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18.366 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 percolation

License

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

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12.950 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 parameterizations

License

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

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21M.361 Composing with Computers I (Electronic Music Composition) (MIT) 21M.361 Composing with Computers I (Electronic Music Composition) (MIT)

Description

Includes audio/video content: AV special element audio. This class explores sound and what can be done with it. Sources are recorded from students' surroundings - sampled and electronically generated (both analog and digital). Assignments include composing with the sampled sounds, feedback, and noise, using digital signal processing (DSP), convolution, algorithms, and simple mixing. The class focuses on sonic and compositional aspects rather than technology, math, or acoustics, though these are examined in varying detail. Students complete weekly composition and listening assignments; material for the latter is drawn from sound art, experimental electronica, conventional and non-conventional classical electronic works, popular music, and previous students' compositions. Includes audio/video content: AV special element audio. This class explores sound and what can be done with it. Sources are recorded from students' surroundings - sampled and electronically generated (both analog and digital). Assignments include composing with the sampled sounds, feedback, and noise, using digital signal processing (DSP), convolution, algorithms, and simple mixing. The class focuses on sonic and compositional aspects rather than technology, math, or acoustics, though these are examined in varying detail. Students complete weekly composition and listening assignments; material for the latter is drawn from sound art, experimental electronica, conventional and non-conventional classical electronic works, popular music, and previous students' compositions.

Subjects

computer music | computer music | sound | sound | music | music | audio | audio | listening | listening | electronic music | electronic music | new music | new music | electronica | electronica | sound art | sound art | noise | noise | noise music | noise music | avant-garde | avant-garde | contemporary music | contemporary music | modern music | modern music | composition | composition | recording | recording | music production | music production | recording studio | recording studio | audio software | audio software | recording software | recording software | sampling | sampling | synthesis | synthesis | audio engineering | audio engineering | mixing | mixing | Radiohead | Radiohead

License

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

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18.366 Random Walks and Diffusion (MIT) 18.366 Random Walks and Diffusion (MIT)

Description

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities. This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.

Subjects

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

License

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

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18.366 Random Walks and Diffusion (MIT) 18.366 Random Walks and Diffusion (MIT)

Description

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities. This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.

Subjects

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

License

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

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21M.380 Music and Technology: Recording Techniques and Audio Production (MIT) 21M.380 Music and Technology: Recording Techniques and Audio Production (MIT)

Description

Includes audio/video content: AV special element audio. This course covers foundations, practices, and creative techniques in audio recording and music production, including microphone selection and placement, mixing, mastering, signal processing, automation, and digital audio workstations. Includes audio/video content: AV special element audio. This course covers foundations, practices, and creative techniques in audio recording and music production, including microphone selection and placement, mixing, mastering, signal processing, automation, and digital audio workstations.

Subjects

audio engineering | audio engineering | sound recording | sound recording | music recording | music recording | digital audio | digital audio | microphone | microphone | amplifier | amplifier | mixing | mixing | recording studio | recording studio | effects | effects | high fidelity | high fidelity

License

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

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12.490 Advanced Igneous Petrology (MIT) 12.490 Advanced Igneous Petrology (MIT)

Description

Advanced Igneous Petrology covers the history of and recent developments in the study of igneous rocks. Students review the chemistry and structure of igneous rock-forming minerals and proceed to study how these minerals occur and interact in igneous rocks. The course focuses on igneous processes and how we have learned about them through studying a number of significant sites worldwide. Advanced Igneous Petrology covers the history of and recent developments in the study of igneous rocks. Students review the chemistry and structure of igneous rock-forming minerals and proceed to study how these minerals occur and interact in igneous rocks. The course focuses on igneous processes and how we have learned about them through studying a number of significant sites worldwide.

Subjects

petrology | petrology | igneous petrology | igneous petrology | rock forming minerals | rock forming minerals | earth's crust | earth's crust | upper mantle rocks | upper mantle rocks | tectonic environment | tectonic environment | geochemistry | geochemistry | rock forming processes | rock forming processes | dynamics of crust and mantle melting | dynamics of crust and mantle melting | Mid-ocean ridge basalts | Mid-ocean ridge basalts | MORB | MORB | Undersaturated mafic magmas | Undersaturated mafic magmas | Magma mixing | Magma mixing | calc-alkaline plutonic rocks | calc-alkaline plutonic rocks | Stillwater layered igneous intrusion | Stillwater layered igneous intrusion | Komatiites | Komatiites | Meteorites | Meteorites

License

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

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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.

Subjects

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

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.htm

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BUS controls

Description

This learning object looks at BUS controls, the internal routing system of a mixing desk, for example as used for recording live music performances.

