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6.253 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 methods

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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Queen Victoria on 'Fyvie' with John Brown at Balmoral Queen Victoria on 'Fyvie' with John Brown at Balmoral

Description

Subjects

greatbritain | greatbritain | horses | horses | blackandwhite | blackandwhite | horse | horse | fashion | fashion | animal | animal | scotland | scotland | kilt | kilt | aberdeenshire | aberdeenshire | victorian | victorian | victoria | victoria | queen | queen | queens | queens | pony | pony | historical | historical | hanover | hanover | queenvictoria | queenvictoria | royalty | royalty | balmoral | balmoral | equus | equus | sporran | sporran | servants | servants | fyvie | fyvie | johnbrown | johnbrown | deeside | deeside | sidesaddle | sidesaddle | nationalgalleriesofscotland | nationalgalleriesofscotland | cartesdevisite | cartesdevisite | mrsbrown | mrsbrown | mourningdress | mourningdress | ridinghabit | ridinghabit | georgewashingtonwilson | georgewashingtonwilson | commons:event=commonground2009 | commons:event=commonground2009

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14.451 Dynamic Optimization Methods with Applications (MIT) 14.451 Dynamic Optimization Methods with Applications (MIT)

Description

This course focuses on dynamic optimization methods, both in discrete and in continuous time. We approach these problems from a dynamic programming and optimal control perspective. We also study the dynamic systems that come from the solutions to these problems. The course will illustrate how these techniques are useful in various applications, drawing on many economic examples. However, the focus will remain on gaining a general command of the tools so that they can be applied later in other classes. This course focuses on dynamic optimization methods, both in discrete and in continuous time. We approach these problems from a dynamic programming and optimal control perspective. We also study the dynamic systems that come from the solutions to these problems. The course will illustrate how these techniques are useful in various applications, drawing on many economic examples. However, the focus will remain on gaining a general command of the tools so that they can be applied later in other classes.

Subjects

vector spaces | vector spaces | principle of optimality | principle of optimality | concavity of the value function | concavity of the value function | differentiability of the value function | differentiability of the value function | Euler equations | Euler equations | deterministic dynamics | deterministic dynamics | models with constant returns to scale | models with constant returns to scale | nonstationary models | nonstationary models | stochastic dynamic programming | stochastic dynamic programming | stochastic Euler equations | stochastic Euler equations | stochastic dynamics | stochastic dynamics | calculus of variations | calculus of variations | the maximum principle | the maximum principle | discounted infinite-horizon optimal control | discounted infinite-horizon optimal control | saddle-path stability | saddle-path stability

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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18.336 Numerical Methods for Partial Differential Equations (MIT) 18.336 Numerical Methods for Partial Differential Equations (MIT)

Description

This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods. This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

Subjects

advection equation | advection equation | heat equation | heat equation | wave equation | wave equation | Airy equation | Airy equation | convection-diffusion problems | convection-diffusion problems | KdV equation | KdV equation | hyperbolic conservation laws | hyperbolic conservation laws | Poisson equation | Poisson equation | Stokes problem | Stokes problem | Navier-Stokes equations | Navier-Stokes equations | interface problems | interface problems | consistency | consistency | stability | stability | convergence | convergence | Lax equivalence theorem | Lax equivalence theorem | error analysis | error analysis | Fourier approaches | Fourier approaches | staggered grids | staggered grids | shocks | shocks | front propagation | front propagation | preconditioning | preconditioning | multigrid | multigrid | Krylov spaces | Krylov spaces | saddle point problems | saddle point problems | finite differences | finite differences | finite volumes | finite volumes | finite elements | finite elements | ENO/WENO | ENO/WENO | spectral methods | spectral methods | projection approaches for incompressible ows | projection approaches for incompressible ows | level set methods | level set methods | particle methods | particle methods | direct and iterative methods | direct and iterative methods

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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2.087 Engineering Math: Differential Equations and Linear Algebra (MIT) 2.087 Engineering Math: Differential Equations and Linear Algebra (MIT)

Description

Includes audio/video content: AV selected lectures. This course is about the mathematics that is most widely used in the mechanical engineering core subjects: An introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations. Includes audio/video content: AV selected lectures. This course is about the mathematics that is most widely used in the mechanical engineering core subjects: An introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations.

