Time diagram

A temperature-time diagram is shown on Figure 2.1.3 on the next page. 

Figure 1,8, for example, plots the probability that a cell has value 1 at time t4-l - labeled Pt+i - versus the probability that a cell had value 1 at time t -labeled Pt - for a particular four dimensional cellular automaton rule. The rule itself is unimportant, as there are many rules that display essentially the same kind of behavior. The point is that while the behavior of this rule is locally featureless - its space-time diagram would look like noise on a television screen - the global density of cells with value 1 jumps around in quasi-periodic fashion. We emphasize that this quasi-periodicity is a global property of the system, and that no evidence for this kind of behavior is apparent in the local dynamics. 

Figs 5.4-34 to 5.4-37 show results of the measurements and calculations. In Figs 5.4-34 and 5.4-35 the results of temperature and heat flow measurements are shown. Isothermal operation was quite easy to reach due to the relatively low heat of reaction and the high value of the product of the heat-transfer coefficient and the heat-exchange surface area Art/ in relation to the volume of the reaction mixture. Peaks in the heat flow-versus-time diagram correspond to the times at which isothermal operation at the next temperature level started. After each peaks the heat flow decreased because of the decrease in the concentrations of the reactants. 

In 1944 Ellingham compiled, for the first time, diagrams depicting the temperature dependence of the standard free energies of formation of numerous oxides and sulphides. In the discussion presented here, attention will be confined to the oxide reaction... 

Fig. 4.2.3 PGSE timing diagram where Gz denotes both the slice select and the pulsed, sinusoidal shaped displacement encoding gradient and Greacj displays the transverse imaging gradient.

FIGURE 5.11 Timing diagram for comprehensive 2DLC with either a two-position valve (hottom) or four-position valve (top). Repetitive sampling of the first dimension at each time (7i, T2, T3, T4, ,) results in an injection onto the second-dimension column. 

Fig. 9.3 Entropy-time diagram of an evolution process. If a negative fluctuation of the internal entropy production o occurs in a system, the controlling stationary state is terminated. An instability occurs, starting from which a new stable state is taken up. The change in the internal entropy is always negative (5Si < 0). The new stationary state has a lower entropy, i.e., the order of the system is increased (Eigen, 1971a, b)...

Figure 9 Timing diagram of the BIRD-HMBC pulse sequence for the detection of nJch correlations, including an additional two-step low-pass J filter. Thin and thick bars represent 90° and 180° pulses, respectively. 13C180° pulses are replaced by 90°y — 180°x — 90°y composite pulses. <5 is set to 0.5/(Vch) and A is set to 0.5/("JCH). Phases are cycled as follows fa = y, y, —y, —y 4>j = x, —x fa — 8(x), 8(—x) fa = 4(x), 4(— x) ( rec = 2 (x, — x), 4(—x, x), 2(x, —x). Phases not shown are along the x-axis. Gradient pulses are represented by filled half-ellipses denoted by Gi-G3. They should be applied in the ratio 50 30 40.1.

Figure 13 Timing diagram for the clean HMBC experiment with an initial second-order and terminal adiabatic low-pass 7-filter.42,43 The recommended delays for the filters are the same than for a third-order low-pass J filter. <5 and 8 are gradient delays, where 8 — <5 + accounts for the delay of the first point in the 13C dimension. The integral over each gradient pulse G, is H/2yc times the integral over gradient G2 in order to achieve coherence selection. The recommended phase cycle is c/)n = x, x, x, x 3 — 4(x), 4(y), 4( x), 4(—y) with the receiver phase c/)REC = x, x.

Figure 20 Timing diagram of the suggested 2y,3y-HMBC experiment, including a LPJF3 for efficient 1JCH suppression. The sequence is virtually identical to the CIGAR-HMBC pulse sequence. The STAR operator is also a constant-time variable element. In this fashion, scalable F, modulation can be specifically introduced for 2JCH cross-peaks into the spectrum independently of the digitization employed in the second frequency domain.

Figure 2, Cross-polarization timing diagram ( see text for discussion), (Reproduced with permission from Ref, 40, Copyright 1982, Royal Society of London,)...

Carefully determined conversion-time diagrams, in-situ spectroscopic studies and, if possible, kinetic time laws belong to the fundamentals of catalysis research and are prerequisites for a mechanistic understanding [8]. 

Omura M, Hashimoto K, Ohta K, et al. 1990. Relative retention time diagram as a useful tool for gas chromatographic analysis and electron-capture detection of pesticides. J Assoc Off Anal Chem 73(2) 300-306. 

The timing diagrams of the thermally balanced NP and PP sequences are shown in Fig. 27. Comparing them with those of the corresponding unbalanced sequences, one notices immediately the price to be paid for the improved thermal performance consisting in an increased duration of each cycle (particularly those with small x values) which makes the experiments longer by a factor of about 2. 

In the tests conducted by Lundborg, an expl sample (TNT or other HE) was placed against an A1 barrier, as shown in Fig 2, p 433 of Ref 6 and reproduced here. The donor was pressed TNT of pQ = 1.55 g/cc. This Fig also shows the pressure-time diagram for donor and sample of pressed TNT, 21 mm in diam 25 mm long, and an Al-barrier 21mm in diam at the critical length of 21 mm. The pressure was not constant but fell rapidly with the time. 

Radius-time diagram of the formation of shock waves by the detonation of a spherical charge, log (1 / x) scale Fig 37... 

In Appendix I, Lutzky stated that it is instructive to display the Taylor Wave in the form of a space-time diagram (See Fig 1). Since all of the dependent variables are functions only of the quantity r/t, as was shown by Taylor (where r is distance and t is time), constant values of these variables are propagated along straight lines in the (r-t) plane, fanning out from the origin. 

This space-time diagram resembles the analogous space-time diagram for the case of a linear detonation shock (shown in Ref 2, p 5), except that there is one difference between the two cases. In the linear case, there is a simple wave in the fan-like region, which means that each radial line is a characteristic line and for each radial line,... 

FIGJ SPACE - TIME DIAGRAM OF THE SPHERICAL TAYLOR WAVE... 

During the passage of the shock front, the foils were carried along by the products of detonation. The radio-graphic observation of their position at different known instants allowed the construction of their path versus time diagram... 

A root velocity can be defined as the rate of advance of a given value of an H function root. For any given composition, roots with lower index numbers have lower velocities. An arbitrary initial noncoherent boundary involving variations of all roots thus is resolved, upon undisturbed development, into separate variations of the roots. This is shown by schematic trajectories of root values in a distance-time diagram in Figure 6. After resolution, each trajectory bundle involves variation of... 

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