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Abstract There is a problem related to knowing the real factor that effects on distributing the pyramids over such territory. The thesis proposes a new theorem entitled ”Royal Pyramids Linearity” to provide a more generalize factor used by the majority of the ancient kings to locate their pyramids. The theorem was developed based on an assumption of the existence of linear alignment among the royal pyramids. The theorem was proved mathematically through the construction of a mathematical optimization model. The used model combined between the regression analysis, hypothesis testing and mathematical programming while it was solved using Zero One Implicit Enumeration algorithm. |