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Description

This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic. This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.Subjects

discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math | discrete math | discrete mathematics | discrete mathematics | discrete | discrete | math | math | mathematics | mathematics | seminar | seminar | presentations | presentations | student presentations | student presentations | oral | oral | communication | communication | stable marriage | stable marriage | dych | dych | emergency | emergency | response vehicles | response vehicles | ambulance | ambulance | game theory | game theory | congruences | congruences | color theorem | color theorem | four color | four color | cake cutting | cake cutting | algorithm | algorithm | RSA | RSA | encryption | encryption | numberical integration | numberical integration | sorting | sorting | post correspondence problem | post correspondence problem | PCP | PCP | ramsey | ramsey | van der waals | van der waals | fibonacci | fibonacci | recursion | recursion | domino | domino | tiling | tiling | towers | towers | hanoi | hanoi | pigeonhole | pigeonhole | principle | principle | matrix | matrix | hamming | hamming | code | code | hat game | hat game | juggling | juggling | zero-knowledge | zero-knowledge | proof | proof | repeated games | repeated games | lewis carroll | lewis carroll | determinants | determinants | infinitude of primes | infinitude of primes | bridges | bridges | konigsberg | konigsberg | koenigsberg | koenigsberg | time series analysis | time series analysis | GARCH | GARCH | rational | rational | recurrence | recurrence | relations | relations | digital | digital | image | image | compression | compression | quantum computing | quantum computingLicense

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

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This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic. This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.Subjects

discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math | discrete math | discrete mathematics | discrete mathematics | discrete | discrete | math | math | mathematics | mathematics | seminar | seminar | presentations | presentations | student presentations | student presentations | oral | oral | communication | communication | stable marriage | stable marriage | dych | dych | emergency | emergency | response vehicles | response vehicles | ambulance | ambulance | game theory | game theory | congruences | congruences | color theorem | color theorem | four color | four color | cake cutting | cake cutting | algorithm | algorithm | RSA | RSA | encryption | encryption | numberical integration | numberical integration | sorting | sorting | post correspondence problem | post correspondence problem | PCP | PCP | ramsey | ramsey | van der waals | van der waals | fibonacci | fibonacci | recursion | recursion | domino | domino | tiling | tiling | towers | towers | hanoi | hanoi | pigeonhole | pigeonhole | principle | principle | matrix | matrix | hamming | hamming | code | code | hat game | hat game | juggling | juggling | zero-knowledge | zero-knowledge | proof | proof | repeated games | repeated games | lewis carroll | lewis carroll | determinants | determinants | infinitude of primes | infinitude of primes | bridges | bridges | konigsberg | konigsberg | koenigsberg | koenigsberg | time series analysis | time series analysis | GARCH | GARCH | rational | rational | recurrence | recurrence | relations | relations | digital | digital | image | image | compression | compression | quantum computing | quantum computingLicense

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

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See all metadata6.253 Convex Analysis and Optimization (MIT) 6.253 Convex Analysis and Optimization (MIT)

Description

6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theory, using a handful of unifying principles that can be easily visualized and readily understood. The mathematical theory of convex sets and functions is discussed in detail, and is the basis for an intuitive, highly visual, geometrical approach to the subject. 6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theory, using a handful of unifying principles that can be easily visualized and readily understood. The mathematical theory of convex sets and functions is discussed in detail, and is the basis for an intuitive, highly visual, geometrical approach to the subject.Subjects

affine hulls | affine hulls | recession cones | recession cones | global minima | global minima | local minima | local minima | optimal solutions | optimal solutions | hyper planes | hyper planes | minimax theory | minimax theory | polyhedral convexity | polyhedral convexity | polyhedral cones | polyhedral cones | polyhedral sets | polyhedral sets | convex analysis | convex analysis | optimization | optimization | convexity | convexity | Lagrange multipliers | Lagrange multipliers | duality | duality | continuous optimization | continuous optimization | saddle point theory | saddle point theory | linear algebra | linear algebra | real analysis | real analysis | convex sets | convex sets | convex functions | convex functions | extreme points | extreme points | subgradients | subgradients | constrained optimization | constrained optimization | directional derivatives | directional derivatives | subdifferentials | subdifferentials | conical approximations | conical approximations | Fritz John optimality | Fritz John optimality | Exact penalty functions | Exact penalty functions | conjugate duality | conjugate duality | conjugate functions | conjugate functions | Fenchel duality | Fenchel duality | exact penalty functions | exact penalty functions | dual computational methods | dual computational methodsLicense

