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4.171 The Space Between Workshop (MIT) 4.171 The Space Between Workshop (MIT)

Description

This workshop explores how designers might become as sensitive to space as they are to objects. Through a number of projects and precedent studies, architectural design is studied in relation to the Space Between. The design process is studied in reverse, considering space first and objects second. This is not to imply that objects are not important, but rather that space is equally important. This workshop explores how designers might become as sensitive to space as they are to objects. Through a number of projects and precedent studies, architectural design is studied in relation to the Space Between. The design process is studied in reverse, considering space first and objects second. This is not to imply that objects are not important, but rather that space is equally important.Subjects

Architecture | Architecture | Tectonics | Tectonics | Place Making | Place Making | Space | Space | Space Between | Space Between | Urban Design | Urban Design | Urban Redesign | Urban Redesign | Village | Village | Neighborhood | Neighborhood | Mixed-use Public Space | Mixed-use Public Space | Light and Space | Light and Space | Affordable Design | Affordable Design | Green Design | Green Design | LEED | LEED | Cultural Understanding | Cultural Understanding | Path | Path | Place | Place | Space as activator. | Space as activator.License

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See all metadata4.171 The Space Between Workshop (MIT)

Description

This workshop explores how designers might become as sensitive to space as they are to objects. Through a number of projects and precedent studies, architectural design is studied in relation to the Space Between. The design process is studied in reverse, considering space first and objects second. This is not to imply that objects are not important, but rather that space is equally important.Subjects

Architecture | Tectonics | Place Making | Space | Space Between | Urban Design | Urban Redesign | Village | Neighborhood | Mixed-use Public Space | Light and Space | Affordable Design | Green Design | LEED | Cultural Understanding | Path | Place | Space as activator.License

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

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See all metadata18.755 Introduction to Lie Groups (MIT) 18.755 Introduction to Lie Groups (MIT)

Description

This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces.Subjects

Manifolds | Manifolds | Lie groups | Lie groups | exponential mapping | exponential mapping | Lie algebras | Lie algebras | Homogeneous spaces | Homogeneous spaces | transformation groups | transformation groups | Adjoint representation | Adjoint representation | Covering groups | Covering groups | Automorphism groups | Automorphism groups | Invariant differential forms | Invariant differential forms | cohomology of Lie groups | cohomology of Lie groups | homogeneous spaces. | homogeneous spaces. | Lie Groups | Lie Groups | Exponential Mapping | Exponential Mapping | Lie Algebras | Lie Algebras | Homogeneous Spaces | Homogeneous Spaces | Transformation Groups | Transformation Groups | Covering Groups | Covering Groups | Automorphism Groups | Automorphism Groups | Invariant Differential Forms | Invariant Differential Forms | Cohomology of Lie Groups | Cohomology of Lie Groups | Homogeneous Spaces. | Homogeneous Spaces.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.htmSite sourced from

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See all metadata12.480 Thermodynamics for Geoscientists (MIT) 12.480 Thermodynamics for Geoscientists (MIT)

Description

Principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. It includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modelling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle. Principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. It includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modelling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle.Subjects

Principles of thermodynamics | Principles of thermodynamics | formation and modification of igneous and metamorphic rocks | formation and modification of igneous and metamorphic rocks | phase equilibria of homogeneous and heterogeneous systems | phase equilibria of homogeneous and heterogeneous systems | thermodynamic modelling of non-ideal crystalline solutions | thermodynamic modelling of non-ideal crystalline solutions | tectonic environments | tectonic environments | crust | crust | mantle | mantle | Ideal Solutions | Ideal Solutions | Non-ideal Solutions | Non-ideal Solutions | Pyroxene Thermometry | Pyroxene Thermometry | Plagioclase Feldspars Solution Models | Plagioclase Feldspars Solution Models | Alkali Feldspars Solution Models | Alkali Feldspars Solution Models | Multi-site Mineral Solutions | Multi-site Mineral Solutions | Homogeneous Equilibria | Homogeneous Equilibria | Quad | Quad | Spinels | Spinels | Rhombohedral Oxides | Rhombohedral Oxides | T-?O2 Relations | T-?O2 Relations | Heterogeneous Equilibria | Heterogeneous Equilibria | Multi-Component Systems | Multi-Component Systems | Liquidus Diagrams | Liquidus Diagrams | Schreinemaker's Analysis | Schreinemaker's Analysis | Composition Space | Composition Space | Gibbs Method | Gibbs Method | Silicate Melts | Silicate Melts | Mixed Volatile Equilibria P-T-XCO2-XH2O | Mixed Volatile Equilibria P-T-XCO2-XH2O | thermodynamic models | thermodynamic models | thermodynamics | thermodynamicsLicense

