Abstract: An athletic pace signaling system includes a plurality of light generating modules and a control assembly in communication with the plurality of light generating modules. The control assembly includes a control circuit configured to store a predetermined pace and to cooperatively control the plurality of light generating modules such that each module projects a light associated with a training pace.

Abstract: An athletic pace signaling system includes a plurality of light generating modules and a control assembly in communication with the plurality of light generating modules. The control assembly includes a control circuit configured to store a predetermined pace and to cooperatively control the plurality of light generating modules such that each module projects a light associated with a training pace.

Abstract: A painting system is described herein for producing artwork. In one implementation, the painting system operates by receiving an input image of any type from any source. The painting system then imports the input image into a painting mechanism. Thereafter, the painting system allows a user to produce artwork by modifying the input image, as if the input image constituted paint that the user applied in manual fashion using the painting mechanism. This technology facilitates the production of artwork, as the user can leverage an already-existing image in producing the artwork.

Abstract: A graphics system is described for simulating the interaction of two or more types of media on a simulated canvas. The graphics system performs this task by consulting a media adhesion matrix which determines a type of behavior that is produced when an attempt is made to add a new medium over the top of an existing medium. In one scenario, the new medium is a watercolor medium which does not apply over a hydrophobic media (such as an oil medium), but may tunnel under such hydrophobic medium in a flow layer during a simulation operation. Various provisions are also disclosed herein to improve the efficiency of the simulation operation.

Abstract: A pay-per-use or pay-as-you-go computer uses a secure memory to store individual unique program identifiers. Each unique program identifier is associated with a particular hardware or software component, or service, or the entire computer available to a user. By combining the unique program identifier with a computer hardware identifier uniquely identified transactions may be tracked for both billing and reconciliation. Certificates associated with each unique program identifier, and coupled to the hardware identifier, provide a cryptographic basis for mutual verification of messages, requests, configuration instructions, and provisioning.