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Readme file for Distributed Web Systems

Description

This readme file contains details of links to all the Distributed Web Systems module's material held on Jorum and information about the module as well.

Subjects

ukoer | web system tutorial | distributed system tutorial | web systems tutorial | distributed system lecture | web systems lecture | web system lecture | introduction to distributed systems lecture | interprocess communications | tomcat reading material | distributed systems architecture | interprocess communications lecture | distributed systems architecture quiz | web systems | distributed system | web system | servlets practical | distributed systems lecture | servlets tutorial | distributed systems quiz | java networking practical | distributed objects and remote method invocation lecture | distributed objects and rmi quiz | time and global state lecture | distributed systems architectures | distributed web systems | distributed web system | remote methods invocation practical | distributed systems | java servlet | transactions and currency control quiz | coordination and agreement lecture | coordination and agreement quiz | time control practical | replication lecture | java servlets | election algorithms practical | mvc approach practical | introduction to distributed web systems | distributed file systems lecture | cookies tutorial | session tracking tutorial | distributed objects lecture | web system quiz | distributed system quiz | web system practical | distributed web systems practical | distributed web system practical | distributed web system quiz | interprocess communication practical | distributed systems tutorial | distributed system practical | distributed web systems tutorial | distributed web systems lecture | distributed web systems quiz | distributed systems practical | java servlet practical | java servlets practical | interprocess communication quiz | distributed systems architectures quiz | distributed objects | distributed systems architecture lecture | distributed web system lecture | java servlet reading material | web system reading material | java servlets reading material | web systems reading material | distributed web systems reading material | distributed web system reading material | v | introduction to distributed web systems lecture | java servlets lecture | distributed web system tutorial | cookies and session tracking tutorial | distributed object lecture | distributed objects and remote method invocation practical | remote method invocation lecture | web systems quiz | fundamental models in distributed systems quiz | interprocess communications practical | web systems practical | request data tutorial | response data tutorial | servlet tutorial | java servlets tutorial | fundamental models in distributed systems lecture | interprocess communications quiz | interprocess communication lecture | distributed systems architectures lecture | distributed system reading material | distributed systems reading material | java servlet lecture | distributed objects quiz | remote method invocation quiz | distributed objects and remote method invocation quiz | distributed object quiz | fundamental models in distributed systems practical | time and global states lecture | java server pages tutorial | java server page tutorial | jsp tutorial | time and global state quiz | time and global states quiz | remote method invocation practical | distributed objects practical | distributed object practical | transactions and currency control lecture | transaction lecture | concurrency lecture | concurrency control lecture | transaction quiz | concurrency quiz | concurrency control quiz | request data practical | response data practical | servlet practical | cookies practical | session tracking practical | cookies and session tracking practical | time and global state practical | time and global states practical | java server pages practical | java server page practical | jsp practical | java beans tutorial | replication quiz | p2p lecture | peer to peer systems lecture | peer to peer system lecture | model-view-controller architecture tutorial | p2p quiz | peer to peer systems quiz | peer to peer system quiz | coordination and agreement practical | java beans practical | name services lecture | name service lecture | name services quiz | name service quiz | model-view-controller architecture practical | web services lecture | semantic web lecture | web services quiz | semantic web quiz | web services practical | semantic web practical | distributed file systems quiz | interprocess communication | fundamental models in distributed systems | request data | response data | servlet | remote method invocation | distributed objects and remote method invocation | distributed object | cookies | session tracking | cookies and session tracking | time and global state | time and global states | java server pages | java server page | jsp | transactions and currency control | transaction | concurrency | concurrency control | coordination and agreement | replication | java beans | p2p | peer to peer systems | peer to peer system | model-view-controller architecture | name services | name service | web services | semantic web | distributed file systems | jdbc tutorial | java database connectivity tutorial | jdbc practical | java database connectivity practical | jdbc | java database connectivity | Computer science | I100

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Readme file for Structured Systems Analysis

Description

This readme file contains details of links to all the Readme file for Structured Systems Analysis module's material held on Jorum and information about the module as well.

Subjects

ukoer | current logical data flow diagram example | current logical data flow diagram exercise | current logical data flow diagram teaching guide | current logical data flow diagram video lecture | current logical data flow diagram | current logical data flow diagrams example | current logical data flow diagrams exercise | current logical data flow diagrams teaching guide | current logical data flow diagrams video lecture | current logical data flow diagrams | current logical dfd example | current logical dfd exercise | current logical dfd teaching guide | current logical dfd video lecture | current logical dfd | current logical dfds example | current logical dfds exercise | current logical dfds lecture | current logical dfds teaching guide | data dictionary example | data dictionary exercise | data dictionary lecture | data dictionary reading material | data dictionary teaching guide | data dictionary video lecture | data dictionary | data example | data exercise | data flow diagram example | data flow diagram exercise | data flow diagram reading material | data flow diagram teaching guide | data flow diagram video lecture | data flow diagram | data flow diagrams example | data flow diagrams exercise | data flow diagrams reading material | data flow diagrams teaching guide | data flow diagrams video lecture | data flow diagrams | data reading material | data teaching guide | data video lecture | data | decision table and tree example | decision table and tree exercise | decision table and tree reading material | decision table and tree teaching guide | decision table and tree video lecture | decision table and tree | decision table example | decision table exercise | decision table reading material | decision table teaching guide | decision table video lecture | decision table | decision tables and trees example | decision tables and trees lecture | decision tables and trees reading material | decision tables example | decision tables exercise | decision tables reading material | decision tables teaching guide | decision tables video lecture | decision tables | decision tree example | decision tree exercise | decision tree reading material | decision tree teaching guide | decision tree video lecture | decision tree | decision trees and decision tables exercise | decision trees and decision tables teaching guide | decision trees and decision tables video lecture | decision trees and decision tables | decision trees example | decision trees exercise | decision trees reading material | decision trees teaching guide | decision trees video lecture | decision trees | dfd example | dfd exercise | dfd reading material | dfd teaching guide | dfd video lecture | dfd | dfds example | dfds exercise | dfds reading material | dfds teaching guide | dfds video lecture | dfds | exploding data flow diagrams example | exploding data flow diagrams exercise | exploding data flow diagrams reading material | exploding data flow diagrams teaching guide | exploding data flow diagrams | exploding dfd example | exploding dfd exercise | exploding dfd reading material | exploding dfd teaching guide | exploding dfd | logical data flow diagram example | logical data flow diagram exercise | logical data flow diagram reading material | logical data flow diagram teaching guide | logical data flow diagram video lecture | logical data flow diagram | logical data flow diagrams example | logical data flow diagrams exercise | logical data flow diagrams teaching guide | logical data flow diagrams video lecture | logical data flow diagrams | logical dfd example | logical dfd exercise | logical dfd reading material | logical dfd teaching guide | logical dfd video lecture | logical dfd | logical dfds example | logical dfds exercise | logical dfds reading material | logical dfds teaching guide | logical dfds video lecture | logical dfds | project management practical | project management reading material | project management task guide | project management teaching guide | project management | quality management | quality managment reading material | quality managment task guide | required logical data flow diagram example | required logical data flow diagram exercise | required logical data flow diagram reading material | required logical data flow diagram teaching guide | required logical data flow diagram video lecture | required logical data flow diagram | required logical data flow diagrams example | required logical data flow diagrams exercise | required logical data flow diagrams reading material | required logical data flow diagrams teaching guide | required logical data flow diagrams video lecture | required logical data flow diagrams | required logical dfd example | required logical dfd exercise | required logical dfd reading material | required logical dfd teaching guide | required logical dfd video lecture | required logical dfd | required logical dfds example | required logical dfds exercise | required logical dfds lecture | required logical dfds reading material | required logical dfds teaching guide | structured chart example | structured chart exercise | structured chart reading material | structured chart teaching guide | structured chart video lecture | structured chart | structured charts example | structured charts exercise | structured charts lecture | structured charts reading material | structured charts teaching guide | structured charts video lecture | structured charts | structured english example | structured english exercise | structured english lecture | structured english teaching guide | structured english video lecture | structured english | structured system analysis example | structured system analysis exercise | structured system analysis lecture | structured system analysis practical | structured system analysis reading material | structured system analysis task guide | structured system analysis teaching guide | structured system analysis video lecture | structured system analysis | structured systems analysis example | structured systems analysis exercise | structured systems analysis lecture | structured systems analysis practical | structured systems analysis reading material | structured systems analysis task guide | structured systems analysis teaching guide | structured systems analysis video lecture | structured systems analysis | structured walkthroughs reading material | system analysis example | system analysis exercise | system analysis lecture | system analysis practical | system analysis reading material | system analysis task guide | system analysis teaching guide | system analysis video lecture | system analysis | systems analysis example | systems analysis exercise | systems analysis lecture | systems analysis practical | systems analysis reading material | systems analysis task guide | systems analysis teaching guide | systems analysis video lecture | systems analysis | techniques in methods lecture | techniques in methods teaching guide | techniques in methods | uml | univeral modelling language lecture | univeral modelling language | universal modeling language lecture | universal modeling language | current logical dfds video lecture | current logical dfds | exploding dfds example | exploding dfds exercise | exploding dfds reading material | exploding dfds teaching guide | exploding dfds | levelling dfds example | levelling dfds exercise | levelling dfds reading material | levelling dfds teaching guide | levelling dfds | required logical dfds video lecture | required logical dfds | uml lecture | Computer science | I100

