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8.05 Quantum Physics II (MIT) 8.05 Quantum Physics II (MIT)

Description

Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum. Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.Subjects

General formalism of quantum mechanics: states | General formalism of quantum mechanics: states | operators | operators | Dirac notation | Dirac notation | representations | representations | measurement theory | measurement theory | Harmonic oscillator: operator algebra | Harmonic oscillator: operator algebra | states | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | bound and scattering states | qualitative analysis of wavefunctions | qualitative analysis of wavefunctions | Angular momentum: operators | Angular momentum: operators | commutator algebra | commutator algebra | eigenvalues and eigenstates | eigenvalues and eigenstates | spherical harmonics | spherical harmonics | Spin: Stern-Gerlach devices and measurements | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | nuclear magnetic resonance | spin and statistics | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | spin systems | allotropic forms of hydrogen | allotropic forms of hydrogen | Angular momentum | Angular momentum | Harmonic oscillator | Harmonic oscillator | operator algebra | operator algebra | Spin | Spin | Stern-Gerlach devices and measurements | Stern-Gerlach devices and measurements | central potentials and the radial equation | central potentials and the radial equation | Clebsch-Gordan series and coefficients | Clebsch-Gordan series and coefficients | quantum physics | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogen | and allotropic forms of hydrogenLicense

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.htmSite sourced from

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This readings-based course analyzes the structure and operation of government systems in developing countries, with particular emphasis on regional and local governments. Major topics include: the role of decentralization in national economic reform programs, the potential impact of decentralized governments on local economic development, determination of optimal arrangements for sharing fiscal responsibilities among levels of government, evaluation of local revenue and expenditure decisions, and assessment of prospects and options for intergovernmental fiscal reform. Emphasis is on basic economic concerns, with consideration given to political, institutional, and cultural factors. This readings-based course analyzes the structure and operation of government systems in developing countries, with particular emphasis on regional and local governments. Major topics include: the role of decentralization in national economic reform programs, the potential impact of decentralized governments on local economic development, determination of optimal arrangements for sharing fiscal responsibilities among levels of government, evaluation of local revenue and expenditure decisions, and assessment of prospects and options for intergovernmental fiscal reform. Emphasis is on basic economic concerns, with consideration given to political, institutional, and cultural factors.Subjects

basic economic concerns | basic economic concerns | political | political | institutional | institutional | and cultural factors | and cultural factors | decentralization in national economic reform programs | decentralization in national economic reform programs | the potential impact of decentralized governments on local economic development | the potential impact of decentralized governments on local economic development | determination of optimal arrangements for sharing fiscal responsibilities among levels of government | determination of optimal arrangements for sharing fiscal responsibilities among levels of government | evaluation of local revenue and expenditure decisions | evaluation of local revenue and expenditure decisions | assessment of prospects and options for intergovernmental fiscal reform | assessment of prospects and options for intergovernmental fiscal reform | political | institutional | and cultural factors | political | institutional | and cultural factors | developing countries | developing countries | public goods | public goods | externalities | externalities | economic development | economic development | balance sheets | balance sheets | fiscal gap | fiscal gap | revenues | revenues | expenditures | expenditures | budget deficits | budget deficits | inflation | inflation | public finance theory | public finance theory | efficiency | efficiency | optimal taxation | optimal taxation | optimal user fees | optimal user fees | basic microeconomic theory | basic microeconomic theory | equity | equity | incidence | incidence | general equilibrium model | general equilibrium model | property taxation | property taxation | tax reform | tax reform | intergovernmental fiscal relations | intergovernmental fiscal relations | fiscal federalism | fiscal federalism | decentralization | decentralization | transfers | transfers | international lending agencies | international lending agencies | programming assistance | programming assistance | conditionalities | conditionalities | public debt | public debt | structural adjustment | structural adjustment | private sector participation | private sector participation | microfinance | microfinanceLicense

