Abstract: Methods and systems to correct low-resolution measurements corresponding to unobservable high-resolution measurements by introducing variation in the plurality of low-resolution measurements to obtain perturbed values for the low-resolution measurements. The perturbed values have a higher resolution than another resolution of the low-resolution measurements. A distribution test is performed on the perturbed values.

Abstract: Methods and systems to correct low-resolution measurements corresponding to unobservable high-resolution measurements by introducing variation in the plurality of low-resolution measurements through iteratively computing, until a termination criteria is met, perturbed values for the low-resolution measurements. The perturbed values have a higher resolution than another resolution of the low-resolution measurements. A distribution test may afterwards be performed on the perturbed values that remain after the termination criteria is met.

Abstract: A drone detection system includes a plurality of base stations, which are distributed over a geographic area that includes a facility. Each base station is configured to emit radio signals that are monitored for reflection data, which is generated when the radio signals reflect from an object. A server is configured to process the reflection data to identify a drone in proximity to the facility. The processing is configured to process the reflection data over time to identify trajectory metrics for the identified drone. The trajectory metrics are configured to predict a path of the drone and determine if the drone constitutes a threat to the facility. An alert is processed by the server when the drone is determined to constitute a threat to the facility. A data center is configured to receive and store processed reflection data that has been processed by the server.

Abstract: Models are k-fold cross-validated to determine how results of an analysis will generalize to an independent data set. By obtaining an inverse transformation of a set of residuals representative of a traditional repetitive train-then-test approach, models can be k-fold cross-validated in an accelerated manner to reduce computational cost and eliminate or substantially eliminate restrictions on the number of folds to include in the cross-validation.

Abstract: A drone detection system includes a plurality of base stations, which are distributed over a geographic area that includes a facility. Each base station is configured to emit radio signals that are monitored for reflection data, which is generated when the radio signals reflect from an object. A server is configured to process the reflection data to identify a drone in proximity to the facility. The processing is configured to process the reflection data over time to identify trajectory metrics for the identified drone. The trajectory metrics are configured to predict a path of the drone and determine if the drone constitutes a threat to the facility. An alert is processed by the server when the drone is determined to constitute a threat to the facility. A data center is configured to receive and store processed reflection data that has been processed by the server.

Abstract: An end formed tube to which a molded plastic part is attached and sealed. One end of the end formed tube is rolled over to form a lip, which prevents the removal of the molded part. The rolled over lip portion creates a void in which plastic overmold from the plastic part is deposited, thereby creating a positive seal and attachment. The end of the tube in which the lip is formed is configured in a polygonal shape to provide torsional strength to the interface of the molded part and the tube.

Abstract: A method for removing hidden lines in a two-dimensional surface chart disclosing an image of a three-dimensional surface, includes storing the X, Y and Z co-ordinates of selected points (A, B, C, D, E) of the surface as a first matrix, transforming the first matrix into a second matrix indicating the drawing sequence through the selected points, rotating the points of the second matrix around the Z-axis a first angle .alpha., rotating the second matrix points a second angle .beta. and drawing the two-dimensional surface chart in accordance with the indicated sequence using the X and Y co-ordinate values of the rotated points. The drawing sequence comprises a drawing operation of X-traces, an X-trace being defined as a line passing through points having substantially the same Y values in the first matrix, the drawing operation of one X-trace being followed by a plurality of .DELTA.

Abstract: A decorative envelope packet which may be mounted on a wall, and includes detachable envelopes in the form of a plurality of stacked envelopes encased within a decorative coverlayer. The coverlayer extends along the entire back portion of the envelopes and is connected by wire staples to the stacked flap portions of the envelopes. The decorative coverlayer is folded about three fold lines so as to completely enclose the wire staples, and so as to at least partially cover the flap portions of the front of the decorative envelope packet. The total enclosure of the wire staples ensures that during shipment of the decorative envelope packets the wire staples of one packet does not damage the decorative printing on the coverlayer of the adjacent packet, and in addition, this arrangement prevents inadvertent nicking or cutting of the user's fingers by the clinched ends of the wire staples.