#maths
These are public posts tagged with #maths. You can interact with them if you have an account anywhere in the fediverse.
@rod2ik@mastodon.social« 380 ans de mystère enfin résolu » : des #mathématiciens ( #maths ) percent le secret ultime du #théorème des #cercles de #Descartes avec une #démonstration fulgurante
Les mathématiques ont récemment connu une avancée majeure…
Innovant - L'actualité des innovationsThis uses #TurfJs polygon length function to calculate its circumference. The underlying sorting of the coordinates uses polar coordinates, since that is how they are being randomly generated. By first sorting over the degrees and the distances.
For most instances this is a pretty good estimate, though in some case a self-intersecting polygon can be created, which hints that there is a more optimized polygon.
Further this problem is a typical 'travelling salesman problem' which can be solved via various algorithms.
Though before considering such optimization issues, there is the main question if the randomly generated POI is even accessible to the public.
In the case one is a pedestrian, one could use #overpass to gather information if any #OpenStreetMap highways exist in the proximity to the POI and then find the one that is the closest and permissive to pedestrians. Then move the POI to that location.
This example only works if there is enough #OSM data at the location.
Toying around with the idea of creating a random POI generator which can be used as a #StarCourse or an optimization challenge to navigate throughout the POIs.
This tool is required for the #SagaOfTheRuckers navigator challenge.
Tools: #TurfJs #Leaflet #OpenStreetMap #WebDev
"How do we know that a particular set of postulates, say those of elementary algebra, will never lead to a contradiction? The answer to this disposes once and for all of the hoary myth of absolute truth for the conclusions of pure mathematics. We do not know [...] that a particular set of postulates is self-consistent and that it will never lead to a contradiction." – Eric Temple Bell (1883-1960)
#quote #mathematics #math #maths
![Portrait of Eric Temple Bell, and a quote : "How do we know that a particular set of postulates, say those of elementary algebra, will never lead to a contradiction? The answer to this disposes once and for all of the hoary myth of absolute truth for the conclusions of pure mathematics. We do not know [...] that a particular set of postulates is self-consistent and that it will never lead to a contradiction."](https://media.mathstodon.xyz/media_attachments/files/114/303/173/993/456/523/original/1dddfb1441c29548.png "Portrait of Eric Temple Bell, and a quote : \"How do we know that a particular set of postulates, say those of elementary algebra, will never lead to a contradiction? The answer to this disposes once and for all of the hoary myth of absolute truth for the conclusions of pure mathematics. We do not know [...] that a particular set of postulates is self-consistent and that it will never lead to a contradiction.\"")
"Comment savons-nous qu'un ensemble particulier de postulats, disons ceux de l'algèbre élémentaire, ne conduira jamais à une contradiction ? La réponse à cette question élimine une fois pour toutes le vieux mythe de la vérité absolue des conclusions des mathématiques pures. Nous ne savons pas [...] si un ensemble particulier de postulats est cohérent, et s'il ne conduira jamais à une contradiction." – Eric Temple Bell (1883-1960)
#citation #mathématiques #maths #math
![Portrait d'Eric Temple Bell, et une citation : "Comment savons-nous qu'un ensemble particulier de postulats, disons ceux de l'algèbre élémentaire, ne conduira jamais à une contradiction ? La réponse à cette question élimine une fois pour toutes le vieux mythe de la vérité absolue des conclusions des mathématiques pures. Nous ne savons pas [...] si un ensemble particulier de postulats est cohérent, et s'il ne conduira jamais à une contradiction."](https://media.mathstodon.xyz/media_attachments/files/114/303/172/702/724/213/original/b09fd21a7c0083d3.png "Portrait d'Eric Temple Bell, et une citation : \"Comment savons-nous qu'un ensemble particulier de postulats, disons ceux de l'algèbre élémentaire, ne conduira jamais à une contradiction ? La réponse à cette question élimine une fois pour toutes le vieux mythe de la vérité absolue des conclusions des mathématiques pures. Nous ne savons pas [...] si un ensemble particulier de postulats est cohérent, et s'il ne conduira jamais à une contradiction.\"")
As a mathematician, I am upset by *anyone* who starts by setting ε < 0.