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.htmSite sourced from

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This readings-based course analyzes the structure and operation of government systems in developing countries, with particular emphasis on regional and local governments. Major topics include: the role of decentralization in national economic reform programs; the potential impact of decentralized governments on local economic development; determination of optimal arrangements for sharing fiscal responsibilities among levels of government; evaluation of local revenue and expenditure decisions; and assessment of prospects and options for intergovernmental fiscal reform. Emphasis is on basic economic concerns, with consideration given to political, institutional, and cultural factors. This readings-based course analyzes the structure and operation of government systems in developing countries, with particular emphasis on regional and local governments. Major topics include: the role of decentralization in national economic reform programs; the potential impact of decentralized governments on local economic development; determination of optimal arrangements for sharing fiscal responsibilities among levels of government; evaluation of local revenue and expenditure decisions; and assessment of prospects and options for intergovernmental fiscal reform. Emphasis is on basic economic concerns, with consideration given to political, institutional, and cultural factors.Subjects

basic economic concerns | basic economic concerns | political | political | institutional | institutional | and cultural factors | and cultural factors | decentralization in national economic reform programs | decentralization in national economic reform programs | the potential impact of decentralized governments on local economic development | the potential impact of decentralized governments on local economic development | determination of optimal arrangements for sharing fiscal responsibilities among levels of government | determination of optimal arrangements for sharing fiscal responsibilities among levels of government | evaluation of local revenue and expenditure decisions | evaluation of local revenue and expenditure decisions | assessment of prospects and options for intergovernmental fiscal reform | assessment of prospects and options for intergovernmental fiscal reform | political | institutional | and cultural factors | political | institutional | and cultural factors | developing countries | developing countries | public goods | public goods | externalities | externalities | economic development | economic development | balance sheets | balance sheets | fiscal gap | fiscal gap | revenues | revenues | expenditures | expenditures | budget deficits | budget deficits | inflation | inflation | public finance theory | public finance theory | efficiency | efficiency | optimal taxation | optimal taxation | optimal user fees | optimal user fees | basic microeconomic theory | basic microeconomic theory | equity | equity | incidence | incidence | general equilibrium model | general equilibrium model | property taxation | property taxation | tax reform | tax reform | intergovernmental fiscal relations | intergovernmental fiscal relations | fiscal federalism | fiscal federalism | decentralization | decentralization | transfers | transfers | international lending agencies | international lending agencies | programming assistance | programming assistance | conditionalities | conditionalities | public debt | public debt | structural adjustment | structural adjustment | private sector participation | private sector participation | microfinance | microfinanceLicense

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.htmSite sourced from

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See all metadata8.05 Quantum Physics II (MIT) 8.05 Quantum Physics II (MIT)

Description

This course, along with the next course in this sequence (8.06, Quantum Physics III) in a two-course sequence covering quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three-dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogen This course, along with the next course in this sequence (8.06, Quantum Physics III) in a two-course sequence covering quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three-dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogenSubjects

General formalism of quantum mechanics: states | General formalism of quantum mechanics: states | operators | operators | Dirac notation | Dirac notation | representations | representations | measurement theory | measurement theory | Harmonic oscillator: operator algebra | Harmonic oscillator: operator algebra | states | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | bound and scattering states | qualitative analysis of wavefunctions | qualitative analysis of wavefunctions | Angular momentum: operators | Angular momentum: operators | commutator algebra | commutator algebra | eigenvalues and eigenstates | eigenvalues and eigenstates | spherical harmonics | spherical harmonics | Spin: Stern-Gerlach devices and measurements | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | nuclear magnetic resonance | spin and statistics | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | spin systems | allotropic forms of hydrogen | allotropic forms of hydrogen | Angular momentum | Angular momentum | Harmonic oscillator | Harmonic oscillator | operator algebra | operator algebra | Spin | Spin | Stern-Gerlach devices and measurements | Stern-Gerlach devices and measurements | central potentials and the radial equation | central potentials and the radial equation | Clebsch-Gordan series and coefficients | Clebsch-Gordan series and coefficients | quantum physics | quantum physicsLicense

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.htmSite sourced from

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See all metadata16.07 Dynamics (MIT) 16.07 Dynamics (MIT)

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Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. Dynamics starts with fundamentals of Newtonian mechanics. Further topics include kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering are discussed, including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics.Subjects

