 ); last section opened in 2009 from chemin de la Rivière ( Exit 13 to 21 ) to an intersection with Route 105 one kilometre further north near Farm Point.

** The intersection of I-30 and I-35E in downtown Dallas, Texas

** The intersection of I-30 and I-35W in downtown Fort Worth, Texas

** The intersection of I-84 and Route 8 in Waterbury, Connecticut, consisting of decked lanes on both roadways and multiple left exits

** Proteogenomics: An emerging field of biological research at the intersection of proteomics and genomics.

** that part of Subdivision D lying northerly of a line described as follows: commencing at the intersection of the southwesterly production of Cooper Creek with the easterly limit of Subdivision H of the Regional District of Central Kootenay ; thence generally northeasterly along said production and said creek to the Duncan River ; thence northerly along said river to Hamill Creek ; thence generally northeasterly along said creek and its production to the easterly limit of Subdivision D of said regional district ;

** x is the axis perpendicular with z axis, where x = 0 at the intersection.

** Reduced left-turn conflict points as compared to a standard four-leg intersection.

** Removes conflicts with right-turning vehicles and pedestrians / bicyclists at the primary intersection.

** Reduced overall travel time and delay through the intersection.

** Increased overall percentage of vehicles stopped at the intersection.

** With reverse jughandles, motorists travel through the intersection twice: adding to the net movement demand.

** Motorists wishing to perform a U-turn maneuver at a reverse jughandle must perform a weaving maneuver across all cross-street lanes to travel from the jughandle terminus to the left-turn lane ( unless another reverse jughandle is located on the other corner on the side of the cross street ahead of the motorist's original direction, in which case the motorist stays on the right but must cross through the intersection three times ).

** To provide for motorist safety, the Federal Highway Administration recommends locating transit stops further from the intersection, outside of the jughandle ramps.

** 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

** Superposition theorem, in electronics

** " 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.