Unless players have experienced play at equilibrium with one another in the past, even if they are all economically rational and all believe this about one another, we should predict that they will attach some positive probability to the conjecture that understanding of game structures among some players is imperfect.
In participants' descriptions of students related to sharing and discussing conjectures, we see evidence of the perception that students' discussion of their peers' conjectures can improve their understanding of their own conjectures.
Theorems 10 and 3 may therefore be important steps towards a complete understanding of Conjecture 2. Now that techniques have been found to deal with these terms of degree k, it is natural to ask whether the condition D k+ε <C can be pushed to the condition D k+1<C, since as long as D k+1<C is satisfied one can ignore terms of degree strictly greater than k.
As noted above, mathematical insights involve an intuitive yet not fully elaborated understanding of the key ideas behind a conjecture.
In a speech at a conference in Beijing this summer, Shing-Tung Yau of Harvard said the understanding of three-dimensional space brought about by Poincaré's conjecture could be one of the major pillars of math in the 21st century.
A deeper understanding of the mass requires the resolution of several conjectures posed by Bartnik, leading to interesting global problems in geometric PDE.
It settles a long standing conjecture (modulo an additional assumption which is most likely generic) and clarifies our understanding of ergodicity and mixing properties of billiards.
In line with our limited understanding of how non-embryonic cell therapy might work, there has been considerable conjecture as to whether the administered cells differentiate [15], fuse with resident cells [16] or secrete paracrine factors [17].
I cannot conjecture what understanding I ought to have gained, and as a matter of fact I have not gained any at all - that is to say, the Chinese knowledge which I have learned from The Way and the Word has not added a jot to my understanding of the Greeks.
In-depth understanding of Software Development Life Cycles.
an understanding of Pokemon.