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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8.322 Quantum Theory II (MIT) 8.322 Quantum Theory II (MIT)

Description

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation. 8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Subjects

uncertainty relation | uncertainty relation | observables | observables | eigenstates | eigenstates | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | quantization | quantization | EM radiation field | EM radiation field | electromagnetic radiation field | electromagnetic radiation field | adiabatic theorem | adiabatic theorem | Berry?s phase | Berry?s phase | many-particle systems | many-particle systems | Dirac equation | Dirac equation | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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 http://ocw.mit.edu/terms/index.htm

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8.321 Quantum Theory I (MIT) 8.321 Quantum Theory I (MIT)

Description

8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement. 8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement.

Subjects

eigenstates | eigenstates | uncertainty relation | uncertainty relation | observables | observables | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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 http://ocw.mit.edu/terms/index.htm

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Geometría Gráfica Informática en Arquitectura I Geometría Gráfica Informática en Arquitectura I

Description

Teoría geométrica del objeto arquitectónico con herramientas informáticas. Esta asignatura se ocupa del estudio de las formas espaciales relacionadas con la arquitectura y de su representación, mediante el uso de los medios informáticos. Puede considerarse, en parte, como una profundización y ampliación de los conocimientos adquiridos por el alumno en Geometría Descriptiva; por otro lado, supone la aplicación, según los medios informáticos, de conceptos referentes a la expresión gráfica aprendidos en otras asignaturas de este mismo Área. Teoría geométrica del objeto arquitectónico con herramientas informáticas. Esta asignatura se ocupa del estudio de las formas espaciales relacionadas con la arquitectura y de su representación, mediante el uso de los medios informáticos. Puede considerarse, en parte, como una profundización y ampliación de los conocimientos adquiridos por el alumno en Geometría Descriptiva; por otro lado, supone la aplicación, según los medios informáticos, de conceptos referentes a la expresión gráfica aprendidos en otras asignaturas de este mismo Área.