Curvilinear motion | Curvilinear motion | carteian coordinates | carteian coordinates | dynamics | dynamics | equations of motion | equations of motion | intrinsic coordinates | intrinsic coordinates | coordinate systems | coordinate systems | work | work | energy | energy | conservative forces | conservative forces | potential energy | potential energy | linear impulse | linear impulse | mommentum | mommentum | angular impulse | angular impulse | relative motion | relative motion | rotating axes | rotating axes | translating axes | translating axes | Newton's second law | Newton's second law | inertial forces | inertial forces | accelerometers | accelerometers | Newtonian relativity | Newtonian relativity | gravitational attraction | gravitational attraction | 2D rigid body kinematics | 2D rigid body kinematics | conservation laws for systems of particles | conservation laws for systems of particles | 2D rigid body dynamics | 2D rigid body dynamics | pendulums | pendulums | 3D rigid body kinematics | 3D rigid body kinematics | 3d rigid body dynamics | 3d rigid body dynamics | inertia tensor | inertia tensor | gyroscopic motion | gyroscopic motion | torque-free motion | torque-free motion | spin stabilization | spin stabilization | variable mass systems | variable mass systems | rocket equation | rocket equation | central foce motion | central foce motion | Keppler's laws | Keppler's laws | orbits | orbits | orbit transfer | orbit transfer | vibration | vibration | spring mass systems | spring mass systems | forced vibration | forced vibration | isolation | isolation | coupled oscillators | coupled oscillators | normal modes | normal modes | wave propagation | wave propagation | cartesian coordinates | cartesian coordinates | momentum | momentum | central force motion | central force motionLicense

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.htmSite sourced from

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See all metadata9.01 Neuroscience and Behavior (MIT) 9.01 Neuroscience and Behavior (MIT)

Description

Relation of structure and function at various levels of neuronal integration. Topics include: functional neuroanatomy and neurophysiology, sensory and motor systems, centrally programmed behavior, sensory systems, sleep and dreaming, motivation and reward, emotional displays of various types, "higher functions" and the neocortex, and neural processes in learning and memory. In order to improve writing skills in describing experiments and reviewing journal publications in neuroscience, students are required to complete four homework assignments and one literature review with revision. Technical RequirementsMedia player software, such as Quicktime Player, RealOne Player, or Windows Media Player, is required to run the .mp3 files found on this cou Relation of structure and function at various levels of neuronal integration. Topics include: functional neuroanatomy and neurophysiology, sensory and motor systems, centrally programmed behavior, sensory systems, sleep and dreaming, motivation and reward, emotional displays of various types, "higher functions" and the neocortex, and neural processes in learning and memory. In order to improve writing skills in describing experiments and reviewing journal publications in neuroscience, students are required to complete four homework assignments and one literature review with revision. Technical RequirementsMedia player software, such as Quicktime Player, RealOne Player, or Windows Media Player, is required to run the .mp3 files found on this couSubjects

functional neuroanatomy | functional neurophysiology | motor systems | centrally programmed behavior | sensory systems | sleep | dreaming | motivation | reward | emotional displays | higher functions" | neocortex | neural processes in learning and memory | functional neuroanatomy | functional neurophysiology | motor systems | centrally programmed behavior | sensory systems | sleep | dreaming | motivation | reward | emotional displays | higher functions" | neocortex | neural processes in learning and memory | functional neuroanatomy | functional neuroanatomy | functional neurophysiology | functional neurophysiology | motor systems | motor systems | centrally programmed behavior | centrally programmed behavior | sensory systems | sensory systems | sleep | sleep | dreaming | dreaming | motivation | motivation | reward | reward | emotional displays | emotional displays | higher functions | higher functions | neocortex | neocortex | neural processes in learning and memory | neural processes in learning and memory | Neurobehavior | NeurobehaviorLicense

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.htmSite sourced from

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See all metadataNewcastle City Centre from the air Newcastle City Centre from the air

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architecture | architecture | aerialviews | aerialviews | stjamespark | stjamespark | stnicholascathedral | stnicholascathedral | eldonsquare | eldonsquare | railways | railways | tyneside | tyneside | greystreet | greystreet | centralstation | centralstation | newcastleupontyne | newcastleupontyne | claytonstreet | claytonstreet | castlekeep | castlekeep | jesmond | jesmond | townmoor | townmoor | graingerstreet | graingerstreet | pilgrimstreet | pilgrimstreet | aerialphotographs | aerialphotographs | colourphotography | colourphotography | greatnorthroad | greatnorthroad | biggmarket | biggmarket | graingermarket | graingermarket | centralmotorway | centralmotorway | northeastengland | northeastengland | newgatestreet | newgatestreet | newcastleciviccentre | newcastleciviccentre | newcastlecitycentre | newcastlecitycentreLicense