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See all metadata4.170 Ecuador Workshop (MIT) 4.170 Ecuador Workshop (MIT)

Description

This is a project to assist in the design, drawing, modeling and hopefully constructing of a small Community Children's Center near Guayaquil, Ecuador. For the last year, Nicki Lehrer, from MIT's Aero/Astro Department, has been organizing efforts to build the project. The goal of the workshop is to provide her with a full fleshed out design for the community center so it can be built in the summer of 2007. This is a project to assist in the design, drawing, modeling and hopefully constructing of a small Community Children's Center near Guayaquil, Ecuador. For the last year, Nicki Lehrer, from MIT's Aero/Astro Department, has been organizing efforts to build the project. The goal of the workshop is to provide her with a full fleshed out design for the community center so it can be built in the summer of 2007.Subjects

Ecuador | Ecuador | Pascuales | Pascuales | Guayaquil | Guayaquil | charity | charity | orphanage | orphanage | community center | community center | poverty | poverty | wealth | wealth | giving | giving | public space | public space | architecture | architecture | tectonics | tectonics | place making | place making | space | space | Space Between | Space Between | urban design | urban design | urban redesign | urban redesign | village | village | neighborhood | neighborhood | mixed-use public space | mixed-use public space | light and space | light and space | affordable design | affordable design | green design | green design | LEED | LEED | cultural understanding | cultural understanding | path | path | place | place | space as activator | space as activatorLicense

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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The project for this studio is to design a demonstration project for a site near the French Quarter in New Orleans. The objectives of the project are the following: To design more intense housing, community, educational and commercial facilities in four to six story buildings. To explore the "space between" buildings as a way of designing and shaping objects. To design at three scales - dwelling, cluster and overall. To design dwellings where the owners may be able to help build and gain a skill for employment. To provide/design facilities that can help the residents to gain education and skills. The project for this studio is to design a demonstration project for a site near the French Quarter in New Orleans. The objectives of the project are the following: To design more intense housing, community, educational and commercial facilities in four to six story buildings. To explore the "space between" buildings as a way of designing and shaping objects. To design at three scales - dwelling, cluster and overall. To design dwellings where the owners may be able to help build and gain a skill for employment. To provide/design facilities that can help the residents to gain education and skills.Subjects

architecture | architecture | tectonics | tectonics | place making | place making | space | space | Space Between | Space Between | urban design | urban design | urban redesign | urban redesign | village | village | neighborhood | neighborhood | mixed-use public space | mixed-use public space | light and space | light and space | affordable design | affordable design | green design | green design | LEED | LEED | cultural understanding | cultural understanding | path | path | place | place | space as activator | space as activatorLicense

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 subject introduces skills needed to build within a landscape establishing continuities between the built and natural world. Students learn to build appropriately through analysis of landscape and climate for a chosen site, and to conceptualize design decisions through drawings and models. This class was taught concurrently with 4.125B. Some of the assignments are the same, some are different, and the sites for the final project are different. But since they were taught in tandem, it would be useful to look at both together. This subject introduces skills needed to build within a landscape establishing continuities between the built and natural world. Students learn to build appropriately through analysis of landscape and climate for a chosen site, and to conceptualize design decisions through drawings and models. This class was taught concurrently with 4.125B. Some of the assignments are the same, some are different, and the sites for the final project are different. But since they were taught in tandem, it would be useful to look at both together.Subjects

architecture | architecture | tectonics | tectonics | place making | place making | space | space | Space Between | Space Between | urban design | urban design | urban redesign | urban redesign | village | village | neighborhood | neighborhood | mixed-use public space | mixed-use public space | light and space | light and space | affordable design | affordable design | green design | green design | LEED | LEED | cultural understanding | cultural understanding | path | path | place | place | space as activator | space as activatorLicense

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 subject introduces skills needed to build within a landscape establishing continuities between the built and natural world. Students learn to build appropriately through analysis of landscape and climate for a chosen site, and to conceptualize design decisions through drawings and models. This class was taught concurrently with course 4.125A. Some of the assignments are the same, some are different, and the sites for the final project are different. But since they were taught in tandem, it would be useful to look at both together. This subject introduces skills needed to build within a landscape establishing continuities between the built and natural world. Students learn to build appropriately through analysis of landscape and climate for a chosen site, and to conceptualize design decisions through drawings and models. This class was taught concurrently with course 4.125A. Some of the assignments are the same, some are different, and the sites for the final project are different. But since they were taught in tandem, it would be useful to look at both together.Subjects

architecture | architecture | tectonics | tectonics | place making | place making | space | space | Space Between | Space Between | urban design | urban design | urban redesign | urban redesign | village | village | neighborhood | neighborhood | mixed-use public space | mixed-use public space | light and space | light and space | affordable design | affordable design | green design | green design | LEED | LEED | cultural understanding | cultural understanding | path | path | place | place | space as activator | space as activatorLicense

