Division (mathematics)

About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.

Reconfigurable circuit having a pipeline structure for carrying out time division multiple processing

Abstract: The reconfigurable circuit of the present invention in which time division multiple processing is possible has a pipeline structure with the number of stages of an integral multiple of a given number, and comprises a plurality of processor elements having a processing unit whose configuration is variable according to first configuration data to be supplied, a network in which all inputs and outputs of a plurality of said processor elements are connected and which transfers data by one clock between the input and output according to second configuration data to be supplied, and a switching unit which cyclically switches by one clock and supplies the first and second configuration data prepared for the given number of tasks to each of the processing units.

Super poincaré groups and division algebras

Abstract: The Super Poincare Groups in d = 3, 4, 6 and 10 are represented by graded matrices over the four division algebras. It is shown that classical superstring actions can be written in the same dimensions in terms of the supergroup elements. Possible applications are discussed.

Arbitrary Multiplication and Division of the Orbital Angular Momentum of Light.

Abstract: Multiplication and division of the orbital angular momentum (OAM) of light are important functions in the exploitation of the OAM mode space for such purposes as high-dimensional quantum information encoding and mode division multiplexed optical communications. These operations are possible with optical transformations that reshape optical wave fronts according to azimuthal scaling. However, schemes proposed thus far have been limited to OAM multiplication by integer factors and require complex beam-copying or multitransformation diffraction stages; a result of the limited phase excursion 2πl around the annulus of an OAM state exp(ilθ). Based on the key idea that the phase excursion along spirals in the transverse plane of a vortex is theoretically unlimited, we propose and experimentally demonstrate a simple yet effective scheme using an azimuth-scaling spiral transformation that can accomplish both OAM multiplication and division by arbitrary rational factors in a single stage.