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

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4420978 | 4420978 | torridtessie | torridtessie | 346fs | 346fs | 346thfightersquadron | 346thfightersquadron | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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Subjects

thomasholmesmason | thomasholmesmason | thomasmayne | thomasmayne | thomashmasonsonslimited | thomashmasonsonslimited | lanternslides | lanternslides | nationallibraryofireland | nationallibraryofireland | queenelizabethcup | queenelizabethcup | silverjug | silverjug | kilkenny | kilkenny | cathedral | cathedral | ireland | ireland | richardpococke | richardpococke | cocoanutflagon | cocoanutflagon | coconutflagon | coconutflagon | flagon | flagon | oldchurchplateofkilkennycity | oldchurchplateofkilkennycity | bishopofossory | bishopofossory | silver | silver | queenelizabeth | queenelizabeth | kilkennycathedral | kilkennycathedral | saintcanicescathedral | saintcanicescathedral | jonaswheeler | jonaswheeler | elizabethi | elizabethi | bishop | bishop | chaplain | chaplainLicense

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4227386 | 4227386 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | prototype | prototype | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicyp47mthunderbolt | republicyp47mthunderbolt | republicyp47m | republicyp47m | yp47mthunderbolt | yp47mthunderbolt | yp47m | yp47m | republicp47mthunderbolt | republicp47mthunderbolt | republicp47m | republicp47m | p47mthunderbolt | p47mthunderbolt | p47m | p47m | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | r280057 | r280057 | r280057c | r280057c | thejug | thejugLicense

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4227386 | 4227386 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | prototype | prototype | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicyp47mthunderbolt | republicyp47mthunderbolt | republicyp47m | republicyp47m | yp47mthunderbolt | yp47mthunderbolt | yp47m | yp47m | republicp47mthunderbolt | republicp47mthunderbolt | republicp47m | republicp47m | p47mthunderbolt | p47mthunderbolt | p47m | p47m | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | r280057 | r280057 | r280057c | r280057c | thejug | thejugLicense

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4222510 | 4222510 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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4225315 | 4225315 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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4226039 | 4226039 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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4275500 | 4275500 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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4226428 | 4226428 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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4226428 | 4226428 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | thejug | thejug | pwr2800 | pwr2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059License

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416209 | 416209 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47cthunderbolt | republicp47cthunderbolt | republicp47c | republicp47c | p47cthunderbolt | p47cthunderbolt | p47c | p47c | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | pwr2800 | pwr2800 | prattwhitneyr280021 | prattwhitneyr280021 | r280021 | r280021 | thejug | thejugLicense

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aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47cthunderbolt | republicp47cthunderbolt | republicp47c | republicp47c | p47cthunderbolt | p47cthunderbolt | p47c | p47c | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | pwr2800 | pwr2800 | prattwhitneyr280021 | prattwhitneyr280021 | r280021 | r280021 | thejug | thejugLicense

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This course is one of many Advanced Undergraduate Seminars offered by the Biology Department at MIT. These seminars are tailored for students with an interest in using primary research literature to discuss and learn about current biological research in a highly interactive setting. This seminar provides a deeper understanding of the post-translational mechanisms evolved by eukaryotic cells to target proteins for degradation. Students learn how proteins are recognized and degraded by specific machinery (the proteasome) through their previous tagging with another small protein, ubiquitin. Additional topics include principles of ubiquitin-proteasome function, its control of the most important cellular pathways, and the implication of this system in different human diseases. Finally, spe This course is one of many Advanced Undergraduate Seminars offered by the Biology Department at MIT. These seminars are tailored for students with an interest in using primary research literature to discuss and learn about current biological research in a highly interactive setting. This seminar provides a deeper understanding of the post-translational mechanisms evolved by eukaryotic cells to target proteins for degradation. Students learn how proteins are recognized and degraded by specific machinery (the proteasome) through their previous tagging with another small protein, ubiquitin. Additional topics include principles of ubiquitin-proteasome function, its control of the most important cellular pathways, and the implication of this system in different human diseases. Finally, speSubjects

