MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits:...

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Transcript of MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits:...

Page 1: MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits: That's a good rule of thumb for this class: if you run out of time, just guess It's
Page 2: MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits: That's a good rule of thumb for this class: if you run out of time, just guess It's
Page 3: MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits: That's a good rule of thumb for this class: if you run out of time, just guess It's
Page 4: MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits: That's a good rule of thumb for this class: if you run out of time, just guess It's
Page 5: MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits: That's a good rule of thumb for this class: if you run out of time, just guess It's
Page 6: MIT Mathematicsmath.mit.edu/classes/18.085/StrangQuotes.pdf · Professor Strang's Greatest Hits: That's a good rule of thumb for this class: if you run out of time, just guess It's
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DifferentialForms - Mathematicsmath.mit.edu/classes/18.952/2018SP/files/18.952_book.pdfDraft: March28,2018 Organization vii of dual space and quotient space. Then inSection 1.3 we

DifferentialForms - Mathematicsmath.mit.edu/classes/18.952/2018SP/files/18.952_book.pdfDraft: March28,2018 Organization vii of dual space and quotient space. Then inSection 1.3 we

Introduction to Arithmetic Geometry 18 - Mathematicsmath.mit.edu › classes › 18.782 › Lecture1Slides.pdf · 2014-05-25 · Diophantine equations Example (Pythagorean triples

Introduction to Arithmetic Geometry 18 - Mathematicsmath.mit.edu › classes › 18.782 › Lecture1Slides.pdf · 2014-05-25 · Diophantine equations Example (Pythagorean triples

Mirror Symmetry and Localization - Mathematicsmath.mit.edu/conferences/unityofmathematics/talks/yau...Path integrals. (Witten’s proposed proof of mirror conjecture, 1990) B. The

Mirror Symmetry and Localization - Mathematicsmath.mit.edu/conferences/unityofmathematics/talks/yau...Path integrals. (Witten’s proposed proof of mirror conjecture, 1990) B. The

Introduction to Julia: Why are we doing this to you? (Fall 2015) Steven G. Johnson, MIT Applied Math MIT classes 18.303, 18.06, 18.085, 18.337.

Introduction to Julia: Why are we doing this to you? (Fall 2015) Steven G. Johnson, MIT Applied Math MIT classes 18.303, 18.06, 18.085, 18.337.

Annals of Mathematicsmath.mit.edu/...complex-analyticity_harmonic_maps.pdf · isomorphic fundamental groups are either biholomorphic or conjugate biholomorphic. Yau conjectured that

Annals of Mathematicsmath.mit.edu/...complex-analyticity_harmonic_maps.pdf · isomorphic fundamental groups are either biholomorphic or conjugate biholomorphic. Yau conjectured that

Summary - Mathematicsmath.mit.edu/research/highschool/rsi/documents/2013Dangovski.pdfPolynomial Identities theory, linear algebra and representation theory we also manage to explain

Summary - Mathematicsmath.mit.edu/research/highschool/rsi/documents/2013Dangovski.pdfPolynomial Identities theory, linear algebra and representation theory we also manage to explain

MANUAL FOR INSTRUCTORS - MIT Mathematicsmath.mit.edu/~gs/linearalgebra/ila_sol5_ch06.pdf · MANUAL FOR INSTRUCTORS Gilbert Strang Massachusetts Institute of Technology ... If c =

MANUAL FOR INSTRUCTORS - MIT Mathematicsmath.mit.edu/~gs/linearalgebra/ila_sol5_ch06.pdf · MANUAL FOR INSTRUCTORS Gilbert Strang Massachusetts Institute of Technology ... If c =

7 TECHNIQUES OF INTEGRATION - Mathematicsmath.mit.edu › ~lzepeda › documents › Math2BSpring17 › Homework … · 4 ¤ CHAPTER 7 TECHNIQUES OF INTEGRATION 1 √ 1− 2 ,and

7 TECHNIQUES OF INTEGRATION - Mathematicsmath.mit.edu › ~lzepeda › documents › Math2BSpring17 › Homework … · 4 ¤ CHAPTER 7 TECHNIQUES OF INTEGRATION 1 √ 1− 2 ,and

Robert Jonson-Lady Strang's Almaine (Guitar Transcription)

Robert Jonson-Lady Strang's Almaine (Guitar Transcription)

vaughan-20151104141907math.mit.edu/classes/18.085/2015FA/exam2_Solutions.pdf · 2015. 11. 17. · We +0 cJd (d) (10 points) Now, let's consider Truss #2. Note that in node 4 the pin

vaughan-20151104141907math.mit.edu/classes/18.085/2015FA/exam2_Solutions.pdf · 2015. 11. 17. · We +0 cJd (d) (10 points) Now, let's consider Truss #2. Note that in node 4 the pin

