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Paysages Mathématiques · @paysmaths

227 followers · 1176 posts · Server mathstodon.xyz

Résoudre des équations en comptant des arbres
Source : CNRS - Images des mathématiques / Berglund, Nils

https://images.math.cnrs.fr/Resoudre-des-equations-en-comptant-des-arbres.html
#mathématiques #maths #math #équations

#equations #math #maths #mathematiques

Last updated 1 year ago

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Jim Donegan ✅ · @jimdonegan

1497 followers · 4337 posts · Server mastodon.scot

Why you can't go #FasterThanLight (with #Equations)) - #SixtySymbols

https://www.youtube.com/watch?v=DGpwkWhnWAI&ab_channel=SixtySymbols

#Physics #Relativity #SpecialReltivity #GeneralRelativity #Light #FTL #LightSpeed #Einstein #AlbertEinstein #BradyHaran #MikeMerrifield #ProfMikeMerrifield #ProfessorMikeMerrifield #UniversityOfNottingham #NottinghamUniversity

#nottinghamuniversity #UniversityofNottingham #professormikemerrifield #profmikemerrifield #mikemerrifield #bradyharan #alberteinstein #einstein #lightspeed #FTL #light #generalrelativity #specialreltivity #relativity #physics #sixtysymbols #equations #fasterthanlight

Last updated 1 year ago

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Jim Donegan ✅ · @jimdonegan

1467 followers · 4317 posts · Server mastodon.scot

#SabineHossenfelder - What are #DifferentialEquations and how do they work?

https://www.youtube.com/watch?v=Em339AlejIs&ab_channel=SabineHossenfelder

#Math #Maths #Mathematics #Equations #Physics #Prediction

#prediction #physics #equations #mathematics #maths #math #differentialequations #sabinehossenfelder

Last updated 2 years ago

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Phys.org · @physorg_bot

446 followers · 11414 posts · Server social.platypush.tech

Referenced link: https://techxplore.com/news/2023-04-ai-scientist-combines-theory-scientific.html
Discuss on https://discu.eu/q/https://techxplore.com/news/2023-04-ai-scientist-combines-theory-scientific.html

Originally posted by Phys.org / @physorg_com: http://nitter.platypush.tech/TechXplore_com/status/1646075691069235200#m

RT by @physorg_com: New 'AI scientist' combines theory and data to discover scientific #equations @umbc @NatureComms https://techxplore.com/news/2023-04-ai-scientist-combines-theory-scientific.html

#equations

Last updated 2 years ago

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ParkHealth · @ParkHealth

4 followers · 562 posts · Server mstdn.science

Open media

In the #2020s, several important #mathematical #formulas and #equations had been related to #socialnetworks and #socialgraphs. Some notable ones included the Erdős–Rényi #randomgraphmodel (G(n, p)), the Watts-Strogatz #smallworld #networkmodel, and the Barabási-Albert #preferential #attachmentmodel. These models had been used to explain the #emergence of specific #network properties, such as the small-world phenomenon, #scalefreeness, and clustering. https://parkhealth.io/Social+Graph

#2020s #Mathematical #formulas #equations #socialNetworks #socialgraphs #randomgraphmodel #smallworld #networkmodel #preferential #attachmentmodel #Emergence #network #scalefreeness

Last updated 2 years ago

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Arnoud Buzing · @arnoudbuzing

22 followers · 58 posts · Server mathstodon.xyz

#Solving #differential #equations in the #wolfram #language

#math #mathematics

https://www.youtube.com/shorts/EuoeECjGSGw

#mathematics #math #language #wolfram #equations #differential #solving

Last updated 2 years ago

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Jeremy Monat · @jemonat

54 followers · 101 posts · Server fosstodon.org

If you need to solve symbolic #math problems in #Python code, check out the complete #solving guide for SymPy #computer #algebra package I wrote ten pages on topics such as systems of #equations, ordinary #differential equations, #polynomials, #inequalities, #matrix equations, and Diophantine equations, and numerical solving. https://docs.sympy.org/dev/guides/solving/index.html

