An FPGA configured for computation of an N.times.N discrete Fourier transform (DFT) using polynomial transforms defined in modified rings of transforms, comprising a first buffer for ordering a set of polynomial data in a two dimensional matrix, a multiplier for multiplying each element of the two dimensional matrix by .omega..sup.-n.sbsp.2 (where .omega.=e.sup.-j.pi./N, e is a constant (ln(e)=1), j=.sqroot.-1, n.sub.2 =the column index number in the matrix, and N=the transform length) to produc...

A multibeam structure measures displacement of one or more response elements to detect multiple components of applied force. The flexible beams are each coupled to a response element which may be displaced by a force arising from linear acceleration, angular acceleration, fluid flow, electric/magnetic/gravitational fields, and other sources. The displacement of the response element is detected with a variety of sensing methods including capacitive and piezoresistive sensing.

A multibeam structure measures displacement of one or more response elements to detect multiple components of applied force. The flexible beams are each coupled to a response element which may be displaced by a force arising from linear acceleration, angular acceleration, fluid flow, electric/magnetic/gravitational fields, and others sources. The displacement of the response element is detected with a variety of sensing methods including capacitive and piezoresistive sensing.

A multibeam structure measures displacement of one or more response elements to detect multiple components of applied force. The flexible beams are each coupled to a response element which may be displaced by a force arising from linear acceleration, angular acceleration, fluid flow, electric/magnetic/gravitational fields, and others sources. The displacement of the response element is detected with a variety of sensing methods including capacitive and piezoresistive sensing.

The solvent resistance of polyethersulfone oligomers is enhanced by using difunctional imidophenol end-cap monomers to provide improved crosslinking. The imidophenol monomers include two unsaturated functionalities capable of cross-linking upon thermal or chemical activation. Blends, pregregs, and composites using the novel end caps are described for linear or multidimensional polyethersulfone oligomers.

A device is provided which allows multidimensional information signals concerning coordinates, directions and the like of an object to be input to a CPU exactly as intended by an operator on a non-contact basis, and without restrictions on the place where it is used. Angular velocity detectors (4), (5), and (6) are provided on the X-axis, Y-axis, and Z-axis, orthogonal to each other of an operation unit which is shaped to be easily gripped by an operator or to be mounted on an articulation, shou...

An on-line multidimensional system which includes a liquid chromatograph having an on-line connection to a pyrolysis probe, which in turn has on-line connection to a gas chromatograph. Preferred applications use a size-exclusion chromatograph coupled to a pyrolysis probe coupled to a gas chromatograph to simultaneously produce composition as a function of molecular weight/size information for polymeric materials.

In order to display the value of a multivariable function at at least one point around an arbitrary point which exists in a multidimensional space defined as a domain of the multivariable function, a display plane is divided into a plurality of regions, the plurality of regions are brought into correspondence with a plurality of quadrants which have the arbitrary point in the multidimensional space as a common vertex, respectively, and the value of the multivariable function at a point on the qu...

Linear or multidimensional, crosslinking, solvent resistant oxazole, thiazole, or imidazole (i.e., heterocycle) oligomers and blends of the crosslinking oligomers and noncrosslinking comparable polymers are described. The oligomers are prepared by reacting tetraamines, diaminodiols, or diaminothiols (i.e. four-functional compounds) with poly-carboxylic acid halides, and crosslinking phenylimide end cap monomers in a suitable solvent under an inert atmosphere.

A multidimensional mouse of computers includes a Z-axis key pivotally connected to the mouse by a pivot and defines two ends spaced from each other by the pivot. Two elastic loads respectively installed inside the mouse and a corresponding one of the two elastic loads is deformed in response to a manual depression on one of the two ends of the Z-axis key, thus allowing an electrical contact to occur inside the mouse, and this electrical contact is retained if the manual depression is retained. T...