Abstract: A computer-implemented method and system for representing and solving at least one of an algebraic problem, a proportions problem, and a linear growth problem. A graphical user interface has a symbolic section and a pictorial section. The symbolic section includes a symbolic representation of the mathematical problem and the pictorial section includes a pictorial representation of the mathematical problem. An input is received from a user. The input is associated with one of the symbolic section and the pictorial section. In response to the input, the other of the symbolic section and the pictorial section is modified such that the symbolic section and the pictorial section track each other. The user solves the mathematical problem by interacting with at least one of the symbolic section and the pictorial section.

Abstract: A cooked snack food or cooked edible core material, such as roasted nuts, or baked snack chips, while still hot from the cooking step, is tumbled and sprayed with an aqueous solution of a water-soluble, film-forming coating component, such as a maltodextrin. The tumbling and spraying is performed immediately after cooking so that latent heat from the cooked edible core material, reduces the moisture content of the applied aqueous solution to form a dry, thin film coating of the coating component on the edible core material. The need for a separate, subsequent drying step or forced air drying equipment to reduce the moisture content is eliminated by evaporative cooling of the hot cooked snacks and flashing of the applied aqueous coating solution. The dry, coated cooked snack may be cooled to obtain a snack food having a thin, uniform coating which enhances appearance, texture, taste and shelf life.

Abstract: An integrated paint quality control (IPQC) system for feedback control of paint process for painting vehicle bodies includes a film thickness sensor system for measuring paint film thickness of the painted bodies. The IPQC system also includes a control system communicating with the film thickness sensor system for receiving information of the paint film thickness and combining the paint film thickness information with paint automation parameters on a vehicle identification number (VIN) basis of the painted bodies to control the paint process.

Abstract: An integrated paint quality control (IPQC) system for feedback control of paint process for painting vehicle bodies includes a film thickness sensor system for measuring paint film thickness of the painted bodies. The IPQC system also includes a control system communicating with the film thickness sensor system for receiving information of the paint film thickness and combining the paint film thickness information with paint automation parameters on a vehicle identification number (VIN) basis of the painted bodies to control the paint process.

Abstract: An integrated paint quality control (IPQC) system for feedback control of paint process for painting vehicle bodies includes a film thickness sensor system for measuring paint film thickness of the painted bodies. The IPQC system also includes a control system communicating with the film thickness sensor system for receiving information of the paint film thickness and combining the paint film thickness information with paint automation parameters on a vehicle identification number (VIN) basis of the painted bodies to control the paint process.