So, the most-efficient codes correspond to
the densest sphere packings.
These three HGs consisting of LGs 17 and 68, LGs 39 and 46, and LGs 10, 11, and 38, respectively, correspond to three parts of the sorghum LG A.
Nineteen of the 28 (68%) unique markers of GG HG 2 correspond to sorghum LG A; one unique marker (3.6%) corresponds to sorghum LG J; the other eight markers did not map in sorghum.
Among the 207 loci mapped, 178 (86%) correspond to sorghum LG A (Table 3).
As for interpretation, there are two tests relevant for continued study: (1) How well do the suggested interpretations correspond to and illuminate current theory?
It is also interesting to note that two of the three poles identified in the ALSCAL solution (see Figure 1) correspond to the two dimensions of Family Communication Patterns (Ritchie, 1991): Openness and Expressiveness correspond closely to Conversation-orientation, and social structure corresponds closely to Conformity-orientation.
The vast majority of the coral ESTs correspond to
DNA sequences shared by all multicellular animals.
Those elements more than 3 mm away from the weld correspond to
the full reflection from the non-welded area.
These cases correspond to
p and not-q cards on a Wason test -- the logically correct responses.
Using a bit-test program it is easy to get the count and find all those binary numbers that correspond to all the ray paths with the proper p-wave and s-wave sequences.
(3.40) or (3.45) may contain singularities, and they can be divided into three categories that respectively correspond to three different types of wave front arrivals: 1) The body waves relevant to the regular reflected rays which are determined from the singularities of [partial][phi]/[partial]y = 0,2) The interface waves, including Rayleigh surface waves, Stoneley interface waves, and the other possible leaky waves, which are determined from the singularities of [[DELTA].sub.I] = 0 or [[DELTA].sub.II] = 0 in the denominators of the reflection coefficients, and 3) The head waves determined from the singularities of the branch points of the square root functions.
It may be seen that the branch points [y.sub.1], [y.sub.3], and [y.sub.4] correspond to the arrivals of various head wave rays, while the branch point [y.sub.2] seems to correspond to the arrival of the S ray propagating along the top surface of the layer.
His discovery means that researchers studying physical systems that happen to correspond to such a mathematical scheme would have no way of determining the system's future, not just in the long term but also in the short run.
Moore was able to show that his games, which he calls "generalized shifts," correspond to dynamical systems known as iterated maps, which researchers sometimes use to model physical systems.
In 1970, British evolution scientist John Maynard Smith extended the idea of adaptive landscapes to what he called "protein space" -- a multidimensional mathematical construct whose points correspond to
each of the protein sequences of designated lengths that can be built using the 20 amino acids that serve as the proteins' molecular building blocks.