Subjects

bus | audio | mixing desks | routing | studio equipment | live performances | Performing Arts | Creative Arts and Design | Learning | Students | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL09 = SCQF 9 | Ordinary degree | NICAT 6 | CQFW 6 | NVQ 5 | SVQ 5 | Ordinary degree | Graduate certific | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | UK EL08 = SCQF 8 | Higher Diploma | NICAT 5 | CQFW 5 | HN Diploma | Diploma in HE | design | W000 | PERFORMING ARTS | L

License

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

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18.366 Random Walks and Diffusion (MIT)

Description

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.

Subjects

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

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.htm

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12.490 Advanced Igneous Petrology (MIT)

Description

Advanced Igneous Petrology covers the history of and recent developments in the study of igneous rocks. Students review the chemistry and structure of igneous rock-forming minerals and proceed to study how these minerals occur and interact in igneous rocks. The course focuses on igneous processes and how we have learned about them through studying a number of significant sites worldwide.

Subjects

petrology | igneous petrology | rock forming minerals | earth's crust | upper mantle rocks | tectonic environment | geochemistry | rock forming processes | dynamics of crust and mantle melting | Mid-ocean ridge basalts | MORB | Undersaturated mafic magmas | Magma mixing | calc-alkaline plutonic rocks | Stillwater layered igneous intrusion | Komatiites | Meteorites

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.htm

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Attribution

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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.

Subjects

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

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.htm

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21M.380 Music and Technology: Recording Techniques and Audio Production (MIT)

Description

This course covers foundations, practices, and creative techniques in audio recording and music production, including microphone selection and placement, mixing, mastering, signal processing, automation, and digital audio workstations.

Subjects

audio engineering | sound recording | music recording | digital audio | microphone | amplifier | mixing | recording studio | effects | high fidelity

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.htm

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Bus controls

Description

Interactive flash asset that shows the functions of a mixing desk bus control, including diagram, description of each function and a short quiz

Subjects

bus | controls | sounds | mixing desks | music | audio | PERFORMING ARTS | Creative Arts and Design | Learning | Teaching | UK EL04 = SCQF 4 | Foundational Level | NICAT 1 | CQFW 1 | Foundation | GCSE D-G | NVQ 1 | Intermediate 1 | | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL03 = SCQF 3 | Level 3 | Entry level 2 | NICAT Entry | Access 3 | Foundation SG | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | design | W000 | EDUCATION / TRAINING / TEACHING | G | L

License

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

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21M.361 Composing with Computers I (Electronic Music Composition) (MIT)

Description

This class explores sound and what can be done with it. Sources are recorded from students' surroundings - sampled and electronically generated (both analog and digital). Assignments include composing with the sampled sounds, feedback, and noise, using digital signal processing (DSP), convolution, algorithms, and simple mixing. The class focuses on sonic and compositional aspects rather than technology, math, or acoustics, though these are examined in varying detail. Students complete weekly composition and listening assignments; material for the latter is drawn from sound art, experimental electronica, conventional and non-conventional classical electronic works, popular music, and previous students' compositions.

Subjects

computer music | sound | music | audio | listening | electronic music | new music | electronica | sound art | noise | noise music | avant-garde | contemporary music | modern music | composition | recording | music production | recording studio | audio software | recording software | sampling | synthesis | audio engineering | mixing | Radiohead

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.htm

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18.366 Random Walks and Diffusion (MIT)

Description

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.

Subjects

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

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.htm

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Colour slide

Description

This resource is a Flash asset, a colour mixing slide of the three primary colours red, green and blue, which enables colour changes as the slides are moved across the screen.

Subjects

colours | mixing | sliding | red | green | blue | rgb | PERFORMING ARTS | CRAFTS | Creative Arts and Design | Learning | Design and delivery of programmes | UK EL01 = SCQF 1 | Pre Entry level | Access 1 | UK EL02 = SCQF 2 | Entry level 1 | CQFW Entry | Access 2 | UK EL03 = SCQF 3 | Level 3 | Entry level 2 | NICAT Entry | Access 3 | Foundation SG | UK EL04 = SCQF 4 | Foundational Level | NICAT 1 | CQFW 1 | Foundation | GCSE D-G | NVQ 1 | Intermediate 1 | | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | design | W000 | ARTS and CRAFTS | J | L

License

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

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21M.385 Interactive Music Systems (MIT)

Description

This course explores audio synthesis, musical structure, human computer interaction (HCI), and visual presentation for the creation of interactive musical experiences. Topics include audio synthesis; mixing and looping; MIDI sequencing; generative composition; motion sensors; music games; and graphics for UI, visualization, and aesthetics. Weekly programming assignments in python are included. Student teams build an original, dynamic, and engaging interactive music system for their final project.

Subjects

audio synthesis | musical structure | human computer interaction | HCI | visual presentation | interactive musical experiences | mixing | looping | MIDI sequencing | generative composition; motion sensors | music games | graphics | UI | visualization | aesthetics | python

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.htm

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