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12.864 Inference from Data and Models (MIT) 12.864 Inference from Data and Models (MIT)

Description

The course is directed at making scientifically sensible deductions from the combination of observations with dynamics and kinematics represented, generically, as "models". There are two overlapping central themesLinear "inverse" methods and data "assimilation" including regression, singular value decomposition, objective mapping, non-stationary models and data, Kalman filters, adjoint methods ("assimilation") etc.Standard time series analysis, including basic statistics, Fourier methods, spectra, coherence, filtering, etc. The course is directed at making scientifically sensible deductions from the combination of observations with dynamics and kinematics represented, generically, as "models". There are two overlapping central themesLinear "inverse" methods and data "assimilation" including regression, singular value decomposition, objective mapping, non-stationary models and data, Kalman filters, adjoint methods ("assimilation") etc.Standard time series analysis, including basic statistics, Fourier methods, spectra, coherence, filtering, etc.

Subjects

kinematical and dynamical models | kinematical and dynamical models | Basic statistics | Basic statistics | linear algebra | linear algebra | inverse methods | inverse methods | singular value decompositions | singular value decompositions | control theory | control theory | sequential estimation | sequential estimation | Kalman filters | Kalman filters | smoothing algorithms | smoothing algorithms | adjoint/Pontryagin principle methods | adjoint/Pontryagin principle methods | model testing | model testing | stationary processes | stationary processes | Fourier methods | Fourier methods | z-transforms | z-transforms | sampling theorems | sampling theorems | spectra | spectra | multi-taper methods | multi-taper methods | coherences | coherences | filtering | filtering | quantitative combinations of models | quantitative combinations of models

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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12.864 Inference from Data and Models (MIT) 12.864 Inference from Data and Models (MIT)

Description

The course is directed at making scientifically sensible deductions from the combination of observations with dynamics and kinematics represented, generically, as "models". There are two overlapping central themeslinear "inverse" methods and data "assimilation" including regression, singular value decomposition, objective mapping, non-stationary models and data, Kalman filters, adjoint methods ("assimilation") etc.standard time series analysis, including basic statistics, Fourier methods, spectra, coherence, filtering, etc. The course is directed at making scientifically sensible deductions from the combination of observations with dynamics and kinematics represented, generically, as "models". There are two overlapping central themeslinear "inverse" methods and data "assimilation" including regression, singular value decomposition, objective mapping, non-stationary models and data, Kalman filters, adjoint methods ("assimilation") etc.standard time series analysis, including basic statistics, Fourier methods, spectra, coherence, filtering, etc.

Subjects

observation | observation | kinematical models | kinematical models | dynamical models | dynamical models | basic statistics | basic statistics | linear algebra | linear algebra | inverse methods | inverse methods | singular value decompositions | singular value decompositions | control theory | control theory | sequential estimation | sequential estimation | Kalman filters | Kalman filters | smoothing algorithms | smoothing algorithms | adjoint/Pontryagin principle methods | adjoint/Pontryagin principle methods | model testing | model testing | stationary processes | stationary processes | Fourier methods | Fourier methods | z-transforms | z-transforms | sampling theorems | sampling theorems | spectra | spectra | multi-taper methods | multi-taper methods | coherences | coherences | filtering | filtering | quantitative combinations | quantitative combinations | realistic observations | realistic observations | data assimilations | data assimilations | deduction | deduction | regression | regression | objective mapping | objective mapping | time series analysis | time series analysis | inference | inference

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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12.864 Inference from Data and Models (MIT) 12.864 Inference from Data and Models (MIT)

Description

This course covers the fundamental methods used for exploring the information content of observations related to kinematical and dynamical models. This course covers the fundamental methods used for exploring the information content of observations related to kinematical and dynamical models.

Subjects

kinematical and dynamical models | kinematical and dynamical models | Basic statistics | Basic statistics | linear algebra | linear algebra | inverse methods | inverse methods | singular value decompositions | singular value decompositions | control theory | control theory | sequential estimation | sequential estimation | Kalman filters | Kalman filters | smoothing algorithms | smoothing algorithms | adjoint/Pontryagin principle methods | adjoint/Pontryagin principle methods | model testing | model testing | stationary processes | stationary processes | Fourier methods | Fourier methods | z-transforms | z-transforms | sampling theorems | sampling theorems | spectra | spectra | multi-taper methods | multi-taper methods | coherences | coherences | filtering | filtering | quantitative combinations of models | quantitative combinations of models

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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18.997 Topics in Combinatorial Optimization (MIT) 18.997 Topics in Combinatorial Optimization (MIT)

Description

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms. In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms.

