15,665 research outputs found
The development of modern Chinese banking
Thesis (M.A.)--Boston UniversityThis study purports to evaluate the relationship between the Chinese modern banking system and the activities or the national economy and to describe the significance of its development on China's peace and war economy. The problem is to be approached by tracing the formation of banking institutions and developments, by investigating the internal organization and practices and by analyzing the influence of Government financial policies. It covers the period from the appearance of the first Chinese-owned modern bank in 1897 to the New Monetary Reform in 1948. The meagerness of data necessarily renders this study far from being complete; the most significant characteristics of the development, however, are to be considered
On Martin's Pointed Tree Theorem
We investigate the reverse mathematics strength of Martin's pointed tree
theorem (MPT) and one of its variants, weak Martin's pointed tree theorem
(wMPT)
Rigidity for F_4(p)
We prove the existence of certain rationally rigid triples in F_4(p) for good
primes p (i.e., p>3), thereby showing that these groups occur as regular Galois
groups over Q(t) and so also over Q. We show that these triples give rise to
rigid triples in the algebraic group and prove that they generate an
interesting subgroup in characteristic 0.Comment: 9 pages. Welcome comment
Quantum Algorithm for Approximating Maximum Independent Sets
We present a quantum algorithm for approximating maximum independent sets of
a graph based on quantum non-Abelian adiabatic mixing in the sub-Hilbert space
of degenerate ground states, which generates quantum annealing in a secondary
Hamiltonian. For both sparse and dense graphs, our quantum algorithm on average
can find an independent set of size very close to , which is the
size of the maximum independent set of a given graph . Numerical results
indicate that an time complexity quantum algorithm is sufficient for
finding an independent set of size . The best classical
approximation algorithm can produce in polynomial time an independent set of
size about half of
Detection of Symmetry Enriched Topological Phases
Topologically ordered systems in the presence of symmetries can exhibit new
structures which are referred to as symmetry enriched topological (SET) phases.
We introduce simple methods to detect the SET order directly from a complete
set of topologically degenerate ground state wave functions. In particular, we
first show how to directly determine the characteristic symmetry
fractionalization of the quasiparticles from the reduced density matrix of the
minimally entangled states. Second, we show how a simple generalization of a
non-local order parameter can be measured to detect SETs. The usefulness of the
proposed approached is demonstrated by examining two concrete model states
which exhibit SET: (i) a spin-1 model on the honeycomb lattice and (ii) the
resonating valence bond state on a kagome lattice. We conclude that the spin-1
model and the RVB state are in the same SET phases
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