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This course examines the economic, political, social, and spatial dynamics of urban growth and decline in cities and their key component areas (downtown, suburbs, etc.). Topics include impacts of industrialization, technology, politics, and social practices on cities. Students will examine the role of public and private sector activities, ranging from zoning and subsidies to infrastructure development and real estate investment, in affecting urban growth and decline. Readings are both theoretical and empirical, with considerable thought paid to comparative and historical differences. This course examines the economic, political, social, and spatial dynamics of urban growth and decline in cities and their key component areas (downtown, suburbs, etc.). Topics include impacts of industrialization, technology, politics, and social practices on cities. Students will examine the role of public and private sector activities, ranging from zoning and subsidies to infrastructure development and real estate investment, in affecting urban growth and decline. Readings are both theoretical and empirical, with considerable thought paid to comparative and historical differences.Subjects

urban growth | urban growth | city structure | city structure | urban history | urban history | economics | economics | urban form and function | urban form and function | inter-urban dynamics | inter-urban dynamics | intra-urban dynamics | intra-urban dynamics | housing | housing | employment | employment | industrialization | industrialization | globalization | globalization | politics | politics | policy | policy | growth management | growth management | de-industrialization | de-industrialization | centralization | centralization | de-centralization | de-centralization | urban renewal | urban renewal | urban decline | urban decline | suburbanization | suburbanization | sprawl | sprawlLicense

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.htmSite sourced from

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See all metadataGreeting members of Marsden Colliery Band Greeting members of Marsden Colliery Band

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Subjects

johngrantham | johngrantham | sheriff | sheriff | walterlee | walterlee | lordmayor | lordmayor | newcastleupontyne | newcastleupontyne | 1920s | 1920s | northeastengland | northeastengland | tyneside | tyneside | marsdencolliery | marsdencolliery | brassband | brassband | centralstation | centralstation | victory | victory | collierybands | collierybands | hats | hats | blackandwhitephotograph | blackandwhitephotograph | digitalimage | digitalimage | socialhistory | socialhistory | archives | archives | servingthecity | servingthecity | unitedkingdom | unitedkingdom | gathering | gathering | unusual | unusual | interesting | interesting | fascinating | fascinating | marsdencollieryband | marsdencollieryband | newcastlecentralstation | newcastlecentralstation | signage | signage | clock | clock | letter | letter | hand | hand | number | number | digit | digit | building | building | ceiling | ceiling | ground | ground | wall | wall | blur | blur | mark | mark | grain | grain | post | post | standing | standing | men | men | woman | woman | nationalbrassbandcontest | nationalbrassbandcontest | crystalpalace | crystalpalace | london | london | 29september1925 | 29september1925 | industry | industry | duty | duty | service | service | cityofnewcastle | cityofnewcastle | blyth | blyth | 1877 | 1877 | uniform | uniform | elegant | elegant | button | button | decoration | decoration | hat | hat | scarf | scarf | tie | tie | shirt | shirt | trousers | trousers | coat | coat | fabric | fabric | crease | crease | shoe | shoe | shine | shine | daylight | daylight | attentive | attentive | distracted | distractedLicense

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This introductory course helps students learn to pose questions and analyze problems in the field of planning in developing countries. Not arguing for one "right" approach, the course draws on grounded empirical experiences - historical and recent - to help students navigate the way they approach their future work in developing-country governments, NGOs and international organizations. This introductory course helps students learn to pose questions and analyze problems in the field of planning in developing countries. Not arguing for one "right" approach, the course draws on grounded empirical experiences - historical and recent - to help students navigate the way they approach their future work in developing-country governments, NGOs and international organizations.Subjects

