# EDSQ Operator on 2DS and Limit Behavior

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## Abstract

**:**

## 1. Introduction

## 2. Methods

**Definition**

**1:**

**Definition**

**2:**

**Definition**

**3:**

**Definition**

**4:**

**Definition**

**5:**

**Definition**

**6:**

- a.
- ${p}_{ij,k}=0or\frac{1}{2}or1;$
- b.
- ${p}_{ii,k}=0or1;$

**Definition**

**7:**

**Definition**

**8:**

**Definition**

**9:**

**Definition**

**10:**

**Definition**

**11:**

## 3. Theoretical Result

**Theorem**

**1:**

**Proof:**

## 4. Discussion and Numerical Solution

## 5. Conclusion and Future Work

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## Appendix A. The EDSQOs on 2DS

## References

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**Figure 1.**Limit behavior of permuted operators of V1, V2, and V3 for Extreme Doubly Stochastic Quadratic Operator (EDSQO) on two-dimensional simplex (2DS).

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**MDPI and ACS Style**

Abdulghafor, R.; Almohamedh, H.; Almutairi, B.; Wani, S.; Alharbi, A.; Almutairi, S.S.; Almotairi, S.
EDSQ Operator on 2DS and Limit Behavior. *Symmetry* **2020**, *12*, 820.
https://doi.org/10.3390/sym12050820

**AMA Style**

Abdulghafor R, Almohamedh H, Almutairi B, Wani S, Alharbi A, Almutairi SS, Almotairi S.
EDSQ Operator on 2DS and Limit Behavior. *Symmetry*. 2020; 12(5):820.
https://doi.org/10.3390/sym12050820

**Chicago/Turabian Style**

Abdulghafor, Rawad, Hamad Almohamedh, Badr Almutairi, Sharyar Wani, Abdullah Alharbi, Sulaiman Sulmi Almutairi, and Sultan Almotairi.
2020. "EDSQ Operator on 2DS and Limit Behavior" *Symmetry* 12, no. 5: 820.
https://doi.org/10.3390/sym12050820