Subjects

Bóveda | Bóveda | Expresión Gráfica en la Ingeniería | Expresión Gráfica en la Ingeniería | Módulo | Módulo | 3D network | 3D network | Laboratorios Jorba | Laboratorios Jorba | Modelado | Modelado | Extrusión | Extrusión | Construcciones Arquitectónicas | Construcciones Arquitectónicas | Red plana | Red plana | Mezquita Mihrimah | Mezquita Mihrimah | Orden toscano | Orden toscano | Dome | Dome | Platonic solids | Platonic solids | Dibujo | Dibujo | Booleana | Booleana | Graphic | Graphic | Solid | Solid | Dibujo 3D | Dibujo 3D | Arquitecto | Arquitecto | Architect | Architect | Poliedros semirregulares | Poliedros semirregulares | Hiperboloides | Hiperboloides | Polyhedron | Polyhedron | NURBS | NURBS | Render | Render | Malla | Malla | Computing | Computing | Ermita de la Virgen del Puerto | Ermita de la Virgen del Puerto | Surface | Surface | Particiones | Particiones | Historia del Arte | Historia del Arte | Poliedros regulares | Poliedros regulares | Red 3D | Red 3D | Choisy | Choisy | Axonometric | Axonometric | Network | Network | Pattern | Pattern | Geométrico | Geométrico | Mosque | Mosque | Spatial | Spatial | Sinan | Sinan | Red | Red | 3D | 3D | Form | Form | Perspectiva | Perspectiva | Ordenador | Ordenador | Ismael Garcia Rios | Ismael Garcia Rios | Lacería | Lacería | Paraboloides | Paraboloides | Axonometría | Axonometría | Souto de Moura | Souto de Moura | Revolve | Revolve | Kingo Houses | Kingo Houses | Santa María del Naranco | Santa María del Naranco | Pedro de Ribera | Pedro de Ribera | Regular tessellations | Regular tessellations | Expresión Gráfica Arquitectónica | Expresión Gráfica Arquitectónica | Architecture | Architecture | Molina de Aragón | Molina de Aragón | Tessellations | Tessellations | Ponte de Lima | Ponte de Lima | Arabesco | Arabesco | compactación | compactación | Pantheon | Pantheon | Computer | Computer | Eduardo Torroja | Eduardo Torroja | Fernández del Amo | Fernández del Amo | Ribbed vault | Ribbed vault | Organic architecture | Organic architecture | Superficie cuádrica | Superficie cuádrica | Arquitectura | Arquitectura | Miguel Fisac | Miguel Fisac | Crecimiento orgánico | Crecimiento orgánico | Autocad | Autocad | Symmetrical polyhedra | Symmetrical polyhedra | Rhinoceros | Rhinoceros | Domical vault | Domical vault | Templete de los Evangelistas | Templete de los Evangelistas | Gráfica | Gráfica | Luigi Canina | Luigi Canina | MicroStation | MicroStation | Irregular tessellations | Irregular tessellations | Patio de los Evangelistas | Patio de los Evangelistas | Composición Arquitectónica | Composición Arquitectónica | Sabil | Sabil | Modelling | Modelling | quadric surface | quadric surface | Mesh | Mesh | Panteón | Panteón | Monasterio de El Escorial | Monasterio de El Escorial | Superficie | Superficie | Tunnel vault | Tunnel vault | Vegaviana | Vegaviana | Iglesia Santos Apóstoles | Iglesia Santos Apóstoles | Proyectos Arquitectónicos | Proyectos Arquitectónicos | Parabólicos | Parabólicos | Geometry | Geometry | Carmen Garcia Reig | Carmen Garcia Reig | Expression | Expression | Cuba hiperbólica | Cuba hiperbólica | Red espacial | Red espacial | Geometría | Geometría | skeletal polyhedra | skeletal polyhedra | Bóveda de rincón de claustro | Bóveda de rincón de claustro | Sólido | Sólido | Poliedros platónicos | Poliedros platónicos | Hiperbólicos | Hiperbólicos | Perspective | Perspective | Mimbar | Mimbar | Fedala | Fedala | Furniture | Furniture | Polygon | Polygon | Hyperbolic | Hyperbolic | Bóveda de arista | Bóveda de arista | Revolución | Revolución | Cúpula | Cúpula | Bóveda de cañón | Bóveda de cañón | Estructura | Estructura | Expresión | Expresión | Computer aided design | Computer aided design | Informática | Informática | Hollow faced polyhedra | Hollow faced polyhedra | Flexible | Flexible | Geometric | Geometric | CAD | CAD | Formas | Formas | Bóveda de crucería | Bóveda de crucería | Infografía | Infografía | Polyhedra | Polyhedra | Groin vault | Groin vault | Plane | Plane | Architectural | Architectural | Plano | Plano | Structure | Structure | Architectural drawing | Architectural drawing | Arquitectónica | Arquitectónica | Barrel vault | Barrel vault | Arabesque | Arabesque | Sombra | Sombra | Utzon | Utzon | Escher | Escher | Mueble | Mueble | Vault | Vault | Annular vault | Annular vault | Egipto | Egipto | Polígono | Polígono | Archimedean solids | Archimedean solids | Poliedros arquimedianos | Poliedros arquimedianos | Egypt | Egypt | Paraboloid | Paraboloid | Module | Module | Extrude | Extrude | Boolean | Boolean | Tuscan Order | Tuscan Order | Hyperboloid | Hyperboloid | Poliedros vacuus | Poliedros vacuus

License

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14.121 Microeconomic Theory I (MIT) 14.121 Microeconomic Theory I (MIT)

Description

This half-semester course provides an introduction to microeconomic theory designed to meet the needs of students in the economics Ph.D. program. Some parts of the course are designed to teach material that all graduate students should know. Others are used to introduce methodologies. Topics include consumer and producer theory, markets and competition, general equilibrium, and tools of comparative statics and their application to price theory. Some topics of recent interest may also be covered. This half-semester course provides an introduction to microeconomic theory designed to meet the needs of students in the economics Ph.D. program. Some parts of the course are designed to teach material that all graduate students should know. Others are used to introduce methodologies. Topics include consumer and producer theory, markets and competition, general equilibrium, and tools of comparative statics and their application to price theory. Some topics of recent interest may also be covered.

Subjects

microeconomic theory | microeconomic theory | demand theory | demand theory | producer theory; partial equilibrium | producer theory; partial equilibrium | competitive markets | competitive markets | general equilibrium | general equilibrium | externalities | externalities | Afriat's theorem | Afriat's theorem | pricing | pricing | robust comparative statics | robust comparative statics | utility theory | utility theory | properties of preferences | properties of preferences | choice as primitive | choice as primitive | revealed preference | revealed preference | classical demand theory | classical demand theory | Kuhn-Tucker necessary conditions | Kuhn-Tucker necessary conditions | implications of Walras?s law | implications of Walras?s law | indirect utility functions | indirect utility functions | theorem of the maximum (Berge?s theorem) | theorem of the maximum (Berge?s theorem) | expenditure minimization problem | expenditure minimization problem | Hicksian demands | Hicksian demands | compensated law of demand | compensated law of demand | Slutsky substitution | Slutsky substitution | price changes and welfare | price changes and welfare | compensating variation | compensating variation | and welfare from new goods | and welfare from new goods | price indexes | price indexes | bias in the U.S. consumer price index | bias in the U.S. consumer price index | integrability | integrability | demand aggregation | demand aggregation | aggregate demand and welfare | aggregate demand and welfare | Frisch demands | Frisch demands | and demand estimation | and demand estimation | increasing differences | increasing differences | producer theory applications | producer theory applications | the LeCh?telier principle | the LeCh?telier principle | Topkis? theorem | Topkis? theorem | Milgrom-Shannon monotonicity theorem | Milgrom-Shannon monotonicity theorem | monopoly pricing | monopoly pricing | monopoly and product quality | monopoly and product quality | nonlinear pricing | nonlinear pricing | and price discrimination | and price discrimination | simple models of externalities | simple models of externalities | government intervention | government intervention | Coase theorem | Coase theorem | Myerson-Sattherthwaite proposition | Myerson-Sattherthwaite proposition | missing markets | missing markets | price vs. quantity regulations | price vs. quantity regulations | Weitzman?s analysis | Weitzman?s analysis | uncertainty | uncertainty | common property externalities | common property externalities | optimization | optimization | equilibrium number of boats | equilibrium number of boats | welfare theorems | welfare theorems | uniqueness and determinacy | uniqueness and determinacy | price-taking assumption | price-taking assumption | Edgeworth box | Edgeworth box | welfare properties | welfare properties | Pareto efficiency | Pareto efficiency | Walrasian equilibrium with transfers | Walrasian equilibrium with transfers | Arrow-Debreu economy | Arrow-Debreu economy | separating hyperplanes | separating hyperplanes | Minkowski?s theorem | Minkowski?s theorem | Existence of Walrasian equilibrium | Existence of Walrasian equilibrium | Kakutani?s fixed point theorem | Kakutani?s fixed point theorem | Debreu-Gale-Kuhn-Nikaido lemma | Debreu-Gale-Kuhn-Nikaido lemma | additional properties of general equilibrium | additional properties of general equilibrium | Microfoundations | Microfoundations | core | core | core convergence | core convergence | general equilibrium with time and uncertainty | general equilibrium with time and uncertainty | Jensen?s inequality | Jensen?s inequality | and security market economy | and security market economy | arbitrage pricing theory | arbitrage pricing theory | and risk-neutral probabilities | and risk-neutral probabilities | Housing markets | Housing markets | competitive equilibrium | competitive equilibrium | one-sided matching house allocation problem | one-sided matching house allocation problem | serial dictatorship | serial dictatorship | two-sided matching | two-sided matching | marriage markets | marriage markets | existence of stable matchings | existence of stable matchings | incentives | incentives | housing markets core mechanism | housing markets core mechanism

