Description

This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem. This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem.

Subjects

linear spaces | linear spaces | metric spaces | metric spaces | normed spaces | normed spaces | Banach spaces | Banach spaces | Lebesgue integrability | Lebesgue integrability | Lebesgue integrable functions | Lebesgue integrable functions

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Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area. Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area. As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: – norm topology and topological isomorphism; – boundedness of operators; – compactness and finite dimensionality; – extension of functionals; – weak*-compactness; – sequence spaces and duality; – basic properties of Banach algebras. Suitable for: Undergraduate students L As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: – norm topology and topological isomorphism; – boundedness of operators; – compactness and finite dimensionality; – extension of functionals; – weak*-compactness; – sequence spaces and duality; – basic properties of Banach algebras. Suitable for: Undergraduate students L

Subjects

UNow | UNow | ukoer | ukoer | Functional analysis | Normed spaces | Functional analysis | Normed spaces | Banach spaces | Banach spaces | Bounded linear operators | Bounded linear operators | dual spaces | dual spaces | commutative Banach algebras | commutative Banach algebras | complete metric spaces | complete metric spaces | open mapping theorem | open mapping theorem | closed graph theorem | closed graph theorem | uniform boundedness | uniform boundedness

License

Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)

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This is a module framework. It can be viewed online or downloaded as a zip file. As taught Autumn semester 2010. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: – norm topology and topological isomorphism; – boundedness of operators; – compactness and finite dimensionality; – extension of functionals; – weak*-compactness; – sequence spaces and duality; – bas This is a module framework. It can be viewed online or downloaded as a zip file. As taught Autumn semester 2010. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: – norm topology and topological isomorphism; – boundedness of operators; – compactness and finite dimensionality; – extension of functionals; – weak*-compactness; – sequence spaces and duality; – bas

Subjects

UNow | UNow | ukoer | ukoer | module code G14FUN | module code G14FUN | functional analysis | functional analysis | normed spaces | normed spaces | Banach spaces | Banach spaces | Bounded linear operators | Bounded linear operators | dual spaces | dual spaces | commutative Banach algebras | commutative Banach algebras | complete metric spaces | complete metric spaces | open mapping theorem | open mapping theorem

License

Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)

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The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli spaces of stable maps using intersection theory. The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli spaces of stable maps using intersection theory.

Subjects

intersection theory | intersection theory | moduli spaces | moduli spaces | geometry of homogeneous varieties | geometry of homogeneous varieties | Deligne-Mumford moduli spaces | Deligne-Mumford moduli spaces | stable curves | stable curves | Kontsevich moduli spaces | Kontsevich moduli spaces | stable maps | stable maps | Littlewood-Richardson rules | Littlewood-Richardson rules | Grassmannians | Grassmannians | divisor theory | divisor theory | cohomology | cohomology | Brill-Noether theory | Brill-Noether theory | limit linear series | limit linear series | ample cones | ample cones | effective cones | effective cones | Gromov-Witten invariants | Gromov-Witten invariants | simple homogeneous varieties | simple homogeneous varieties

License

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gordonfullerton | gordonfullerton | fullerton | fullerton | fredhaise | fredhaise | haise | haise | joeengle | joeengle | engle | engle | richardtruly | richardtruly | dicktruly | dicktruly | truly | truly | testpilots | testpilots | astronauts | astronauts | testpilot | testpilot | astronaut | astronaut | aviator | aviator | aviators | aviators | orbitervehicle101 | orbitervehicle101 | ov101 | ov101 | enterprise | enterprise | spaceshuttleenterprise | spaceshuttleenterprise | prototype | prototype | aviation | aviation | aerospace | aerospace | aircraft | aircraft | airplane | airplane | glider | glider | nationalaeronauticsandspaceadministration | nationalaeronauticsandspaceadministration | nasa | nasa | spacetransportationsystem | spacetransportationsystem | spaceshuttleprogram | spaceshuttleprogram | spaceshuttle | spaceshuttle | shuttle | shuttle | northamericanaviation | northamericanaviation | naa | naa | northamericanrockwell | northamericanrockwell | rockwellinternational | rockwellinternational | fairchildrepublic | fairchildrepublic | grumman | grumman

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orbitervehicle101 | orbitervehicle101 | ov101 | ov101 | enterprise | enterprise | spaceshuttleenterprise | spaceshuttleenterprise | prototype | prototype | aviation | aviation | aerospace | aerospace | aircraft | aircraft | airplane | airplane | glider | glider | nationalaeronauticsandspaceadministration | nationalaeronauticsandspaceadministration | nasa | nasa | spacetransportationsystem | spacetransportationsystem | spaceshuttleprogram | spaceshuttleprogram | spaceshuttle | spaceshuttle | shuttle | shuttle | northamericanaviation | northamericanaviation | naa | naa | northamericanrockwell | northamericanrockwell | rockwellinternational | rockwellinternational | fairchildrepublic | fairchildrepublic | grumman | grumman

