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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course emphasizes statistics as a powerful tool for studying complex issues in behavioral and biological sciences, and explores the limitations of statistics as a method of inquiry. The course covers descriptive statistics, probability and random variables, inferential statistics, and basic issues in experimental design. Techniques int
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Tag(s):
- brain and cognitive sciences
- statistics
- standard deviation
- anova
- variance
- chi squared
- mean
- median
- spread
- graphs
- histograms
- binomial distribution
- random variables
- sampling
- experimental design
- probability
- confidence intervals
- error bars
- best fit
- hypothesis testing
- linear regression
- regression
- correlation
- categorical data
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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An historical examination and analysis of the evolution and development of games and game mechanics. Topics include a large breadth of genres and types of games, including sports, game shows, games of chance, schoolyard games, board games, roleplaying games, and digital games. Students submit essays documenting research and analysis of a va
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Tag(s):
- comparative media studies
- a
- games
- narrative
- playtesting
- student work
- student notes
- chance
- competition
- information
- probability
- strategy
- theory
- symbolism
- rules
- gambling
- emergence
- progression
- randomness
- cooperation
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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The course introduces statistical theory to prepare students for the remainder of the econometrics sequence. The emphasis of the course is to understand the basic principles of statistical theory. A brief review of probability will be given; however, this material is assumed knowledge. The course also covers basic regression analysis. Topic
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Tag(s):
- economics
- statistical theory
- econometrics
- regression analysis
- probability
- random samples
- asymptotic methods
- point estimation
- evaluation of estimators
- cramer-rao theorem
- hypothesis tests
- neyman pearson lemma
- likelihood ratio test
- interval estimation
- best linear predictor
- best linear approximation
- conditional expectation function
- buildi
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course focuses on the algorithmic and machine learning foundations of computational biology, combining theory with practice. We study the principles of algorithm design for biological datasets, and analyze influential problems and techniques. We use these to analyze real datasets from large-scale studies in genomics and proteomics. The
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Tag(s):
- electrical engineering and computer science
- computational biology
- algorithms
- machine learning
- biology
- biological datasets
- genomics
- proteomics
- genomes
- sequence analysis
- sequence alignment
- genome assembly
- network motifs
- network evolution
- graph algorithms
- phylogenetics
- comparative genomics
- python
- probability
- statistics
- entropy
- information
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course explores the ultimate limits to communication and computation, with an emphasis on the physical nature of information and information processing. Topics include: information and computation, digital signals, codes and compression, applications such as biological representations of information, logic circuits, computer architectu
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Tag(s):
- electrical engineering and computer science
- information and entropy
- computing
- communications
- thermodynamics
- digital signals and streams
- codes
- compression
- noise
- probability
- reversible operations
- irreversible operations
- information in biological systems
- channel capacity
- maximum-entropy formalism
- thermodynamic equilibrium
- temperature
- second law of thermodynamics quantum
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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ERBA (ESD.72) emphasizes three methodologies - reliability and probabilistic risk assessment (RPRA), decision analysis (DA), and cost-benefit analysis (CBA). In this class, the issues of interest are: the risks associated with large engineering projects such as nuclear power reactors, the International Space Station, and critical infrastruc
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Tag(s):
- engineering systems division
- risk analysis
- decision analysis
- uncertainty
- cost-benefit analysis
- remedial action alternative
- probability
- utility functions
- environmental remediation
- risk aversion
- multistage decision models
- axioms of rational behavior
- design decisions
- fault-tolerant design
- risk management
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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In this class, students use data and systems knowledge to build models of complex socio-technical systems for improved system design and decision-making. Students will enhance their model-building skills, through review and extension of functions of random variables, Poisson processes, and Markov processes; move from applied probability to
Author(s):
Tag(s):
- engineering systems division
- statistics
- statistical model
- modelling
- probability
- probabilistic model
- risk assessment
- system analysis
- system design
- systems engineering
- distributions
- poisson
- markov
- queuing theory
- congestion
- traffic
- regression
- hypothesis testing
- inference
- operations research
- weibull analysis
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course focuses on the study of problems concerning our concept of knowledge, our knowledge of the past, our knowledge of the thoughts and feelings of ourselves and others, and our knowledge of the existence and properties of physical objects in our immediate environment.
