cracker operators are consuming more ethane instead of heavier feed slates, resulting in a reduction of
coproduct production, including propylene.
214) that the
coproduct of the objects A and B of a category b is a triple (A [??] B, [alpha], [beta]), where A [??] B is an object in b and [alpha] : A [right arrow] A [??] B, [beta] :B [beta] A [??] B are morphisms of the category b such that for every object X in b and every pair of morphisms f : A [right arrow] X, g : B [right arrow] X of b there exists a unique morphism [theta] : A [??] B [right arrow] X of b such that [theta] [theta] [alpha] = f and [theta] [??] [beta] = g.
In vitro antioxidant properties of pomegranate (Punica granatum) peel powder extract obtained as
coproduct in the juice extraction process.
Biodiesel production from algae uses the algal carbohydrates but leaves a protein-rich
coproduct that was readily consumed by California yellowtail and white seabass in feeding trials.
The main
coproduct of biodiesel is crude glycerol, which before a highly cost purification process has a limited amount of applications.
Below we denote by [DELTA] the
coproduct of a braided Hopf algebra A and by [A.sup.+] the kernel of the counit.
The concept of crossed
coproduct appeared as a dual version of the usual crossed product for Hopf algebras and it was studied in several papers; see [7-9].
The only possibility is then to deform the Leibniz rule, turning the ordinary Lie algebra of generators into a Hopf algebra with nontrivial
coproduct [8].
As of May 16, the country has 44 operating metallic mines-27 nickel mines, one copper mine with gold as
coproduct, two copper mines with gold and silver as
coproducts, six gold mines with silver as
coproduct, three chromite mines and five iron mines, according to the MGB.
Soybean hulls (SH) are a
coproduct from soybean processing.
We endow the set of isomorphism classes of matroids with a new Hopf algebra structure, in which the
coproduct is implemented via the combinatorial operations of restriction and deletion.
The oil reacts with the methoxide to form biodiesel and a glycerin
coproduct; allow the glycerin to settle and then drain it off.