You know, um, we obviously understand that we're kind of uniquely positioned geographically. And so that's probably for me, a lot of ways, the most significant in the, in the symbolism because it really is the tip of the hat to those that came before us and, uh, endured some really lean years, um, really, as you look back over our school's record almost through the first decade, um, of the school reinstituting football, um, there weren't very many wins, um, but there was a ton of perseverance and a lot of support from our community to really kind of lay a foundation that we've, we've been able to build on how cool was it to be able to do this here at carter Finley Stadium where you guys won the title. Um, and then, um, I think maybe one of the coolest elements is, um, the number of stones that they were able to fit in the ring itself, um, representing the number of wins that our program has since it was re instituted in 1992. Um, we've got the score of the state championship game in there. And then on the other side we've got of the, of the ring itself, we've got um chain links, we give out a chain link for each win and so we've got a chain link on the other side of the ring, um, to represent each win. And then what we did was we put 25 raindrops on there for the 25 seniors um that are represented within the ring. Um a picture of carter Findley where obviously the state championship game took place um and then along with that rain drops, which certainly symbolized the night in a lot of ways, but I told the guys, you know, it was, you know, the blessing of the, of the weather that we endured, obviously a reminder of that, but also the blessing of God, you know, that um that we have been able to enjoy throughout the season. Um It was our first time ever designing a football state championship ring and my first time um ever participating in a state championship type of um event where we won and you know, had the opportunity to make a ring and um and so there were some things that we wanted to pull into it, They had some great ideas and um and so it really turned out, um I think better than I even anticipated. Can you kind of walk us through that process and what you came up with how you came up with it? Yeah, well, you know, first I want to thank rob CASS and southern recognition because they were huge in helping us kind of pull this together. In the present paper, the notion of an antimonotone poset is introduced, and a criterion for a poset to be antimonotone is presented under the assumption that the quadratic form ∑ s i ≤s j x i x j (S=)\), with a contractive matrix K.Coach a lot went into the design of this ring. From the work of Zeldich, Sapelkin, and the authors it follows that the P-faithful posets are cardinal sums of r-sets, i.e., they are wattles of a special type (chains can be regarded as a partial case of r-sets). A poset S is said to be P-faithful if P(S ' ) Representations of partially ordered sets (posets) and quivers are an important part of the theory of matrix problems and algebra representations.
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