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Tag(s):
- linguistics and philosophy
- philosophy
- knowledge
- belief
- foundationalism
- reliabilism
- epistemology
- ontology
- theory
- reliable
- thoughts
- feelings
- existence
- objects
- properties
- physical
- noumenal
- environment
- partial
- external
- world
- skepticism
- empirical
- a priori
- truth
- justified
- justification
- true
- false
- probability
- externalist
- logic
- decision
- choice
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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The class will be devoted to the work of David Lewis, one of the most exciting and influential philosophers of the late twentieth century. We will have seminar-style discussions about his work on counterfactuals, time, causation, probability, and decision-theory.
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Tag(s):
- linguistics and philosophy
- counterfactuals
- comparative possibility
- counterfactual dependence
- time
- causation
- causal explanation
- probability
- subjectivity
- objectivity
- chance
- hume
- supervenience
- decision theory
- prisoners? dilemma
- newcomb problem
- free will
- determinism
- plurality of worlds
- possible worlds
- time travel
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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18.103 picks up where 18.100B (Analysis I) left off. Topics covered include the theory of the Lebesgue integral with applications to probability, Fourier series, and Fourier integrals.
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Tag(s):
- mathematics
- fourier analysis
- lebesgue integral
- probability
- fourier series
- fourier integrals
- bernoulli sequence
- rademacher functions
- fatou's lemma
- banach space
- hilbert spaces
- riemann integrals
- schwartz functions
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course, which is geared toward Freshmen, is an undergraduate seminar on mathematical problem solving. It is intended for students who enjoy solving challenging mathematical problems and who are interested in learning various techniques and background information useful for problem solving. Students in this course are expected to compet
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Tag(s):
- mathematics
- pigeonhole principle
- probability
- congruences and divisibility
- recurrences
- limits
- greatest integer function
- inequalities
- putnam practice
- hidden independence
- roots of polynomials
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course covers the following topics: models of manufacturing systems, including transfer lines and flexible manufacturing systems; calculation of performance measures, including throughput, in-process inventory, and meeting production commitments; real-time control of scheduling; effects of machine failure, set-ups, and other disruption
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Tag(s):
- mechanical engineering
- transfer lines
- flexible manufacturing systems
- performance measures
- throughput
- in-process inventory
- real-time scheduling
- machine failure
- buffer design
- optimization
- probability
- markov chains
- long lines
- quality/quantity
- loops
- assembly/disassembly systems
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course provides students with ways of analyzing manufacturing systems in terms of material flow and storage, information flow, capacities, and times and durations of events. Fundamental topics covered include probability, inventory and queuing models, forecasting, optimization, process analysis, and linear and dynamic systems. This cou
Author(s):
Tag(s):
- mechanical engineering
- manufacturing systems
- material flow and storage
- statistics
- queuing models
- production systems
- flow planning
- probability
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course covers interpretations of the concept of probability. Topics include basic probability rules; random variables and distribution functions; functions of random variables; and applications to quality control and the reliability assessment of mechanical/electrical components, as well as simple structures and redundant systems. The
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Tag(s):
- nuclear engineering
- risk
- uncertainty
- nuclear accident
- disaster
- meltdown
- probability
- risk assessment
- pra
- probabalistic risk assessment
- nureg-1150
- wash-1400
- failure
- applied probability
- applied statistics
- system performance
- mtbf
- decision
- hazard
- fault tree analysis
- event tree analysis
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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Increasingly, political scientists are using game theory to analyze strategic interactions across many different settings. Each of the sub-fields, to differing degrees, has seen game theoretic concepts enter its vocabulary, and students entering the profession will need to understand the potential and limits of game theory. This course aims
Author(s):
Tag(s):
- political science
- game theory
- game theoretic concepts
- games of complete information
- games of incomplete information
- political phenomena
- legislative rules
- nuclear deterrence
- electoral competition
- imperfect markets
- probability
- calculus
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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Communicating With Data has a distinctive structure and content, combining fundamental quantitative techniques of using data to make informed management decisions with illustrations of how real decision makers, even highly trained professionals, fall prey to errors and biases in their understanding. We present the fundamental concepts under
Author(s):
Tag(s):
- management
- quantitative
- data analysis
- graphs
- charts
- factual decisions
- statistics
- communication
- fact-based
- information analysis
- spreadsheets
- models
- probability
- decision analysis
- regression
- simulation
- linear
- nonlinear
- optimization
- data
- analysis
- marketing
- finance
- operations management
- strategy
- operations
- management
- diagrams
- for
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