Subjects

combinatorial optimization | combinatorial optimization | Ear decompositions | Ear decompositions | Nonbipartite matching | Nonbipartite matching | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Minimization of submodular functions | Minimization of submodular functions | Matroid intersection | Matroid intersection | Polymatroid intersection | Polymatroid intersection | Jump systems | Jump systems | Matroid union | Matroid union | Matroid matching | path matchings | Matroid matching | path matchings | Packing trees and arborescences | Packing trees and arborescences | Packing directed cuts and the Lucchesi-Younger theorem | Packing directed cuts and the Lucchesi-Younger theorem | Submodular flows and the Edmonds-Giles theorem | Submodular flows and the Edmonds-Giles theorem | Graph orientation | Graph orientation | Connectivity tree and connectivity augmentation | Connectivity tree and connectivity augmentation | Multicommodity flows | Multicommodity flows | Connectivity tree | Connectivity tree | connectivity augmentation | connectivity augmentation | Gallai-Milgram Theorem | Gallai-Milgram Theorem | Bessy-Thomasse Theorem | Bessy-Thomasse Theorem | paritioning graphs | paritioning graphs | covering graphs | covering graphs | directed paths | directed paths | directed cycles | directed cycles | matroid matching | matroid matching | path matching | path matching | packing directed cuts | packing directed cuts | Luchessi-Younger Theorem | Luchessi-Younger Theorem | packing trees | packing trees | arborescences | arborescences | submodular flows | submodular flows | Edmonds-Giles Theorem | Edmonds-Giles Theorem

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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21G.301 French I (MIT) 21G.301 French I (MIT)

Description

21G.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock. 21G.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | French | introduction | introduction | understand | understand | speak | speak | write | write | present | present | future | future | past | past | tense | tense | family | family | food | food | travel | travel | hobbies | hobbies | activities | activities | environment | environment | context | context | compositions | compositions | Francophone | Francophone | customs | customs | history | history | civilization | civilization | 21F.301 | 21F.301 | 21F.351 | 21F.351

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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21G.301 French I (MIT) 21G.301 French I (MIT)

Description

21G.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock. 21G.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | French | introduction | introduction | understand | understand | speak | speak | write | write | present | present | future | future | past | past | tense | tense | family | family | food | food | travel | travel | hobbies | hobbies | activities | activities | environment | environment | context | context | compositions | compositions | Francophone | Francophone | customs | customs | history | history | civilization | civilization | 21F.301 | 21F.301 | 21F.351 | 21F.351

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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21G.302 French II (MIT) 21G.302 French II (MIT)

Description

21G.302/352 is the second part of an introductory course to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock. 21G.302/352 is the second part of an introductory course to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | French | introduction | introduction | understand | understand | speak | speak | write | write | present | present | future | future | past | past | tense | tense | family | family | food | food | travel | travel | hobbies | hobbies | activities | activities | environment | environment | context | context | compositions | compositions | Francophone | Francophone | customs | customs | history | history | civilization | civilization | 21F.302 | 21F.302 | 21F.352 | 21F.352

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.S997 The Polynomial Method (MIT) 18.S997 The Polynomial Method (MIT)

Description

This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade. The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis. This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade. The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis.

Subjects

polynomial method | polynomial method | combinatorics | combinatorics | Kakeya Problem | Kakeya Problem | Incidence Geometry | Incidence Geometry | Algebraic Structure | Algebraic Structure | Cell Decompositions | Cell Decompositions | Ruled Surfaces | Ruled Surfaces | Projection Theory | Projection Theory

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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21F.301 French I (MIT)

Description

21F.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization

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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21F.302 French II (MIT)

Description

21F.302/352 is the second part of an introductory course to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization

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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21F.301 French I (MIT)

Description

21F.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization

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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21F.302 French II (MIT)

Description

21F.302/352 is the second part of an introductory course to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization

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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Prof. Nick Childs - 'History of Brass Bands - The Golden Period'

Description

The repertoire played by bands has altered radically over many years. However, commissioning bodies have always been governed by a desire to attract the leading mainstream composers of the day to write original material for the medium. The so-called 'Golden Period', spanning the period between the Great Depression and the Second World War, encapsulates this ambition at its most successful. A sequence of seminal works, by John Ireland, Gustav Holst, Granville Bantock, Herbert Howells, and Sir Edward Elgar revitalised the repertory and placed amateur musicians in a place of honour within the British musical establishment. In an illustrated lecture, Prof. Nicholas Childs and the Black Dyke Band place this music in its wider context, from the production of the first original band composition

Subjects

ukoer | brass band | black dyke band | compositions | music history | Dance | Drama and Music | Creative Arts and Design | design | W000

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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12.864 Inference from Data and Models (MIT)

Description

The course is directed at making scientifically sensible deductions from the combination of observations with dynamics and kinematics represented, generically, as "models". There are two overlapping central themesLinear "inverse" methods and data "assimilation" including regression, singular value decomposition, objective mapping, non-stationary models and data, Kalman filters, adjoint methods ("assimilation") etc.Standard time series analysis, including basic statistics, Fourier methods, spectra, coherence, filtering, etc.

