# Writing, Proofreading and Editing in Information Theory

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## Abstract

**:**

## 1. Introduction

## 2. Analysis

**Definition**(Correctness)

**Condition 1**(Effective editing necessary and sufficient condition).

**Condition 2**(Effective proofreading necessary and sufficient condition).

**Corollary 1**(Effective editing necessary condition and effective proofreading sufficient condition).

**Corollary 2**(Ineffective editing sufficient condition and ineffective proofreading necessary condition).

## 3. Application: Copying

## 4. Conclusions

## Supplementary Materials

## Author Contributions

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**Correctness as a function of the number of errors. Both axes in the graphs are scaled to the number of memory units (n). The stability contrast between correct and wrong insertions is fixed to $\xi =R$. The memory is modeled by a power law correlation between each incorporated symbol and the previous ones with exponent parameter $\alpha $ (Supplementary Materials). The curves show trends for individual realizations of a copying process for several $\alpha $, subjected to either positive or negative feedback ($(+)$ or $(-)$ in the legends), for $n=10$ (

**a**), and $n=100$ or 1000 (

**b**).

**Figure 2.**Entropy difference per memory unit as a function of the stability contrast between correct and wrong insertions. The memory is modeled by establishing a power law correlation between each incorporated symbol and the previous ones (Supplementary Materials). The curves show the behavior of $\Delta H={H}^{\left(r\right)}-{H}^{\left(w\right)}$ for several chain lengths (n) and coupling strengths ($\alpha $). (

**a**) Positive feedback; (

**b**) negative feedback.

**Figure 3.**The same as in Figure 2 for the correctness potential difference per unit memory. (

**a**) Positive feedback; (

**b**) negative feedback.

**Figure 4.**The same as in Figure 2 for the edition potential difference per unit memory. (

**a**) Positive feedback; (

**b**) negative feedback.

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**MDPI and ACS Style**

Arias-Gonzalez, J. R.
Writing, Proofreading and Editing in Information Theory. *Entropy* **2018**, *20*, 368.
https://doi.org/10.3390/e20050368

**AMA Style**

Arias-Gonzalez JR.
Writing, Proofreading and Editing in Information Theory. *Entropy*. 2018; 20(5):368.
https://doi.org/10.3390/e20050368

**Chicago/Turabian Style**

Arias-Gonzalez, J. Ricardo.
2018. "Writing, Proofreading and Editing in Information Theory" *Entropy* 20, no. 5: 368.
https://doi.org/10.3390/e20050368