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3.5 Comparison of intuition information of non-linear electrochemical fingerprints

It is obvious from Fig. 2 that the inductive and oscillating curves in the non-linear electrochemical fingerprints of Glycyrrhizas from the four producing areas have the alike-gurgitation-change trends, and the whole profiles of the fingerprints are similar. There are significant differences between the non-linear electrochemical fingerprints of Radix Glycyyrrhiza and the other kinds of TCMs, except Radix Astragali and Pericarpium Citri Reticulatae. When the inductive time ≥ 327.2s, the relevant determination dosage of Caulis Erycibes has exceeded its maximum determination dosage, and the oscillation of the non-linear electrochemical reaction system has been restrained completely by the chemical components of Caulis Erycibes, so there is no oscillating curve in the fingerprint [20,21]. By all appearances, though its global similarity degree could not be calculated, it can be confirmed that the TCM is not Glycyrrhiza just by comparing the intuitionistic profiles of the relevant fingerprints. There is a characteristic acuti-peak in the inductive curve of the fingerprint of Semen Lablab Album; the swings of the oscillating curve are smaller; and both its oscillation period and oscillation life are longer. The inductive curve of Caulis Sargentodoxae rises first rapidly then slowly, and then rapidly rises up to the highest potential point, and decreases to the oscillation starting point at last; there is a trend to separate into two parts in the entire oscillation curve. There is a platform in the inductive curve of Ramulus Uncariae Cum Uncis; it needs a longer time to reach the highest potential point, and the period and amplitude of the oscillation is larger; the amplitude decrease rapidly and the oscillation life is short. For Cacumen Platycladi, it also needs a long time to reach the highest potential point, the oscillation amplitude is small, and its oscillation life is short. There is a small potential platform in the inductive curve of Cortex Periplocae, then the potential rises rapidly, the oscillation amplitude is larger and the oscillation life is shorter. The inductive curve of Ramulus Mori rises to the highest potential point first rapidly and then slowly, and drops finally to the oscillation starting point; the amplitude of the oscillation curve decreases faster, and the oscillation life is shorter. There are two peaks in the inductive curve of Herba Leonuri, the first one is sharp, and the second one is round, the oscillation amplitude is larger and oscillation period is longer, and the oscillation life is very long. For distinctly comparing the differences in the fingerprints of Glycyrrhiza and Radix Astragali and Pericarpium Citri Reticulatae, we put the six fingerprints together in the same coordinate system (Fig. 3). As shown in Fig. 3, the peak profiles of the inductive curves of Radix Astragali and Pericarpium Citri Reticulatae are smoother, however, the peak profile of the inductive curve of Glycyrrhiza are sharper; Comparing with Glycyrrhiza, the time necessary to reach the highest potential point is shorter for Radix Astragali, and is longer for Pericarpium Citri Reticulatae; both of the amplitudes of the oscillating curves of Radix Astragali and Pericarpium Citri Reticulatae are larger, however, the oscillating amplitudes of Glycyrrhizas are smaller; the oscillating life of Radix Astragali is longer than Glycyrrhiza, and that of Pericarpium Citri Reticulatae is shorter than Glycyrrhiza.

3.6 Relationship between the intuitionistic feature difference and global similarity degree of non-linear electrochemical fingerprints

According to the above discussion on comparison of intuitionistic information of non-linear electrochemical fingerprints, the profiles of the inductive and oscillating curves in the fingerprints of the Glycyrrhizas from the four producing areas have the alike-gurgitation-change trends, the fingerprints are very similar, and so do the values of all the information parameters. Besides the smaller characteristic differences between the fingerprints of Glycyrrhiza and Radix Astragali, Pericarpium Citri Reticulatae, there are significant differences between those of Glycyrrhiza and the other TCMs. The data in Table 2 shows that the global similarity degrees of the fingerprints of the Glycyrrhizas from the four different producing areas are all above 0.962. However, among the other ten TCMs, though the global similarity degrees of Radix Astragali and Pericarpium Citri Reticulatae are slightly larger, but their values are also only 0.8730 and 0.8585, respectively, and all of the rest similarity degrees are smaller. It indicates that the similarity degrees of a kind of TCMs from different producing areas are all higher and those of different kinds of TCMs are all lower. Combining Fig.s 2 and 3 with Table 2, it can be seen that the values of the global similarity degrees accord with the differences in intuitionistic feature information very well. That is to say, the more significant the characteristic difference between the intuitionistic fingerprints, the smaller the value of the global similarity degree is, and vice versa. Since the global similarity degree is superior to Euclidean distance and much more superior to the other methods for evaluating the similarity degree of the fingerprints at this aspect, so the global similarity degree may be chosen to quantitatively evaluate the similarities of the non-linear electrochemical fingerprints of TCMs.

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