In order to explain it and to formulate a specific conjecture, we came up with the notion of "representation stability" for a sequence of representations of groups.
We rely on the distinction between representation and control but do not explore the more specific conjecture that inhibitory processes are central to such control (Green, 1998).
These experimental observations lead to fairly definite and specific mathematical conjectures: Under suitable conditions (to be determined) on the set of predictors, the average number of people who actually go to the bar converges to the threshold value over time.
As these ameliorating effects of LTKE were sequence specific, we conjecture that they arose from the predicted hGBE1-Y329S binding model described in Figure 5, although attempts to prove this directly in vitro were hampered by difficulty in obtaining purified recombinant mutant protein (Fig. 4D).
Since self-efficacy has been demonstrated to be content-specific, we conjecture that it may also be concept-specific, possibly varying between various strands in mathematics.
Moreover, the HyBrow concept of "neighboring" hypotheses is ad hoc and dependent upon the specific representation of conjectures, which is (as described above) built into HyBrow's code and is not explicit.
However, for specific systems, the conjecture is still open (and far from having been proved); see [18].
Mathematical models and computer simulations are useful experimental tools for building and testing theories, assessing quantitative conjectures, answering specific questions, determining sensitivities to changes in parameter values, and estimating key parameters from data.
Further, conjecturing, including the specific operations that students engage in and the conjectures that they produce, would need to appear prominently in artifacts that shape teachers' vision of the curriculum, including textbooks and local and national assessments.
