Product, definition multiplication

In heavy-ion reactions, the more general term quasielastic scatteringis frequently applied to reactions at the nuclear surface. This more inclusive definition covers not only the above mechanisms, but also multiple-nucleon-traws r reactions. In these events, two or more nucleons may be transferred, producing a more diverse array of reaction products. The multiple-nucleon-transfer mechanism can produce nuclei relatively far away from the line of beta stability. Consider the example,... 

Order capture processes enter customer s request for products. It does so using a standard interface platform. Order validation creates the library of business and technical rules that can be used to determine if an order is valid and should be accepted for further processing. For example, business rules define possible actions on customer s credit limit and/or the contractual terms. Technical rules define availability of services needed to complete the order in the customer s premises. Order decomposition provides a mechanism to generate multiple sub-orders based on the product definition (product decomposition) or based on the delivery location (work order decomposition). For example, a customer may order a broadband... 

The basic condition of the Standard application - the availability of stable coupled probabilistic or the multiple probabilistic relations between then controlled quality indexes and magnetic characteristics of steel. All the probabilistic estimates, used in the Standard, are applied at confidence level not less than 0,95. General requirements to the means of control and procedure of its performance are also stipulated. Engineers of standard development endeavoured take into consideration the existed practice of technical control performance and test at the enterprises that is why the preparation of object control for the performance of nondestructive test can be done during the process of ordinary acceptance test. It is suggested that every enterprise is operated in correspondence with direct and non-destructive tests, obtained exactly at it, for detailed process chart and definite product type, however the tests have long since been performed after development of the Standard displayed that process gives way to unification. 

From the definition of matrix multiplication, we see that the product of any matrix multiplied with a properly dimensioned zero matrix must be a zero matrix. We also see that the any matrix that is multiplied with a properly dimensioned unit matrix will remain unchanged by the multiplication. 

For a linear plan the pseudo-overall yield as defined above is numerically close to the multiplicative product of the reaction yields. The difference between the two values diminishes as the reaction yields approach 1 as would be expected. However, for complex plans with several converging branches this alternative definition becomes less useful. For the triclosan branch equation (4.16) yields 0.405 (40.5%) for the pseudo-overall yield. 

Life cycle presents a typical allocation case because the refining process is a multiple product process and the other sub-products obtained during diesel production are shown in Figure 2, together with the definition of the most important processes involved in the refining step. 

The term carbometallation was most probably coined only about a quarter of a century ago.1 However, the history of those reactions that can be classified as carbometallation reactions is much older. If one includes not only the Ziegler-Natta-type organometallic alkene polymerization reactions2 but also various types of organometallic conjugate addition reactions,3 carbometallation collectively is easily more than a century old. In its broadest definition, carbometallation may be defined as a process of addition of a carbon-metal bond to a carbon-carbon multiple bond. As such, it may represent either a starting material-product relationship irrespective of mechanistic details or an actual mechanistic microstep of carbon-metal bond addition to a carbon-carbon metal multiple bond irrespective of the structure of the product eventually formed. 

Integer variables are included in the model to ensure that new capacities can only be installed as integer multiples of a given plant capacity (if, e.g., hydrogen liquefaction plants in the model are only defined for a capacity of 100 MWh2, only liquefaction capacities of 100 MWh2, 200 MWh2, etc., can be installed). This approach allows the definition of different capacity classes of, e.g., production plants or transport... 

One method of partitioning the system equations is to compute the maximal loops using powers of the adjacency matrix as discussed in Section II. Certain modifications to the methods of Section II are needed in order to reduce the computation time. The first modification is to obtain the product of the matrices using Boolean unions of rows instead of the multiplication technique previously demonstrated to obtain a power of an adjacency matrix. To show how the Boolean union of rows can replace the standard matrix multiplication, consider the definition of Boolean matrix multiplication, Eq. (2), which can be expanded to... 

The transformation used above to enumerate tautomers would lead to identical products when applied to symmetrically substituted pyrazoles. The set of structures generated in the enumeration process is converted to a sorted list of canonical SMILES [23] from which duplicates are easily eliminated. Structures registered in alternative tautomeric forms are converted to identical lists of SMILES that can each be represented by their common first member. This effectively extends the definition of canonical SMILES to cover an ensemble of tautomeric forms and makes it possible to check for duplicate structures without having to register multiple forms [16, 26]. 

Lattice Points positions in a unit cell occupied by atom, molecules, or ions Law of Definite Proportion law that states that different samples of the same compound always contain elemental mass percentages that are constant Law of Mass Action mathematical expression based on the ratio between products and reactants at equilibrium, an equation to determine the equilibrium rate constant Law of Multiple Proportions law that states when two elements combine to form more than one compound that the mass of one element compared to the fixed mass of... 

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