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orbitervehicle101 | orbitervehicle101 | ov101 | ov101 | enterprise | enterprise | spaceshuttleenterprise | spaceshuttleenterprise | prototype | prototype | aviation | aviation | aerospace | aerospace | aircraft | aircraft | airplane | airplane | glider | glider | nationalaeronauticsandspaceadministration | nationalaeronauticsandspaceadministration | nasa | nasa | spacetransportationsystem | spacetransportationsystem | spaceshuttleprogram | spaceshuttleprogram | spaceshuttle | spaceshuttle | shuttle | shuttle | northamericanaviation | northamericanaviation | naa | naa | northamericanrockwell | northamericanrockwell | rockwellinternational | rockwellinternational | fairchildrepublic | fairchildrepublic | grumman | grumman

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This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Subjects

Generalized spaces | Generalized spaces | Linear algebra | Linear algebra | Algebra | Universal | Algebra | Universal | Mathematical analysis | Mathematical analysis | Calculus of operations | Calculus of operations | Line geometry | Line geometry | Topology | Topology | matrix theory | matrix theory | systems of equations | systems of equations | vector spaces | vector spaces | systems determinants | systems determinants | eigen values | eigen values | positive definite matrices | positive definite matrices | Markov processes | Markov processes | Fourier transforms | Fourier transforms | differential equations | differential equations | linear algebra | linear algebra | determinants | determinants | eigenvalues | eigenvalues | similarity | similarity | least-squares approximations | least-squares approximations | stability of differential equations | stability of differential equations | networks | networks

License

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Basic subject on matrix theory and linear algebra, emphasizing topics useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Applications to least-squares approximations, stability of differential equations, networks, Fourier transforms, and Markov processes. Uses MATLAB®. Compared with 18.700 [also Linear Algebra], more emphasis on matrix algorithms and many applications. MATLAB® is a trademark of The MathWorks, Inc. Basic subject on matrix theory and linear algebra, emphasizing topics useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Applications to least-squares approximations, stability of differential equations, networks, Fourier transforms, and Markov processes. Uses MATLAB®. Compared with 18.700 [also Linear Algebra], more emphasis on matrix algorithms and many applications. MATLAB® is a trademark of The MathWorks, Inc.

Subjects

Generalized spaces | Generalized spaces | Linear algebra | Linear algebra | Algebra | Universal | Algebra | Universal | Mathematical analysis | Mathematical analysis | Calculus of operations | Calculus of operations | Line geometry | Line geometry | Topology | Topology | matrix theory | matrix theory | systems of equations | systems of equations | vector spaces | vector spaces | systems determinants | systems determinants | eigen values | eigen values | positive definite matrices | positive definite matrices | Markov processes | Markov processes | Fourier transforms | Fourier transforms | differential equations | differential 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.htm

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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.

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This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group. This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.

Subjects

topology | topology | topological spaces | topological spaces | continuous functions | continuous functions | connectedness | connectedness | compactness | compactness | separation axioms | separation axioms | function spaces | function spaces | metrization theorems | metrization theorems | embedding theorems | embedding theorems | the fundamental group | the fundamental group

License

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This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The course starts with the standard linear algebra syllabus and eventually develops the techniques to approach a more advanced topic: abstract root systems in a Euclidean space. This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing. The course starts with the standard linear algebra syllabus and eventually develops the techniques to approach a more advanced topic: abstract root systems in a Euclidean space.

Subjects

Linear Alegebra | Linear Alegebra | Latex | Latex | LaTeX2e | LaTeX2e | mathematical writing | mathematical writing | linear spaces | linear spaces | basis | basis | dimension | dimension | linear mappings | linear mappings | matrices | matrices | subspaces | subspaces | direct sums | direct sums | reflections | reflections | Euclidean space | Euclidean space | abstract root systems | abstract root systems | simple roots | simple roots | positive roots | positive roots | Cartan matrix | Cartan matrix | Dynkin diagrams | Dynkin diagrams | classification | classification | 18.06 | 18.06

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

Subjects

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

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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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As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: – norm topology and topological isomorphism; – boundedness of operators; – compactness and finite dimensionality; – extension of functionals; – weak*-compactness; – sequence spaces and duality; – basic properties of Banach algebras. Suitable for: Undergraduate students Level Four Dr J

Subjects

ukoer | functional analysis | normed spaces | banach spaces | bounded linear operators | dual spaces | commutative banach algebras | complete metric spaces | open mapping theorem | closed graph theorem | uniform boundedness | Computer science | I100

License

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

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atlantis | atlantis | spaceshuttle | spaceshuttle | flightdeck | flightdeck | jerryross | jerryross | williammcarthur | williammcarthur | chrishadfield | chrishadfield | sts74 | sts74 | kennethcameron | kennethcameron | jameshalsell | jameshalsell | russianmirspacestation | russianmirspacestation