Global Springer theory - Mathematicsmath.mit.edu/~zyun/GS_published.pdforganizes affine Springer fibers into geometrically manageable families. An essential difficulty is that the

Global Springer theory - Mathematicsmath.mit.edu/~zyun/GS_published.pdforganizes affine Springer fibers into geometrically manageable families. An essential difficulty is that the

STRUCTURALCOMMENTS( - MIT Mathematicsmath.mit.edu/~plamen/999Godetia/WellResubmittal.pdf · 1. Wewillutilizenogenerator,sinceoneisnotrequiredp erWFPD ... The’tanks’will’fill’fromthe’well’by’a’Flint’and’Walling’submersible’pump’

STRUCTURALCOMMENTS( - MIT Mathematicsmath.mit.edu/~plamen/999Godetia/WellResubmittal.pdf · 1. Wewillutilizenogenerator,sinceoneisnotrequiredp erWFPD ... The’tanks’will’fill’fromthe’well’by’a’Flint’and’Walling’submersible’pump’

! 1!math.mit.edu/classes/18.085/Strang_quotes.pdf · ! 1! Professor'Strang’s'Greatest'Hits:' ' That’s'a'good'rule'of'thumb'for'this'class:'if'you'run'out'of'time,'just'guess'

! 1!math.mit.edu/classes/18.085/Strang_quotes.pdf · ! 1! Professor'Strang’s'Greatest'Hits:' ' That’s'a'good'rule'of'thumb'for'this'class:'if'you'run'out'of'time,'just'guess'

Principal Component Analysis - MIT Mathematicsmath.mit.edu/~rothvoss/18.304.1PM/Presentations/3-Yihui... · What and why? - Principal Component Analysis (PCA) Map high-dimensional

Principal Component Analysis - MIT Mathematicsmath.mit.edu/~rothvoss/18.304.1PM/Presentations/3-Yihui... · What and why? - Principal Component Analysis (PCA) Map high-dimensional

=1 - Mathematicsmath.mit.edu/.../library/hitchin_stable_bundles_integrable_systems.pdf · The cotangent bundle T*Nof an n-dimensional complex manifold Nis a ... bundle Pover Mwith

=1 - Mathematicsmath.mit.edu/.../library/hitchin_stable_bundles_integrable_systems.pdf · The cotangent bundle T*Nof an n-dimensional complex manifold Nis a ... bundle Pover Mwith

vaughan-20150617135854 - MIT Mathematicsmath.mit.edu/classes/18.085/summer2015/pset2015/pset2soln.pdf · 8True solution O, I, 1000); u=x+l/ ( 1) ) * (exp (x) —1 ) ; 8Centered difference

vaughan-20150617135854 - MIT Mathematicsmath.mit.edu/classes/18.085/summer2015/pset2015/pset2soln.pdf · 8True solution O, I, 1000); u=x+l/ ( 1) ) * (exp (x) —1 ) ; 8Centered difference

Dependent Random Choice - Mathematicsmath.mit.edu/~fox/paper-dependent-random-choice.pdfthe proof using dependent random choice is different and provides somewhat stronger estimates.

Dependent Random Choice - Mathematicsmath.mit.edu/~fox/paper-dependent-random-choice.pdfthe proof using dependent random choice is different and provides somewhat stronger estimates.

Generating Functions Part 2 - MIT Mathematicsmath.mit.edu/~rothvoss/18.304.1PM/Presentations/2-Nargiss-GeneratingFunctions2.pdfReminder: Catalan Sequence •The Catalan sequence 1,

Generating Functions Part 2 - MIT Mathematicsmath.mit.edu/~rothvoss/18.304.1PM/Presentations/2-Nargiss-GeneratingFunctions2.pdfReminder: Catalan Sequence •The Catalan sequence 1,

Hw7 - MIT Mathematicsmath.mit.edu/~mbehrens/18.100A/Hw7.pdfTitle: Hw7.jnt Author: Mark Created Date: 3/31/2014 10:07:46 PM

Hw7 - MIT Mathematicsmath.mit.edu/~mbehrens/18.100A/Hw7.pdfTitle: Hw7.jnt Author: Mark Created Date: 3/31/2014 10:07:46 PM

MANUAL FOR INSTRUCTORS - MIT Mathematicsmath.mit.edu/~gs/linearalgebra/ila_sol5_ch02.pdf · 2017-08-14 · Fifth Edition MANUAL FOR INSTRUCTORS Gilbert Strang Massachusetts Institute

MANUAL FOR INSTRUCTORS - MIT Mathematicsmath.mit.edu/~gs/linearalgebra/ila_sol5_ch02.pdf · 2017-08-14 · Fifth Edition MANUAL FOR INSTRUCTORS Gilbert Strang Massachusetts Institute