Theorem of the Day (April 8, 2025) : The Second Isomorphism Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/GroupTheory/SecondIsomorphism/TotDIsomorphism2.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#35
Yesterday was day 1 of the 3 day International Meeting of the STACK community.
It was inspiring to be around so many smart people working on improving #maths education. There was good coverage of the use of JSXGraph for creating questions with graphics that students can interact with . Recent developments in Large Language Models and #AI have made it much easier to create the #Javascript code required for #JSXGraph .
The schedule is as follows. All in person participants…
sites.google.comMath nerds, what is your favorite equation or expression and why?
Mine is : Δx · Δp ≥ ħ / 2
Because I find poetic that uncertainty is native to reality, it isn’t a failure, it’s fundamental feature!
@bibliolater@qoto.org
**Explaining the Trump Tariff Equation**
Stand-up Maths
#Video length: eighteen minutes and twenty-five seconds.
Enjoy the videos and music you love, upload original…
www.youtube.com@glyph
I hear you.
My favourite (perhaps less jarring?) example is when a court declares they have found someone guilty, and that their threshold of guilt is "on balance of odds".
I look at the lawyers and the witnesses and realise that none of them has studied actuarial or probability mathematics. I wouldn't even trust them to understand a bet on the horses. For a scientist to watch them is like observing a cargo cult. Worse, I am sure, is for a scientist to find themselves on the receiving end of such a court.
I would offer the meagre consolation that you can see the feedback loops that drive them to behave so, where they think themselves to have free will.
#cybernetics #actuarial #odds #maths #math #statistics #science #scientificInquiry #systemsArchitecture #justice #law #policing #cargoCult
"L'une des principales fins des mathématiques, quand elles sont correctement enseignées, est d'éveiller chez l'apprenant la foi en la raison, la confiance dans la vérité de ce qui a été démontré et dans la valeur de la démonstration." – Bertrand Russell (1872-1970)
#citation #mathématiques #maths #math
"One of the chief ends served by mathematics, when rightly taught, is to awaken the learner's belief in reason, his confidence in the truth of what has been demonstrated, and in the value of demonstration." – Bertrand Russell (1872-1970)
#quote #mathematics #math #maths
@anatudor@mastodon.socialSaw a @codepen demo using... a lot! of elements (screen 1) and quite a bit of #CSS to create a simple loader, so I forked it and made a 1 div version (screen 2) in under 30 CSS declarations (gradients, mask, variables to only change --c0 and --c1 values for 2nd loader): https://codepen.io/thebabydino/pen/PwoLJLR
#cssMask #cssGradient #conicGradient #maths #trigonometry #Sass #loader #web #dev #webDev #webDevelopment #code #coding #frontend #cssAnimation
Explaining the Trump Tariff Equation
Source : Youtube / Stand-up Maths
https://www.youtube.com/watch?v=j04IAbWCszg
#mathematics #math #maths #Youtube #Trump
Enjoy the videos and music you love, upload original…
www.youtube.comDennis Gaitsgory, Who Proved Part of Math’s Grand Unified Theory, Wins Breakthrough Prize
Source : Scientific American / Spektrum der Wissenschaft / Manon Bischoff
https://www.scientificamerican.com/article/dennis-gaitsgory-wins-breakthrough-prize-for-solving-part-of-maths-grand/
#mathematics #math #maths @SciAm
By solving part of the Langlands program, a mathematical…
Scientific AmericanSource : Youtube / Mathematical Visual Proofs
https://www.youtube.com/watch?v=heu3ha4X2YA
#mathematics #math #maths #Youtube
Theorem of the Day (April 7, 2025) : Euler’s Identity
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/GeometryAndTrigonometry/EulerIdentity/TotDEulerIdentity.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#36
#mathematics #maths #math #theorem @Theoremoftheday
USpol, tarriffs
@standupmaths looks at the maths of Trump's tariffs:
https://www.youtube.com/watch?v=j04IAbWCszg
Best quote: "This whole thing reeks of mathiness, which is where you can dress something up in the trappings of mathematics to make it look more legit ... when what you may have done is just come up with an idea and made it look more mathsy as a way to convince people you've put more thought into it than you actually have"