Algebraic number

The most important distinction among the types is whether or not a change of valence is involved. Valence, as we shall use the term, is the algebraic number of unit electric charges on an ion or radical. 

An equation of the form f(x)=0 where f is a polynomial, algebraic number... 

A number that is the root of an algebraic polynomial. For example, sqrt(2) is an algebraic number because it is a solution of the equation x2=2. alphameric... 

Another example of an algebraic number is the golden mean... 

In the derivation of Eq. (152), we neglected the quantity of the species produced or consumed at the electrode. In practice this is true for microscale electrochemical experiments but is necessarily inexact for macroscale or exhaustive electrolysis. To derive the general equation, let us consider the total equation for the bulk solution. The chemical contribution is given in Eq. (152). On the other hand, a flux of the species at the convection layer limit (5conv must be considered. This flux corresponds to an algebraic number dNgiec of moles of the species produced, given in Eq. (154),... 

The electrochemical potential fif (Guggenheim, 1929) ofachargedparticlej inphaseaistheworkthatmust be done in reversible isothermal transfer of one particle (one mole of particles in some texts) from a field-free vacuum to the interior of the phase. It is the sum of a chemical and an electrical component jXf = -t, where pf is the chemical potential of i in phase a and Zi is the algebraic number of electronic charges q on i. For an electron, z, = -1. 

Zi charge number of species i dimensionless algebraic number see section 1.2.1... 

Stewart, Ian, and David Tall. Algebraic Number Theory and Fermat s Last Theorem. 3d ed. Natick, Mass. AK Peters, 2002. 

Enriched mathematics by his innovations in algebra, number theory, combinatorics, and graph theory. 

Real numbers are often divided into two subsets. One subset, the algebraic numbers, are real numbers which solve a polynomial equation in one variable with integer coefficients. For example is an... 

This equation uses stoichiometric algebraic numbers positive for a reaction product and negative for a reactant. 

The classification over a global ring such as an algebraic number field (e.g. local rings such as the completions at the various valuations... 

If R is the ring of integers in an algebraic number field P then by minor 14,Cor. 16.3)... 

In defect-free smectic phases of constant layer thickness d, twisted arrangement of the layers are forbidden as can be shown easily let A and B be two points in a smectic phase and N (r) the (oriented) layer normal at position r. The (algebraic) number of layers crossed along a path going from A to... 

These arrows have no physical significance, but it is impossible to construct the invariants without them. For a single curve, the invariant represents the algebraic number of knots in a curve, but since these contribute + and - contributions to the higher invariants one is required also to say that a particular curve has a particular topology. The problem is rather like defining a function from its Fourier components. In the present paper only the first invariant will be used, and that rather crudely. Nevertheless this invariant can do the vital job of prohibiting a motion from... 

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