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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Includes audio/video content: AV lectures. Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations, and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes. Students should have mastered the first two courses in the series (Single Variable Calculus and Multivariable Calculus) before taking this course. The series was first released in 1972, but equally valuable today for students who are learning these topics for the first time. Includes audio/video content: AV lectures. Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations, and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes. Students should have mastered the first two courses in the series (Single Variable Calculus and Multivariable Calculus) before taking this course. The series was first released in 1972, but equally valuable today for students who are learning these topics for the first time.Subjects

Complex Variables | Complex Variables | Differential Equations | Differential Equations | Linear Algebra | Linear Algebra | Complex Numbers | Complex Numbers | Conformal Mappings | Conformal Mappings | Sequences and Series | Sequences and Series | Linear Differential Equations | Linear Differential Equations | Undetermined Coefficients | Undetermined Coefficients | Power Series | Power Series | Laplace Transforms | Laplace Transforms | Vector Spaces | Vector Spaces | Spanning Vectors | Spanning Vectors | Constructing Bases | Constructing Bases | Linear Transformations | Linear Transformations | Determinant | Determinant | Eigenvectors | Eigenvectors | Dot Products | Dot Products | Orthogonal Functions | Orthogonal FunctionsLicense

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 metadata8.022 Physics II: Electricity and Magnetism (MIT) 8.022 Physics II: Electricity and Magnetism (MIT)

Description

This course runs parallel to 8.02, but assumes that students have some knowledge of vector calculus. The class introduces Maxwell's equations, in both differential and integral form, along with electrostatic and magnetic vector potential, and the properties of dielectrics and magnetic materials. This class was taught by an undergraduate in the Experimental Study Group (ESG). Student instructors are paired with ESG faculty members, who advise and oversee the students' teaching efforts. This course runs parallel to 8.02, but assumes that students have some knowledge of vector calculus. The class introduces Maxwell's equations, in both differential and integral form, along with electrostatic and magnetic vector potential, and the properties of dielectrics and magnetic materials. This class was taught by an undergraduate in the Experimental Study Group (ESG). Student instructors are paired with ESG faculty members, who advise and oversee the students' teaching efforts.Subjects

Electricity | Electricity | Magnetism | Magnetism | Maxwell's equations | Maxwell's equations | electrostatic potential | electrostatic potential | vector potential | vector potential | dielectrics | dielectrics | Coulomb's Law | Coulomb's Law | Electric Field | Electric Field | Electric Flux | Electric Flux | Gauss's Law | Gauss's Law | Electric Potential Gradient | Electric Potential Gradient | Poisson Equations | Poisson Equations | Laplace Equations | Laplace Equations | Curl | Curl | Conductors | Conductors | Capacitance | Capacitance | Resistance | Resistance | Kirchhoff's Rules | Kirchhoff's Rules | EMF | EMF | RC Circuits | RC Circuits | Th?venin Equivalence | Th?venin Equivalence | Magnetic Force | Magnetic Force | Magnetic Field | Magnetic Field | Ampere's Law | Ampere's Law | Special Relativity | Special Relativity | Spacetime | Spacetime | Biot-Savart Law | Biot-Savart Law | Faraday's Law | Faraday's Law | Lenz's Law | Lenz's Law | RL Circuits | RL Circuits | AC Circuits | AC Circuits | Electromagnetic Radiation | Electromagnetic Radiation | Poynting Vector | Poynting VectorLicense

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 metadata8.962 General Relativity (MIT) 8.962 General Relativity (MIT)

Description

8.962 is MIT's graduate course in general relativity, which covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology. 8.962 is MIT's graduate course in general relativity, which covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology.Subjects

Spacetime | Spacetime | tensors | tensors | special relativity | special relativity | differential geometry | differential geometry | Einstein's equation | Einstein's equation | gravitation | gravitation | cosmological constant | cosmological constant | Hilbert action | Hilbert action | general relativity | general relativity | gravitational waves | gravitational waves | gravitational lensing | gravitational lensing | cosmology | cosmology | Schwarzschild solution | Schwarzschild solution | black holes | black holesLicense

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See all metadata8.01T Physics I (MIT) 8.01T Physics I (MIT)