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 http://ocw.mit.edu/terms/index.htm

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6.453 Quantum Optical Communication (MIT) 6.453 Quantum Optical Communication (MIT)

Description

This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola

Subjects

Quantum optics: Dirac notation quantum mechanics | Quantum optics: Dirac notation quantum mechanics | harmonic oscillator quantization | harmonic oscillator quantization | number states | number states | coherent states | coherent states | and squeezed states | and squeezed states | radiation field quantization and quantum field propagation | radiation field quantization and quantum field propagation | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | beam splitters | beam splitters | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | heterodyne detection | heterodyne detection | and homodyne detection. Second-order nonlinear optics: phasematched interactions | and homodyne detection. Second-order nonlinear optics: phasematched interactions | optical parametric amplifiers | optical parametric amplifiers | generation of squeezed states | generation of squeezed states | photon-twin beams | photon-twin beams | non-classical fourth-order interference | non-classical fourth-order interference | and polarization entanglement. Quantum systems theory: optimum binary detection | and polarization entanglement. Quantum systems theory: optimum binary detection | quantum precision measurements | quantum precision measurements | quantum cryptography | quantum cryptography | and quantum teleportation. | and quantum teleportation.

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6.453 Quantum Optical Communication (MIT) 6.453 Quantum Optical Communication (MIT)

Description

This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following.  Quantum optics: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; radiation field quantization and quantum field propagation; P-representation and classical fields.  Linear loss and linear amplification: commutator preservation and the Uncertainty Principle; beam splitters; phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection, heterodyne detection, and homodyne detection.&a This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following.  Quantum optics: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; radiation field quantization and quantum field propagation; P-representation and classical fields.  Linear loss and linear amplification: commutator preservation and the Uncertainty Principle; beam splitters; phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection, heterodyne detection, and homodyne detection.&a

Subjects

Quantum optics: Dirac notation quantum mechanics | Quantum optics: Dirac notation quantum mechanics | harmonic oscillator quantization | harmonic oscillator quantization | number states | coherent states | and squeezed states | number states | coherent states | and squeezed states | radiation field quantization and quantum field propagation | radiation field quantization and quantum field propagation | P-representation and classical fields | P-representation and classical fields | Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | beam splitters | beam splitters | phase-insensitive and phase-sensitive amplifiers | phase-insensitive and phase-sensitive amplifiers | Quantum photodetection: direct detection | heterodyne detection | and homodyne detection | Quantum photodetection: direct detection | heterodyne detection | and homodyne detection | Second-order nonlinear optics: phasematched interactions | Second-order nonlinear optics: phasematched interactions | optical parametric amplifiers | optical parametric amplifiers | generation of squeezed states | photon-twin beams | non-classical fourth-order interference | and polarization entanglement | generation of squeezed states | photon-twin beams | non-classical fourth-order interference | and polarization entanglement | Quantum systems theory: optimum binary detection | Quantum systems theory: optimum binary detection | quantum precision measurements | quantum precision measurements | quantum cryptography | quantum cryptography | quantum teleportation | quantum teleportation

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6.453 Quantum Optical Communication (MIT) 6.453 Quantum Optical Communication (MIT)

Description

This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola

Subjects

Quantum optics: Dirac notation quantum mechanics | Quantum optics: Dirac notation quantum mechanics | harmonic oscillator quantization | harmonic oscillator quantization | number states | number states | coherent states | coherent states | and squeezed states | and squeezed states | radiation field quantization and quantum field propagation | radiation field quantization and quantum field propagation | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | beam splitters | beam splitters | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | heterodyne detection | heterodyne detection | and homodyne detection. Second-order nonlinear optics: phasematched interactions | and homodyne detection. Second-order nonlinear optics: phasematched interactions | optical parametric amplifiers | optical parametric amplifiers | generation of squeezed states | generation of squeezed states | photon-twin beams | photon-twin beams | non-classical fourth-order interference | non-classical fourth-order interference | and polarization entanglement. Quantum systems theory: optimum binary detection | and polarization entanglement. Quantum systems theory: optimum binary detection | quantum precision measurements | quantum precision measurements | quantum cryptography | quantum cryptography | and quantum teleportation. | and quantum teleportation.

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18.336 Numerical Methods for Partial Differential Equations (MIT) 18.336 Numerical Methods for Partial Differential Equations (MIT)

Description

This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods. This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

Subjects

advection equation | advection equation | heat equation | heat equation | wave equation | wave equation | Airy equation | Airy equation | convection-diffusion problems | convection-diffusion problems | KdV equation | KdV equation | hyperbolic conservation laws | hyperbolic conservation laws | Poisson equation | Poisson equation | Stokes problem | Stokes problem | Navier-Stokes equations | Navier-Stokes equations | interface problems | interface problems | consistency | consistency | stability | stability | convergence | convergence | Lax equivalence theorem | Lax equivalence theorem | error analysis | error analysis | Fourier approaches | Fourier approaches | staggered grids | staggered grids | shocks | shocks | front propagation | front propagation | preconditioning | preconditioning | multigrid | multigrid | Krylov spaces | Krylov spaces | saddle point problems | saddle point problems | finite differences | finite differences | finite volumes | finite volumes | finite elements | finite elements | ENO/WENO | ENO/WENO | spectral methods | spectral methods | projection approaches for incompressible ows | projection approaches for incompressible ows | level set methods | level set methods | particle methods | particle methods | direct and iterative methods | direct and iterative methods

License

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Geometría Gráfica Informática en Arquitectura II Geometría Gráfica Informática en Arquitectura II

Description

La asignatura trata de la profundización en el estudio geométrico con medios informáticos del hecho arquitectónico, considerado globalmente desde su complejidad espacial, compositiva, constructiva y estructural. La asignatura trata de la profundización en el estudio geométrico con medios informáticos del hecho arquitectónico, considerado globalmente desde su complejidad espacial, compositiva, constructiva y estructural.