developing--country governments | developing--country governments | international | international | international organizations | international organizations | NGOs | NGOs | economies of scale | economies of scale | diseconomies of scale | diseconomies of scale | international development planning | international development planning | externality | externality | historical advances in developing and developing countries | historical advances in developing and developing countries | interaction between planners and institutions | interaction between planners and institutions | ecentralization | provision of low-cost housing | ecentralization | provision of low-cost housing | new--town development | new--town development | decentralization | decentralization | provision of low--cost housing | provision of low--cost housing | developing countries | developing countries | national planning | national planning | planners | planners | government institutions | government institutions | national government | national government | local government | local government | low-cost housing | low-cost housing | new-town development | new-town development | reform | reform | politics | politics | patronage | patronage | clientelism | clientelism | corruption | corruption | civil servants | civil servants | service-delivery organizations | service-delivery organizations | public vs. private | public vs. privateLicense

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.htmSite sourced from

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This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation. This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation.Subjects

system identification; estimation; least squares estimation; Kalman filter; noise dynamics; system representation; function approximation theory; neural nets; radial basis functions; wavelets; volterra expansions; informative data sets; persistent excitation; asymptotic variance; central limit theorem; model structure selection; system order estimate; maximum likelihood; unbiased estimates; Cramer-Rao lower bound; Kullback-Leibler information distance; Akaike?s information criterion; experiment design; model validation. | system identification; estimation; least squares estimation; Kalman filter; noise dynamics; system representation; function approximation theory; neural nets; radial basis functions; wavelets; volterra expansions; informative data sets; persistent excitation; asymptotic variance; central limit theorem; model structure selection; system order estimate; maximum likelihood; unbiased estimates; Cramer-Rao lower bound; Kullback-Leibler information distance; Akaike?s information criterion; experiment design; model validation. | system identification | system identification | estimation | estimation | least squares estimation | least squares estimation | Kalman filter | Kalman filter | noise dynamics | noise dynamics | system representation | system representation | function approximation theory | function approximation theory | neural nets | neural nets | radial basis functions | radial basis functions | wavelets | wavelets | volterra expansions | volterra expansions | informative data sets | informative data sets | persistent excitation | persistent excitation | asymptotic variance | asymptotic variance | central limit theorem | central limit theorem | model structure selection | model structure selection | system order estimate | system order estimate | maximum likelihood | maximum likelihood | unbiased estimates | unbiased estimates | Cramer-Rao lower bound | Cramer-Rao lower bound | Kullback-Leibler information distance | Kullback-Leibler information distance | Akaike?s information criterion | Akaike?s information criterion | experiment design | experiment design | model validation | model validationLicense

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.htmSite sourced from

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See all metadata11.487 Urban Public Finance in Developing Countries (MIT)

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This readings-based course analyzes the structure and operation of government systems in developing countries, with particular emphasis on regional and local governments. Major topics include: the role of decentralization in national economic reform programs; the potential impact of decentralized governments on local economic development; determination of optimal arrangements for sharing fiscal responsibilities among levels of government; evaluation of local revenue and expenditure decisions; and assessment of prospects and options for intergovernmental fiscal reform. Emphasis is on basic economic concerns, with consideration given to political, institutional, and cultural factors.Subjects

basic economic concerns | political | institutional | and cultural factors | decentralization in national economic reform programs | the potential impact of decentralized governments on local economic development | determination of optimal arrangements for sharing fiscal responsibilities among levels of government | evaluation of local revenue and expenditure decisions | assessment of prospects and options for intergovernmental fiscal reform | political | institutional | and cultural factors | developing countries | public goods | externalities | economic development | balance sheets | fiscal gap | revenues | expenditures | budget deficits | inflation | public finance theory | efficiency | optimal taxation | optimal user fees | basic microeconomic theory | equity | incidence | general equilibrium model | property taxation | tax reform | intergovernmental fiscal relations | fiscal federalism | decentralization | transfers | international lending agencies | programming assistance | conditionalities | public debt | structural adjustment | private sector participation | microfinanceLicense

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

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Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogenLicense

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.htmSite sourced from

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Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogenLicense

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

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See all metadata11.487 Urban Public Finance in Developing Countries (MIT)