Description

This freshman-level course is an introduction to classical mechanics. The subject is taught using the TEAL (Technology Enabled Active Learning) format which features small group interaction via table-top experiments utilizing laptops for data acquisition and problem solving workshops. Acknowledgements The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, and the Helena Foundation. This freshman-level course is an introduction to classical mechanics. The subject is taught using the TEAL (Technology Enabled Active Learning) format which features small group interaction via table-top experiments utilizing laptops for data acquisition and problem solving workshops. Acknowledgements The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, and the Helena Foundation.Subjects

classical mechanics | classical mechanics | Space and time | Space and time | straight-line kinematics | straight-line kinematics | motion in a plane | motion in a plane | forces and equilibrium | forces and equilibrium | experimental basis of Newton's laws | experimental basis of Newton's laws | particle dynamics | particle dynamics | universal gravitation | universal gravitation | collisions and conservation laws | collisions and conservation laws | work and potential energy | work and potential energy | vibrational motion | vibrational motion | conservative forces | conservative forces | inertial forces and non-inertial frames | inertial forces and non-inertial frames | central force motions | central force motions | rigid bodies | rigid bodies | rotational dynamics | rotational dynamics | rigid bodies and rotational dynamics | rigid bodies and rotational dynamicsLicense

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 metadata8.022 Physics II: Electricity and Magnetism (MIT) 8.022 Physics II: Electricity and Magnetism (MIT)

Description

Course 8.022 is one of several second-term freshman physics courses offered at MIT. It is geared towards students who are looking for a thorough and challenging introduction to electricity and magnetism. Topics covered include: Electric and magnetic field and potential; introduction to special relativity; Maxwell's equations, in both differential and integral form; and properties of dielectrics and magnetic materials. In addition to the theoretical subject matter, several experiments in electricity and magnetism are performed by the students in the laboratory. Acknowledgments Prof. Sciolla would like to acknowledge the contributions of MIT Professors Scott Hughes and Peter Fisher to the development of this course. She would also like to acknowledge that these course materials include cont Course 8.022 is one of several second-term freshman physics courses offered at MIT. It is geared towards students who are looking for a thorough and challenging introduction to electricity and magnetism. Topics covered include: Electric and magnetic field and potential; introduction to special relativity; Maxwell's equations, in both differential and integral form; and properties of dielectrics and magnetic materials. In addition to the theoretical subject matter, several experiments in electricity and magnetism are performed by the students in the laboratory. Acknowledgments Prof. Sciolla would like to acknowledge the contributions of MIT Professors Scott Hughes and Peter Fisher to the development of this course. She would also like to acknowledge that these course materials include contSubjects

Electricity | Electricity | Magnetism | Magnetism | Maxwell's equations | Maxwell's equations | electrostatic potential | electrostatic potential | vector potential | vector potential | dielectrics | dielectrics | Coulomb's Law | Coulomb's Law | Electric Field | Electric Field | Electric Flux | Electric Flux | Gauss's Law | Gauss's Law | Electric Potential Gradient | Electric Potential Gradient | Poisson Equations | Poisson Equations | Laplace Equations | Laplace Equations | Curl | Curl | Conductors | Conductors | Capacitance | Capacitance | Resistance | Resistance | Kirchhoff's Rules | Kirchhoff's Rules | EMF | EMF | RC Circuits | RC Circuits | Th?venin Equivalence | Th?venin Equivalence | Magnetic Force | Magnetic Force | Magnetic Field | Magnetic Field | Ampere's Law | Ampere's Law | Special Relativity | Special Relativity | Spacetime | Spacetime | Biot-Savart Law | Biot-Savart Law | Faraday's Law | Faraday's Law | Lenz's Law | Lenz's Law | RL Circuits | RL Circuits | AC Circuits | AC Circuits | Electromagnetic Radiation | Electromagnetic Radiation | Poynting Vector | Poynting Vector | Magnetism | Maxwell's equations; | Magnetism | Maxwell's equations;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.htmSite sourced from

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See all metadata8.01 Physics I (MIT) 8.01 Physics I (MIT)

