Results 21 to 30 of about 2,697,458 (148)
Planar posets have dimension at most linear in their height
We prove that every planar poset $P$ of height $h$ has dimension at most $192h + 96$. This improves on previous exponential bounds and is best possible up to a constant factor.
Joret, Gwenaël +2 more
core +1 more source
An extended reverse Hardy–Hilbert’s inequality in the whole plane
Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor.
Qiang Chen, Bicheng Yang
doaj +1 more source
By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved.
Rassias, Michael Th., Yang, Bicheng
openaire +2 more sources
Stackelberg Network Pricing Games [PDF]
We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost.
Briest, Patrick +2 more
core +10 more sources
Search For A Permanent Electric Dipole Moment Using Atomic Indium
We propose indium (In) as a possible candidate for observing the permanent electric dipole moment (EDM) arising from the violations of parity (P) and time-reversal (T) symmetries.
B. K. Sahoo +4 more
core +1 more source
Bounds for the quantifier depth in finite-variable logics: Alternation hierarchy [PDF]
Given two structures G and H distinguishable in FO^k (first-order logic with k variables), let A^k(G,H) denote the minimum alternation depth of a FO^k formula distinguishing G from H. Let A^k(n) be the maximum value of A^k(G,H) over n-element structures.
Berkholz, Christoph +2 more
core +2 more sources
In this paper, by introducing multiple parameters, we establish a discrete version of the Hardy–Littlewood–Polya inequality in the whole plane. For the obtained inequality, we give the equivalent statements of the best possible constant factor linked to ...
Bicheng Yang, Shanhe Wu
doaj +1 more source
On a reverse Mulholland’s inequality in the whole plane
By introducing multi-parameters, applying the weight coefficients and Hermite–Hadamard’s inequality, we give a reverse of the extended Mulholland inequality in the whole plane with the best possible constant factor.
Aizhen Wang, Bicheng Yang
doaj +1 more source
A discrete Hilbert-type inequality in the whole plane
By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given.
Dongmei Xin, Bicheng Yang, Qiang Chen
doaj +1 more source
Randomness Conductors and Constant-Degree Lossless Expanders [Extended Abstract] [PDF]
The main concrete result of this paper is the first explicit construction of constant degree lossless expanders. In these graphs, the expansion factor is almost as large as possible: (1-[epsilon])D, where D is the degree and [epsilon] is an arbitrarily ...
Capalbo, Michael +3 more
core +1 more source

