The plane z=0, denoted by Σ, is partitioned as Σ=Ω∪Ωc, where Ω is bounded and the complement Ωc is unbounded. When necessary, we use Ω± to denote the positive (z=0+) and negative (z=0−) sides of Ω, with similar definitions for Σ± and Ω±c. There are four ba...
It turns out that the restriction homomorphism approach is no longer available here (it makes the components unbounded, which makes the combinatorial problem too difficult to solve). Instead, one has to first perform a second moment analysis to discern more structure about the polynomials involved....
It turns out that the restriction homomorphism approach is no longer available here (it makes the components unbounded, which makes the combinatorial problem too difficult to solve). Instead, one has to first perform a second moment analysis to discern more structure about the polynomials involved....
For every \(k\) there is a strictly increasing sequence of length \(k\) of natural numbers that is bounded. Do you conclude from this fact that there is an infinite strictly increasing sequence of natural numbers that is bounded? Nana:: Ah, I see the difference now! Reila:: (stares ...
in network g is bounded by a constant. local csps are expressive, for example: dominating sets: they can be expressed by having a “cover” constraint on each inclusive neighborhood \(\vargamma ^+(v)\) which constrains that at least one vertex from \(\vargamma ^+(v)\) is chosen. ...
A set F ⊂ C(X, R) is said to be pointwise bounded if for every x ∈ X, A version of the Theorem holds also in the space C(X) of real-valued continuous functions
Prioritized unbounded channelThe System.Threading.Channels namespace lets you create first-in-first-out (FIFO) channels using the CreateBounded and CreateUnbounded methods. With FIFO channels, elements are read from the channel in the order they were written to it. In .NET 9, the new Create...
What had they thought of the world and what it would become? What did it feel like in each moment, to be confronted with a life so bounded? And what did it feel like to be human? Records of the past, though well-secured by now, were quite finite compared to the deluge of informati...
people will buy the bonds. The bad outcome was the scenario that we were staring down the barrel of in October. Nobody’s going to buy the bonds. If nobody buys the bonds, the systemic risk in the system is the lack of capital supporting all the leverage and fixed income in regulated...
is our notation for the geometric mean The multilinear Kakeya inequality ofBennett, Carbery, and myselfestablishes that is of subpolynomial size; alater argument of Guthimproves this further by showing that is bounded (and in fact comparable to ...