Was Crocodile stronger at Marineford? Or was he holding back in Alabasta?

 During the Alabasta arc, Crocodile displayed a level of power that was initially considered overwhelming by the Straw Hat Pirates. He possessed the Logia-type Devil Fruit called the Suna Suna no Mi (Sand-Sand Fruit), which granted him the ability to control and transform into sand. He had a reputation as a Shichibukai and controlled the desert kingdom of Alabasta from the shadows. His strength was showcased through his battles with Luffy and others. At Marineford, Crocodile was present as part of the war that took place at Marine Headquarters. While he did participate in the battle, he didn't display the same level of dominance as some other powerful characters present. This has led fans to speculate that he might not have been as strong as initially portrayed in Alabasta. It's important to note that power scaling and character abilities can be subject to interpretation and development by the author. Oda often keeps details deliberately open-ended to keep the story intriguing.

How can the Diophantine equations be applied to Fabian socialism?

 Diophantine equations are mathematical equations that involve the solution of integers (whole numbers) rather than real or complex numbers. They are named after the ancient Greek mathematician Diophantus, who wrote a treatise on the topic in the 3rd century AD.

Fabian socialism is a political ideology that advocates for the gradual and peaceful transition to a socialist society through democratic means, rather than through revolution. It is named after the Fabian Society, a British socialist organization founded in 1884.

It is not clear how Diophantine equations could be applied to Fabian socialism, as the two are unrelated fields of study. Diophantine equations are a mathematical concept, while Fabian socialism is a political ideology. It is possible that someone could use mathematical analysis or modeling techniques to study the potential impacts or implications of Fabian socialist policies, but this would be a separate application of mathematics that is not directly related to Diophantine equations.