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Succinct Data Structure

Succinct Data Structure

2006/07/05 ???????????????????. Succinct Data Structure. ?????? ????????????? ?????????? hillbig@is.s.u-tokyo.ac.jp. ??. ??????? ???????????? ???????? ?????????????? ??????????????????????????????. ?? ?????????????????????????. ?????. ?? Succinct Data Structure (SDS) ???????? SDS

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583 views • 48 slides
Streaming Algorithms for Geometric Problems

Streaming Algorithms for Geometric Problems

Streaming Algorithms for Geometric Problems. Piotr Indyk MIT. Data Streams. A data stream is a (massive) sequence of data Too large to store (on disk, memory, cache, etc.) Examples: Network traffic (source/destination) Sensor networks Satellite data feed, etc. Approaches: Ignore it

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606 views • 47 slides
Streaming Algorithms for Geometric Problems

Streaming Algorithms for Geometric Problems

Streaming Algorithms for Geometric Problems. Piotr Indyk MIT. Data Streams. A data stream is a (massive) sequence of data Too large to store (on disk, memory, cache, etc.) Examples: Network traffic (source/destination) Sensor networks Satellite data feed, etc. Approaches: Ignore it

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475 views • 47 slides
Notes for self-assembly of thin rectangles

Notes for self-assembly of thin rectangles

Notes for self-assembly of thin rectangles. Days 19, 20 and 21 of Comp Sci 480. Warm-up. (From hw3) PROVE: There exist infinitely values of N for which the tile complexity of uniquely building an NxN square is O(log log N) This is MUCH better (asymptotically) than O(log N / log log N)

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572 views • 42 slides
Sorting

Sorting

Sorting. Quick Sort. Example. S={6, 5, 9, 2, 4, 3, 5, 1, 7, 5, 8}. 2, 4, 3, 1, 5, 5, 6, 9, 7, 8, 5. 2, 1, 3, 4, 5. 5. 1, 2. 3. 4, 5. 5, 6, 7, 8, 9. O(1). O(n). O(n). t(n/2). Quick Sort. Step 1. If n = 1 then return. Step 2. Find the median m of the input array A .

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393 views • 39 slides
Sources of Parallelism and Locality in Simulation

Sources of Parallelism and Locality in Simulation

Sources of Parallelism and Locality in Simulation. Partial Differential Equations PDEs. Continuous Variables, Continuous Parameters. Examples of such systems include Parabolic (time-dependent) problems: Heat flow: Temperature(position, time) Diffusion: Concentration(position, time)

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430 views • 33 slides
Indefinite integrals

Indefinite integrals

Indefinite integrals. Definition : if f(x) be any differentiable function of such that d/ dx f( x ) = f(x)Is called an anti-derivative or an indefinite integral of f(x) we write f(x) = ? f (x) dx . The symbol ? dx is used as a symbol of operation which means integrating w.r.t . x.

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917 views • 20 slides
Streaming Algorithms

Streaming Algorithms

Streaming Algorithms. Piotr Indyk MIT. Data Streams. A data stream is a sequence of data that is too large to be stored in available memory Examples: Network traffic Sensor networks Approximate query optimization and answering in large databases Scientific data streams ..And this talk.

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340 views • 19 slides

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