Mache Creeger
Abstract
LMI will be introducing its next generation LISP Machine, the Lambda, for market in the spring. The major design philosophy of the Lambda machine is the concept of modularity. The system is designed so that it can exist in a large number of configurations centered around a 32 bit high performance bus.
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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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