"We must therefore decide without knowing;...and we must follow rules without quite believing them. What I know is not that such and such thing is true, but that the best course for me is to *act as if* it were true" #Poincare
Happy birthday #mathematician Henri Poincaré (1854-1912), here in my Cubist #linocut portrait.
This print is about how movements in art can be connected with contemporary #math & #physics. Specifically, the way #Cubism breaks from 1 favoured perspective or absolute frame of reference & breaks down subjects into geometrical shapes from multiple points of view can be tied to advancements in non-Euclidian geometry in math & special relativity (Einstein, 1905).
#printmaking #sciart #Poincaré
#mathematician #linocut #math #physics #cubism #printmaking #sciart #poincare
Degree 3 Bethe lattice, embedded in a Poincaré disk
https://en.wikipedia.org/wiki/Bethe_lattice
#poincare #bethe #tree #graph #mastoart #mathart
"Who Pioneers the Concept of 4-Dimensional Spacetime" by Areeba Merriam 🔗 https://www.cantorsparadise.com/who-pioneers-the-concept-of-4-dimensional-spacetime-ae705369c1b0
#Spacetime #Time #Space #FourDimensionalSpacetime #RelativisticMechanics #NewtonianMechanics #EuclideanGeometry #HyperbolicGeometry #AlbertEinstein #Einstein #DavidHilbert #Hilbert #Lobachevsky #Riemann #Bolyai #HermannMinkowski #Minkowski #Poincaré #Framework #Relativity #GeneralRelativity #SpecialRelativity #Geometry #Mathematics #RelativisticPhysics
#relativisticphysics #mathematics #geometry #specialrelativity #generalrelativity #relativity #framework #poincare #minkowski #hermannminkowski #bolyai #riemann #lobachevsky #hilbert #DavidHilbert #einstein #alberteinstein #HyperbolicGeometry #EuclideanGeometry #newtonianmechanics #relativisticmechanics #fourdimensionalspacetime #space #time #spacetime
Anyone read A. I. Miller's Imagery in Scientific Thought Creating 20th-Century #Physics?
Seems interesting... I'm already looking at #Einstein, and I may need to look at #Poincaré and #Boltzmann anyway. Miller seems to present a different understanding of #Piaget's genetic epistemology than I had
#piaget #Boltzmann #poincare #einstein #physics
During the course "#Qualitative #theory of #dynamical systems" taught @UNamur, I asked students to report me their favourite application of the Implicit Function Theorem (IFT). In this unit, this #theorem plays a pivotal role for #bifurcations and preservation of #equilibria.
A student reported me that we can prove the existence of a return time for #Poincaré map of vector fields having a periodic orbit using the IFT. Here how 🧵:
🐦🐦🐦https://twitter.com/daquin_jerome/status/1595457028289449985?s=19
#poincare #equilibria #Bifurcations #theorem #dynamical #theory #qualitative