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18.405J Advanced Complexity Theory (MIT) 18.405J Advanced Complexity Theory (MIT)

Description

The topics for this course cover various aspects of complexity theory, such as  the basic time and space classes, the polynomial-time hierarchy and the randomized classes . This is a pure theory class, so no applications were involved. The topics for this course cover various aspects of complexity theory, such as  the basic time and space classes, the polynomial-time hierarchy and the randomized classes . This is a pure theory class, so no applications were involved.

Subjects

Basic time and space classes | Basic time and space classes | polynomial-time hierarchy | polynomial-time hierarchy | Randomized classes: RP | BPP | RL | and their relation to PH | Randomized classes: RP | BPP | RL | and their relation to PH | Counting classes: #P | Counting classes: #P | Non-uniform classes | Non-uniform classes | Oracles | relativization | Oracles | relativization | Interactive proof systems | Interactive proof systems | Pseudo-random generators | Pseudo-random generators | randomness | randomness | Some circuit lower bounds--monotone and AC0. | Some circuit lower bounds--monotone and AC0. | oracles | oracles | relativization | relativization | randomized classes | randomized classes | RP | RP | BPP | BPP | RL | RL | PH | PH | circuit lower bonds | circuit lower bonds | monotone | monotone | AC0 | AC0 | basic time classes | basic time classes | basic space classes | basic space classes | 18.405 | 18.405 | 6.841 | 6.841

License

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18.405J Advanced Complexity Theory (MIT) 18.405J Advanced Complexity Theory (MIT)

Description

The topics for this course cover various aspects of complexity theory, such as  the basic time and space classes, the polynomial-time hierarchy and the randomized classes . This is a pure theory class, so no applications were involved. The topics for this course cover various aspects of complexity theory, such as  the basic time and space classes, the polynomial-time hierarchy and the randomized classes . This is a pure theory class, so no applications were involved.

Subjects

Basic time and space classes | Basic time and space classes | polynomial-time hierarchy | polynomial-time hierarchy | Randomized classes: RP | BPP | RL | and their relation to PH | Randomized classes: RP | BPP | RL | and their relation to PH | Counting classes: #P | Counting classes: #P | Non-uniform classes | Non-uniform classes | Oracles | relativization | Oracles | relativization | Interactive proof systems | Interactive proof systems | Pseudo-random generators | Pseudo-random generators | randomness | randomness | Some circuit lower bounds--monotone and AC0. | Some circuit lower bounds--monotone and AC0. | oracles | oracles | relativization | relativization | randomized classes | randomized classes | RP | RP | BPP | BPP | RL | RL | PH | PH | circuit lower bonds | circuit lower bonds | monotone | monotone | AC0 | AC0 | basic time classes | basic time classes | basic space classes | basic space classes | 18.405 | 18.405 | 6.841 | 6.841

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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18.405J Advanced Complexity Theory (MIT)

Description

The topics for this course cover various aspects of complexity theory, such as  the basic time and space classes, the polynomial-time hierarchy and the randomized classes . This is a pure theory class, so no applications were involved.

Subjects

Basic time and space classes | polynomial-time hierarchy | Randomized classes: RP | BPP | RL | and their relation to PH | Counting classes: #P | Non-uniform classes | Oracles | relativization | Interactive proof systems | Pseudo-random generators | randomness | Some circuit lower bounds--monotone and AC0. | oracles | relativization | randomized classes | RP | BPP | RL | PH | circuit lower bonds | monotone | AC0 | basic time classes | basic space classes | 18.405 | 6.841

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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DG4Y35 MSI Devices

Description

The purpose of this unit is to provide candidates with the necessary skills and knowledge to select and apply specific medium-scale integration devices to electronic circuits. On completion of this unit the candidate should be able to: • explain the operation and use of analogue to digital conversion • explain the operation and use of digital to analogue conversion • explain the operation of specific MSI devices • apply MSI devices.

Subjects

DG4Y 35 | D/A architecture | R/2R ladder D/A converters | AD557 | DAC0800 | AD7819 | Shift registers | Multiplexers | demultiplexers | Waveform generators | X: Engineering | ENGINEERING | SCQF Level 8

License

Except where expressly indicated otherwise on the face of these materials (i) copyright in these materials is owned by the Scottish Qualification Authority (SQA), and (ii) none of these materials may be Used without the express, prior, written consent of the Colleges Open Learning Exchange Group (COLEG) and SQA, except if and to the extent that such Use is permitted under COLEG's conditions of Contribution and Use of Learning Materials through COLEG’s Repository, for the purposes of which these materials are COLEG Materials. Except where expressly indicated otherwise on the face of these materials (i) copyright in these materials is owned by the Scottish Qualification Authority (SQA), and (ii) none of these materials may be Used without the express, prior, written consent of the Colleges Open Learning Exchange Group (COLEG) and SQA, except if and to the extent that such Use is permitted under COLEG's conditions of Contribution and Use of Learning Materials through COLEG’s Repository, for the purposes of which these materials are COLEG Materials. Licensed to colleges in Scotland only Licensed to colleges in Scotland only http://content.resourceshare.ac.uk/xmlui/bitstream/handle/10949/17761/LicenceSQAMaterialsCOLEG.pdf?sequence=1 http://content.resourceshare.ac.uk/xmlui/bitstream/handle/10949/17761/LicenceSQAMaterialsCOLEG.pdf?sequence=1 SQA SQA

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