Average Cycle Number

Figures 3,20, 3,21 and 3,22 show how the number of cyclic states (Nc), the average cycle length Crmave) and total fraction of states on cycles fc) changes as...

Table 8.9 shows that while the number of attractors increases exponentially, the average cycle length increases rather slowly as a function of N. Random Boolean nets with connectivity one are also generally only moderately stable with respect to minimal perturbations. 

Reynolds number at the minimum spouting velocity time and average cycle time (s) gas velocity and gas velocity at the minimum spouting (ms-1)... 

Fig. 9.18. Dependence of Zr02 film mass and the Zr average coordination number on the number of ALD cycles.

E. Plot the number of plates (TV) versus cycle number from Table 10-2. Also calculate R for the naphthalene-biphenyl pair and plot R versus N. Use an average N value. 

Table IV. Relationship of the Average Cycle Time for n Consecutive Releases ta, and the Number of Releases Between External Mold Release...

As the capacity of the immunosorbent column decreases with increasing cycle number the concentration of the purified protein decreases as the volume in which it is eluted is a function of the column volume. If the concentration of eluted protein is 1 in the first cycle, the average concentration eluted in n = n/2 cycles = 0.75. The average concentration in the second cycle half-life = 0.375 and in the third cycle half-life - 0.1875. As a general rule if the cost of the final isolation is 1 for the first cycle half-life, it will be 1.33 for the second cycle half-life and 1.71 for the third cycle half-life. Regardless of the final process step, the decrease in concentration of eluted protein with cycle number will increase the final isolation costs and must be weighed against the cost of antibody needed to increase column volume and decrease the number of cycles. 

At Kanda Port, the DAVINCH DV45 processed two Yellow bombs per shot with an average cycle time of 150 minutes, or 3.2 shots per 8-hour day. Over a 3.5-month period, 600 bombs were destroyed in 250 shots an average of 2.4 bombs per shot. Assuming a 22-working-day month, the average number of shots per day was 250/(3.5 x 22) = 3.25, consistent with the 150-minute cycle time per shot. 

Resin was sampled daily and the particle size was followed microscopically. Figure 8 is a plot of the 50% by count particle diameter as a function of cycle number. There was no significant change in either average particle size or number of broken beads during the period of pilot plant operation. 

Figure 2 Spectrum of the 7 = 8-7 rotational transition of Xe Cu Cl. The compUcated hyperfine structure arises from nuclear quadrupole interactions of Cu (7cu = 3/2) and C1 (7qi = 3/2). All transitions are spUt into Doppler doublets as a result of the molecular expansion traveling parallel to the microwave cavity axis. For clarity of the picture, the quantum number assignments of only a few hyperfine components are given as Fj -F/, F -F". The angular momentum coupling scheme Fi = Icu + J F = Fi + Iq was used. The compound was produced using laser ablation of a copper rod in a molecular expansion of a mixture of 0.1% CI2, 15% Xe, and 85% Ar. The particular isotopomer was measured in its natural abundance of 6.3%. This spectmm was recorded using 15 000 averaging cycles with a total accumulation time of about 3.5 h...

Redox experiments and ESR determination of Cu2+ were performed with a circulation all-glass apparatus equipped with a magnetically driven pump. The sample (0.2 to 1.0 g) was placed in a silica reactor equipped with a side ESR tube. All the samples before the redox cycles were treated in O2 at 773 K. The redox cycles consisted of (i) heating in He flow at 823 K for 2h, followed by evacuation at 773 K and heating in O2 at 773 K (ii) evacuation at RT followed by reduction with CO at 773 K (iii) evacuation at 773 K followed by a second treatment with O2 at 773 K. During the treatments (i) to (iii), the pressure of O2 or CO was monitored with a pressure transducer (MKS Baratron, sensitivity 1 Pa) until a nearly constant pressure was reached. All these measurements allowed the variation of the average oxidation number of copper to be followed. The acquisition or loss of electrons are expressed as e/Cu (number of electrons/total number of Cu atoms). At the end of treatments (i) to (iii), ESR spectra of Cu2+ species were recorded at RT. ESR measurements were carried out on a Varian E-9 spectrometer equipped with an on line computer. Absolute concentrations of... 

Suppose that stations can fail only when they are working on a part. Let T" be the mean number of cycles station i operates between failures, te the mean downtime of station /, and t be the average cycle time when the line is running and x° = DJ TiT). Then the line consisting just of station / would have efficiency... 

The variation of pore water pressure ratio U = u Ja with number of cycles is presented in Figure 6. Also presented in this figure the variation of, micromechanical parameter, average coordination number with number of cycles. The average coordination number, y= M/N, of the assembly is defined as the ratio of total number of contact points (M) within the assembly volume (F) to the total number of particles (N) in the assembly. Sitharam and Vinod (2008) reported that the pore water pressure slowly builds up with number of cycles due to the application of cyclic... 

Figure 6. Plot of average coordination number with number of cycles at a confining pressure of 25 kPa (Sitharam Vinod, 2008)...

Figure 25.25 shows the discharge profiles after each 100-cycle mn and Table 25.4 displays the corresponding discharge characteristics. Capacity loss after 500 and 1000 cycles is 20.4% and 35.6%, respectively. This corresponds to an average capacity loss rate of0.094% per cycle. Moreover, we found that the cell energy output decreases linearly with cycle number N according to... 

Table 25.4 Discharge Data of LIB Cells Cycled up to 1000 Cycles vs. Cycle Number qa, qcu and d Refer to Discharge Capacity, Discharge Capacity Loss, Average Discharge Voltage and Discharge Energy, Respectively...

Pig. 18. Graphs describing the evolution of damage between 10 and 10 cycles, (a) Craze number density (circles and short dashes) and average craze radius (squares and long dashes) vs cycle number, (b) Damage density (eq. 20) vs number of cycles (56). 

Fig. 8. Effect of PCR cycle numbers on error rates. The average error rate ot DNA molecules that have been amplified trom a single error-tree molecule with PCR using Tag polymerase as a function of number of PCR cycles performed. Figure reproduced from ref. 15.

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