Every Tetromino using same tetromino - https://youtu.be/ykepcJcPLy0
Every Tetromino using same tetromino - https://youtu.be/ykepcJcPLy0
How much total drag does my truck create while moving down the highway?
Measure it indirectly!
Run cellphone GPS logger at 1-second interval. Get truck up to speed on flat section of highway, put transmission in neutral, foot off the gas. Let the truck slow down 30 - 45 seconds to get a decent number of data points. Make another data run on same section, but opposite direction to average out effects of wind and any slope.
Import GPS log into spreadsheet.
A linear fit gives you a straight line slope...good enough to determine deceleration...then apply that to F = m * a (you need to know truck's weight) Now you know total drag force at one speed.
Total drag is air resistance (varies with square of speed) plus rolling friction (assume it's constant). OK, do a quadratic/polynomial fit. Now you know rolling friction. Subtract from total drag, and you can determine area-drag (Cd * frontal area) of your truck.
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What's a better predictor of med. students' accuracy in #diagnosis?
- #Motivation to become a researcher
- #Math ability
Among 128 students of #medicine, #numeracy was *much* more predictive of scores on medical cases involving #probability.
"Chaque fois que j’entends parler de la beauté des mathématiques, de manière systématique j’ajoute que oui, elles sont belles, très belles même, mais qu’il ne faut surtout pas oublier qu’elles sont aussi très utiles." – Maria J. Esteban (1956–)
#citation #mathématiques #maths #math
"Whenever I hear people talking about the beauty of mathematics, I systematically add that yes, they are beautiful, very beautiful indeed, but that we must not forget that they are also very useful." – Maria J. Esteban (1956–)
#quote #mathematics #math #math
Pedro the #Math Cat having a sleepy #Caturday
#Cats #CatsOfMastodon
I appreciate being able to run my own local #LLMs so I can ask it questions like this
Hello #Math folks. I'm trying to remember a problem I thought I saw here recently (but can't find)
Something like this:
A, B prime
P < 300
Find all possible A, B, P such that
A^2 + B^2 = P
Can anyone point me to the post/source? Thanks.
#iTeachMath #MathsEdChat
Theorem of the Day (May 3, 2025) : Machin’s Formula
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Binomial/Machin/TotDMachin.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#170
»This is why, Prof. Wildberger says he "doesn't believe in irrational numbers."«
OK, this actually pretty bold.
Whilst possibly being a fruitful approach, as far as I see it, he hasn't come up yet with a method for effectively solving polynomials with a degree higher than five.
Or am I wrong?
Mathematician solves algebra's oldest problem using intriguing new number sequences. ~ University of New South Wales. https://phys.org/news/2025-05-mathematician-algebra-oldest-problem-intriguing.html #Math
Readings shared May 2, 2025. https://jaalonso.github.io/vestigium/posts/2025/05/02-readings_shared_05-02-25 #AI #ChatGPT #DeepSeek #ITP #IsabelleHOL #LLMs #LeanProver #Math #Python #Rocq
Oh wow this is so cool. Lines, angles, the Golden Ratio, right-angled triangles, irregular polyhedra, Platonic Solids - a story of friendship and survival.
Here's the question for May 3rd from the AMS Daily Epsilon of Math Calendar. For those unfamiliar with the calendar, the answer is always the day of the month. Looking for imaginative solutions is the aim.
3 mai 1860 : #CeJourLà naissance de Vito Volterra (†11/10/1940), mathématicien et physicien italien dont les travaux portent sur les équations diff., les équations intégrales, et la biomathématique. Il est l'un des créateurs de l'analyse fonctionnelle.
https://fr.wikipedia.org/wiki/Vito_Volterra
#mathématiques #maths #math
One day, one decomposition
A246371: Numbers n such that, if 2n-1 = Product_{k >= 1} (p_k)^(c_k) then n > Product_{k >= 1} (p_{k-1})^(c_k)
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A246371.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A246371.html
Usefulness is a function between time and an idea.