Abstract: A signal is decomposed into different components using a transform, with the components then being separately presented to a person in a manner that produces a different cognitive experience than would have resulted from either (a) presentation of the original signal, or (b) presentation of a fully synthesized (inverse transformed) signal.

Abstract: In an embodiment, a quantity smoother includes a first stage and a second stage. The first stage is operable to receive a sequence of raw samples of a quantity and to generate from the raw samples intermediate samples of the quantity, the intermediate samples having a reduced level of fluctuation relative to the sequence of raw samples. The second stage is coupled to the first stage and is operable to generate from the intermediate samples resulting samples of the quantity, the resulting samples having a reduced level of fluctuation relative to the sequence of intermediate samples. For example, such a quantity smoother may be part of a target-ranging system on board a fighter jet, and may smooth an error in an estimated target range so that the fighter pilot may more quickly and confidently determine in his head a range window within which the target lies.

Abstract: An electronic apparatus having a graph display function comprises an expression memory configured to store an expression including expression elements, a parameter setting unit configured to set an expression element included in the expression stored in the expression memory as a coordinate parameter in accordance with operation made by a user, and a graph plotting unit configured to plot a graph of the expression based on the coordinate parameter set by the parameter setting unit.

Abstract: A computer algebra system including algebraic expression transformations with a display of domain of definition constraints only when a domain of definition differs from that of an antecedent expression.