we start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{cambat}. as in cite{cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{n}$, where such weak higher $n$-transformations are seen as algebras for specific contractible higher operads. the last chapter of this article asserts that, up to precise...

In the title compound, C(11)H(10)N(2)O, the butane-dinitrile unit adopts a synclinal conformation. The crystal packing is stabilized by weak inter-molecular C-H⋯N hydrogen bonding.

The asymmetric unit of the title compound, C(7)H(7)BrIN, contains two independent mol-ecules, which are linked by weak N-H⋯N hydro-den-bonding inter-actions between the amino groups.

The asymmetric unit of the title compound, C(25)H(25)NO(2), contains two independent mol-ecules. The crystal packing exhibits weak inter-molecular C-H⋯O, C-H⋯π and π-π inter-actions.

The title compound, C(6)HCl(6)N, lies on a mirror plane, the asymmetric unit conataining a half-mol-ecule. Weak intra-molecular C-H⋯Cl contacts are observed.

The asymmetric unit of the title compound, C(25)H(22)P(+)·ClO(4) (-), contains two independent cations and two independent anions. The closest inter-molecular contact is a weak inter-molecular C-H⋯π(arene) inter-action.

The asymmetric unit of the title compound, C(10)H(18)N(2)O(6), contains two halves of two independent centrosymmetric mol-ecules with almost identical conformations. Weak inter-molecular C-H⋯O hydrogen bonds consolidate the crystal packing.

The asymmetric unit of the title compound, C(17)H(24)N(2)O, contains three independent mol-ecules. In the crystal, mol-ecules are linked by weak N-H⋯O hydrogen bonds into chains parallel to the c axis.

We demonstrate an experiment which utilizes a Sagnac interferometer to measure a change in optical frequency of 129 ± 7 kHz/√Hz with only 2 mW of continuous-wave, single-mode input power. We describe the measurement of a weak value and show how even higher-frequency sensitivities may be obtained over a bandwidth of several nanometers. This technique has many possible applications, such as preci...

Process Rewrite Systems (PRS) are widely accepted as a formalism for the description of infinite-state systems. It is known that the reachability problem for PRS is decidable. The problem becomes undecidable when PRS are extended with a finitestate control unit. In this paper we show that the problem remains decidable when PRS are extended with a weak (i.e. acyclic except for self-loops) finite...