Description

This readings-based course analyzes the structure and operation of government systems in developing countries, with particular emphasis on regional and local governments. Major topics include: the role of decentralization in national economic reform programs, the potential impact of decentralized governments on local economic development, determination of optimal arrangements for sharing fiscal responsibilities among levels of government, evaluation of local revenue and expenditure decisions, and assessment of prospects and options for intergovernmental fiscal reform. Emphasis is on basic economic concerns, with consideration given to political, institutional, and cultural factors.Subjects

basic economic concerns | political | institutional | and cultural factors | decentralization in national economic reform programs | the potential impact of decentralized governments on local economic development | determination of optimal arrangements for sharing fiscal responsibilities among levels of government | evaluation of local revenue and expenditure decisions | assessment of prospects and options for intergovernmental fiscal reform | political | institutional | and cultural factors | developing countries | public goods | externalities | economic development | balance sheets | fiscal gap | revenues | expenditures | budget deficits | inflation | public finance theory | efficiency | optimal taxation | optimal user fees | basic microeconomic theory | equity | incidence | general equilibrium model | property taxation | tax reform | intergovernmental fiscal relations | fiscal federalism | decentralization | transfers | international lending agencies | programming assistance | conditionalities | public debt | structural adjustment | private sector participation | microfinanceLicense

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

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Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogenLicense

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.htmSite sourced from

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See all metadata8.04 Quantum Physics I (MIT) 8.04 Quantum Physics I (MIT)

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Includes audio/video content: AV lectures. This course covers the experimental basis of quantum physics. It introduces wave mechanics, SchrÃ¶dinger's equation in a single dimension, and SchrÃ¶dinger's equation in three dimensions.It is the first course in the undergraduate Quantum Physics sequence, followed by 8.05 Quantum Physics II and 8.06 Quantum Physics III. Includes audio/video content: AV lectures. This course covers the experimental basis of quantum physics. It introduces wave mechanics, SchrÃ¶dinger's equation in a single dimension, and SchrÃ¶dinger's equation in three dimensions.It is the first course in the undergraduate Quantum Physics sequence, followed by 8.05 Quantum Physics II and 8.06 Quantum Physics III.Subjects

quantum physics: photoelectric effect | quantum physics: photoelectric effect | Compton scattering | Compton scattering | photons | photons | Franck-Hertz experiment | Franck-Hertz experiment | the Bohr atom | the Bohr atom | electron diffraction | electron diffraction | deBroglie waves | deBroglie waves | wave-particle duality of matter and light | wave-particle duality of matter and light | wave mechanics: Schroedinger's equation | wave mechanics: Schroedinger's equation | wave functions | wave functions | wave packets | wave packets | probability amplitudes | probability amplitudes | stationary states | stationary states | the Heisenberg uncertainty principle | the Heisenberg uncertainty principle | zero-point energies | zero-point energies | transmission and reflection at a barrier | transmission and reflection at a barrier | barrier penetration | barrier penetration | potential wells | potential wells | simple harmonic oscillator | simple harmonic oscillator | Schroedinger's equation in three dimensions: central potentials | and introduction to hydrogenic systems | Schroedinger's equation in three dimensions: central potentials | and introduction to hydrogenic systemsLicense

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.htmSite sourced from

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See all metadata18.366 Random Walks and Diffusion (MIT) 18.366 Random Walks and Diffusion (MIT)

Description

Mathematical modeling of diffusion phenomena: Central limit theorems, the continuum limit, first passage, persistence, continuous-time random walks, Levy flights, fractional calculus, random environments, advection-diffusion, nonlinear diffusion, free-boundary problems. Applications may include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities. Mathematical modeling of diffusion phenomena: Central limit theorems, the continuum limit, first passage, persistence, continuous-time random walks, Levy flights, fractional calculus, random environments, advection-diffusion, nonlinear diffusion, free-boundary problems. Applications may include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.Subjects

Discrete and continuum modeling of diffusion processes in physics | Discrete and continuum modeling of diffusion processes in physics | chemistry | chemistry | and economics | and economics | central limit theorems | central limit theorems | ontinuous-time random walks | ontinuous-time random walks | Levy flights | Levy flights | correlations | correlations | extreme events | extreme events | mixing | mixing | renormalization | renormalization | and percolation | and percolationLicense

