Sentence examples for case decomposition from inspiring English sources

In this case decomposition (4.19) becomes mathcal{H} = mathcal{T}(0) oplusoverline{D mathcal{T})}.

In this case decomposition reactions have been separated from other reactions which result in pure carbon dioxide production.

In this case, decomposition of hydrates, reduction of cohesive force and expansion which was caused by temperature change and water evaporation were regarded as the major reasons for thermal damage of concrete structure at long-time circular elevated temperature in metallurgy environment.

Thus, the LS BAM should provide enough detail to meet the current informational needs of stakeholders by documenting goals common among all LS research with the anticipation of further use case decomposition as needed.

In some cases, decomposition of the sample occurred without the appearance of a flame.

In some cases, decomposition was found to be more (or less) advanced than 'suggested' by the tree surface (i.e., bark or sapwood condition).

The PPA and its dual version in the context of convex programming, the method of multipliers of Hesteness and Powell, have been extensively studied and are known to yield as special cases decomposition methods such as the method of partial inverses [7], the Douglas-Rachford splitting method, and the alternating direction method of multipliers [8].

The catalytic reaction may be acid-specific (acid catalysis), as in the case of decomposition of the sugar sucrose into glucose and fructose in sulfuric acid; or base-specific (base catalysis), as in the addition of hydrogen cyanide to aldehydes and ketones in the presence of sodium hydroxide.

In this case their decomposition rate constants decreased by 67%and49%9%, respectively.

In this case, the decomposition reads H ( F n ) = ⟨ H ( R n ), H ( F n ) + ⟩.

Table 1 Average time spent by each approach Case Proposed decomposition (s) CVX (s) Equal MSE 0.4377 3.2094 Unequal MSE 0.2237 2.6747.