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2008 | 2008 | spaceshuttle | spaceshuttle | iss | iss | missionpatch | missionpatch | march11 | march11 | march26 | march26 | internationalspacestation | internationalspacestation | takaodoi | takaodoi | sts123 | sts123 | gregoryhjohnson | gregoryhjohnson | garrettereisman | garrettereisman | dominiclgorie | dominiclgorie | richardmlinnehan | richardmlinnehan | robertlbehnken | robertlbehnken | michaeljforeman | michaeljforeman | léopoldeyhart | léopoldeyhart

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scott | scott | aviation | aviation | astronaut | astronaut | astronauts | astronauts | armstrong | armstrong | aviator | aviator | spacesuit | spacesuit | aviators | aviators | aerospace | aerospace | davescott | davescott | spacesuits | spacesuits | neilarmstrong | neilarmstrong | mannedspaceflight | mannedspaceflight | pressuresuit | pressuresuit | projectgemini | projectgemini | gemini8 | gemini8 | geminiviii | geminiviii

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cloud | airplane | aircraft | aviation | husband | astronaut | nasa | astronauts | barry | shuttle | kennedyspacecenter | capecanaveral | ksc | discovery | spaceshuttle | cosmonaut | spacecraft | iss | aerospace | grumman | spaceflight | rominger | rocketlaunch | thiokol | rocketdyne | spaceshuttlediscovery | ochoa | naa | nationalaeronauticsandspaceadministration | internationalspacestation | payette | rockwellinternational | northamericanaviation | mannedspaceflight | spaceplane | ov103 | fairchildrepublic | launchcomplex39 | lc39b | lc39 | juliepayette | jernigan | tokarev | rickhusband | northamericanrockwell | valerytokarev | ellenochoa | launchcomplex39b | spacetransportationsystem | danielbarry | mortonthiokol | kentrominger | sts96 | spaceshuttleprogram | tamarajernigan | orbitervehicle103

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spaceshuttle | spaceshuttle | iss | iss | 2007 | 2007 | missionpatch | missionpatch | june8 | june8 | june22 | june22 | internationalspacestation | internationalspacestation | jimreilly | jimreilly | sts117 | sts117 | ricksturckow | ricksturckow | clayanderson | clayanderson | leearchambault | leearchambault | patrickforrester | patrickforrester | stevenswanson | stevenswanson | john“danny”olivas | john“danny”olivas

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2001 | 2001 | spaceshuttle | spaceshuttle | sts104 | sts104 | iss | iss | missionpatch | missionpatch | july12 | july12 | july24 | july24 | internationalspacestation | internationalspacestation | jamesreilly | jamesreilly | stevenlindsey | stevenlindsey | charleshobaugh | charleshobaugh | janetkavandi | janetkavandi | michaelgernhardt | michaelgernhardt

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2006 | 2006 | spaceshuttle | spaceshuttle | iss | iss | missionpatch | missionpatch | internationalspacestation | internationalspacestation | september21 | september21 | joetanner | joetanner | sts115 | sts115 | september9 | september9 | heidemariemstefanyshynpiper | heidemariemstefanyshynpiper | brentwjett | brentwjett | christopherjferguson | christopherjferguson | danielcburbank | danielcburbank | stevengmaclean | stevengmaclean

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spaceshuttle | spaceshuttle | iss | iss | missionpatch | missionpatch | internationalspacestation | internationalspacestation | sts120 | sts120 | claytoncanderson | claytoncanderson | paoloanespoli | paoloanespoli | douglashwheelock | douglashwheelock | georgedzamka | georgedzamka | scotteparazynski | scotteparazynski | stephaniedwilson | stephaniedwilson | danielmtani | danielmtani | pamelaamelroy | pamelaamelroy

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2001 | 2001 | spaceshuttle | spaceshuttle | iss | iss | missionpatch | missionpatch | sts108 | sts108 | internationalspacestation | internationalspacestation | markkelly | markkelly | december17 | december17 | mikhailtyurin | mikhailtyurin | december5 | december5 | dominicgorie | dominicgorie | lindagodwin | lindagodwin | danieltani | danieltani | vladimirdezhurov | vladimirdezhurov | yurionufrienko | yurionufrienko

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spaceshuttle | spaceshuttle | iss | iss | 2010 | 2010 | missionpatch | missionpatch | february21 | february21 | february8 | february8 | internationalspacestation | internationalspacestation | georgedzamka | georgedzamka | sts130 | sts130 | terrywvirtsjr | terrywvirtsjr | nicholasjmpatrick | nicholasjmpatrick | stephenkrobinson | stephenkrobinson | kathrynphire | kathrynphire | robertlbehnken | robertlbehnken

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spaceshuttle | spaceshuttle | iss | iss | 2007 | 2007 | missionpatch | missionpatch | internationalspacestation | internationalspacestation | november7 | november7 | october23 | october23 | sts120 | sts120 | claytoncanderson | claytoncanderson | paoloanespoli | paoloanespoli | douglashwheelock | douglashwheelock | georgedzamka | georgedzamka | scotteparazynski | scotteparazynski | stephaniedwilson | stephaniedwilson | danielmtani | danielmtani | pamelaamelroy | pamelaamelroy

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