A polymer includes the reaction product of A, B, and C, and optionally D, wherein: A is a polyepoxide that is: the condensation product of phenol, formaldehyde, and epichlorohydrin; the condensation product of bisphenol A, formaldehyde, and epichlorohydrin; or a combination of said condensation products; B is at least one polyoxyalkylene with a terminal primary amine group wherein each polyoxyalkylene comprises an ethyleneoxy moiety and a propyleneoxy moiety and independently has the following structure:

##STR00001## wherein R is a hydrogen atom or a C.sub.1-C.sub.4 group, and wherein each of x and y is independently from 0 to about 500 and x+y>0; and C is an anchoring compound that is: a secondary amine; a monocarboxylic acid; a cyclic imide; or a combination thereof; and D is an alkylating agent.

This polymer is included in a composition that further includes a compound such as a particulate solid.

A polymer includes the reaction product of A, B, and C, and optionally D, wherein: A is a polyepoxide that is: the condensation product of phenol, formaldehyde, and epichlorohydrin; the condensation product of bisphenol A, formaldehyde, and epichlorohydrin; or a combination of said condensation products; B is at least one polyoxyalkylene with a terminal primary amine group wherein each polyoxyalkylene comprises an ethyleneoxy moiety and a propyleneoxy moiety and independently has the following structure:

##STR00001## wherein R is a hydrogen atom or a C.sub.1-C.sub.4 group, and wherein each of x and y is independently from 0 to about 500 and x+y>0; and C is an anchoring compound that is: a secondary amine; a monocarboxylic acid; a cyclic imide; or a combination thereof; and D is an alkylating agent.

This polymer is included in a composition that further includes a compound such as a particulate solid.

A bioelectrode includes an inorganic base material and a conductive layer covering the inorganic base material, in which the conductive layer has a polymer having moieties derived from a first compound having an epoxy group and an alkoxysilyl group, and at least one of an alkali metal ion and a Group 2 element ion supported in the polymer, and in the polymer, the moiety derived from the epoxy group is ring-opening polymerized, and the moiety derived from the alkoxysilyl group forms a siloxane bond.

A bioelectrode includes an inorganic base material and a conductive layer covering the inorganic base material, in which the conductive layer has a polymer having moieties derived from a first compound having an epoxy group and an alkoxysilyl group, and at least one of an alkali metal ion and a Group 2 element ion supported in the polymer, and in the polymer, the moiety derived from the epoxy group is ring-opening polymerized, and the moiety derived from the alkoxysilyl group forms a siloxane bond.

A coating composition includes a (A) binder component and a (B) pigment component. The (A) binder component includes (A1) polyvinyl butyrate, (A2) a particular film forming resin, (A3) an acid, (A4) an optional functionalized tri-alkoxy silane, and (A5) an optional polymeric phosphate ester. The (B) pigment component includes (B1) a calcium ion-exchanged silica, (B2) a corrosion inhibiting pigment, and (B3), a polyalkylene oxide phosphate. The coating composition is formed by combining the aforementioned components. In a method, the coating composition is applied to a substrate.

A coating composition includes a (A) binder component and a (B) pigment component. The (A) binder component includes (A1) polyvinyl butyrate, (A2) a particular film forming resin, (A3) an acid, (A4) an optional functionalized tri-alkoxy silane, and (A5) an optional polymeric phosphate ester. The (B) pigment component includes (B1) a calcium ion-exchanged silica, (B2) a corrosion inhibiting pigment, and (B3), a polyalkylene oxide phosphate. The coating composition is formed by combining the aforementioned components. In a method, the coating composition is applied to a substrate.

A solid-state electrolyte includes a lithium salt, a lithium ion-conducting inorganic material, a polymer, and a coupling agent. The coupling agent bonds the lithium ion-conducting inorganic material to the polymer.

A solid-state electrolyte includes a lithium salt, a lithium ion-conducting inorganic material, a polymer, and a coupling agent. The coupling agent bonds the lithium ion-conducting inorganic material to the polymer.

An alkyloxirane derivative represented by formula (1), wherein M.sub.H and M.sub.L calculated from a gel permeation chromatogram satisfy formula (2):
Z—[O-(AO)n-H]x  (1)
where Z represents a residual group of a compound having 1 to 22 carbon atoms and one to six hydroxyl groups and wherein all of the hydroxyl groups are excluded from said compound; x is 1 to 6; and AO represents an oxyalkylene group having 3 carbon atoms; and n is 25 or more;
0.35≤M.sub.L/M.sub.H≤0.75  (2)
where M.sub.H represents a distance between point O and intersecting point P, and M.sub.L represents a distance between point Q and intersecting point P determined from the chromatogram.

An alkyloxirane derivative represented by formula (1), wherein M.sub.H and M.sub.L calculated from a gel permeation chromatogram satisfy formula (2):
Z—[O-(AO)n-H]x  (1)
where Z represents a residual group of a compound having 1 to 22 carbon atoms and one to six hydroxyl groups and wherein all of the hydroxyl groups are excluded from said compound; x is 1 to 6; and AO represents an oxyalkylene group having 3 carbon atoms; and n is 25 or more;
0.35≤M.sub.L/M.sub.H≤0.75  (2)
where M.sub.H represents a distance between point O and intersecting point P, and M.sub.L represents a distance between point Q and intersecting point P determined from the chromatogram.