Subjects

kinematical and dynamical models | Basic statistics | linear algebra | inverse methods | singular value decompositions | control theory | sequential estimation | Kalman filters | smoothing algorithms | adjoint/Pontryagin principle methods | model testing | stationary processes | Fourier methods | z-transforms | sampling theorems | spectra | multi-taper methods | coherences | filtering | quantitative combinations of models

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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12.864 Inference from Data and Models (MIT)

Description

The course is directed at making scientifically sensible deductions from the combination of observations with dynamics and kinematics represented, generically, as "models". There are two overlapping central themeslinear "inverse" methods and data "assimilation" including regression, singular value decomposition, objective mapping, non-stationary models and data, Kalman filters, adjoint methods ("assimilation") etc.standard time series analysis, including basic statistics, Fourier methods, spectra, coherence, filtering, etc.

Subjects

observation | kinematical models | dynamical models | basic statistics | linear algebra | inverse methods | singular value decompositions | control theory | sequential estimation | Kalman filters | smoothing algorithms | adjoint/Pontryagin principle methods | model testing | stationary processes | Fourier methods | z-transforms | sampling theorems | spectra | multi-taper methods | coherences | filtering | quantitative combinations | realistic observations | data assimilations | deduction | regression | objective mapping | time series analysis | inference

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.S997 The Polynomial Method (MIT)

Description

This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade. The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis.

Subjects

polynomial method | combinatorics | Kakeya Problem | Incidence Geometry | Algebraic Structure | Cell Decompositions | Ruled Surfaces | Projection Theory

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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18.997 Topics in Combinatorial Optimization (MIT)

Description

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms.

Subjects

combinatorial optimization | Ear decompositions | Nonbipartite matching | Gallai-Milgram and Bessy-Thomasse theorems on partitioning/covering graphs by directed paths/cycles | Minimization of submodular functions | Matroid intersection | Polymatroid intersection | Jump systems | Matroid union | Matroid matching | path matchings | Packing trees and arborescences | Packing directed cuts and the Lucchesi-Younger theorem | Submodular flows and the Edmonds-Giles theorem | Graph orientation | Connectivity tree and connectivity augmentation | Multicommodity flows | Connectivity tree | connectivity augmentation | Gallai-Milgram Theorem | Bessy-Thomasse Theorem | paritioning graphs | covering graphs | directed paths | directed cycles | matroid matching | path matching | packing directed cuts | Luchessi-Younger Theorem | packing trees | arborescences | submodular flows | Edmonds-Giles Theorem

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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12.864 Inference from Data and Models (MIT)

Description

This course covers the fundamental methods used for exploring the information content of observations related to kinematical and dynamical models.

Subjects

kinematical and dynamical models | Basic statistics | linear algebra | inverse methods | singular value decompositions | control theory | sequential estimation | Kalman filters | smoothing algorithms | adjoint/Pontryagin principle methods | model testing | stationary processes | Fourier methods | z-transforms | sampling theorems | spectra | multi-taper methods | coherences | filtering | quantitative combinations of models

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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21G.301 French I (MIT)

Description

21G.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization | 21F.301 | 21F.351

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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21G.302 French II (MIT)

Description

21G.302/352 is the second part of an introductory course to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization | 21F.302 | 21F.352

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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21G.301 French I (MIT)

Description

21G.301/351 offers an introduction to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French, and students interact in French with their classmates from the very beginning. They also receive exposure to the language via a variety of authentic sources such as the Internet, audio, video and printed materials which help them develop cultural awareness as well as linguistic proficiency. There is a coordinated language lab program.This course is taught in rotation by the following instructors: Laura Ceia-Minjares, Cathy Culot, Gilberte Furstenberg, and Johann Sadock.

Subjects

French | introduction | understand | speak | write | present | future | past | tense | family | food | travel | hobbies | activities | environment | context | compositions | Francophone | customs | history | civilization | 21F.301 | 21F.351

License

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