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The mapping problem is basically a many-to-one mapping, i.e., we want to map many versions of distorted speech coefficients that are different due to reverberation and noise characteristics to the same underlaying clean speech coefficients.

The scrambling process introduces many non-zero high frequency coefficients that attract hidden data, thus reducing the amount of loss in PSNR as compared to the silhouette and in-painted schemes.

"It deals with the dialectics of scattered and shapeless coefficients that cannot be seen, but have an intrinsic need of existence, of being, and nothing more.

Note, however, that even if many coefficients are null as in the above described situation, due to the random noise, the estimates a ˆ ( m ) have non-zero coordinates almost surely.

This problem is not particularly acute because presentation of the full model documents how many coefficients were estimated and the proportion of estimates that attained significance.

The correlation matrix revealed many coefficients above 0.3.

The chapter then advances into a description of the formal techniques that can be used to calculate virality, either through a high-level, "global" coefficient that describes the degree to which the entire user base grows through viral channels, or by an individual coefficient that describes how many users each user, on average, can be expected to introduce to the product.

In comparison to the research to obtain the carbon dioxide diffusion coefficient, there are not many researches that obtain the reaction rate constant and calcium hydroxide diffusion coefficient.

Among metabolites whose concentrations were not affected by temperature, we found many pairs that showed changes in correlation coefficients between temperature treatments.

There are many single factors that affect fault sealing in response to tectonic evolution, so that the weighting coefficients of the single factors are different.

The analysis of regression coefficients suggested that many ALDH family members had positive association with the toxicity.

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