In this paper it is proved that the regular graphs under some conditions do have an ascending sub-graph decomposition.

In this paper, some sufficient conditions related to the connectivity and edge-connectivity for a bipartite (mg,mf)-graph to have a (g,f)-factor with special properties are obtained and some previous results are generalized.

Pre-spray (PS) strategy, which means supplying highly pressurized air into the exhaust manifold two seconds before the accelerating-graph begins to rise and stopping spraying air when the accelerating-graph stops rising.

The conjecture of zero domination of 0-cyclic monotone graphs is proved (anr-cyclic graph is a cyclic monotone (s, t)-graph exactlyr minimal paths of which have cycles).

Penrose mosaic as a quasistochastic tree-graph lattice

Emission and absorption band spectra of sulphur dioxide were studied in the region between 2600 to 2000 A.U. A new system of emission bands (about 150 bands) was found. When these bands were compared with the absorption bands and Mr. Lotmar's fluorescent bands, coincidences were found which amount to 40% and 50% of the total number of absorption and fluorescent bands respectively. These agreements and the very different structure as compared with the SO bands recorded on the same plate made it very probable...

Emission and absorption band spectra of sulphur dioxide were studied in the region between 2600 to 2000 A.U. A new system of emission bands (about 150 bands) was found. When these bands were compared with the absorption bands and Mr. Lotmar's fluorescent bands, coincidences were found which amount to 40% and 50% of the total number of absorption and fluorescent bands respectively. These agreements and the very different structure as compared with the SO bands recorded on the same plate made it very probable that SO2, is the emitter of these emission bands. Evidences were also found that these emission bands arc not the known bands of O2, Oa+ and S2 in the same region. As a further support a vibra-tional level scheme was worked out, using the three fundamental frequencies of the normal SO2, molecule (1150, 525, and 1360 cm-1) in the lower state and 750 and 350 cm-1 (possible also 1110 cm-1) as the frequencies in the upper state. This scheme accounts for 1Q% of the absorption bands, 70% of the emission bands and a small fraction of the fluorescent bands. While the scheme may not be the final due to the complexity of the vibrational formula, one feels fair, as far as the present evidence goes, to conclude that the emission bands observed are actually emitted by the SO2, molecules and that they can be fitted by a vibrational level scheme based on the three known fundamental frequencies of the normal state.

Formulas are derived for the solution of the transient currents of dissipative low-pass T-type electric wave filters. Oscillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest frequency...

Formulas are derived for the solution of the transient currents of dissipative low-pass T-type electric wave filters. Oscillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with results calculated from these formulas. From these calculations, the following conclusions are derived. When terminating resistance is gradually increased from O, the damping constants of the sine terms begin to differ from each other, ranging in decreasing magnitude from term of the lowest frequency to the last term of cut-off frequency. Hence the transient is ultimately of the cut-off frequency. At cut-off frequency, this constant is near to but greater than R/2L. For each increase of section, there is introduced an additional sine term with smaller damping constant. Therefore transients die out faster in filters of smaller number of sections. Since transient amplitudes are of the same order of magnitude before and after cut-off, filtering property only exists in the steady states.

Formulas are derived for the solution of the transient currents of resistance-terminated dissipative π-type low-pass, T- and π-type high-pass electric wave filters. Oseillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with the results calculated from these formulas. From these calculations, the following conclusions are derived: (1) When the terminating resistance is gradually increased from 0, the damping constants of the damped sine terms begin to differ greatly from each...

Formulas are derived for the solution of the transient currents of resistance-terminated dissipative π-type low-pass, T- and π-type high-pass electric wave filters. Oseillograms taken by cathode ray oscillograph for d-c. and a-c. cases are found to agree with the results calculated from these formulas. From these calculations, the following conclusions are derived: (1) When the terminating resistance is gradually increased from 0, the damping constants of the damped sine terms begin to differ greatly from each other, ranging in decreasing magnitudes from the first damped sine term to the last term of cut-off frequency. Hence the transient is ultimately of the cut-off frequency. At the cut-off frequency, this constant is greater than the corresponding constant (R/2L) when the termination is absent. (2) For each increase of one section, there is introduced an additional damped sine term with smaller damping constants. Therefore transients die out faster in filters of small no. of sections. (3) With the same network constants, the damping constants of π-type filters are greater than the corresponding values of T-type filters. As a result, transients die out faster in π-type filters. (4) The amplitudes of the transient terms in the attenuation and transmission ranges are of the same order of magnitude, and the filtering property only exists in the steady states. (5) The cut-off frequency of the π-type filters varies with the no. of sections used. When only two sections of low, or, high-pass filter are used, the variation amounts to nearly 26 per cent from the theoretical value.