Years ago I recall the question of whether complex numbers vs real numbers gave #neuralnetworks a greater ability to learn ?
I don't recall the answer
does anyone know?
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#maths
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This 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.
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 .
sites.google.comSTACK 2025 - ScheduleThe schedule is as follows. All in person participants will be provided with a site plan to help you find the rooms. All remote participants will be emailed a Zoom link. The workshops, discussions, talks and network meetings are all available for both in person and remote participants.
The icon 5️⃣
**Explaining the Trump Tariff Equation**
Stand-up Maths
#Video length: eighteen minutes and twenty-five seconds.
www.youtube.com- YouTubeEnjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.
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@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.
"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
OK hive mind, I would like to draw some diagrams using trigonometry, with variables, and be able to spit out the diagrams as SVG or other vectors. What software should I be using? I can sort-of draw in PHP/GD but that’s not vector. #programming #maths
Saw 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
"Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems [...] can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences." – Erik Christopher Zeeman (1925-2016)
#quote #mathematics #math #maths #reasoning
![Photographic portrait of Erik Christopher Zeeman, and a quote : "Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems [...] can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences."](https://media.mathstodon.xyz/media_attachments/files/114/291/848/842/309/233/original/1299267cf2a6603f.png "Photographic portrait of Erik Christopher Zeeman, and a quote : \"Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems [...] can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.\"")
"La mathématique n'est pas l'arithmétique. Bien que la mathématique puisse être issue des pratiques de comptage et de mesure, elle traite en réalité du raisonnement logique dans lequel des théorèmes [...] peuvent être déduits des hypothèses de départ. C'est, peut-être, la plus pure et la plus rigoureuse des activités intellectuelles, et elle est souvent considérée comme la reine des sciences." – Erik Christopher Zeeman (1925-2016)
#citation #mathématiques #maths #math #raisonnement
![Portrait photographique d'Erik Christopher Zeeman, et une citation : "La mathématique n'est pas l'arithmétique. Bien que la mathématique puisse être issue des pratiques de comptage et de mesure, elle traite en réalité du raisonnement logique dans lequel des théorèmes [...] peuvent être déduits des hypothèses de départ. C'est, peut-être, la plus pure et la plus rigoureuse des activités intellectuelles, et elle est souvent considérée comme la reine des sciences."](https://media.mathstodon.xyz/media_attachments/files/114/291/848/828/141/486/original/a59205c2ca0da83a.png "Portrait photographique d'Erik Christopher Zeeman, et une citation : \"La mathématique n'est pas l'arithmétique. Bien que la mathématique puisse être issue des pratiques de comptage et de mesure, elle traite en réalité du raisonnement logique dans lequel des théorèmes [...] peuvent être déduits des hypothèses de départ. C'est, peut-être, la plus pure et la plus rigoureuse des activités intellectuelles, et elle est souvent considérée comme la reine des sciences.\"")
Can anyone suggest good tutorials for learning an intuition and working with the exterior product of vectors and multi-vectors in general?
Having access to an oriented area (and other oriented objects beyond just directions) seems very powerful.
I've been trying to learn it and show my kids some bits of it, as it seems potentially more learnable than just "vector algebra": there's more there to connect together – the concepts are reinforced by carrying through in to more places?
Anyway – a pedagogical approach to this would be splendid. Thanks!
I am rather excited to be attending the 3 day International Meeting of the STACK Community 2025 starting Monday. To quote from the site
“The annual meetings of the STACK Community are for all users of the STACK automated e-assessment system (https://stack-assessment.org/) to exchange experiences, ideas, and research topics.”
You can see the schedule here
https://sites.google.com/view/stack2025/schedule
stack-assessment.orgSTACKNone
EF Apart from visiting with a furiendo, the other reason is to visit broome bridge, where the quaternion equation was carved into.
"It is therefore through the study of mathematics, and only through it, that we can form a fair and thorough idea of what a science is [...]. Any scientific education which does not begin with such a study is therefore necessarily flawed in its foundations." – Auguste Comte (1798-1857)
#quote #mathematics #maths #math #science
![Photographic portrait of Auguste Comte, and a quote : "It is therefore through the study of mathematics, and only through it, that we can form a fair and thorough idea of what a science is [...]. Any scientific education which does not begin with such a study is therefore necessarily flawed in its foundations."](https://media.mathstodon.xyz/media_attachments/files/114/286/186/334/655/794/original/31d003d55b35c813.png "Photographic portrait of Auguste Comte, and a quote : \"It is therefore through the study of mathematics, and only through it, that we can form a fair and thorough idea of what a science is [...]. Any scientific education which does not begin with such a study is therefore necessarily flawed in its foundations.\"")
"C'est donc par l’étude des mathématiques, et seulement par elle, que l'on peut se faire une idée juste et approfondie de ce que c’est qu’une science [...]. Toute éducation scientifique qui ne commence point par une telle étude, pèche donc nécessairement par sa base." – Auguste Comte (1798-1857)
#citation #mathématiques #maths #math #science
![Portrait photographique d'Auguste Comte, et une citation : "C'est donc par l’étude des mathématiques, et seulement par elle, que l'on peut se faire une idée juste et approfondie de ce que c’est qu’une science [...]. Toute éducation scientifique qui ne commence point par une telle étude, pèche donc nécessairement par sa base."](https://media.mathstodon.xyz/media_attachments/files/114/286/186/022/152/939/original/e33e72453c8883c2.png "Portrait photographique d'Auguste Comte, et une citation : \"C'est donc par l’étude des mathématiques, et seulement par elle, que l'on peut se faire une idée juste et approfondie de ce que c’est qu’une science [...]. Toute éducation scientifique qui ne commence point par une telle étude, pèche donc nécessairement par sa base.\"")
Teach Math with film for Mathematics & Statistics Month in April! We have film guides with math lesson suitable for grade 4 all the way to grade 12!
Get your free math lesson plans and liven up your math classes today! 1/2
https://journeysinfilm.org/articles/teach-math-with-film-for-math-and-stats-month/
#MathAndStatsMonth #Math #Maths #Mathematics #StemEd #Education #Homeschooling @education @edutooters @stemed
