Lambda machine overview
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On Multiplicative $\lambda$-Approximations and Some Geometric Applications
† Special Section on the Forty-Second Annual ACM Symposium on Theory of Computing (STOC 2010)Let $\mathcal{F}$ be a set system over an underlying finite set $X$, and let $\mu$ be a nonnegative measure over $X$; i.e., for every $S \subseteq X$, $\mu(S)=\sum_{x\in S} \mu(x)$. A measure $\mu^*$ on $X$ is called a multiplicative ${\lambda}$-...
Bounding the Independence Number in Some $$(n,k,\ell ,\lambda )$$(n,k,ℓ,?)-Hypergraphs
Given positive integers k, $$\ell $$ℓ and $$\lambda $$__ __ such that $$2\leqslant \ell \leqslant k-1$$2__ __ℓ__ __k-1, an $$(n,k,\ell ,\lambda )$$(n,k,ℓ,__ __)-hypergraph $$\mathcal {H}$$H is a k-uniform hypergraph on the vertex set [n] in which every ...
The Characterization of Solutions of $\nabla ^2 \phi + \lambda ^2 \phi = 0$ by a Functional Equation
If $E^n (n \geqq 2)$ denotes real n-dimensional Euclidean space, then the following result is known. If f is a solution of $\nabla ^2 \phi + \lambda ^2 \phi = 0$ throughout $E^n - \{ {\bf 0}\} $, then \[ \frac{1}{{S(r)}}\int_{S(r)} {f({\bf x} + {\bf y})...
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Association for Computing Machinery
New York, NY, United States
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