Subjects

Bóveda | Bóveda | Patio de los Reyes | Patio de los Reyes | Expresión Gráfica en la Ingeniería | Expresión Gráfica en la Ingeniería | Módulo | Módulo | 3D network | 3D network | Andrea Palladio | Andrea Palladio | Modelado | Modelado | Extrusión | Extrusión | Construcciones Arquitectónicas | Construcciones Arquitectónicas | Dome | Dome | Tracery | Tracery | Rothwell – Northamptonshire | Rothwell – Northamptonshire | Los Manantiales | Los Manantiales | Dibujo | Dibujo | Paraboloid | Paraboloid | Graphic | Graphic | Solid | Solid | Dibujo 3D | Dibujo 3D | Arquitecto | Arquitecto | Architect | Architect | Hiperboloides | Hiperboloides | geodesic dome | geodesic dome | Render | Render | Malla | Malla | Computing | Computing | Catedral de León | Catedral de León | Surface | Surface | Historia del Arte | Historia del Arte | Red 3D | Red 3D | Gráfica | Gráfica | Geométrico | Geométrico | Spatial | Spatial | Red | Red | 3D | 3D | Form | Form | Hiperbólicos | Hiperbólicos | Ordenador | Ordenador | Ismael Garcia Rios | Ismael Garcia Rios | Booleana | Booleana | Paraboloides | Paraboloides | Axonometría | Axonometría | Revolve | Revolve | NURBS | NURBS | Félix Candela | Félix Candela | Rascacielos | Rascacielos | Expresión Gráfica Arquitectónica | Expresión Gráfica Arquitectónica | Architecture | Architecture | Minerva Médica | Minerva Médica | Bars | Bars | Barajas | Barajas | Computer | Computer | Skycraper | Skycraper | Superficie cuádrica | Superficie cuádrica | Arquitectura | Arquitectura | Autocad | Autocad | San Vicente de Coyoacán | San Vicente de Coyoacán | Rhinoceros | Rhinoceros | El Escorial | El Escorial | MicroStation | MicroStation | Composición Arquitectónica | Composición Arquitectónica | Modelling | Modelling | quadric surface | quadric surface | Mesh | Mesh | joints | joints | Superficie | Superficie | Nudos | Nudos | Proyectos Arquitectónicos | Proyectos Arquitectónicos | Parabólicos | Parabólicos | Geometry | Geometry | Estructura parabólica | Estructura parabólica | Carmen Garcia Reig | Carmen Garcia Reig | Ventana Gótica | Ventana Gótica | Expression | Expression | Tunnel vault | Tunnel vault | Red espacial | Red espacial | Geometría | Geometría | Sólido | Sólido | Perspectiva | Perspectiva | Church | Church | Cathedral | Cathedral | Minerva Medica Temple | Minerva Medica Temple | Hyperbolic | Hyperbolic | Bóveda de arista | Bóveda de arista | Revolución | Revolución | Cúpula | Cúpula | Estructura | Estructura | Expresión | Expresión | Computer aided design | Computer aided design | Informática | Informática | Rose window | Rose window | Geometric | Geometric | CAD | CAD | Formas | Formas | Infografía | Infografía | Kenilworth Castle | Kenilworth Castle | Plane | Plane | Architectural | Architectural | Barras | Barras | Plano | Plano | Structure | Structure | Architectural drawing | Architectural drawing | Arquitectónica | Arquitectónica | T4 | T4 | Cúpula geodésica | Cúpula geodésica | Ribbed vault | Ribbed vault | Tracería | Tracería | Vault | Vault | Module | Module | Extrude | Extrude | Rosetón | Rosetón | Boolean | Boolean | Hyperboloid | Hyperboloid | Hypar | Hypar

License

Copyright 2009, by the Contributing Authors http://creativecommons.org/licenses/by-nc-sa/3.0/

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10.34 Numerical Methods Applied to Chemical Engineering (MIT) 10.34 Numerical Methods Applied to Chemical Engineering (MIT)

Description

Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. Navier-Stokes), numerical methods in molecular simulation (dynamics, geometry optimization). All methods are presented within the context of chemical engineering problems. Familiarity with structured programming is assumed. The examples will use MATLAB®. Acknowledgements The instructor would like to thank Robert Ashcraft, Sandeep Sharma, David Weingeist, and Nikolay Zaborenko for their work in preparing materials for this course site. Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. Navier-Stokes), numerical methods in molecular simulation (dynamics, geometry optimization). All methods are presented within the context of chemical engineering problems. Familiarity with structured programming is assumed. The examples will use MATLAB®. Acknowledgements The instructor would like to thank Robert Ashcraft, Sandeep Sharma, David Weingeist, and Nikolay Zaborenko for their work in preparing materials for this course site.

Subjects

Matlab | Matlab | modern computational techniques in chemical engineering | modern computational techniques in chemical engineering | mathematical techniques in chemical engineering | mathematical techniques in chemical engineering | linear systems | linear systems | scientific computing | scientific computing | solving sets of nonlinear algebraic equations | solving sets of nonlinear algebraic equations | solving ordinary differential equations | solving ordinary differential equations | solving differential-algebraic (DAE) systems | solving differential-algebraic (DAE) systems | probability theory | probability theory | use of probability theory in physical modeling | use of probability theory in physical modeling | statistical analysis of data estimation | statistical analysis of data estimation | statistical analysis of parameter estimation | statistical analysis of parameter estimation | finite difference techniques | finite difference techniques | finite element techniques | finite element techniques | converting partial differential equations | converting partial differential equations | Navier-Stokes equations | Navier-Stokes equations

License

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8.322 Quantum Theory II (MIT)

Description

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Subjects

uncertainty relation | observables | eigenstates | eigenvalues | probabilities of the results of measurement | transformation theory | equations of motion | constants of motion | Symmetry in quantum mechanics | representations of symmetry groups | Variational and perturbation approximations | Systems of identical particles and applications | Time-dependent perturbation theory | Scattering theory: phase shifts | Born approximation | The quantum theory of radiation | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | probability | measurement | motion equations | motion constants | symmetry groups | quantum mechanics | variational approximations | perturbation approximations | identical particles | time-dependent perturbation theory | scattering theory | phase shifts | quantum theory of radiation | second quantization | many-body theory | relativistic quantum mechanics | one electron | quantization | EM radiation field | electromagnetic radiation field | adiabatic theorem | Berry?s phase | many-particle systems | Dirac equation | Hilbert spaces | time evolution | Schrodinger picture | Heisenberg picture | interaction picture | classical mechanics | path integrals | EM fields | electromagnetic fields | angular momentum | density operators | quantum measurement | quantum statistics | quantum dynamics

License

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Readme file for Real-Time Embedded Systems

Description

This readme file contains details of links to all the Real-Time Embedded Systems module's material held on Jorum and information about the module as well.

