Abstract: An apparatus comprising a first substrate comprising a nanostructured surface, thereby forming an optical metasurface; a mirror formed on a second substrate; and a mechanism arranged to move the first and second substrates relative to one another. The mechanism alters a separation between the first and second substrates between a first separation distance and at least a second separation distance. At the first separation distance the optical metasurface performs a first manipulation of incident light and at the second separation distance the optical metasurface does not perform the first manipulation of incident light. An optical system and a method are also described.

Abstract: The present invention relates to iron and manganese complexes based on hexadentate ligand systems containing one carboxylato donor and five nitrogen donor atoms and to their use in methods for the catalysis of the oxidation of organic substrates. The manganese complexes of the invention also may be used as (pro)-catalysts in methods for the catalysis of water.

Abstract: A method of simplifying a combinational circuit establishes an initial combinational circuit operable to calculate a set of target signals. A quantity of multiplication operations performed in a first portion of the initial combinational circuit is reduced to create a first, simplified combinational circuit. The first portion includes only multiplication operations and addition operations. A quantity of addition operations performed in a second portion of the first, simplified combinational circuit is reduced to create a second, simplified combinational circuit. The second portion includes only addition operations. Also, the second, simplified combinational circuit is operable to calculate the target signals using fewer operations than the initial combinational circuit.

Abstract: A method of simplifying a combinational circuit establishes an initial combinational circuit operable to calculate a set of target signals. A quantity of multiplication operations performed in a first portion of the initial combinational circuit is reduced to create a first, simplified combinational circuit. The first portion includes only multiplication operations and addition operations. A quantity of addition operations performed in a second portion of the first, simplified combinational circuit is reduced to create a second, simplified combinational circuit. The second portion includes only addition operations. Also, the second, simplified combinational circuit is operable to calculate the target signals using fewer operations than the initial combinational circuit.

Abstract: Monodisperse polymer microparticles comprising polystyrene or polyacrylate, wherein said particles have a coating formed of at least one transition metal oxide or porous polymer microparticles comprising polystyrene or polyacrylate, wherein said particles have a coating formed of at least one transition metal oxide.