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  2. Standard electrode potential (data page) - Wikipedia

    en.wikipedia.org/wiki/Standard_electrode...

    The data below tabulates standard electrode potentials (E °), in volts relative to the standard hydrogen electrode (SHE), at: Absolute partial pressure 101.325 kPa (1.00000 atm; 1.01325 bar) for each gaseous reagent — the convention in most literature data but not the current standard state (100 kPa). Variations from these ideal conditions ...

  3. Uniform 4-polytope - Wikipedia

    en.wikipedia.org/wiki/Uniform_4-polytope

    Only vertices and edges are drawn. In geometry, a uniform 4-polytope (or uniform polychoron) [ 1 ] is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons. There are 47 non- prismatic convex uniform 4-polytopes.

  4. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one.

  5. Glossary of chemical formulae - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_chemical_formulae

    lithium hydroxide. 1310-65-2. LiTaO 3. lithium tantalate lithium metatantalate. 12031-66-2. LiVO 3 ·2H 2 O. lithium metavanadate dihydrate. Li 2 HAsO 4. dilithium hydrogen arsenate.

  6. Density functional theory - Wikipedia

    en.wikipedia.org/wiki/Density_functional_theory

    Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed phases. Using this theory, the properties of ...

  7. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    The formula for the distribution then becomes f ( x ) = τ 2 π e − τ ( x − μ ) 2 / 2 . {\displaystyle f(x)={\sqrt {\frac {\tau }{2\pi }}}e^{-\tau (x-\mu )^{2}/2}.} This choice is claimed to have advantages in numerical computations when σ {\textstyle \sigma } is very close to zero, and simplifies formulas in some contexts, such as in ...

  8. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    Nonstandard analysis. v. t. e. In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point.

  9. Platonic solid - Wikipedia

    en.wikipedia.org/wiki/Platonic_solid

    This follows from the spherical excess formula for a spherical polygon and the fact that the vertex figure of the polyhedron {p,q} is a regular q-gon. The solid angle of a face subtended from the center of a platonic solid is equal to the solid angle of a full sphere (4 π steradians) divided by the number of faces. This is equal to the angular ...