Description

Physics I is a first-year physics course which introduces students to classical mechanics. Topics include: space and time; straight-line kinematics; motion in a plane; forces and equilibrium; experimental basis of Newton's laws; particle dynamics; universal gravitation; collisions and conservation laws; work and potential energy; vibrational motion; conservative forces; inertial forces and non-inertial frames; central force motions; rigid bodies and rotational dynamics. Physics I is a first-year physics course which introduces students to classical mechanics. Topics include: space and time; straight-line kinematics; motion in a plane; forces and equilibrium; experimental basis of Newton's laws; particle dynamics; universal gravitation; collisions and conservation laws; work and potential energy; vibrational motion; conservative forces; inertial forces and non-inertial frames; central force motions; rigid bodies and rotational dynamics.Subjects

classical mechanics | classical mechanics | Space and time | Space and time | straight-line kinematics | straight-line kinematics | motion in a plane | motion in a plane | experimental basis of Newton's laws | experimental basis of Newton's laws | particle dynamics | particle dynamics | universal gravitation | universal gravitation | collisions and conservation laws | collisions and conservation laws | work and potential energy | work and potential energy | vibrational motion | vibrational motion | conservative forces | conservative forces | central force motions | central force motions | inertial forces and non-inertial frames | inertial forces and non-inertial frames | rigid bodies and rotational dynamics | rigid bodies and rotational dynamics | forces and equilibrium | forces and equilibrium | space | space | time | time | space-time | space-time | planar motion | planar motion | forces | forces | equilibrium | equilibrium | Newton?s laws | Newton?s laws | collisions | collisions | conservation laws | conservation laws | work | work | potential energy | potential energy | inertial forces | inertial forces | non-inertial forces | non-inertial forces | rigid bodies | rigid bodies | rotational dynamics | rotational dynamicsLicense

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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The course focuses on the problem of supervised learning within the framework of Statistical Learning Theory. It starts with a review of classical statistical techniques, including Regularization Theory in RKHS for multivariate function approximation from sparse data. Next, VC theory is discussed in detail and used to justify classification and regression techniques such as Regularization Networks and Support Vector Machines. Selected topics such as boosting, feature selection and multiclass classification will complete the theory part of the course. During the course we will examine applications of several learning techniques in areas such as computer vision, computer graphics, database search and time-series analysis and prediction. We will briefly discuss implications of learning theori The course focuses on the problem of supervised learning within the framework of Statistical Learning Theory. It starts with a review of classical statistical techniques, including Regularization Theory in RKHS for multivariate function approximation from sparse data. Next, VC theory is discussed in detail and used to justify classification and regression techniques such as Regularization Networks and Support Vector Machines. Selected topics such as boosting, feature selection and multiclass classification will complete the theory part of the course. During the course we will examine applications of several learning techniques in areas such as computer vision, computer graphics, database search and time-series analysis and prediction. We will briefly discuss implications of learning theoriSubjects

Learning | Learning | Perspective | Perspective | Regularized | Regularized | Kernel Hilbert Spaces | Kernel Hilbert Spaces | Approximation | Approximation | Nonparametric | Nonparametric | Ridge Approximation | Ridge Approximation | Networks | Networks | Finance | Finance | Statistical Learning Theory | Statistical Learning Theory | Consistency | Consistency | Empirical Risk | Empirical Risk | Minimization Principle | Minimization Principle | VC-Dimension | VC-Dimension | VC-bounds | VC-bounds | Regression | Regression | Structural Risk Minimization | Structural Risk Minimization | Support Vector Machines | Support Vector Machines | Kernel Engineering | Kernel Engineering | Computer Vision | Computer Vision | Computer Graphics | Computer Graphics | Neuroscience | Neuroscience | Approximation Error | Approximation Error | Approximation Theory | Approximation Theory | Bioinformatics | Bioinformatics | Bagging | Bagging | Boosting | Boosting | Wavelets | Wavelets | Frames | FramesLicense

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 metadata11.307 Beijing Urban Design Studio (MIT) 11.307 Beijing Urban Design Studio (MIT)

Description

This is the 20th anniversary of the Beijing Urban Design Studio, which is a joint program between the MIT and Tsinghua University Schools of Architecture and Planning. The goal of the studio is to foster international cooperation through the undertaking of a joint urban design and planning initiative in the city of Beijing involving important, often controversial, sites and projects. Since 1995, almost 250 MIT and Tsinghua University students and faculty have participated in this annual studio, making it one of the most successful and enduring international academic programs between China and the U.S. It has received the Irwin Sizer Award from MIT for outstanding innovation in education. The studio takes place over five weeks in June and July including several weeks in residence at Tsinghu This is the 20th anniversary of the Beijing Urban Design Studio, which is a joint program between the MIT and Tsinghua University Schools of Architecture and Planning. The goal of the studio is to foster international cooperation through the undertaking of a joint urban design and planning initiative in the city of Beijing involving important, often controversial, sites and projects. Since 1995, almost 250 MIT and Tsinghua University students and faculty have participated in this annual studio, making it one of the most successful and enduring international academic programs between China and the U.S. It has received the Irwin Sizer Award from MIT for outstanding innovation in education. The studio takes place over five weeks in June and July including several weeks in residence at TsinghuSubjects

