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                  coordination  The  formation  of  a  covalent  cosine  The function cos(x) =  e +e −ix  . Geo-
                                                                                         2
                  bond,  the  two  shared  electrons  of  which  have  metrically, it is the ratio of the lengths of adjacent
                  come  from  only  one  of  the  two  parts  of  the  side to hypotenuse for a right triangle with angle
                  molecular entity linked by [iut,] as in the reaction  x for 0 < x <  π .
                                                                        2
                  of a Lewis acid and a Lewis base to form a Lewis
                  adduct; alternatively, the bonding formed in this  cosmological constant  In general relativity
                                                                                     µν
                  way.  In the former sense, it is the reverse of  it is possible to add the term Lg  to the energy-
                  unimolecular  heterolysis.  “Coordinate  cova-  momentum tensor, where L is the cosmological
                  lence”  and  “coordinate  link”  are  synonymous  constant, and g µν  is the space-time metric tensor.
                  (obsolescent)terms. Thesynonym“dativebond”                              cos x
                  is  also  obsolete.  (The  origin  of  the  bonding  cotangent  The function cot(x) =   sin x  . See
                  electrons has by itself no bearing on the char-  cosine, sine.
                  acter of the bond formed. Thus, the formation of
                  methyl chloride from a [methylu cation] and a  Coulomb  gauge  In  gauge  theory  the
                                                                                          i
                                                           Coulomb gauge is defined by taking ∂ A = 0,
                  chloride ion involves coordination; the resultant                         i
                                                           where A is the vector potential.
                  bond obviously differs in no way from the C–
                  Cl bond in methyl chloride formed by any other
                                                           Coulomb potential   The Coulomb potential
                  paty, e.g., by colligation of a methyl radical and                  n
                                                           )(x) of a source function f  on R is given by
                  a chlorine atom.)
                    Thetermisalsousedtodescribethenumberof       )(x) =      x − y  2−n f(y)dy.
                  ligandsaroundacentralatomwithoutnecessarily            R n
                  implying two-electron bonds.             For n = 3, this is the potential function for
                                                           Newton’s theory of gravitation.
                  copolymer   A  polymer  derived  from  more
                  than one species of monomer.             countable additivity  A measure µ has
                    Note:  Copolymers  that  are  obtained  by  the property of countable additivity if given
                  copolymerization  of  two  monomer  species  are  A ,A ,... asequenceofpairwisedisjoint meas-
                                                                2
                                                             1
                  sometimes  termed  bipolymers,  those  obtained  urable sets then
                                                                        ∞       ∞
                  from  three  monomers  terpolymers,  those
                                                                     µ(   A ) =   µ(A ).
                  obtained  from  four  monomers  quaterpoly-              i          i
                                                                       i=1      i=1
                  mers, etc.
                                                           countable set   A set is countable if it is
                  copolymerization  Polymerization in which  either finite or denumerable. See also cardinal-
                  a copolymer is formed.                   ity, denumerably infinite set, finite set, infinite set,
                                                           and uncountably infinite set.
                  corrosion  An  irreversible  interfacial  reac-
                                                           covalent bond   A region of relatively high
                  tion of a material (metal, ceramic, polymer) with
                                                           electron density between nuclei which arises at
                  its environment which results in consumption of
                                                           least partly from sharing of electrons and gives
                  the material or in dissolution into the material of
                                                           rise to an attractive force and characteristic inter-
                  a component of the environment.
                                                           nuclear distance.
                    Often,  but not necessarily,  corrosion results
                  in effects detrimental to the usage of the material  covariant derivative  On a Riemannian
                  considered.  Exclusively physical or mechanical  manifold (M, g) the covariant derivative of a
                  processes such as melting or evaporation, abra-  vector field Y along the vector field X is the vec-
                  sion or mechanical fracture are not included in  tor field ∇ Y locally given by
                                                                    X
                  the term corrosion.
                                                                               ∂      ∂Y  k  ∂
                                                                        j
                                                                            i
                                                                          k
                                                                ∇ Y = X Y N jk  i  + X  j  j  k
                                                                 X
                  cosecant   The function csc(x) =  1  .  See                 ∂q      ∂q ∂q
                                                sin(x)
                  sine.                                    where N i  are the Christoffel symbols of g.
                                                                  jk
           © 2003 by CRC Press LLC
           © 2003 by CRC Press LLC
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