Abstract :
Abstract—A switching function which is 2-summable is not linearly separable (a threshold function). A test for 2-summability is given which uses the decimal numbers corresponding to the standard products (minterms) of a function, a slide rule like device, and a preformed chart. The device may be used with functions of up to six variables.
Keywords :
Index terms—Linearly separable functions, majority functions, threshold functions, 2-summnable functions.; Boolean functions; Constraint theory; Counting circuits; Feedforward systems; Logic devices; Network synthesis; Symmetric matrices; Testing; Upper bound; Index terms—Linearly separable functions, majority functions, threshold functions, 2-summnable functions.;