Abstract: Shoe Laces and locking apparatus for locking a lace section a desired location with a knot in the lace, the apparatus including a restorably deflectable opening for holding a lace section or portion at a desired location.

Abstract: Shoe Laces and locking apparatus for locking laces without trying the laces, the apparatus including an opening for holding a lace or laces in a locked configuration. The apparatus may include a slit for passing a lace into the locking opening.

Abstract: A computer readable storage medium comprises executable instructions to receive user-created data for user-specified positions in an OLAP hierarchy. The OLAP hierarchy is reorganized according to the user-created data. Data manipulation statements are generated to evaluate a set of members of the OLAP hierarchy according to the user-specified positions.

Abstract: A computer readable storage medium comprises executable instructions to receive a query referencing a set of members of an OLAP hierarchy. The query is parsed into a syntax tree. Changes to the OLAP hierarchy metadata are received. The syntax tree is refined in response to the changes. The query is evaluated to return results that are independent of the changes to the OLAP hierarchy metadata.

Abstract: A computer readable medium stores executable instructions to receive a Multidimensional Expressions (MDX) query. The MDX query is recursively rationalized to form a rationalized query. The rationalized query is applied to a multidimensional data source to produce query results. The query results are returned.

Abstract: A computer readable storage medium comprises executable instructions to receive a query referencing a set of members of an OLAP hierarchy. The query is parsed into a syntax tree. Changes to the OLAP hierarchy metadata are received. The syntax tree is refined in response to the changes. The query is evaluated to return results that are independent of the changes to the OLAP hierarchy metadata.

Abstract: A computer readable storage medium comprises executable instructions to receive user-created data for user-specified positions in an OLAP hierarchy. The OLAP hierarchy is reorganized according to the user-created data. Data manipulation statements are generated to evaluate a set of members of the OLAP hierarchy according to the user-specified positions.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar array of electrically-interconnected LED chips positioned within the input apertures of a corresponding array of shaped metallic reflecting bins using at least one of elevated prismatic films, polarization converting films, micro-lens arrays and external hemispherical or ellipsoidal reflecting elements. Practical applications of the LED array illumination systems include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A computer readable medium stores executable instructions to receive a Multidimensional Expressions (MDX) query. The MDX query is recursively rationalized to form a rationalized query. The rationalized query is applied to a multidimensional data source to produce query results. The query results are returned.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar array of electrically-interconnected LED chips positioned within the input apertures of a corresponding array of shaped metallic reflecting bins using at least one of elevated prismatic films, polarization converting films, micro-lens arrays and external hemispherical or ellipsoidal reflecting elements. Practical applications of the LED array illumination systems include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar array of electrically-interconnected LED chips positioned within the input apertures of a corresponding array of shaped metallic reflecting bins using at least one of elevated prismatic films, polarization converting films, micro-lens arrays and external hemispherical or ellipsoidal reflecting elements. Practical applications of the LED array illumination systems include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: An infrared zoom lens having no aspheric lens elements comprises, six distinct lens groups each having two or less spherical lens elements. The first group has a positive power, the second group has a negative power, the third group has a positive power, the fourth group has a negative power, the fifth has a positive power and the sixth group has either a positive or negative power with the purpose of relaying and focusing the output of the fourth lens group onto the focal plane of the imaging device. The second and fourth groups are axially movable but fixed relative to each other and move as a group relative to stationary groups one and three. The zoom ratio is thus varied, and no additional motion is required to keep the imagery sharp at the output focal plane as the lens is varied from the wide angle to the telephoto position.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar light emitters such as electrically-interconnected LED chips. Each light emitting region in the array is surrounded by reflecting sidewalls whose output is processed by elevated prismatic films, polarization converting films, or both. The optical interaction between light emitters, reflecting sidewalls, and the elevated prismatic films create overlapping virtual images between emitting regions that contribute to the greater optical uniformity. Practical illumination applications of such uniform light source arrays include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar array of electrically-interconnected LED chips positioned within the input apertures of a corresponding array of shaped metallic reflecting bins using at least one of elevated prismatic films, polarization converting films, micro-lens arrays and external hemispherical or ellipsoidal reflecting elements. Practical applications of the LED array illumination systems include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar array of electrically-interconnected LED chips positioned within the input apertures of a corresponding array of shaped metallic reflecting bins using at least one of elevated prismatic films, polarization converting films, micro-lens arrays and external hemispherical or ellipsoidal reflecting elements. Practical applications of the LED array illumination systems include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar array of electrically-interconnected LED chips positioned within the input apertures of a corresponding array of shaped metallic reflecting bins using at least one of elevated prismatic films, polarization converting films, micro-lens arrays and external hemispherical or ellipsoidal reflecting elements. Practical applications of the LED array illumination systems include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A compact and efficient optical illumination system featuring planar multi-layered LED light source arrays concentrating their polarized or un-polarized output within a limited angular range. The optical system manipulates light emitted by a planar light emitters such as electrically-interconnected LED chips. Each light emitting region in the array is surrounded by reflecting sidewalls whose output is processed by elevated prismatic films, polarization converting films, or both. The optical interaction between light emitters, reflecting sidewalls, and the elevated prismatic films create overlapping virtual images between emitting regions that contribute to the greater optical uniformity. Practical illumination applications of such uniform light source arrays include compact LCD or DMD video image projectors, as well as general lighting, automotive lighting, and LCD backlighting.

Abstract: A method and apparatus for reducing the volume of a cylindrical tube for disposal by crushing flat and then shearing into small coupons. Shearing is accomplished by opposed dies having a checkerboard grid of cutting edges. The resulting coupons are preferably substantially square in shape. The invention is particularly useful for reducing the storage volume of irradiated radioactive pressure tubes from a nuclear reactor.

Abstract: An image projection system for generating an image on a projection screen using a highly compact geometry. The optical system uses polarized light manipulated by at least one of a conicoid, or plane optical elements to effect a folded mirror system to project an image onto the screen.