In the third step, the process is systematically synthesized on the Clausius Clapeyron diagram by using the thermodynamic correspondence with the Carnot factor vs. heat diagram.
By using the same correspondence, the original data associated with each ( {overline{mathcal{X}}}_i, mathrm{i}=1,2,dots, mathrm{s} ) can be determined.
It is a condition of using the correspondence map.
Determine the geometric transformation, using the correspondence.
By using the lattice structure and correspondence of a SMA in phase transformation, the "yield" surfaces of the following polycrystalline SMAs are calculated: NiTi, NiAl, CuZnGa, and CuAlNi.
Then, by using the one-to-one correspondence between the theory of quaternion valued hyperholomorphic functions and that of Cimmino system's solutions, we transform the problem as stated above into a problem related to the ψ-hyperholomorphic functions in quaternionic analysis.
In Section 4, we first propose a kind of mixed boundary value problem for the inhomogeneous Cimmino system (1.2); then we obtain an integral representation of the solution of the mixed boundary value problem by using the one-to-one correspondence between the theory of quaternion valued hyperholomorphic functions and that of a Cimmino system's solutions.
Since Sack et al. [21] found a close correspondence between the TMS-affected visuospatial network and the fMRI FC visuospatial network, we decided to exploit this correspondence by using the exact same stimuli and tasks in a new combined fMRI and TMS study.
By using the method of one-to-one correspondence between fragments and subgraphs consisting of edges, we reduce the number of fragments generated by the combinatorial approach by multiple orders of magnitude.
