see things differently

Posts tagged with PDE's

Branched Manifolds

Williams, Robert F.
Expanding attractors. Publications Mathématiques de l’IHÉS, 43 (1974), p. 169-203

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summary of Edward Tufte's The Visual Display of Quantitative Information

POSTS

Manifolds, Metrics, StarFox, and Self-versus-Other

Things I learned as an Entrepreneur.

μ dt + σ dWt, my #ss

Category Theory, Postmodernism, and Object-Oriented Programming.

Part & Whole I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ ∑_i,j

Change one thing and you change everything

Immigrants should teach high school Spanish.

Superposition of feelings.

The worst thing about lawyers

School maths I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ sin & cos Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XIX XXX XXXI XXXII XXXIII XXXIV XXXV XXXVI XXXVII XXXVIII XXXIX XL

Logic & emotion are not opposites.

College majors versus industry & job title

Seeing higher dimensions I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ XI

Trichotomy, QCD, and Dialectic

Linear algebra is the main barrier between mathematicians and everyone else.

What is a determinant?, a Jacobian?, how to multiply matrices, the different kinds of matrices, matrices that act like just one number, how to think about matrices as linear transformations "of an entire space".

Fuzzy Thinking I Ⅱ Ⅲ

Rubik's Cube and Quantum Chromodynamics

When Doves Cry inside a Convex Hull

6-D Sphere, 4-D Cube, 3-D Random Walk

Time is like space.

Thinking with probability distributions I Ⅱ III Ⅳ V

Why I Despise the MBTI.

Imagination, creativity, and artistry are distinct.

Why I support progressive taxation.

Department of Happiness studies.

Who's more moral, journalists or hedge fund managers?

Our Flat Solar System

Hey! I baked you some Wiener processes!

Mathematics of people I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XVIII XIX XX XXI XXII XXIII XXIII XXIV XXV XXVI XXVII XXVIII XXIX XXX XXXI XXXII XXXIII XXXIII XXXIV XXXV XXXVI XXXVII Incomparable things.

How not to draw a probability distribution.

READ before you upvote.

Watch a windmill go up in 1 minute.

Physics 0 I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII

Logic I Ⅱ Ⅲ IV V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII Causality I II Ⅳ V

Logicism, Scientism, Logocentrism I Ⅱ Ⅲ Ⅳ V VI

Pizza, I like. (OSV)

Probability & Statistics I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XIX XX

Financial markets are not just an infinite time series.

Fahrenheit is better than Celsius.

Total variance can be split into parts.

Zeno's Paradox, resolved.

Business I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XIX

Three views of Special Relativity

The Hotness Scale

The universe is a song, singing itself.

43252003274489856000

Philosophy I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XVIII XIX XX XXI

A Quant in King Arthur's Court

Eigenfaces, eigenbasis, eigenvectors, eigenfunctions, eigendirection, eigengraph, eigenvalue, eigentweet, eigen-hacker-news-post.

Spectral Mesh Compressions of Ponies

Grigory Perelman is not weird.

The distribution of digits in √2's decimal expansion

Polymorphism, overloading, and all that

The Self I Ⅱ Ⅲ vs Other I II III Ⅳ

Zeno's Paradox, Resolved

Beyond Between Good and Evil

Different Conceptions of Number 0 I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV

Something stupid that stupid magazines and blogs said is true, is not true. Your 12th Boyfriend is not Mr. Right.

The Social Cost of Lawyers

Unmeasurable distances.

Drama in ƒ: ℤ₂ × ℤ₂ → {0,1}

Shapes I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XIX XX XXI XXII XXIII XXIV XXV XXVI XXVII

Poor Estadounidenses are rich by world standards and historical standards.

Language 0 I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII Concepts I ">Ⅱ Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV

Regression analysis is only reliable for interpolation – not extrapolation.

God's gender.

Where should I start learning mathematics if I didn't go very far with it in school?

Correlation, cointegration, causation and OLS.