Subjects

differential equations | differential equations | linear algebra | linear algebra | linear differential equations | linear differential equations | ordinary | ordinary | partial | partial | vector space | vector space | first order | first order | second order | second order | Heaviside | Heaviside | delta | delta | Dirac | Dirac | exponential | exponential | sinusoid | sinusoid | real | real | complex | complex | forced oscillations | forced oscillations | Laplace transform | Laplace transform | graph | graph | nonlinear | nonlinear | source | source | sink | sink | saddle | saddle | spiral | spiral | Euler | Euler | linearization | linearization | Guassian | Guassian | matrix | matrix | mechanical engineer | mechanical engineer | eigenvector | eigenvector | eigenvalue | eigenvalue | exponentiation | exponentiation | least squares | least squares

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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[Main Street between Austin and Market Streets]

Description

Subjects

horses | people | buildings | downtown | carts | trolleys | coaches | wagons | carriages | trolleycars | benfwolfeco | benfwolfeandcompany | konantzsaddleryco | konantzsaddlerycompany | cagardinerstateagent | swopemangold | swopeandmangold

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[Main Street between Austin and Market Streets]

Description

Subjects

horses | people | buildings | downtown | carts | trolleys | coaches | wagons | carriages | trolleycars | benfwolfeco | benfwolfeandcompany | konantzsaddleryco | konantzsaddlerycompany | cagardinerstateagent | swopemangold | swopeandmangold

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Harriett Brims on location in the Queensland bush ca. 1880-1890 Harriett Brims on location in the Queensland bush ca. 1880-1890

Description

Subjects

camera | camera | photography | photography | bush | bush | photographer | photographer | tent | tent | queensland | queensland | saddle | saddle | statelibraryofqueensland | statelibraryofqueensland | slq | slq | happybirthdayflickrcommons | happybirthdayflickrcommons | harriettbrims | harriettbrims

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) )

Description

Subjects

ahpoole | ahpoole | arthurhenripoole | arthurhenripoole | poolecollection | poolecollection | glassnegative | glassnegative | nationallibraryofireland | nationallibraryofireland | mrmccoy | mrmccoy | familygroup | familygroup | hat | hat | baby | baby | basket | basket | saddle | saddle | horses | horses | limerickbybeachcomber | limerickbybeachcomber | therealmccoy | therealmccoy | mccoy | mccoy | locationidentified | locationidentified | archibaldmccoy | archibaldmccoy | archibaldsmccoy | archibaldsmccoy | maryhelenmccoy | maryhelenmccoy | johnsheiljohnshill | johnsheiljohnshill | johnshill | johnshill | waterford | waterford | saintgrellans | saintgrellans | horse | horse

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Mr. Frank Green, Treasurers House, York, on horse. Mr. Frank Green, Treasurers House, York, on horse.

Description

Subjects

ahpoole | ahpoole | arthurhenripoole | arthurhenripoole | poolecollection | poolecollection | glassnegative | glassnegative | nationallibraryofireland | nationallibraryofireland | mrfrankgreen | mrfrankgreen | treasurershouse | treasurershouse | york | york | england | england | man | man | horse | horse | saddle | saddle | fence | fence | industrialist | industrialist | tophat | tophat | franciswilliamgreen | franciswilliamgreen | ridingcrop | ridingcrop

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Lynchs Castle, Shop Street, Galway Lynchs Castle, Shop Street, Galway