China | China | Beijing | Beijing | urban planning | urban planning | international relations | international relations | site planning | site planning | building use | building use | services | services | zoning | zoning | urban improvement | urban improvement | reuse | reuse | green building | green building | cultural understanding | cultural understanding | architecture | architecture | tectonics | tectonics | place making | place making | space | space | Space Between | Space Between | urban design | urban design | urban redesign | urban redesign | village | village | neighborhood | neighborhood | mixed-use public space | mixed-use public space | light and space | light and space | affordable design | affordable design | green design | green design | LEED | LEED | path | path | place | place | space as activator | space as activatorLicense

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 metadata12.480 Thermodynamics for Geoscientists (MIT) 12.480 Thermodynamics for Geoscientists (MIT)

Description

In this course, principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. The course includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modeling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle. In this course, principles of thermodynamics are used to infer the physical conditions of formation and modification of igneous and metamorphic rocks. The course includes phase equilibria of homogeneous and heterogeneous systems and thermodynamic modeling of non-ideal crystalline solutions. It also surveys the processes that lead to the formation of metamorphic and igneous rocks in the major tectonic environments in the Earth's crust and mantle.Subjects

Principles of thermodynamics | Principles of thermodynamics | formation and modification of igneous and metamorphic rocks | formation and modification of igneous and metamorphic rocks | phase equilibria of homogeneous and heterogeneous systems | phase equilibria of homogeneous and heterogeneous systems | thermodynamic modelling of non-ideal crystalline solutions | thermodynamic modelling of non-ideal crystalline solutions | tectonic environments | tectonic environments | crust | crust | mantle | mantle | Ideal Solutions | Ideal Solutions | Non-ideal Solutions | Non-ideal Solutions | Pyroxene Thermometry | Pyroxene Thermometry | Plagioclase Feldspars Solution Models | Plagioclase Feldspars Solution Models | Alkali Feldspars Solution Models | Alkali Feldspars Solution Models | Multi-site Mineral Solutions | Multi-site Mineral Solutions | Homogeneous Equilibria | Homogeneous Equilibria | Quad | Quad | Spinels | Spinels | Rhombohedral Oxides | Rhombohedral Oxides | T-?O2 Relations | T-?O2 Relations | Heterogeneous Equilibria | Heterogeneous Equilibria | Multi-Component Systems | Multi-Component Systems | Liquidus Diagrams | Liquidus Diagrams | Schreinemaker's Analysis | Schreinemaker's Analysis | Composition Space | Composition Space | Gibbs Method | Gibbs Method | Silicate Melts | Silicate Melts | Mixed Volatile Equilibria P-T-XCO2-XH2O | Mixed Volatile Equilibria P-T-XCO2-XH2O | thermodynamic models | thermodynamic models | thermodynamics | thermodynamicsLicense

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See all metadata12.108 Structure of Earth Materials (MIT) 12.108 Structure of Earth Materials (MIT)

Description

This course provides a comprehensive introduction to crystalline structure, crystal chemistry, and bonding in rock-forming minerals. It introduces the theory relating crystal structure and crystal symmetry to physical properties such as refractive index, elastic modulus, and seismic velocity. It surveys the distribution of silicate, oxide, and metallic minerals in the interiors and on the surfaces of planets, and discusses the processes that led to their formation. It also addresses why diamonds are hard and why micas split into thin sheets. This course provides a comprehensive introduction to crystalline structure, crystal chemistry, and bonding in rock-forming minerals. It introduces the theory relating crystal structure and crystal symmetry to physical properties such as refractive index, elastic modulus, and seismic velocity. It surveys the distribution of silicate, oxide, and metallic minerals in the interiors and on the surfaces of planets, and discusses the processes that led to their formation. It also addresses why diamonds are hard and why micas split into thin sheets.Subjects

Crystal Symmetry | Crystal Symmetry | Point Groups | Point Groups | Space Groups | Space Groups | Crystal Chemistry | Crystal Chemistry | Bonding | Bonding | Electron Diffraction | Electron Diffraction | Crystal lattices | Crystal lattices | Tensor Analysis | Tensor Analysis | Optical Properties | Optical Properties | Elastic Properties | Elastic Properties | Magnetic Properties | Magnetic Properties | Stress | Stress | Strain | StrainLicense

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See all metadata12.950 Atmospheric and Oceanic Modeling (MIT) 12.950 Atmospheric and Oceanic Modeling (MIT)