Different conceptions of distance & size I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV, XV, XVI, XVII, XVIII, XIX XX XXI

Realised and unrealised "human capital"

Talking in Tuples: Mathematics is the most different language.

Resolving the gender wars with support vector machines and probability distributions.

Zero-sum locally, positive-sum globally.

Religious ∞, Math ∞, Graham's Number, and ∞+1

Farming and the volatility landscape.

Do numbers exist?

Meditation — invented by people without iPhones.

(all the) Things You Can Do With Four Things

Un-priming experimental subjects.

Bad mathematical writing I Ⅱ Ⅲ

1729 is not a number; it's a method of calculation.

Mexican immigrants are Native Americans.

Impulse control, the hedonic treadmill, what really matters I Ⅱ Ⅲ Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII XIII XIV XV XVI XVII XVIII XIX XX XXI XXII XXIII XXIV XXV XXVI XXVII XXVIII

Wassily Leontief's vision of the economy.

Convolving life-experiences / life-paths γ I Ⅱ Ⅲ Ⅳ V

Do we live in a 3-dimensional universe because that's the most interesting universe?

Spatial voting theory.

Noncommutative I Ⅱ Ⅲ IV

Jan Koenderink on clouds.

Dmitry Tymoczko's mathematical theory of Western music.

1.4142135623730950488
016887242096980785696
718753769480731766797
379907324784621070388 (my favourite number)

What's wrong with OKCupid's matching algorithm.

User-friendly search means filters.

Better word association for search engines doing data mining

What's half of 100℉? It's not 50℉. Affine transformations.

Feminine cause ( Yin 阴)

The speed of imagination.

Complexity I Ⅱ Ⅲ Ⅳ V

Does time pass for a photon?

Oaken staff beats longsword, and other implications of the Central Limit Theorem.

Rochambot is intransitive.

History I Ⅱ III Ⅳ V VI Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ XII

The Vector Mathematics of Colour Space.

Utility Theory maps
ℝᴺ × ℕᴷ → ??? → ≻

Linear Combinations of Ideas

The ℝeal numbers are messed up. I Ⅱ Ⅲ Ⅳ V VI

Real Dynamics vs the Eternal Return: Cantor whomps Nietzsche

Logical circular logic

Let's ditch the ★★★★★ rating system for books (Amazon), movies (Netflix), and surveys (SurveyMonkey).

"tweep"

NUMERARY BESTIARY

• Integration by Parts
• Power Series (spectrum)
• Geometric Series
• Concave
• Imaginary Arithmetic
• Linear
• Non-linear
• Convex Combinations
• The Differential
• Phase Space
• Dynamical Systems
• Matrix Multiplication
• Graphs (networks, not plots)
• Noncommutative
• Nontrivial
• Outer Product
• Inner Product (how to multiply matrices)
• Category & Functor
• Tensor
• Topology
• Operators
• Transforms
• Eigenvectors
• Projective Geometry
• Weighted Averages
• Fuzzy Numbers
• Kernels
• Sigma Algebras
• Autocorrelation
• Convergence of series
• √π
• Imprecise Probability
• Quantum Logic
• Robust Regression
• Groups
• Polytopes (high-dimensional polygons)
• Game Theory
• Determinant of a Matrix
• Jacobians
• Vectors
• Time Series
• GARCH
• Wavelet Basis
• Fourier Basis
• Positive Semi-Definite
• The Laplace Transform
• Manifolds
• Metrics
• Quasimetrics
• Norms
• Measures
• Topology
• Splines
• Sheaves
• Solitons
• Forms
• Groups
• Semigroups
• Corpora
• Boundaries and flows
• Vector Fields
• Stereographic Projection
• Geometries
• Torsors
• Fundamental Theorem of Algebra
• Central Limit Theorem
• Fundamental Theorem of Calculus
• Vectors
• Logarithms
• Sin and Cos
• The Pythagorean Theorem
• Imprecision (on purpose)

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