Subjects

ukoer | complete rate monotonic scheduling lecture | complete rate monotonic scheduling | complete rating monotonic scheduling lecture | complex rms scheduling lecture | complex rms scheduling | complex scheduling lecture | concurrency and determinism lecture | concurrency and determinism | concurrency lecture | concurrency | cyclic executives lecture | cyclic executives | cyclic scheduling lecture | cyclic scheduling | deadline monotonic scheduling lecture | deadline monotonic scheduling | determinism lecture | determinism | embedded real-time scheduling lecture | embedded real-time scheduling | embedded software development lecture | embedded software development practical | embedded software development quiz | embedded software development | embedded system lecture | embedded system modelling | embedded system | embedded systems lecture | embedded systems modeling lecture | embedded systems modeling quiz | embedded systems modelling lecture | embedded systems modelling quiz | embedded systems modelling | embedded systems | es chararcteristics | inter task communication lecture | inter task communication practical | inter task communication quiz | inter task communication | inter task communications lecture | inter task communications practical | inter task communications quiz | inter-task communications lecture | inter-task communications practical | inter-task communications quiz | inter-task communications | memory management lecture | memory management quiz | memory management | multi-tasking lecture | multi-tasking practical | multi-tasking quiz | multi-tasking | processing interrupts lecture | processing interrupts quiz | processing interrupts | real time embedded system quiz | real-time embedded system lecture | real-time embedded system practical | real-time embedded system quiz | real-time embedded system | real-time embedded systems lecture | real-time embedded systems practical | real-time embedded systems quiz | real-time embedded systems revision lecture | real-time embedded systems revision | real-time embedded systems | real-time operating system lecture | real-time operating system practical | real-time operating system quiz | real-time operating system | real-time operating systems lecture | real-time operating systems practical | real-time operating systems quiz | real-time operating systems | rtes lecture | rtes practical | rtes quiz | rtes | scheduling strategies lecture | scheduling strategies | scheduling strategy lecture | scheduling strategy | simple rate monotonic scheduling lecture | simple rate monotonic scheduling | simple real time system structure | simple real-time system structure lecture | es characteristics lecture | Computer science | I100

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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8.322 Quantum Theory II (MIT)

Description

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Subjects

uncertainty relation | observables | eigenstates | eigenvalues | probabilities of the results of measurement | transformation theory | equations of motion | constants of motion | Symmetry in quantum mechanics | representations of symmetry groups | Variational and perturbation approximations | Systems of identical particles and applications | Time-dependent perturbation theory | Scattering theory: phase shifts | Born approximation | The quantum theory of radiation | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | probability | measurement | motion equations | motion constants | symmetry groups | quantum mechanics | variational approximations | perturbation approximations | identical particles | time-dependent perturbation theory | scattering theory | phase shifts | quantum theory of radiation | second quantization | many-body theory | relativistic quantum mechanics | one electron | quantization | EM radiation field | electromagnetic radiation field | adiabatic theorem | Berry?s phase | many-particle systems | Dirac equation | Hilbert spaces | time evolution | Schrodinger picture | Heisenberg picture | interaction picture | classical mechanics | path integrals | EM fields | electromagnetic fields | angular momentum | density operators | quantum measurement | quantum statistics | quantum dynamics

License

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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail. The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

License

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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

License

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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

License

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Química (Preparación para la Universidad) Química (Preparación para la Universidad)

Description

La experiencia demuestra que los estudiantes de ingeniería, en un porcentaje significativo, carecen de los conocimientos básicos necesarios para cursar con garantía la asignatura de Química de primer curso en la universidad o asignaturas relacionadas con dicha materia. Por esta razón, este curso se ha planteado como repaso de los conocimientos adquiridos en la etapa preuniversitaria para aquellos estudiantes que tienen una base de conocimientos adecuada y, al mismo tiempo, como un recurso de apoyo al aprendizaje para aquellos estudiantes que presentan deficiencias formativas en conceptos básicos de Química. La experiencia demuestra que los estudiantes de ingeniería, en un porcentaje significativo, carecen de los conocimientos básicos necesarios para cursar con garantía la asignatura de Química de primer curso en la universidad o asignaturas relacionadas con dicha materia. Por esta razón, este curso se ha planteado como repaso de los conocimientos adquiridos en la etapa preuniversitaria para aquellos estudiantes que tienen una base de conocimientos adecuada y, al mismo tiempo, como un recurso de apoyo al aprendizaje para aquellos estudiantes que presentan deficiencias formativas en conceptos básicos de Química.

Subjects

Energía libre | Energía libre | Potencial estándar | Potencial estándar | Equilibrios ácido-base | Equilibrios ácido-base | Calor de reacción | Calor de reacción | Producto iónico del agua | Producto iónico del agua | Constante de acidez | Constante de acidez | Constante de basicidad | Constante de basicidad | Alcoholes | Alcoholes | Electrolisis | Electrolisis | Ley de Hess | Ley de Hess | pH | pH | Valoraciones ácido-base | Valoraciones ácido-base | Reacciones redox | Reacciones redox | Estructura molecular | Estructura molecular | Base | Base | Esteres | Esteres | Termoquímica | Termoquímica | Enlace metálico | Enlace metálico | Curso básico de química | Curso básico de química | Enlace iónico | Enlace iónico | Principio de Le Chatêlier | Principio de Le Chatêlier | Pilas galvánicas | Pilas galvánicas | Enlace covalente | Enlace covalente | Estructura atómica | Estructura atómica | Orden de reacción | Orden de reacción | Entropía | Entropía | Oxidante | Oxidante | Cátodo | Cátodo | Sistema termodinámico | Sistema termodinámico | Reacción elemental | Reacción elemental | Equilibrio químico | Equilibrio químico | Formulación inorgánica | Formulación inorgánica | Química básica | Química básica | Tabla de potenciales estándar | Tabla de potenciales estándar | Entalpía | Entalpía | Apoyo para la preparación de los estudios de Ingeniería y Arquitectura | Apoyo para la preparación de los estudios de Ingeniería y Arquitectura | Acido | Acido | Indicadores | Indicadores | Reductor | Reductor | Formulación orgánica | Formulación orgánica | Cinética | Cinética | Constante de velocidad | Constante de velocidad | Hidrocarburos | Hidrocarburos | Orbital molecular | Orbital molecular | Orbital atómico | Orbital atómico | Números cuánticos | Números cuánticos | Ley de acción de masas | Ley de acción de masas | Velocidad de reacción | Velocidad de reacción | Polímeros | Polímeros | Constante de equilibrio | Constante de equilibrio | Anodo | Anodo

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18.156 Differential Analysis (MIT) 18.156 Differential Analysis (MIT)

Description

The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis. The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