ubiquitination | ubiquitination | ubiquitin | ubiquitin | proteasome | proteasome | post-translational mechanisms | post-translational mechanisms | ubiquitin-conjugation system | ubiquitin-conjugation system | neurodegenerative diseases | neurodegenerative diseases | immune response | immune response | cell cycle regulation | cell cycle regulation | apoptosis | apoptosis | signal transduction pathways | signal transduction pathways | tumorigenesis | tumorigenesis | protein degradation | protein degradation | Endoplasmic Reticulum Associated Degradation Pathway | Endoplasmic Reticulum Associated Degradation Pathway | ligases | ligases | translocated proteins | translocated proteins | misfolded proteins | misfolded proteins | trafficking membranes | trafficking membranes | cell cycle control | cell cycle control | programmed cell death | programmed cell death | Huntington's Disease | Huntington's Disease | Von Hippel-Lindau Disease | Von Hippel-Lindau DiseaseLicense

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

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4433445 | 4433445 | airnationalguard | airnationalguard | newjerseyairnationalguard | newjerseyairnationalguard | njairnationalguard | njairnationalguard | njang | njang | ang | ang | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059 | thejug | thejugLicense

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4228587 | 4228587 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059 | thejug | thejugLicense

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4419663 | 4419663 | brazilianairforce | brazilianairforce | fab | fab | forçaaéreabrasileira | forçaaéreabrasileira | forcaaereabrasileira | forcaaereabrasileira | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47dthunderbolt | republicp47dthunderbolt | republicp47d | republicp47d | p47dthunderbolt | p47dthunderbolt | p47d | p47d | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059 | thejug | thejugLicense

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415938 | 415938 | flighttest | flighttest | experimentalflight | experimentalflight | laminarflow | laminarflow | laminarflowwing | laminarflowwing | naca | naca | nationaladvisorycommitteeforaeronautics | nationaladvisorycommitteeforaeronautics | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47bthunderbolt | republicp47bthunderbolt | republicp47b | republicp47b | p47bthunderbolt | p47bthunderbolt | p47b | p47b | republicxp47fthunderbolt | republicxp47fthunderbolt | republicxp47f | republicxp47f | xp47fthunderbolt | xp47fthunderbolt | xp47f | xp47f | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | pwr2800 | pwr2800 | prattwhitneyr280021 | prattwhitneyr280021 | r280021 | r280021 | thejug | thejugLicense

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4225123 | 4225123 | aviation | aviation | aircraft | aircraft | airplane | airplane | militaryaviation | militaryaviation | republicaviation | republicaviation | republicp47thunderbolt | republicp47thunderbolt | republicp47 | republicp47 | republicthunderbolt | republicthunderbolt | p47thunderbolt | p47thunderbolt | p47 | p47 | republicp47gthunderbolt | republicp47gthunderbolt | republicp47g | republicp47g | p47gthunderbolt | p47gthunderbolt | p47g | p47g | prattwhitney | prattwhitney | prattwhitneyr2800 | prattwhitneyr2800 | r2800 | r2800 | prattwhitneyr280059 | prattwhitneyr280059 | r280059 | r280059 | thejug | thejugLicense

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See all metadata18.304 Undergraduate Seminar in Discrete Mathematics (MIT)

Description

This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.Subjects

discrete math; discrete mathematics; discrete; math; mathematics; seminar; presentations; student presentations; oral; communication; stable marriage; dych; emergency; response vehicles; ambulance; game theory; congruences; color theorem; four color; cake cutting; algorithm; RSA; encryption; numberical integration; sorting; post correspondence problem; PCP; ramsey; van der waals; fibonacci; recursion; domino; tiling; towers; hanoi; pigeonhole; principle; matrix; hamming; code; hat game; juggling; zero-knowledge; proof; repeated games; lewis carroll; determinants; infinitude of primes; bridges; konigsberg; koenigsberg; time series analysis; GARCH; rational; recurrence; relations; digital; image; compression; quantum computing | discrete math | discrete mathematics | discrete | math | mathematics | seminar | presentations | student presentations | oral | communication | stable marriage | dych | emergency | response vehicles | ambulance | game theory | congruences | color theorem | four color | cake cutting | algorithm | RSA | encryption | numberical integration | sorting | post correspondence problem | PCP | ramsey | van der waals | fibonacci | recursion | domino | tiling | towers | hanoi | pigeonhole | principle | matrix | hamming | code | hat game | juggling | zero-knowledge | proof | repeated games | lewis carroll | determinants | infinitude of primes | bridges | konigsberg | koenigsberg | time series analysis | GARCH | rational | recurrence | relations | digital | image | compression | quantum computingLicense

