The type N Karlhede bound is sharp
نویسندگان
چکیده
منابع مشابه
Parameters for which the Griesmer bound is not sharp
7 We prove for a large class of parameters t and r that a multiset of at most t d−k + r d−k−2 points in PG(d, q) that blocks every k-dimensional subspace at least t times must contain a sum of t subspaces of codimension k. 9 We use our results to identify a class of parameters for linear codes for which the Griesmer bound is not sharp. Our theorem generalizes the non-existence results from Maru...
متن کاملA Sharp Bound on the s-Energy
We derive an (essentially) optimal bound of O(1/ρs)n−1 on the s-energy of an n-agent averaging system, where ρ is a lower bound on the nonzero weights. The s-energy is a generating function with applications to opinion dynamics, synchronization, consensus, bird flocking, inhomogeneous products of stochastic matrices, etc. We discuss a few of the improvements one can derive from the new bounds.
متن کاملA Sharp Lower Bound for the Canonical Volume of 3-folds of General Type
Let V be a smooth projective 3-fold of general type. Denote by K, a rational number, the self-intersection of the canonical sheaf of any minimal model of V . One defines K as the canonical volume of V . Assume pg(V ) ≥ 2. We show that K 3 ≥ 1 3 , which is a sharp lower bound. Then we classify those V with small volume. We also give some new examples with pg = 2 which have maximal canonical stab...
متن کاملA Sharp Lower Bound for Mixed-membership
The goal is to estimate {πi, 1 ≤ i ≤ n} (i.e., membership estimation). We model the network with the degree-corrected mixed membership (DCMM) model [8]. Since for many natural networks, the degrees have an approximate power-law tail, we allow severe degree heterogeneity in our model. For any membership estimation {π̂i, 1 ≤ i ≤ n}, since each πi is a probability mass function, it is natural to me...
متن کاملA sharp isoperimetric bound for convex bodies
We consider the problem of lower bounding a generalized Minkowski measure of subsets of a convex body with a log-concave probability measure, conditioned on the set size. A bound is given in terms of diameter and set size, which is sharp for all set sizes, dimensions, and norms. In the case of uniform density a stronger theorem is shown which is also sharp.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2007
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/25/1/012001