Abstract: Data employed in computations is processed so that during computations more of the data can be fit into or maintained in a smaller but higher speed memory than an original source of the data. More specifically, a sensitivity value is determined for various items of the data which reflect the number of bits in the data items that are not garbage bits, and only information in the data items that are indicated by the sensitivity value to not be garbage bits are necessarily effectively retained. At least the information that is not garbage bits and the corresponding associated sensitivity are packed together. The results of computations that are performed using the data items as at least one of the operands for the computation are associated with a sensitivity that is derived from the individual sensitivities of the operands used in the computation.

Abstract: A computer-implemented method includes: registering, by a computer device, a device to a network; collecting, by the computer device, device data from the device through the network; compiling, by the computer device, training data from the collected device data; training, by the computer device, a machine learning model using the training data; predicting, by the computer device and using the machine learning model, a time when the device will be in an inactive system state; and automatically scheduling, by the computer device and based on the predicting, an application of an update for the time when the device is in the inactive system state.

Abstract: A computer-implemented method includes: registering, by a computer device, a device to a network; collecting, by the computer device, device data from the device through the network; compiling, by the computer device, training data from the collected device data; training, by the computer device, a machine learning model using the training data; predicting, by the computer device and using the machine learning model, a time when the device will be in an inactive system state; and automatically scheduling, by the computer device and based on the predicting, an application of an update for the time when the device is in the inactive system state.

Abstract: A puzzle game has the shape of a sphere which is made up of eight parts or octants which can be moved around the three perpendicular shafts of coordinates, changing the relative position between one and the other to correctly try and form the spherical surface with the motif engraved on the octants. The eight octants are joined in a mobile way to an inner part which is defined by a small sphere with six cylindrical arms arranged according to the shafts of coordinates and finished on trunci-conical flareouts. On their three flat sides, the octants present a machining with center in the sphere which causes the formation of channels which allow the pass of the radial arms of the inner part and also its two trunci-conical flareouts. To overcome the obstacle of the small sphere of the inner part, the vertex of the octants have a machining which determines a spherical emplacement mark.