The focal ratio theorem of the conical curve was a theorem related to the polar coordinate equation of the conical curve. According to the given polar coordinate equation of the conical curve, p =ep/(1-e* cos0), and the straight line, 0 =c or 0 = Pi +c, where c is a constant, the focal ratio theorem can be derived as:| 1-e*cosc)/(1+e*cosc)|。The specific derivation process is as follows: Consider the intersection of the conical curve and the straight line. The coordinates of the intersection are (ep/(1-e*cosc), c) and (ep/(1+e*cosc), Pi +c). According to the definition of focal radius, the focal radius length was the distance from the focal point to the intersection point. Therefore, the ratio of focal radius to length is| 1-e*cosc)/(1+e*cosc)|。This was the derivation process of the focal ratio theorem for conical curves.
I'm not sure which 'hoppers' you specifically mean. There could be many things named hoppers, like grasshoppers, which have a back story in the context of evolution, starting from simple insects and evolving over time to adapt to various environments. But if it's something else like a machine called hoppers, more context is needed.
Silo novels are novels related to silos. It could be about the life within a silo, perhaps a silo used for storage in a rural area and the stories of the people associated with it. Maybe it's about a family that owns a silo and the various events that happen around it, like a mystery involving something stored in the silo.
I'm not entirely sure which specific 'The Hoppers: This is the Christmas Story' you are referring to. It could be a story about a group called The Hoppers during Christmas. Maybe it's about their Christmas traditions, like how they celebrate, the special things they do, or it could be a fictional story with characters named The Hoppers and their Christmas - related adventures.
Well, silo fan fiction is basically when fans of the 'Silo' concept or story write their own stories related to it. They might be inspired by the unique setting of the silo, the mystery within it, and the characters' struggles. For example, a fan might write a story about a character's backstory that was only hinted at in the original. It allows fans to expand on the existing universe and put their own creative spin on things.
In a more symbolic sense, the concept of a silo can represent isolation or containment. For instance, in a business context, when departments are described as 'working in silos', it means they operate independently without much communication with other departments. This can have both positive and negative impacts on the overall functioning of an organization. If departments are too siloed, it can lead to inefficiencies and lack of innovation as ideas don't cross - pollinate. However, in some cases, a certain level of siloing can be beneficial for focused work within a particular area.
A silo based on novel might be a silo that is described in a very specific way in a novel. It could be a physical silo, like a grain silo on a farm in a rural - themed novel. Or it could be a more symbolic silo, representing isolation or containment in the context of the story's themes and characters.