Description

The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail. Widely used numerical methods will be the focus but we will also review emerging concepts and new methods. The numerics underlying a hierarchy of models will be discussed, ranging from simple GFD models to the high-end GCMs. In the context of ocean GCMs, we will describe parameterization of geostrophic eddies, mixing and the surface and bottom boundary layers. In the atmosphere, we will review parameterizations of convection and large scale condensation, the planetary boundary layer and radiative transfer. The numerical methods, formulation and parameterizations used in models of the circulation of the atmosphere and ocean will be described in detail. Widely used numerical methods will be the focus but we will also review emerging concepts and new methods. The numerics underlying a hierarchy of models will be discussed, ranging from simple GFD models to the high-end GCMs. In the context of ocean GCMs, we will describe parameterization of geostrophic eddies, mixing and the surface and bottom boundary layers. In the atmosphere, we will review parameterizations of convection and large scale condensation, the planetary boundary layer and radiative transfer.Subjects

numerical methods | numerical methods | formulation | formulation | parameterizations | parameterizations | models of the circulation of the atmosphere and ocean | models of the circulation of the atmosphere and ocean | numerics underlying a hierarchy of models | numerics underlying a hierarchy of models | simple GFD models | simple GFD models | high-end GCMs | high-end GCMs | ocean GCMs | ocean GCMs | parameterization of geostrophic eddies | parameterization of geostrophic eddies | mixing | mixing | surface and bottom boundary layers | surface and bottom boundary layers | atmosphere | atmosphere | parameterizations of convection | parameterizations of convection | large scale condensation | large scale condensation | planetary boundary layer | planetary boundary layer | radiative transfer | radiative transfer | finite difference method | finite difference method | Spatial discretization | Spatial discretization | numerical dispersion | numerical dispersion | Series expansion | Series expansion | Time-stepping | Time-stepping | Space-time discretization | Space-time discretization | Shallow water dynamics | Shallow water dynamics | Barotropic models | Barotropic models | Quasi-geostrophic equations | Quasi-geostrophic equations | Quasi-geostrophic models | Quasi-geostrophic models | Eddy parameterization | Eddy parameterization | Vertical coordinates | Vertical coordinates | primitive equations | primitive equations | Boundary layer parameterizations | Boundary layer parameterizationsLicense

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See all metadata16.89J Space Systems Engineering (MIT) 16.89J Space Systems Engineering (MIT)

Description

In 16.89 / ESD.352 the students will first be asked to understand the key challenges in designing ground and space telescopes, the stakeholder structure and value flows, and the particular pros and cons of the proposed project. The first half of the class will concentrate on performing a thorough architectural analysis of the key astrophysical, engineering, human, budgetary and broader policy issues that are involved in this decision. This will require the students to carry out a qualitative and quantitative conceptual study during the first half of the semester and recommend a small set of promising architectures for further study at the Preliminary Design Review (PDR).Both lunar surface telescopes as well as orbital locations should be considered.The second half of the class will then pi In 16.89 / ESD.352 the students will first be asked to understand the key challenges in designing ground and space telescopes, the stakeholder structure and value flows, and the particular pros and cons of the proposed project. The first half of the class will concentrate on performing a thorough architectural analysis of the key astrophysical, engineering, human, budgetary and broader policy issues that are involved in this decision. This will require the students to carry out a qualitative and quantitative conceptual study during the first half of the semester and recommend a small set of promising architectures for further study at the Preliminary Design Review (PDR).Both lunar surface telescopes as well as orbital locations should be considered.The second half of the class will then piSubjects

16.89 | 16.89 | ESD.352 | ESD.352 | System Requirements Review | System Requirements Review | Preliminary Design Review | Preliminary Design Review | Critical Design Review | Critical Design Review | Conceptual Design Phase | Conceptual Design Phase | Preliminary Design Phase | Preliminary Design Phase | Detailed Design Phase | Detailed Design Phase | astrophysics | astrophysics | Stakeholder Analysis | Stakeholder Analysis | System Architecture | System Architecture | Radio Astronomy | Radio Astronomy | Space Telescope | Space Telescope | Interferometry | Interferometry | Lunar Logistics | Lunar LogisticsLicense

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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The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture. The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture.Subjects

The Sullivan Conjecture | The Sullivan Conjecture | Steenrod Operations | Steenrod Operations | Adem Relations | Adem Relations | Admissible Monomials | Admissible Monomials | Free Unstable Modules | Free Unstable Modules | Gabriel-Kuhn-Popesco | Gabriel-Kuhn-Popesco | Injectivity of the cohomology of BV | Injectivity of the cohomology of BV | Generating Analytic Functors | Generating Analytic Functors | Tensor products and algebras | Tensor products and algebras | The Dual Steenrod Algebra | The Dual Steenrod Algebra | The Frobenius | The Frobenius | Finiteness Conditions | Finiteness Conditions | Lannes' T-functor | Lannes' T-functor | Free E-infinity Algebras | Free E-infinity Algebras | p-adic Homotopy Theory | p-adic Homotopy Theory | Atomicity | Atomicity | The Arithmetic Square | The Arithmetic Square | Quaternionic Projective Space | Quaternionic Projective Space | The Nil-Filtration | The Nil-Filtration | The Krull Filtration | The Krull FiltrationLicense

