concepts:
- id: mit-ocw-6-050j-information-and-entropy
  title: MIT OCW 6.050J Information and Entropy
  description: 'Source: MIT OpenCourseWare 6.050J Information and Entropy, Spring
    2008.

    Attribution: adapted from the OCW course overview, unit sequence, and assigned
    textbook references.'
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: information
  title: Information
  description: Candidate concept extracted from lesson 'MIT OCW 6.050J Information
    and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: entropy
  title: Entropy
  description: Candidate concept extracted from lesson 'MIT OCW 6.050J Information
    and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: source
  title: Source
  description: Candidate concept extracted from lesson 'MIT OCW 6.050J Information
    and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: opencourseware
  title: OpenCourseWare
  description: Candidate concept extracted from lesson 'MIT OCW 6.050J Information
    and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: spring
  title: Spring
  description: Candidate concept extracted from lesson 'MIT OCW 6.050J Information
    and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: attribution
  title: Attribution
  description: Candidate concept extracted from lesson 'MIT OCW 6.050J Information
    and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: counting-and-probability
  title: Counting and Probability
  description: '- Objective: Explain how counting arguments, probability spaces, and
    random variables support later information-theory results.

    - Exercise: Derive a simple counting argument for binary strings and compute an
    event probability.

    This lesson i'
  prerequisites:
  - mit-ocw-6-050j-information-and-entropy
  mastery_signals: []
  mastery_profile: {}
- id: counting
  title: Counting
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: probability
  title: Probability
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: objective
  title: Objective
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: explain
  title: Explain
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: exercise
  title: Exercise
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: derive
  title: Derive
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: this
  title: This
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: random
  title: Random
  description: Candidate concept extracted from lesson 'Counting and Probability'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: shannon-entropy
  title: Shannon Entropy
  description: '- Objective: Explain Shannon Entropy as a measure of uncertainty and
    compare high-entropy and low-entropy sources.

    - Exercise: Compute the entropy of a Bernoulli source and interpret the result.

    This lesson centers Shannon Entropy, Surprise'
  prerequisites:
  - counting-and-probability
  mastery_signals: []
  mastery_profile: {}
- id: shannon
  title: Shannon
  description: Candidate concept extracted from lesson 'Shannon Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: compute
  title: Compute
  description: Candidate concept extracted from lesson 'Shannon Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: bernoulli
  title: Bernoulli
  description: Candidate concept extracted from lesson 'Shannon Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: mutual-information
  title: Mutual Information
  description: '- Objective: Explain Mutual Information and relate it to dependence
    between signals.

    - Exercise: Compare independent variables with dependent variables using mutual-information
    reasoning.

    This lesson introduces Mutual Information, Dependenc'
  prerequisites:
  - shannon-entropy
  mastery_signals: []
  mastery_profile: {}
- id: mutual
  title: Mutual
  description: Candidate concept extracted from lesson 'Mutual Information'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: compare
  title: Compare
  description: Candidate concept extracted from lesson 'Mutual Information'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: dependence
  title: Dependence
  description: Candidate concept extracted from lesson 'Mutual Information'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: data-compression
  title: Data Compression
  description: '- Objective: Explain lossless compression in terms of entropy and
    typical structure.

    - Exercise: Describe when compression succeeds and when it fails on already-random
    data.

    This lesson covers Data Compression, Redundancy, and Efficient Rep'
  prerequisites:
  - mutual-information
  mastery_signals: []
  mastery_profile: {}
- id: data
  title: Data
  description: Candidate concept extracted from lesson 'Data Compression'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: compression
  title: Compression
  description: Candidate concept extracted from lesson 'Data Compression'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: describe
  title: Describe
  description: Candidate concept extracted from lesson 'Data Compression'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: redundancy
  title: Redundancy
  description: Candidate concept extracted from lesson 'Data Compression'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: huffman-coding
  title: Huffman Coding
  description: '- Objective: Explain Huffman Coding and justify why shorter codewords
    should track more likely symbols.

    - Exercise: Build a Huffman code for a small source alphabet.

