Correspondence theory

The corresponding theory for transfer in the liquid phase is even less certain, if one had static drops, the transfer would be... 

In the presence of both order-disorder and displacive, as in the KDP family, the two dynamic concepts have somehow to be merged. It could well be that the damping constant Zs becomes somewhat critical too (at least in the over-damped regime of the soft mode), because of the bihnear coupling of r/ and p. It would, however, lead too far to discuss this here in more detail. The corresponding theory of NMR spin-lattice relaxation for the phase transitions in the KDP family has been worked out by Blinc et al. [19]. Calculation of the spectral density is here based on a collective coordinate representation of the hydrogen bond fluctuations connected with a soft lattice mode. Excellent and comprehensive reviews of the theoretical concepts, as well as of the experimental verifications can be found in [20,21]. 

Thus, the uncertainty in the absolute value of the nonzero photon rest mass does not necessarily imply that the corresponding theory is questionable, but rather could be due simply to some so far hidden extra condition or refinement that may have to be added at a later stage to obtain such a value. 

Our second quantum-mechamcal assumption is that we can use the wave function to calculate the relative probabilities of all possible outcomes of any given measurement. For example, we could do an experiment to determine whether a given particle lies in the cube with unit-length sides parallel to the coordinate axes and centered at the origin (Figure 1.1) the corresponding theory says that... 

Kinetics is concerned with many-particle systems which require movements in space and time of individual particles. The first observations on the kinetic effect of individual molecular movements were reported by R. Brown in 1828. He observed the outward manifestation of molecular motion, now referred to as Brownian motion. The corresponding theory was first proposed in a satisfactory form in 1905 by A. Einstein. At the same time, the Polish physicist and physical chemist M. v. Smolu-chowski worked on problems of diffusion, Brownian motion (and coagulation of colloid particles) [M. v. Smoluchowski (1916)]. He is praised by later leaders in this field [S. Chandrasekhar (1943)] as a scientist whose theory of density fluctuations represents one of the most outstanding achievements in molecular physical chemistry. Further important contributions are due to Fokker, Planck, Burger, Furth, Ornstein, Uhlenbeck, Chandrasekhar, Kramers, among others. An extensive list of references can be found in [G.E. Uhlenbeck, L.S. Ornstein (1930) M.C. Wang, G.E. Uhlenbeck (1945)]. A survey of the field is found in [N. Wax, ed. (1954)]. 

The correspondence theory of truth in the stipulated sense of the previous chapter is incompatible with this account on two counts. The correspondence theory in the stipulated sense is a Tarskian theory with reference understood as a non-epistemic relation to entities that are mind-independent in the sense of (MR1). The present account considers reference an epistemic relation, since it hinges on justification conditions, which are clearly epistemic. It also fits badly with the idea that the entities words refer to are ontologically independent of the human mind. The disagreement concerns both the nature of the reference relation but also one of the relata. This latter point may be less clear, since the three-step recipe does not say anything about the ontological status of the entities we refer to. So why does it naturally tie in with (IR1) rather than with (MR1) ... 

Even though this will be dealt with in more detail later, it is important to get clear about the nature of the ontological mind-dependence of the quasi-phenomenal world. It means only the mind-dependence of things, not the mind-dependence of the relations obtaining between them, which was mentioned in clause (3) of the correspondence theory in the previous paragraph. Take the sentence The table is brown . It is true if and only if the table is brown. The object the table refers to must have the property brown refers to. The object and the property are ontologically mind-dependent. But it is ontologically independent of the mind whether that object does actually have that property. 

Despite the kinship of the present development to these historical works, we don t try to follow upon the historical footsteps directly. Part of our reservation is that these historical works were based upon lattice-gas models that are archaic as contributions to molecular science sometimes useful, but rarely an attempt to come to grips with molecular problems at a molecular resolution. Nevertheless, quasi-chemical and Bethe theories are probably the most effective approximate physical theories available for those lattice gas problems, and an important goal of our present discussion will be to discover corresponding theories of molecular science, as distinct from lattice gases. 

The mechanical response of viscoelastic materials to mechanical excitation has traditionally been modeled in terms of elastic and viscous components such as springs and dashpots (1-3). The corresponding theory is analogous to the electric circuit theory, which is extensively described in engineering textbooks. In many respects the use of mechanical models plays a didactic role in interpreting the viscoelasticity of materials in the simplest cases. However, it must be emphasized that the representation of the viscoelastic behavior in terms of springs and dashpots does not imply that these elements reflect the molecular mechanisms causing the actual relaxation... 

For smaller I/Iq values, i.e., when rate cf calcareous formation is larger, the d values increase very rapidly. Intuitively, one may suppose that this corresponds to overlapping of calcium carbonate crystals. The dimension d would then give the average distance between areas that remain active, and, therefore, the size o/CaCOa aggregates. However, the corresponding theory is not yet available, and the above interpretation is speculative for the variations of d in the range 0 < Z/Iq < 0.5. 

Minahen, Charles D., Correspondence Theory and the Case of Baudelaire s Sphinx Intertext , Romance Quarterly, 39 (1992), 145-58. 

In Section 2.4.1, we saw how the photovoltage of a photoelectrochemical cell can be maximised. There is, however, a thermodynamic limit, often called the detailed balance limit, on the photovoltage and consequently of the conversion efficiency. Corresponding theories have been pubhshed (Ross and Hsiao, 1977 Ross and Collins, 1980 Bolton et al, 1980). These theories are apphcable for photovoltaic cells as well as for photoelectrolysis ceUs, and yield a lower limit of a recombination rate which cannot be surpassed. The basic concept of the theory is as foUows. At equilibrium in the dark, the recombination fluxp.dark of radiative transitions across any plane in an ideal ceU is equal to the photon flux emitted by unit surface area of a blackbody, i.e. 

The experiments performed by several research groups showed good agreement of theoretical predictions with the experimental data. This is rather encouraging and a little surprising result, keeping in mind that the experiments with simple electrolytes (where a similar effect called ionic vibration potential exists ) produced data that are often not well explained by the corresponding theory. The CVP technique can be applied to concentrated dispersions. 

Crystal-field theory can be defined as an electronic theory of inorganic complexes, which neglects the overlap of electrons associated with the metal, with electrons associated with the ligands. The corresponding theory with overlap not neglected is termed ligand field theory. 

We have no possibility to discuss in more details these experiments on ID structures. Readers interested in the experiments and the corresponding theory are referred to the original publications. 

This paper discusses the basics of this approach and illustrates it with a typical example. First, we will revisit Levi-Civita s regularization of the two-dimensional Kepler motion and introduce sets of orbital elements based on the differential equations of the harmonic oscillator. Then, the corresponding theory for the three-dimensional motion will be developed using a quaternion representation of Kustaanheimo-Stiefel (KS) regularization we present it by means of an elegant new notation. 

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