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 metadata21M.675 Dance Theory and Composition (MIT) 21M.675 Dance Theory and Composition (MIT)

Description

This course introduces students to the art and formal ideologies of contemporary dance. We explore the aesthetic and technical underpinnings of contemporary dance composition. Basic compositional techniques are discussed and practiced, with an emphasis on principles such as weight, space, time, effort, and shape. Principles of musicality are considered and developed by each student. Working with each other as the raw material of the dance, students develop short compositions that reveal their understanding of basic techniques. Hopefully, students come to understand a range of compositional possibilities available to artists who work with the medium of the human body. This course introduces students to the art and formal ideologies of contemporary dance. We explore the aesthetic and technical underpinnings of contemporary dance composition. Basic compositional techniques are discussed and practiced, with an emphasis on principles such as weight, space, time, effort, and shape. Principles of musicality are considered and developed by each student. Working with each other as the raw material of the dance, students develop short compositions that reveal their understanding of basic techniques. Hopefully, students come to understand a range of compositional possibilities available to artists who work with the medium of the human body.Subjects

Dance | Dance | Theory | Theory | Composition | Composition | Ideology | Ideology | Contemporarym | Contemporarym | Weight | Weight | Space | Space | Time | Time | Effort | Effort | Shape | Shape | Body | Body | Workshop | WorkshopLicense

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See all metadata22.058 Principles of Medical Imaging (MIT) 22.058 Principles of Medical Imaging (MIT)

Description

An introduction to the principles of tomographic imaging and its applications. It includes a series of lectures with a parallel set of recitations that provide demonstrations of basic principles. Both ionizing and non-ionizing radiation are covered, including x-ray, PET, MRI, and ultrasound. Emphasis on the physics and engineering of image formation. An introduction to the principles of tomographic imaging and its applications. It includes a series of lectures with a parallel set of recitations that provide demonstrations of basic principles. Both ionizing and non-ionizing radiation are covered, including x-ray, PET, MRI, and ultrasound. Emphasis on the physics and engineering of image formation.Subjects

general imaging principles | | general imaging principles | | linear optics | | linear optics | | ray tracing | | ray tracing | | Linear Imaging Systems | | Linear Imaging Systems | | Space Invariance | | Space Invariance | | Pin-hole camera | | Pin-hole camera | | Fourier Transformations | | Fourier Transformations | | Modulation Transfer Functions | | Modulation Transfer Functions | | Fourier convolution | | Fourier convolution | | Sampling | | Sampling | | Nyquist | | Nyquist | | counting statistics | | counting statistics | | additive noise | | additive noise | | optical imaging | | optical imaging | | Radiation types | | Radiation types | | Radiation detection | | Radiation detection | | photon detection | | photon detection | | spectra | | spectra | | attenuation | | attenuation | | Planar X-ray imaging | | Planar X-ray imaging | | Projective Imaging | | Projective Imaging | | X-ray CT | | X-ray CT | | Ultrasound | | Ultrasound | | microscopy | k-space | | microscopy | k-space | | NMR pulses | | NMR pulses | | f2-D gradient | | f2-D gradient | | spin echoes | | spin echoes | | 3-D methods of MRI | | 3-D methods of MRI | | volume localized spectroscopy | volume localized spectroscopyLicense

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 metadataModeling the Space Environment Modeling the Space Environment

Description

Effects of space environment on satellite orbits. Numerical models used to compute orbital perturbations. Effects of space environment on satellite orbits. Numerical models used to compute orbital perturbations.Subjects

Orbital perturbations | Orbital perturbations | Space environment | Space environment | Astrodynamics | Astrodynamics | Numerical models | Numerical models | Ingeniería aeroespacial | Ingeniería aeroespacialLicense

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See all metadataThe subterranean sanctuaries of the Somme The subterranean sanctuaries of the Somme

Description

In the British psyche, the 1st July 1916 has become a date that seemingly represents the entirety of the First World War. Type ‘The Battle of the Somme’ into Amazon and it will produce 2945 results, and that’s just in … Continue reading → In the British psyche, the 1st July 1916 has become a date that seemingly represents the entirety of the First World War. Type ‘The Battle of the Somme’ into Amazon and it will produce 2945 results, and that’s just in … Continue reading →License

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