Sentence examples for be utilized for constructing from inspiring English sources

In this section we provide an example how the results of the preceding sections can be utilized for constructing a stationary point of a process defined by the Urysohn operator T ( f ) ( x ) = ∫ 0 1 k ( x, y, | f ( y ) | ) d y + f 0 ( x ), where f 0 is a fixed function and f : [ 0, 1 ] → R is Lebesgue measurable.

We envision that a hybrid-polymeric nanoarchitecture can be utilized for constructing one layer of solar cell to explore the possible optoelectronic device application, which will open up new opportunities for the development of solar cells based on organic inorganic nanocomposites.

Thus, the process for identify ITRs from a high-dimensional source requires that we first identify a sparse subset of predictive biomarkers that can be utilized for constructing the ITR.

Search based algorithms which form a subset of machine learning algorithms can be utilized for constructing prediction models to identify change prone classes of software.

The production rule based knowledge-base system (KBS) approach is utilized for constructing the system modules.

A decision tree (DT) algorithm was utilized for constructing a computational model to predict FP oligomeric states.

A 3 × 2 × 1 supercell of TiO2 anatase along x, y, and z directions was utilized for constructing the considered TiO2 anatase nanoparticles containing 72 atoms.

Stacked MoO3/Ag/MoO3 (MAM) films, which can serve as both transparent electrodes and electrochromic materials, were utilized for constructing high-performance flexible indium tin oxide (ITO -free electrochromITO -frees.

It is then extended to support multicast routing as well where only local state information (at source) is utilized for constructing a multicast tree.

Electrochemical depositions were utilized for constructing this core shell nanostructure, which involved potentiostastic deposition of ZnO nanorod arrays and potentiodynamic deposition of multivalent and partially hydrous manganese oxide.

The Mitsunobu reaction, nucleophilic substitution and elimination, etc. were utilized for constructing diverse tri- and tetracyclic steroidal skeletons as well as benzofused seco-steroids from amino acids.