In microeconomics, an Engel curve describes how household expenditure on a particular good or service varies with household income. There are two varieties of Engel curves. Budget share Engel curves describe how the proportion of household income spent on a good varies with income. Alternatively, Engel curves can also describe how real expenditure varies with household income. They are named after the German statistician Ernst Engel (1821–1896), who was the first to investigate this relationship between goods expenditure and income systematically in 1857. The best-known single result from the article is Engel's law which states that as income grows, spending on food becomes a smaller share of income; therefore, the share of a household's or country's income spent on food is an indication of their affluence. (Wikipedia).
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.
From playlist 3D printing
Frobenius distribution for pairs of elliptic curves and exceptional isogenies - Francois Charles
Francois Charles March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
5. Is There a Nutrition-Based Poverty Trap?
MIT 14.73 The Challenge of World Poverty, Spring 2011 View the complete course: http://ocw.mit.edu/14-73S11 Instructor: Esther Duflo License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 14.73 The Challenge of World Poverty, Spring 2011
Lec 6 | MIT 14.01SC Principles of Microeconomics
Lecture 6: Deriving Demand Curves Instructor: Jon Gruber, 14.01 students View the complete course: http://ocw.mit.edu/14-01SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 14.01SC Principles of Microeconomics
Problem Set 3, Problem #5 | MIT 14.01SC Principles of Microeconomics
Problem Set 3, Problem #5 Instructor: Greg Hutko View the complete course: http://ocw.mit.edu/14-01SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 14.01SC Principles of Microeconomics
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
Isosceles Triangle: Dynamic Illustrations without Words
GeoGebra Resource Link: https://www.geogebra.org/m/Au4rzFcJ
From playlist Geometry: Dynamic Interactives!
Lecture 3: Income and Substitution Effects
MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2
From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
Mirror symmetry & Looijenga's conjecture - Philip Engel
Philip Engel Columbia University October 29, 2014 A cusp singularity is an isolated surface singularity whose minimal resolution is a cycle of smooth rational curves meeting transversely. Cusp singularities come in naturally dual pairs. In the 1980's Looijenga conjectured that a cusp sing
From playlist Mathematics
Karl Marx and Friedrich Engels
VideoScribe animation that introduces the work of Karl Marx and Friedrich Engels in relationship to power, politics and International Relations. Scripted and read by Associate Professor Elizabeth Thurbon.
From playlist UNSW Arts & Social Sciences
5. Descriptive and Functional Theory
MIT 4.241J Theory of City Form, Spring 2013 View the complete course: http://ocw.mit.edu/4-241JS13 Instructor: Julian Beinart This lecture introduces theories concerning historical value, early Marxism, uniqueness, speed of change, genius loci, ecology of people, divisions, economic model
From playlist MIT 4.241J Theory of City Form, Spring 2013
The Value of Marx’s Capital - Das Kapital: Critique, History, Knowledge
Terrell Carver is Professor of Political Theory at the University of Bristol, UK. He has published widely on Marx and Engels, including translations, editions and commentary; also on sex, gender, sexuality and masculinity in International Relations; and on post-structuralist methodology an
From playlist Whitney Humanities Center
7. The Early Cities of Capitalism
MIT 4.241J Theory of City Form, Spring 2013 View the complete course: http://ocw.mit.edu/4-241JS13 Instructor: Julian Beinart This lecture discusses changes associated with the Industrial Revolution, with a focus on London. Topics include the migration from rural to urban, the Inclosure A
From playlist MIT 4.241J Theory of City Form, Spring 2013
David Kinderlehrer - 22 September 2016
Kinderlehrer , David "The gradient flow of microstructure"
From playlist A Mathematical Tribute to Ennio De Giorgi
Chantal David: Distributions of Frobenius of elliptic curves #5
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
Chantal David: Distributions of Frobenius of elliptic curves #1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Shparlinski/Kohel
Simulating Competition and Logistic Growth
Resource limits bend exponential curves into S-shaped logistic curves. The fourth in a series on evolution. Made with Blender and python. Github: https://github.com/Helpsypoo/primer Special thanks to supporters on Patreon, especially: Jordan Scales 世珉 匡 Eric Helps Ben Kamens Christy Ser
From playlist Evolution