The AdS/CFT correspondence has long been used as a tool for understanding non-perturbative phenomena in gauge theories because it is an example of a 'strong-weak' duality: when one side of the duality is weakly coupled, the other is strongly coupled and vice-versa. Hence strongly coupled phenomena can be studied by looking at the weakly coupled side of the duality. In its original form the corr...

For weakly regular bent functions in odd characteristic the dual function is also bent. We analyse a recently introduced construction of nonweakly regular bent functions and show conditions under which their dual is bent as well. This leads to the definition of the class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass. We analyse self-duality fo...

Propounding a general categorical framework for the extension of dualities, we present new proof de Vries Duality Theorem category KHaus compact Hausdorff spaces and their continuous maps, as an restricted Stone duality. Then, applying dualization to duality, give alternative duality Tych Tychonoff that was provided by Bezhanishvili, Morandi Olberding. In process doing so, obtain theorems both ...