** fundamental properties of elementary particles

** for his fundamental and broad contributions to discrete optimization including his deep research on balanced and ideal matrices, perfect graphs and cutting planes for mixed-integer optimization.

** for their fundamental path-breaking work in combinatorial optimization.

** in recognition of his fundamental contributions to game theory and related areas

** for their fundamental contributions to performance analysis and optimization of stochastic systems

** Elementary particle, a particle of which larger particles are composed, also called a fundamental particle

** He Is There and He Is Not Silent: How God speaks to man through the Bible on the three philosophically fundamental areas of metaphysics, morals, and epistemology.

** Genesis in Space and Time: Argues that the historical ( as opposed to literalist or figurative ) view of Genesis as historically true is fundamental to the Christian faith.

** Grand unification temperature, or grand unification energy, the temperature or energy at which the strengths of three fundamental forces ( electromagnetism, strong and weak nuclear forces ) converge

** Quadratic reciprocity, a fundamental result in number theory

** Mobile phone form factor, the fundamental design of a mobile phone

** radical movement-movements dedicated to changing value systems in a fundamental way.

** Flexible macroblock ordering ( FMO ), also known as slice groups, and arbitrary slice ordering ( ASO ), which are techniques for restructuring the ordering of the representation of the fundamental regions ( macroblocks ) in pictures.

** Monarchy denies the people a basic right – Republicans believe that it should be a fundamental right of the people of any nation to elect their head of state and for every citizen to be eligible to hold that office.

** Eclipsing binaries — In the last decade, measurement of eclipsing binaries ' fundamental parameters has become possible with 8 meter class telescopes.

** A fundamental physical force that is responsible for interactions between charged particles

** List of fundamental theorems

** The fundamental theorem of algebra, a theorem regarding the factorization of polynomials

** By the fundamental theorem of finitely generated abelian groups, it follows that abelian groups are amenable.

** Logit, the inverse of the logistic function, fundamental to logistic regression

** Qiyamat-the Day of Resurrection ( and the reward and punishment of the good and the wicked ); a fundamental element of Islamic eschatology that incorporates much from the Jewish and Christian traditions.

** 1. 5 Knowledge of fundamental business processes ( e. g., purchasing, payroll, accounts payable, accounts receivable ) including relevant IT

** Alexander Anderson works for the Vatican's secret Iscariot Organization ( Section XIII ), who act like the Hellsing Organization, but are more fundamental, and serve to fight for Catholicism, as opposed to Hellsing protecting the prothestantism.

** Celestial spheres, fundamental entities of the cosmological models developed by Plato, Eudoxus, Aristotle, Ptolemy, Copernicus and others

** 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.