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# Questions tagged [streaming]

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### How to show that the median cannot be maintained in $O(1)$ time?

Suppose that we have a stream of numbers $x_1,x_2,\ldots$ such that we wish to track the median of the values observed so far. This task is easy to do with $O(\log n)$ update time (where $n$ is the ...
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### Estimating the cardinality of multisets given some sets of different sizes

The count-distinct problem is: given a stream of elements $x_1, \dots, x_n$ which contains duplicates, find the number of distinct elements using a small amount of space. I also want the following ...
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### Does bisimulation or the approximation lemma work for monadic streams?

For ordinary streams $S_A := \nu X. A \times X$, there is a bisimulation lemma. It says that two streams are equal if there exists a bisimulation between them. A bisimulation is a relation $\sim$ on ...
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### Functions and Counting Problems in Streaming Computation

I have read a stream computation paper in STOC07(Paul Beame, T. S. Jayram, and Atri Rudra. Lower bounds for randomized read/write stream algorithms.) and FOCS08（Paul Beame and Trinh Huynh. On the ...
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### What's the strict definition of random coins in streaming algorithm?

I have a very basic question about random bits in streaming. How could a streaming algorithm use them? Can the algorithm use the same random bit at the start of the execution and look at it again ...
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### Why does deterministic recognition of DYCK(2) languages in the streaming model take linear space?

I was reading the paper "Recognizing Well-Paranthesized Expressions in the Streaming Model" by Magniez, Mathieu and Nayak where they give upper and lower bounds on the space required to recognize DYCK(...
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