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

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See all metadata5.512 Synthetic Organic Chemistry II (MIT) 5.512 Synthetic Organic Chemistry II (MIT)

Description

This course focuses on general methods and strategies for the synthesis of complex organic molecules. Emphasis is on strategies for stereoselective synthesis, including stereocontrolled synthesis of complex acyclic compounds. This course focuses on general methods and strategies for the synthesis of complex organic molecules. Emphasis is on strategies for stereoselective synthesis, including stereocontrolled synthesis of complex acyclic compounds.Subjects

synthetic organic chemistry | synthetic organic chemistry | synthesis | synthesis | complex organic molecules | complex organic molecules | stereoselective synthesis | stereoselective synthesis | acyclic compounds | acyclic compounds | stereocontrolled synthesis | stereocontrolled synthesis | stereocontrolled alkylation | stereocontrolled alkylation | stereocontrolled conjugate addition | stereocontrolled conjugate addition | carbonyls | carbonyls | aldol reactions | aldol reactions | carbonyl reduction | carbonyl reduction | alkene reduction | alkene reduction | hydroboration | hydroboration | dihydroxylation | dihydroxylation | epoxidation | epoxidationLicense

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

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See all metadata5.13 Organic Chemistry II (MIT) 5.13 Organic Chemistry II (MIT)

Description

This intermediate organic chemistry course focuses on the methods used to identify the structure of organic molecules, advanced principles of organic stereochemistry, organic reaction mechanisms, and methods used for the synthesis of organic compounds. Additional special topics include illustrating the role of organic chemistry in biology, medicine, and industry. This intermediate organic chemistry course focuses on the methods used to identify the structure of organic molecules, advanced principles of organic stereochemistry, organic reaction mechanisms, and methods used for the synthesis of organic compounds. Additional special topics include illustrating the role of organic chemistry in biology, medicine, and industry.Subjects

intermediate organic chemistry | intermediate organic chemistry | organic molecules | organic molecules | stereochemistry | stereochemistry | reaction mechanisms | reaction mechanisms | synthesis of organic compounds | synthesis of organic compounds | synthesis | synthesis | structure determination | structure determination | mechanism | mechanism | reactivity | reactivity | functional groups | functional groups | NMR | NMR | spectroscopy | spectroscopy | spectrometry | spectrometry | structure elucidation | structure elucidation | infrared spectroscopy | infrared spectroscopy | nuclear magnetic resonance spectroscopy | nuclear magnetic resonance spectroscopy | reactive intermediates | reactive intermediates | carbocations | carbocations | radicals | radicals | aromaticity | aromaticity | conjugated systems | conjugated systems | molecular orbital theory | molecular orbital theory | pericyclic reactions | pericyclic reactionsLicense

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

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See all metadata6.253 Convex Analysis and Optimization (MIT) 6.253 Convex Analysis and Optimization (MIT)

Description

This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is to develop the core analytical and algorithmic issues of continuous optimization, duality, and saddle point theory using a handful of unifying principles that can be easily visualized and readily understood. This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is to develop the core analytical and algorithmic issues of continuous optimization, duality, and saddle point theory using a handful of unifying principles that can be easily visualized and readily understood.Subjects

convex analysis | convex analysis | convex optimization | convex optimization | hyperplanes | hyperplanes | conjugacy | conjugacy | polyhedral convexity | polyhedral convexity | geometric duality | geometric duality | duality theory | duality theory | subgradients | subgradients | optimality conditions | optimality conditions | convex optimization algorithms | convex optimization algorithmsLicense

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

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