Description

Subjects

robertfrench | robertfrench | williamlawrence | williamlawrence | lawrencecollection | lawrencecollection | lawrencephotographicstudio | lawrencephotographicstudio | thelawrencephotographcollection | thelawrencephotographcollection | glassnegative | glassnegative | nationallibraryofireland | nationallibraryofireland | shopstreet | shopstreet | galway | galway | lynchscastle | lynchscastle | lynchmob | lynchmob | music | music | people | people | pedestrians | pedestrians | whiterose | whiterose | lampoil | lampoil | prattsspirit | prattsspirit | cornerboys | cornerboys | shawlies | shawlies | tftalbot | tftalbot | saddler | saddler | tram | tram | bank | bank | tramtracks | tramtracks | streetlights | streetlights | shawls | shawls

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There's a hairy ass fair in the County Clare There's a hairy ass fair in the County Clare

Description

Subjects

robertfrench | robertfrench | williamlawrence | williamlawrence | lawrencecollection | lawrencecollection | lawrencephotographicstudio | lawrencephotographicstudio | thelawrencephotographcollection | thelawrencephotographcollection | glassnegative | glassnegative | nationallibraryofireland | nationallibraryofireland | kilkee | kilkee | coclare | coclare | ireland | ireland | atlantic | atlantic | wildatlanticway | wildatlanticway | donkeys | donkeys | asses | asses | horses | horses | saddle | saddle | carriages | carriages | carts | carts | boys | boys | men | men | ocurrystreet | ocurrystreet | albertroad | albertroad | stellamarishotel | stellamarishotel | clare | clare | donkey | donkey | cheapexcursions | cheapexcursions | excursions | excursions | tourists | tourists

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Wynona Beville perches on a fence - Lakeland

Description

Subjects

florida | lakeland | wynonabeville | cowgirls | portraits | fences | rope | wynonabevillemartin | martin | harveynredmartin | harveyredmartin | harveymartin | rodeos | redheads | saddlery | saddles | calfropes | littlehcattlecompany | lakelandflorida | alicevillealabama | tuscaloosaalabama | alabama | beville | centerhillflorida | wynonamartin

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Movember's Finest!

Description

Subjects

november | ireland | dog | men | ties | suits | caps | 19thcentury | victorian | beards | ambulance | movember | terrier | moustaches | uniforms | friday | 3rd | waterford | munster | sergeant | boerwar | glassnegative | chinstrap | 1890s | collars | chevrons | 1899 | bowlerhats | royalfieldartillery | waistcoats | pillboxhat | 3rddivision | nationallibraryofireland | ahpoole | artillerybarracks | foragecaps | poolecollection | arthurhenripoole | workinglivesexhibition | saddlemakerbadge | artificerbadge

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Birthday party - Jacksonville

Description

Subjects

birthday | cakes | children | florida | families | birthdayparty | jacksonville | saddleoxfordshoes

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[Opposition, England] (LOC)

Description

Subjects

donkey | libraryofcongress | sidesaddle | xmlns:dc=httppurlorgdcelements11 | dc:identifier=httphdllocgovlocpnpppmsc09103

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Jimmy Wakely and his Saddle Pals - Lakeland

Description

Subjects

musicians | florida | guitars | bands | lakeland | fiddles | countrymusicians | bassfiddles | jimmywakelyandhissaddlepals

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TWCMS.2001.3474

Description

Postcard, showing a Northumberland Hussars corporal on horseback. Horse with white rein around neck, sword hanging from saddle. Fence with trees and bushes in the background. Note on back of card states 'Sam Robinson' Regional Faces of the First World War. The photograph is from an album relating to the men, women and children from Tyne and Wear who lived, worked or fought during the First World War. Accompanying this photo is the biographical and supporting information that we have about them, but the full story is not always known. Our collections records are not very detailed in some cases. We need your help to fill in the blanks. Do you have any information to add to what is already here? A name? A location? What more can you find out and tell us about their life? If you have some extra information about this photograph, please add your comments, information and any links, images or text. Part of the ?Wor Life? project. To find out more please visit www.worlife.org.uk

Subjects

firstworldwar | ww1 | worlife | postcard | blackandwhitephotograph | crease | fold | horse | uniform | warlife | northumberlandhussarscorporal | soldier | whiterein | sword | animal | saddle | fence | trees | bushes | samrobinson | regionalfaces | socialheritage | abstract | landscape | portrait | leaves | branches | blur | sky | grain | debris | ground | hoof | emblem | hat | waterfountain | still | attentive | cleanshaven | serious | masculine | graceful | hair | intriguing | cloth | material | leather | strap | eyes | nostril | face | head | nose | ears | skin | mouth | lips | human | man | nail | decoration | timber | wood