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.htmSite sourced from

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See all metadataMonte Sinai. Egipto Monte Sinai. Egipto

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fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | francismilletrogers | francismilletrogers | francis | francis | millet | millet | rogers | rogers | montesinai | montesinai | egipto | egipto | mosteiroortodoxodesantacatarina | mosteiroortodoxodesantacatarina | mosteiro | mosteiro | ortodoxo | ortodoxo | santacatarina | santacatarina | arquitecturareligiosa | arquitecturareligiosa | arquitectura | arquitectura | altar | altar | capelacentral | capelacentral | capela | capela | ícones | íconesLicense

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fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | francismilletrogers | francismilletrogers | francis | francis | millet | millet | rogers | rogers | montesinai | montesinai | egipto | egipto | mosteiroortodoxodesantacatarina | mosteiroortodoxodesantacatarina | mosteiro | mosteiro | ortodoxo | ortodoxo | santacatarina | santacatarina | arquitecturareligiosa | arquitecturareligiosa | arquitectura | arquitectura | altar | altar | capelacentral | capelacentral | capela | capela | ícones | íconesLicense

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fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | francismilletrogers | francismilletrogers | francis | francis | millet | millet | rogers | rogers | montesinai | montesinai | egipto | egipto | mosteiroortodoxodesantacatarina | mosteiroortodoxodesantacatarina | mosteiro | mosteiro | ortodoxo | ortodoxo | santacatarina | santacatarina | arquitecturareligiosa | arquitecturareligiosa | arquitectura | arquitectura | altar | altar | capelacentral | capelacentral | capela | capela | ícones | íconesLicense

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fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | francismilletrogers | francismilletrogers | francis | francis | millet | millet | rogers | rogers | montesinai | montesinai | egipto | egipto | mosteiroortodoxodesantacatarina | mosteiroortodoxodesantacatarina | mosteiro | mosteiro | ortodoxo | ortodoxo | santacatarina | santacatarina | arquitecturareligiosa | arquitecturareligiosa | arquitectura | arquitectura | altar | altar | capelacentral | capelacentral | capela | capela | ícones | íconesLicense

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fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | francismilletrogers | francismilletrogers | francis | francis | millet | millet | rogers | rogers | montesinai | montesinai | egipto | egipto | mosteiroortodoxodesantacatarina | mosteiroortodoxodesantacatarina | mosteiro | mosteiro | ortodoxo | ortodoxo | santacatarina | santacatarina | arquitecturareligiosa | arquitecturareligiosa | arquitectura | arquitectura | altar | altar | capelacentral | capelacentral | capela | capela | ícones | íconesLicense

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See all metadata8.09 Classical Mechanics III (MIT) 8.09 Classical Mechanics III (MIT)

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This course covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. It provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos. This course covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. It provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos.Subjects

Lagrangian mechanics | Lagrangian mechanics | Hamiltonian mechanics | Hamiltonian mechanics | systems with constraints | systems with constraints | rigid body dynamics | rigid body dynamics | vibrations | vibrations | central forces | central forces | Hamilton-Jacobi theory | Hamilton-Jacobi theory | action-angle variables | action-angle variables | perturbation theory | perturbation theory | continuous systems | continuous systems | ideal fluid mechanics | ideal fluid mechanics | viscous fluid mechanics | viscous fluid mechanics | turbulence | turbulence | nonlinear dynamics | nonlinear dynamics | chaos | chaosLicense

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.htmSite sourced from

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See all metadataMonte Sinai. Egipto Monte Sinai. Egipto

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fundaçãocaloustegulbenkian | fundaçãocaloustegulbenkian | gulbenkian | gulbenkian | bibliotecadearte | bibliotecadearte | biblioteca | biblioteca | arte | arte | francismilletrogers | francismilletrogers | francis | francis | millet | millet | rogers | rogers | montesinai | montesinai | egipto | egipto | mosteiroortodoxodesantacatarina | mosteiroortodoxodesantacatarina | mosteiro | mosteiro | ortodoxo | ortodoxo | santacatarina | santacatarina | arquitecturareligiosa | arquitecturareligiosa | arquitectura | arquitectura | altar | altar | capelacentral | capelacentral | capela | capela | ícones | íconesLicense

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