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For problems in which the glyphs are merely employed in serial order, it is not so important to keep the rays down to two lengths. They may then be diagramed proportionate to the ranging of each variable or to the actual measured values. When going back and forth from glyphs used in serial order or on a map to glyphs used on a Cartesian grid, two rays may be qualities diagramed on Xand Y-axes, or measures on Xand Y-axes may be replaced by rays of appropriate lengths. In Figure 1 at the lower left, individuals 1, 2, 3, and 4 are transferred to a Cartesian grid. Qualities A and E (each measured on a scale of 1-10, using the original values given in parentheses in the upper-left-hand corner of Fig. 1), are employed to locate each glyph on the scatter diagram. It will be seen that these glyphs are the same as those in the figure to the right, except that the ray at position A has been replaced by the position of the entire glyph cn the Y-axis, while the ray at position E has been replaced by the position of the glyph on the X-axis. It will be noted that, as far as one can judge from four individuals, variables B and C are associated with each other, as are B and D; that B, C, and D, separately and in combination, are associated strongly with variable A and slightly with variable E. In attempting to work out complexes of related qualities, the analysis is facilitated if the ray lengths are coded in such a way that all the extreme values characteristic of one complex are assigned long rays and those characteristic of the other are assigned no rays. For example, in studying hybridization between two subspecies of Campsis, one of the subspecies had a short tube, a wide limb, and much red in the flower; the other had a long tube, a small limb, and little red. Redness and limb width were coded with long rays for much red and for wide limbs, tube length was coded in reverse with a long ray for short tubes. This meant that those hybrids closely resembling one parent were coded as three long rays and those most closely resembling the other parent as a rayless dot.

TERMINAL CONTROL, TIME LAGS, AND DYNAMIC PROGRAMMING