#math #python #solving #computer #algebra #equations #differential #polynomials #inequalities #matrix

Last updated 2 years ago

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Knowledge Zone · @kzoneind

160 followers · 803 posts · Server mstdn.social

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Global fresh #Water demand will outstrip supply by 40% by 2030, say experts : Guardian

Human #Brain cells used as living #AIs to solve mathematical #Equations : New Scientist

Why Saving World’s #Peatlands Can Help Stabilize the #Climate : Yale

Check our most popular #KnowledgeLinks

https://knowledgezone.co.in/resources/bookmarks

#knowledgelinks #Climate #Peatlands #equations #AIS #brain #Water

Last updated 2 years ago

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Jim Donegan ✅ · @jimdonegan

1416 followers · 3930 posts · Server mastodon.scot

#SabineHossenfelder - Do #ComplexNumbers Exist?

"Do complex #Numbers exist or are they just a convenient, #MathematicalTool that we use in science? With the exception of #QuantumMechanics, it is easy to get rid of complex numbers. But can you do quantum mechanics without complex numbers? A recent paper says no, you can't."

https://www.youtube.com/watch?v=ALc8CBYOfkw&ab_channel=SabineHossenfelder

#Math #Maths #Mathematics #Science #Physics #Equations #ComplexPlane #TheComplexPlane #ComplexNumber #e #i #Pi #QM #QuantumPhysics

#quantumphysics #qm #pi #i #e #complexnumber #thecomplexplane #complexplane #equations #physics #science #mathematics #maths #math #quantummechanics #mathematicaltool #numbers #complexnumbers #sabinehossenfelder

Last updated 2 years ago

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Knowledge Zone · @kzoneind

126 followers · 441 posts · Server mstdn.social

Open media

‘Super-tipping points’ could trigger cascade of #Climate #Action : Guardian

Why Do We #Dream? A New Theory on How It Protects Our #Brains : Time

James #Maxwell and How his #Equations Shaped the Modern World : Medium

Check our most popular #KnowledgeLinks

https://knowledgezone.co.in/resources/bookmarks

#knowledgelinks #equations #maxwell #brains #dream #action #Climate

Last updated 2 years ago

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nilesh · @nilesh

441 followers · 858 posts · Server fosstodon.org

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What I find interesting is: b^2 -4ac > 0 can be rewritten to say that the arithmetic mean of roots is > geometric mean. But what even IS geometric mean for two complex numbers?

#math #mathematics #quadratic #equations

Last updated 2 years ago

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nilesh · @nilesh

441 followers · 858 posts · Server fosstodon.org

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This plane represents all possible #quadratic #equations with real coefficients.

The area in red is where both roots are real because the discriminant b^2 - 4ac is > 0. All the quadratics with imaginary roots lie inside the white region that's a parabola itself.

Interesting.

#maths

#quadratic #equations #maths

Last updated 2 years ago

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mc ☕ · @mc

84 followers · 870 posts · Server qoto.org

> One of the central problems in fluid dynamics is to figure out if the [Euler] equations ever fail, outputting nonsensical values that render them unable to predict a fluid’s future states.
> Mathematicians have long suspected that there exist initial conditions that cause the equations to break down. But they haven’t been able to prove it.
> In a preprint posted online last month, a pair of mathematicians has shown that a particular version of the Euler equations does indeed sometimes fail.
...
> Perhaps in some situations, the equations will proceed as expected, producing precise values for the state of the fluid at any given moment, only for one of those values to suddenly skyrocket to infinity. At that point, the Euler equations are said to give rise to a “singularity” — or, more dramatically, to “blow up.”
> Once they hit that singularity, the equations will no longer be able to compute the fluid’s flow.
...

Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations
https://www.quantamagazine.org/computer-helps-prove-long-sought-fluid-equation-singularity-20221116/

Very important and interesting work, if you're a mathematician, a physicist or an engineer that has ever 'crashed' with Euler/Navier-Stokes equations.

#math #physics #fluids #euler #navierstokes #equations #singularities