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In polymer chemistry, the kinetic chain length (ν) of a polymer is the average number of units called monomers added to a growing chain during chain-growth polymerization. During this process, a polymer chain is formed when monomers are bonded together to form long chains known as polymers.
The degree of polymerization, or DP, is the number of monomeric units in a macromolecule or polymer or oligomer molecule. [1] [2] [3]For a homopolymer, there is only one type of monomeric unit and the number-average degree of polymerization is given by ¯ ¯ = ¯, where ¯ is the number-average molecular weight and is the molecular weight of the monomer unit.
The notation ARMAX(p, q, b) refers to a model with p autoregressive terms, q moving average terms and b exogenous inputs terms. The last term is a linear combination of the last b terms of a known and external time series . It is given by:
The fully stretched length = (/). By equating the two expressions for R 2 {\displaystyle \langle R^{2}\rangle } and the two expressions for L {\displaystyle L} from the actual chain and the equivalent chain with Kuhn segments, the number of Kuhn segments N {\displaystyle N} and the Kuhn segment length b {\displaystyle b} can be obtained.
Consider a long, thin rod of mass and length .To calculate the average linear mass density, ¯, of this one dimensional object, we can simply divide the total mass, , by the total length, : ¯ = If we describe the rod as having a varying mass (one that varies as a function of position along the length of the rod, ), we can write: = Each infinitesimal unit of mass, , is equal to the product of ...
A product's average price is the result of dividing the product's total sales revenue by the total units sold. When one product is sold in variants, such as bottle sizes, managers must define "comparable" units. Average prices can be calculated by weighting different unit selling prices by the percentage of unit sales (mix) for each product ...
Variable pathlength absorption spectroscopy uses a determined slope to calculate concentration. As stated above this is a product of the molar absorptivity and the concentration. Since the actual absorbance value is taken at many data points at equal intervals, background subtraction is generally unnecessary.
Warped product of two Riemannian (or pseudo-Riemannian) manifolds = (,) and = (,) with respect to a function : is the product space with the metric tensor (). [ 1 ] [ 2 ] Warped geometries are useful in that separation of variables can be used when solving partial differential equations over them.