License

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GSR Class L2

Description

Subjects

ireland | sandwich | kingsbridge | maunsell | theworks | sambo | inchicore | leinster | nationallibraryofireland | greatsouthernrailway | inchicoreworks | no842 | jamespo’dea | o’deaphotographiccollection | csrclassl2 | saddlerjackson | premisespilot | maunselldesigned

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Her training as a knight had been unconventional

Description

Model posing for a Turners publicity shot, August 1958 (TWAM ref. DT.TUR/4/1048/1). To read a blog about Turners advertising techniques see www.twmuseums.org.uk/engage/blog/turners-saved-my-marriage/. Tyne and Wear Archives presents a set of images taken by the Newcastle-based firm Turners (Photography) Ltd. They were taken by the firm on is own account for possible use in their advertising campaigns. Turners frequently hired models to help promote their work and to encourage sales in their shops. Some of the shots are humorous or bizarre while others are quite suggestive. The images are fascinating for what they tell us about the times that produced them ? the fashions, the attitudes, the technology ? Most of the images are quirky and almost seem to invite comments. If you?d like to suggest alternative captions we?d be delighted to hear them! (Copyright) We're happy for you to share this digital image within the spirit of The Commons. Please cite 'Tyne & Wear Archives & Museums' when reusing. Certain restrictions on high quality reproductions and commercial use of the original physical version apply though; if you're unsure please email info@twarchives.org.uk.

Subjects

model | modelling | turnersphotography | newcastleupontyne | photography | publicity | toy | horse | 1950s | studio | fashion | colourphotography | dress | swimsuit | playsuit | hat | lampshade | colourphotograph | socialhistory | posing | turnerspublicityshot | august1958 | modellingforturners | woman | female | advertisingcampaigns | promotion | sales | retail | shops | suggestivepose | bizzare | interesting | unusual | trend | strap | eye | ear | industry | abstract | digitalimage | saddle | feet | shoe | pattern | square | leg | skin | lines | earings | lipstick | mouth | lip | makeup | eyelashes | hair | floor | ceiling | neutralbackground | light | shadow | spotlight | centreofattention | striking | attentiongetter | circle | seated | attentive | ring | silver | shine | finger | hand | arm | body

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View of a Light Horse camp in the Middle East

Description

Subjects

horses | horse | postcard | middleeast | tent | camels | saddle | statelibraryofqueensland | militarycamp | picturepostcard | lighthorse | slq | australianlighthorse

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Creating a saddle bend

Description

A Flash format video showing how to create a saddle bend. (Medium Quality)

Subjects

plumbing | saddle bends | bending machine | PROPERTY (BUILT ENVIRONMENT) | Learning | Teaching | Students | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | EDUCATION / TRAINING / TEACHING | T | G

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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Creating a saddle bend

Description

A Flash format video showing how to create a saddle bend. (Low Quality)

Subjects

plumbing | saddle bend | bending machine | PROPERTY (BUILT ENVIRONMENT) | Learning | Teaching | Students | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | EDUCATION / TRAINING / TEACHING | T | G

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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Creating a saddle bend

Description

A video resource showing how to create a saddle bend including three qualities of video each with captions, navigation buttons and supporting information. (Packaged Version).

Subjects

plumbing | saddle bends | bending machine | PROPERTY (BUILT ENVIRONMENT) | Learning | Teaching | Students | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | EDUCATION / TRAINING / TEACHING | T | G

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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Creating a saddle bend

Description

A Flash format video showing how to create a saddle bend. (Quicktime)

Subjects

plumbing | saddle bends | bending machine | PROPERTY (BUILT ENVIRONMENT) | Learning | Teaching | Students | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | EDUCATION / TRAINING / TEACHING | T | G

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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