    This lesson focuses on Huffman Coding, Prefix Codes, and Expected Length.'
  prerequisites:
  - data-compression
  mastery_signals: []
  mastery_profile: {}
- id: huffman
  title: Huffman
  description: Candidate concept extracted from lesson 'Huffman Coding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: coding
  title: Coding
  description: Candidate concept extracted from lesson 'Huffman Coding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: build
  title: Build
  description: Candidate concept extracted from lesson 'Huffman Coding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: prefix
  title: Prefix
  description: Candidate concept extracted from lesson 'Huffman Coding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: channel-capacity
  title: Channel Capacity
  description: '- Objective: Explain Channel Capacity as a limit on reliable communication
    over noisy channels.

    - Exercise: State why reliable transmission above capacity is impossible in the
    long run.

    This lesson develops Channel Capacity, Reliable Commun'
  prerequisites:
  - huffman-coding
  mastery_signals: []
  mastery_profile: {}
- id: channel
  title: Channel
  description: Candidate concept extracted from lesson 'Channel Capacity'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: capacity
  title: Capacity
  description: Candidate concept extracted from lesson 'Channel Capacity'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: state
  title: State
  description: Candidate concept extracted from lesson 'Channel Capacity'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: reliable
  title: Reliable
  description: Candidate concept extracted from lesson 'Channel Capacity'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: channel-coding
  title: Channel Coding
  description: '- Objective: Explain how Channel Coding adds structure that protects
    messages against noise.

    - Exercise: Contrast uncoded transmission with coded transmission on a noisy channel.

    This lesson connects Channel Coding, Decoding, and Reliabilit'
  prerequisites:
  - channel-capacity
  mastery_signals: []
  mastery_profile: {}
- id: contrast
  title: Contrast
  description: Candidate concept extracted from lesson 'Channel Coding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: decoding
  title: Decoding
  description: Candidate concept extracted from lesson 'Channel Coding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: error-correcting-codes
  title: Error Correcting Codes
  description: '- Objective: Explain how Error Correcting Codes detect or correct
    symbol corruption.

    - Exercise: Describe a simple parity-style code and its limits.

    This lesson covers Error Correcting Codes, Parity, and Syndrome-style reasoning.
    The learne'
  prerequisites:
  - channel-coding
  mastery_signals: []
  mastery_profile: {}
- id: error
  title: Error
  description: Candidate concept extracted from lesson 'Error Correcting Codes'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: correcting
  title: Correcting
  description: Candidate concept extracted from lesson 'Error Correcting Codes'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: codes
  title: Codes
  description: Candidate concept extracted from lesson 'Error Correcting Codes'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: cryptography-and-information-hiding
  title: Cryptography and Information Hiding
  description: '- Objective: Explain the relationship between secrecy, information
    leakage, and coded communication.

    - Exercise: Compare a secure scheme with a weak one in terms of revealed information.

    This lesson combines Cryptography, Information Leakag'
  prerequisites:
  - error-correcting-codes
  mastery_signals: []
  mastery_profile: {}
- id: cryptography
  title: Cryptography
  description: Candidate concept extracted from lesson 'Cryptography and Information
    Hiding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: hiding
  title: Hiding
  description: Candidate concept extracted from lesson 'Cryptography and Information
    Hiding'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: thermodynamics-and-entropy
  title: Thermodynamics and Entropy
  description: '- Objective: Explain how thermodynamic entropy relates to, and differs
    from, Shannon entropy.

    - Exercise: Compare the two entropy notions and identify what is preserved across
    the analogy.

    This lesson connects Thermodynamics, Entropy, and P'
  prerequisites:
  - cryptography-and-information-hiding
  mastery_signals: []
  mastery_profile: {}
- id: thermodynamics
  title: Thermodynamics
  description: Candidate concept extracted from lesson 'Thermodynamics and Entropy'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: course-synthesis
  title: Course Synthesis
  description: '- Objective: Synthesize the course by connecting entropy, coding,
    reliability, and physical interpretation in one coherent narrative.

    - Exercise: Produce a final study guide that links source coding, channel coding,
    secrecy, and thermodynam'
  prerequisites:
  - thermodynamics-and-entropy
  mastery_signals: []
  mastery_profile: {}
- id: course
  title: Course
  description: Candidate concept extracted from lesson 'Course Synthesis'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: synthesis
  title: Synthesis
  description: Candidate concept extracted from lesson 'Course Synthesis'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: synthesize
  title: Synthesize
  description: Candidate concept extracted from lesson 'Course Synthesis'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}
- id: produce
  title: Produce
  description: Candidate concept extracted from lesson 'Course Synthesis'.
  prerequisites: []
  mastery_signals: []
  mastery_profile: {}