Let G be a semisimple compact connected Lie group. An N-fold reduced product of is the symplectic quotient Hamiltonian system Cartesian N coadjoint orbits under diagonal action G. Under appropriate assumptions, it orbifold. Using technique nonabelian localization and residue formula Jeffrey Kirwan, we investigate volume an Suzuki Takakura gave for $$ \mathbf {SU}(3) in [25] by using geometric q...

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

Abstract Coherence is one of the limiting factors in off-axis electron holography applications. This paper reports methods to improve coherence ∼18-fold by using a smaller biprism and implementing direct counting camera (K-camera) combination with an imaging filter system. We achieved 0.4 nm fringe spacing 1.5 μm field-of-view ∼33% contrast. The maximum number, N′, ∼1.8 × 103 was achieved, wher...