1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in- telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in- dividuals depart from...

1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in- telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in- dividuals depart from this main series, in one way or another and ten such sub-types have been recognized in this study. The range of variation is very considerable.3. The male sex is found to have a greater tendency to lose its pigmentation, and this fact is interpreted as indicating its having a more variable middle band.4. Mating between the different types is entirely at random, the frequency of any given combination is apparently a function of the abundance of the individuals in a given class.5. In describing the elytral pattern of this species, Chevrolat (1845) used these words: "vitta anchorali, cum lienola pone humerum (femina amplioribus); cupreis". He evidently had regarded as typical the pattern showing fullest pigmentation. The present study shows, on the other hand, that such a pat- tern, while most primitive, is not the most representative. The typical pattern is to be sought in Class Ⅳ, the model class. This last remark certainly has wider application and merits the consideration of taxonomists describing highly variable forms.

Wang's theory for determining the approximate configurational partition function of the adsorbed layer is modified in two different ways. One is to assume that the configurational energy should be corrected: the other to advocate that the deficiency due to a wrong expression for the a priori probability of the. central site is more significant.The configurational partition function is evaluated is both methods and the adsorptipn isotherin and the beat of adsorption computed for the case of quadratic lattice...

Wang's theory for determining the approximate configurational partition function of the adsorbed layer is modified in two different ways. One is to assume that the configurational energy should be corrected: the other to advocate that the deficiency due to a wrong expression for the a priori probability of the. central site is more significant.The configurational partition function is evaluated is both methods and the adsorptipn isotherin and the beat of adsorption computed for the case of quadratic lattice With dipole interaction. values for the last two quantities when a uniform continuous distribution of the distant adsorbed particles is assumed are further given for comparison. The second method, which surpasses the first, is compared with Kirkwood's method. in the case of hexagonal lattice with neighbour interaction. Numerical work is also carried out in this case.

The form of quantum theory of reaiation introdnced by Heiaonbarg is diarnaaed from the point of view of the transformation theory of quantum electrodynamics.A general investigation of the connection between Heisenberg's method and Dirac'smethod of variation of parameters is given.The exetension of Heisenberg's methodto eigenvalue problems.which was first carried out by Weissklpf for the self energyof the electron.is presented in such a way as to show more clearly its quantummechanical interpretation.Ageneral...

The form of quantum theory of reaiation introdnced by Heiaonbarg is diarnaaed from the point of view of the transformation theory of quantum electrodynamics.A general investigation of the connection between Heisenberg's method and Dirac'smethod of variation of parameters is given.The exetension of Heisenberg's methodto eigenvalue problems.which was first carried out by Weissklpf for the self energyof the electron.is presented in such a way as to show more clearly its quantummechanical interpretation.Ageneral proof of the equivalence of we jsskopf's me-tbod and the method of the perturbation theory of stationary stntes in quantumicechanics is given.