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### what is the largest gap between rank and approximate rank

$\epsilon$-approximation rank of a matrix $M$ is the minimum rank of a real matrix $A$ which differs from $M$ at most $\epsilon$ in each entry. Associating any function $f:X\times Y\rightarrow${1,-1} ...

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### Space Bounded Communication Complexity of Identity

$\bf Definition.$ We define the space bounded communication in the following way. A and B are
supernatural beings capable of computing anything but
they only have a limited amount of memory and that ...