Subjects

Sobolev spaces | Sobolev spaces | Fredholm alternative | Fredholm alternative | Variable coefficient elliptic | parabolic and hyperbolic linear partial differential equations | Variable coefficient elliptic | parabolic and hyperbolic linear partial differential equations | Variational methods | Variational methods | Viscosity solutions of fully nonlinear partial differential equations | Viscosity solutions of fully nonlinear partial differential equations | Schauder theory | Schauder theory | Holder estimates | Holder estimates | linear equations | linear equations | second derivatives | second derivatives | elliptic | elliptic | parabolic | parabolic | nonlinear partial differential equations | nonlinear partial differential equations | linear partial differential equations | linear partial differential equations | harmonic functions | harmonic functions | elliptic equations | elliptic equations | parabolic equations | parabolic equations

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18.327 Wavelets, Filter Banks and Applications (MIT) 18.327 Wavelets, Filter Banks and Applications (MIT)

Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications. Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Subjects

Discrete-time filters | Discrete-time filters | convolution | convolution | Fourier transform | Fourier transform | owpass and highpass filters | owpass and highpass filters | Sampling rate change operations | Sampling rate change operations | upsampling and downsampling | upsampling and downsampling | ractional sampling | ractional sampling | interpolation | interpolation | Filter Banks | Filter Banks | time domain (Haar example) and frequency domain | time domain (Haar example) and frequency domain | conditions for alias cancellation and no distortion | conditions for alias cancellation and no distortion | perfect reconstruction | perfect reconstruction | halfband filters and possible factorizations | halfband filters and possible factorizations | Modulation and polyphase representations | Modulation and polyphase representations | Noble identities | Noble identities | block Toeplitz matrices and block z-transforms | block Toeplitz matrices and block z-transforms | polyphase examples | polyphase examples | Matlab wavelet toolbox | Matlab wavelet toolbox | Orthogonal filter banks | Orthogonal filter banks | paraunitary matrices | paraunitary matrices | orthogonality condition (Condition O) in the time domain | orthogonality condition (Condition O) in the time domain | modulation domain and polyphase domain | modulation domain and polyphase domain | Maxflat filters | Maxflat filters | Daubechies and Meyer formulas | Daubechies and Meyer formulas | Spectral factorization | Spectral factorization | Multiresolution Analysis (MRA) | Multiresolution Analysis (MRA) | requirements for MRA | requirements for MRA | nested spaces and complementary spaces; scaling functions and wavelets | nested spaces and complementary spaces; scaling functions and wavelets | Refinement equation | Refinement equation | iterative and recursive solution techniques | iterative and recursive solution techniques | infinite product formula | infinite product formula | filter bank approach for computing scaling functions and wavelets | filter bank approach for computing scaling functions and wavelets | Orthogonal wavelet bases | Orthogonal wavelet bases | connection to orthogonal filters | connection to orthogonal filters | orthogonality in the frequency domain | orthogonality in the frequency domain | Biorthogonal wavelet bases | Biorthogonal wavelet bases | Mallat pyramid algorithm | Mallat pyramid algorithm | Accuracy of wavelet approximations (Condition A) | Accuracy of wavelet approximations (Condition A) | vanishing moments | vanishing moments | polynomial cancellation in filter banks | polynomial cancellation in filter banks | Smoothness of wavelet bases | Smoothness of wavelet bases | convergence of the cascade algorithm (Condition E) | convergence of the cascade algorithm (Condition E) | splines | splines | Bases vs. frames | Bases vs. frames | Signal and image processing | Signal and image processing | finite length signals | finite length signals | boundary filters and boundary wavelets | boundary filters and boundary wavelets | wavelet compression algorithms | wavelet compression algorithms | Lifting | Lifting | ladder structure for filter banks | ladder structure for filter banks | factorization of polyphase matrix into lifting steps | factorization of polyphase matrix into lifting steps | lifting form of refinement equationSec | lifting form of refinement equationSec | Wavelets and subdivision | Wavelets and subdivision | nonuniform grids | nonuniform grids | multiresolution for triangular meshes | multiresolution for triangular meshes | representation and compression of surfaces | representation and compression of surfaces | Numerical solution of PDEs | Numerical solution of PDEs | Galerkin approximation | Galerkin approximation | wavelet integrals (projection coefficients | moments and connection coefficients) | wavelet integrals (projection coefficients | moments and connection coefficients) | convergence | convergence | Subdivision wavelets for integral equations | Subdivision wavelets for integral equations | Compression and convergence estimates | Compression and convergence estimates | M-band wavelets | M-band wavelets | DFT filter banks and cosine modulated filter banks | DFT filter banks and cosine modulated filter banks | Multiwavelets | Multiwavelets

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18.238 Geometry and Quantum Field Theory (MIT) 18.238 Geometry and Quantum Field Theory (MIT)

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory. Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Subjects

perturbative quantum field theory | perturbative quantum field theory | classical field theory | classical field theory | free quantum theories | free quantum theories | Feynman diagrams | Feynman diagrams | Renormalization theory | Renormalization theory | Local operators | Local operators | Operator product expansion | Operator product expansion | Renormalization group equation | Renormalization group equation | classical | classical | field | field | theory | theory | Feynman | Feynman | diagrams | diagrams | free | free | quantum | quantum | theories | theories | local | local | operators | operators | product | product | expansion | expansion | perturbative | perturbative | renormalization | renormalization | group | group | equations | equations | functional | functional | function | function | intergrals | intergrals | operator | operator | QFT | QFT | string | string | physics | physics | mathematics | mathematics | geometry | geometry | geometric | geometric | algebraic | algebraic | topology | topology | number | number | 0-dimensional | 0-dimensional | 1-dimensional | 1-dimensional | d-dimensional | d-dimensional | supergeometry | supergeometry | supersymmetry | supersymmetry | conformal | conformal | stationary | stationary | phase | phase | formula | formula | calculus | calculus | combinatorics | combinatorics | matrix | matrix | mechanics | mechanics | lagrangians | lagrangians | hamiltons | hamiltons | least | least | action | action | principle | principle | limits | limits | formalism | formalism | Feynman-Kac | Feynman-Kac | current | current | charges | charges | Noether?s | Noether?s | theorem | theorem | path | path | integral | integral | approach | approach | divergences | divergences | functional integrals | functional integrals | fee quantum theories | fee quantum theories | renormalization theory | renormalization theory | local operators | local operators | operator product expansion | operator product expansion | renormalization group equation | renormalization group equation | mathematical language | mathematical language | string theory | string theory | 0-dimensional QFT | 0-dimensional QFT | Stationary Phase Formula | Stationary Phase Formula | Matrix Models | Matrix Models | Large N Limits | Large N Limits | 1-dimensional QFT | 1-dimensional QFT | Classical Mechanics | Classical Mechanics | Least Action Principle | Least Action Principle | Path Integral Approach | Path Integral Approach | Quantum Mechanics | Quantum Mechanics | Perturbative Expansion using Feynman Diagrams | Perturbative Expansion using Feynman Diagrams | Operator Formalism | Operator Formalism | Feynman-Kac Formula | Feynman-Kac Formula | d-dimensional QFT | d-dimensional QFT | Formalism of Classical Field Theory | Formalism of Classical Field Theory | Currents | Currents | Noether?s Theorem | Noether?s Theorem | Path Integral Approach to QFT | Path Integral Approach to QFT | Perturbative Expansion | Perturbative Expansion | Renormalization Theory | Renormalization Theory | Conformal Field Theory | Conformal Field Theory | algebraic topology | algebraic topology | algebraic geometry | algebraic geometry | number theory | number theory

