Starting from a logic which speciies how to make deductions from a set of sentences (a ``at theory'), a way to generalise this to a partially ordered bag of sentences (a `structured theory') is given. The partial order is used to resolve connicts. If occurs below then is accepted only insofar as it does not connict with. We start with a language L, a set of interpretations M and a satisfaction ...

Quantum temporal peculiarities, involving ordinary and weak measurements, are explored. We introduce the foundations of weak measurement and outline some novel theoretical and experimental predictions derived from it. We then show how weak values, which explicitly depend on both forward and backward evolving state-vectors, can serve as important tools for gaining new insights into the nature of...

Power-Recycled Weak-Value-Based Metrology Report Title We improve the precision of the interferometric weak-value-based beam deflection measurement by introducing a power recycling mirror, creating a resonant cavity. This results in all the light exiting to the detector with a large deflection, thus eliminating the inefficiency of the rare postselection. The signal-tonoise ratio of the deflecti...

A new weak measurement procedure is introduced for finite samples which yields accurate weak values that are outside the range of eigenvalues and which do not require an exponentially rare ensemble. This procedure provides a unique advantage in the amplification of small non-random signals by minimizing uncertainties in determining the weak value and by minimizing sample size. This procedure ca...

Avila and Molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures r...

In the title compound, C(26)H(25)NO(6)S, the phenyl ring forms a dihedral angle of 82.5 (1)° with the indole ring system. The mol-ecular structure is stabilized by weak intra-molecular C-H⋯O inter-actions and the crystal structure is stabilized by weak inter-molecular C-H⋯O inter-actions.

In the crystal structure of the title compound, C(9)H(12)N(2)O(3), weak inter-molecular C-H⋯O hydrogen bonds link the mol-ecules into chains. Further weak C-H⋯O hydrogen bonds together with π-π inter-actions [centroid-centroid distance = 3.672 (4) Å] between neighbouring chains lead to a double-chain structure propagating in [100].