In this paper, we establish the following two results: (1) a skew translation generalized quadrangle of even order is quadrangle, (2) does not admit point regular group automorphisms. The first result confirms conjecture Payne (1975) based on earlier work Ott (2021), and second Ghinelli (1992).

Recently Chung and Hassanabadi proposed a higher order general uncertainty principle (GUP?) that predicts minimal length as well possesses upper bound momentum limit. In this article, we have discussed an ideal gas system its thermal properties using deformed canonical algebra introduced by them. Moreover, examined blackbody radiation spectrum the cosmological constant in presence of GUP?. Afte...

We show that the well-known formula by Ackermann and Utkin can be generalized to the case of higher-order sliding modes. By interpreting the eigenvalue assignment of the sliding dynamics as a zero-placement problem, the generalization becomes straightforward and the proof is greatly simplified. The generalized formula retains the simplicity of the original one while allowing to construct the sl...