Some Remarks on Noncommutative Instantons

We make some comments on noncommutative $U(N)$-instantons on $\mathbb{R}^4_{\theta}$. We elaborate on the equations for the ASD-connection for free modules. Further we make some remarks on the computation of the topological index of ADHM instantons.Comment: 13 page

Is Rust C++-fast? Benchmarking System Languages on Everyday Routines

Rust is a relatively new system programming language that has been experiencing a rapid adoption in the past 10 years. Rust incorporates a memory ownership model enforced at a compile time. Since this model involves zero runtime overhead, programs written in Rust are not only memory-safe but also fast, leading to performance comparable to C and C++. Multiple existing benchmarks comparing the performance of Rust with other languages focus on rarely used superficial algorithms, leading to somewhat inconclusive results. In this work, we conduct a comparative performance benchmark of Rust and C++ using commonly used algorithms and data structures rather than exotic ones. Our evaluation shows that the overall performance of Rust is similar to C++, with only minor disadvantage. We also demonstrate that in some Rust routines are slightly faster than the ones of C++.Comment: Michigan State Universit

The Evolution of Bulgarian Banks' Efficiency During the Twenties: A Dea Approach

This paper studies the dynamics of the bank efficiency in Bulgaria in the years 1923 and 1928. In the course of research several interdependencies were detected, related mainly to the reaction of different types of banks to the financial crisis and the financial stabilization. Official bank balance sheets were used as well as the profit and loss statements of 50 Bulgarian credit institutions. After their classification into subgroups different variations of DEA (data envelopment analysis), in particular the intermediation approach, were applied to the banks’ financial positions. The DEA overcomes several deficiencies in the traditional accounting measurement of bank efficiency, which has made it very popular in latest literature. To our knowledge this method has not been applied so far to historical data.Bulgarian monetary history; Banking system; Âanking efficiency; DEA modelling.