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10.34 Numerical Methods Applied to Chemical Engineering (MIT) 10.34 Numerical Methods Applied to Chemical Engineering (MIT)

Description

This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems are presented. Probability theory and its use in physical modeling is covered, as is the statistical analysis of data and parameter estimation. The finite difference and finite element techniques are presented for converting the partial differential equations obtained from transport phenomena to DAE systems. The use of these techniques will be demonstrated throughout the course in the MATLAB® computing environment. This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems are presented. Probability theory and its use in physical modeling is covered, as is the statistical analysis of data and parameter estimation. The finite difference and finite element techniques are presented for converting the partial differential equations obtained from transport phenomena to DAE systems. The use of these techniques will be demonstrated throughout the course in the MATLAB® computing environment.

Subjects

Matlab | Matlab | modern computational techniques in chemical engineering | modern computational techniques in chemical engineering | mathematical techniques in chemical engineering | mathematical techniques in chemical engineering | linear systems | linear systems | scientific computing | scientific computing | solving sets of nonlinear algebraic equations | solving sets of nonlinear algebraic equations | solving ordinary differential equations | solving ordinary differential equations | solving differential-algebraic (DAE) systems | solving differential-algebraic (DAE) systems | probability theory | probability theory | use of probability theory in physical modeling | use of probability theory in physical modeling | statistical analysis of data estimation | statistical analysis of data estimation | statistical analysis of parameter estimation | statistical analysis of parameter estimation | finite difference techniques | finite difference techniques | finite element techniques | finite element techniques | converting partial differential equations | converting partial differential equations

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MAS.865J Quantum Information Science (MIT) MAS.865J Quantum Information Science (MIT)

Description

This is an advanced graduate course on quantum computation and quantum information, for which prior knowledge of quantum mechanics is required. Topics include quantum computation, advanced quantum error correction codes, fault tolerance, quantum algorithms beyond factoring, properties of quantum entanglement, and quantum protocols and communication complexity. This is an advanced graduate course on quantum computation and quantum information, for which prior knowledge of quantum mechanics is required. Topics include quantum computation, advanced quantum error correction codes, fault tolerance, quantum algorithms beyond factoring, properties of quantum entanglement, and quantum protocols and communication complexity.

Subjects

quantum computation | quantum computation | quantum error correction codes | quantum error correction codes | fault tolerance | fault tolerance | quantum algorithms | quantum algorithms | quantum entanglement | quantum entanglement | quantum protocols | quantum protocols | communication complexity | communication complexity | quantum cryptography | quantum cryptography | adiabatic quantum computation | adiabatic quantum computation | MAS.865 | MAS.865 | 6.443 | 6.443 | 8.371 | 8.371

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7.01SC Fundamentals of Biology (MIT) 7.01SC Fundamentals of Biology (MIT)

Description

Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, genetics, and recombinant DNA. These principles are necessary to understanding the basic mechanisms of life and anchor the biological knowledge that is required to understand many of the challenges in everyday life, from human health and disease to loss of biodiversity and environmental quality. Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, genetics, and recombinant DNA. These principles are necessary to understanding the basic mechanisms of life and anchor the biological knowledge that is required to understand many of the challenges in everyday life, from human health and disease to loss of biodiversity and environmental quality.

Subjects

amino acids | amino acids | carboxyl group | carboxyl group | amino group | amino group | side chains | side chains | polar | polar | hydrophobic | hydrophobic | primary structure | primary structure | secondary structure | secondary structure | tertiary structure | tertiary structure | quaternary structure | quaternary structure | x-ray crystallography | x-ray crystallography | alpha helix | alpha helix | beta sheet | beta sheet | ionic bond | ionic bond | non-polar bond | non-polar bond | van der Waals interactions | van der Waals interactions | proton gradient | proton gradient | cyclic photophosphorylation | cyclic photophosphorylation | sunlight | sunlight | ATP | ATP | chlorophyll | chlorophyll | chlorophyll a | chlorophyll a | electrons | electrons | hydrogen sulfide | hydrogen sulfide | biosynthesis | biosynthesis | non-cyclic photophosphorylation | non-cyclic photophosphorylation | photosystem II | photosystem II | photosystem I | photosystem I | cyanobacteria | cyanobacteria | chloroplast | chloroplast | stroma | stroma | thylakoid membrane | thylakoid membrane | Genetics | Genetics | Mendel | Mendel | Mendel's Laws | Mendel's Laws | cloning | cloning | restriction enzymes | restriction enzymes | vector | vector | insert DNA | insert DNA | ligase | ligase | library | library | E.Coli | E.Coli | phosphatase | phosphatase | yeast | yeast | transformation | transformation | ARG1 gene | ARG1 gene | ARG1 mutant yeast | ARG1 mutant yeast | yeast wild-type | yeast wild-type | cloning by complementation | cloning by complementation | Human Beta Globin gene | Human Beta Globin gene | protein tetramer | protein tetramer | vectors | vectors | antibodies | antibodies | human promoter | human promoter | splicing | splicing | mRNA | mRNA | cDNA | cDNA | reverse transcriptase | reverse transcriptase | plasmid | plasmid | electrophoresis | electrophoresis | DNA sequencing | DNA sequencing | primer | primer | template | template | capillary tube | capillary tube | laser detector | laser detector | human genome project | human genome project | recombinant DNA | recombinant DNA | clone | clone | primer walking | primer walking | subcloning | subcloning | computer assembly | computer assembly | shotgun sequencing | shotgun sequencing | open reading frame | open reading frame | databases | databases | polymerase chain reaction (PCR) | polymerase chain reaction (PCR) | polymerase | polymerase | nucleotides | nucleotides | Thermus aquaticus | Thermus aquaticus | Taq polymerase | Taq polymerase | thermocycler | thermocycler | resequencing | resequencing | in vitro fertilization | in vitro fertilization | pre-implantation diagnostics | pre-implantation diagnostics | forensics | forensics | genetic engineering | genetic engineering | DNA sequences | DNA sequences | therapeutic proteins | therapeutic proteins | E. coli | E. coli | disease-causing mutations | disease-causing mutations | cleavage of DNA | cleavage of DNA | bacterial transformation | bacterial transformation | recombinant DNA revolution | recombinant DNA revolution | biotechnology industry | biotechnology industry | Robert Swanson | Robert Swanson | toxin gene | toxin gene | pathogenic bacterium | pathogenic bacterium | biomedical research | biomedical research | S. Pyogenes | S. Pyogenes | origin of replication | origin of replication

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