chrisoffner3d, to science

The real danger of AI comes when the incorrect AI answer sounds much more intuitive and reasonable than the correct answer.

#math #AI #chatGPT

paysmaths, to science French
@paysmaths@mathstodon.xyz avatar

Discovery about Book Embedding of Graphs - Numberphile
Source : Youtube / Numberphile

https://www.youtube.com/watch?v=qw2Pl_Nk3CA

merpderp, to science

how do you write down an irrational number? Like is that just not a thing or...

Are there just a bunch of numbers you can't write down? that seems impractically inconvenient

#math

Mnaudin, to science French

#énigme #puzzle #math #logique #logical
Ce problème a été donné à des enfants de 9 ans à Taïwan, mais, paraît-il, même des enseignants avaient eu du mal à le résoudre.
ABCDE x A = EEEEEE.
Chaque lettre est un chiffre différent. Résolvez cette équation et/ou soumettez la à votre enfant.
⚠️ Merci de répondre en mode CW et de partager pour plus de participants.

chemoelectric, to science
@chemoelectric@masto.ai avatar
amaditalks, to science
@amaditalks@wandering.shop avatar

I’ve decided that this is the year when I get over my fear of #math which is a silly thing to be afraid of, really, but I was done in by math teachers treating me like I was incapable because their teaching style (or lack thereof) didn’t work for me. So now I’m re-teaching it all to myself and doing my damndest to forgot those horrible men who intentionally made me doubt myself for their own entertainment.

(Many people with education degrees shouldn’t be within ten miles of kids.)

chemoelectric, to science
@chemoelectric@masto.ai avatar

Here is another #RosettaCode entry, in a dialect of Lisp that annoys me a whole lot, with compilers whose error messages make #ATS error messages look easy, but which I insist on using for these tasks, just the same:

Xiaolin Wu's line algorithm - Rosetta Code https://rosettacode.org/wiki/Xiaolin_Wu%27s_line_algorithm#Common_Lisp

I did some #math this time. It’s a catenary (the curve of a loosely hanging rope) made by drawing lines perpendicular to a tractrix. (The tractrix itself is not depicted.)

chemoelectric,
@chemoelectric@masto.ai avatar

Here is a similar program in #Fortran -- which to me is NOT annoying, as long as I am not trying anything really difficult:

https://rosettacode.org/wiki/Xiaolin_Wu's_line_algorithm#Fortran

#RosettaCode #math #GraphicsProgramming #ellipse #evolute

apodoxus, to science
@apodoxus@mastodon.online avatar

Why are we taught to do arithmetic from right to left on paper when it's easier to do it from left to right in our heads?

jimdonegan, to science
dmm, to science
@dmm@mathstodon.xyz avatar

Born #onthisday 117 years ago, Kurt Gödel was an Austrian mathematician and philosopher. Gödel discovered the “Incompleteness Theorem”, which essentially states that there will always be theorems in mathematics that are impossible to prove. Gödel''s discovery of the Incompleteness Theorems effectively drove a stake though the heart of Hilbert's Program [1] (or at least badly damaged it; see Hilbert's Second Problem [2]).

In 1949 Gödel demonstrated the existence of solutions to Einstein's field equations in General Relativity which involve "rotating universes" and featured closed timeline curves which allow for time travel to the past. Gödel's solutions are known as the Gödel metric and are an exact solution of the Einstein field equations [3].

Along with Aristotle, Alfred Tarski and Gottlob Frege, Gödel is considered to be one of the most significant logicians in history and had an immense effect upon scientific and philosophical thinking in the 20th century (and beyond).

Read more about Gödel's life and times here: https://mathshistory.st-andrews.ac.uk/Biographies/Godel/

#math #incompletenesstheorem

References

[1] "Hilbert’s Program", https://plato.stanford.edu/entries/hilbert-program/

[2] "Hilbert's second problem", https://en.wikipedia.org/wiki/Hilbert%27s_second_problem

[3] "THE GODEL SOLUTION TO THE EINSTEIN FIELD EQUATIONS", http://www.math.toronto.edu/~colliand/426/Papers/A_Monin.pdf

Incompleteness Theorem

futurebird, to science
@futurebird@sauropods.win avatar

ima gangsta
#mathsLife #math

peterdrake, to science
@peterdrake@qoto.org avatar

Bread in the #math student lounge.

hallasurvivor, to science

Someone on mse asked a cute question last night. I answered it, but had a kind of weird experience doing so, and I'm curious if other people will have a similar experience.

The #puzzle isn't so hard, so let me leave it here for a day so that people can have a chance to try it themselves. Then I'd love to use it to start a conversation about two approaches to problem solving in #math

Please post solutions as a reply to this, but put them in cw tags so that people can go spoiler-free if they want to! I'll @ everyone who replied when I post the followup sometime soon ^_^.


You and your friend play a game. Your friend gets to color each point on the unit circle either red or blue (she has very fine-tipped crayons) and you have to try and find 3 points on an equilateral triangle which get the same color.

You win if you can find such a triangle, and your friend wins if her coloring is able to stump you.

Can you always win? If not, how should your friend color the points to stop you from winning?

paco, to science

Any or nerds out there want to offer me an opinion? One of my security programmes that I run will be tracking time-to-decision (typically measured in calendar days). We do between 50 and 125 decisions in a year, so there are only 5-10 data points in a typical month. As you can imagine, with any sort of human approval process, there will be outliers where things will go very quickly ("no way in hell") and some that will go very slowly.

I want to report on time-to-decision and I want to blunt the impact of outliers on our statistics. If there's one decision that takes 6 months and the others take a couple weeks, I don't want the one outlier making us look bad. The math question:

I was gonna use a trimmed mean, but reading about Winsorised means is also interesting. I was assuming I'd use a trimmed mean excluding the bottom 5% and top 5% and then report an average of the remaining 90%.

Anybody have better ideas? Anybody with opinions on trimmed v winsorised means?

Mnaudin, to science French

#puzzle #math
Cette question a été posée par un enseignant à des élèves âgés de 8-9 ans. Vous pouvez la trouver bien challenging pour cet âge, et je serais d'accord avec vous.
Quel est le nombre manquant ? Quelle est la règle ?

  • Merci de répondre en mode CW (expliquez) et de partager pour plus de participants.
ccppurcell, to science
@ccppurcell@mathstodon.xyz avatar

I went to #mathsjam in London a few times back in 2014 (has it really been so long?) I guess it's how I found out about mathstodon really, through following @ColinTheMathmo and others. I've been thinking it would be nice to organise mathsjam here in Plzeň for a while but I was busy and a little nervous about it. I finally decided to go for it, next month will be the first Plzeň mathsjam! Wish me luck :) #math

ColinTheMathmo,
@ColinTheMathmo@mathstodon.xyz avatar

@ccppurcell Good Luck !!

Have you contacted Monthly #MathsJam Central? They have a sort of "Starter Pack", and there's all sorts of advice.

#math #Maths

linusable, to science French

#geometry #math #education

Shapely : #Python package for manipulation and analysis of planar geometric objects

Geometry : Point, LineString, Polygon(.exterior),...
Operations : intersection, union, difference,...
Logical Relationships : within, touches, disjoint,...
Measurements : Area, distance, length, bounds, minimum bounding circle,...
Predicates : has_z, is_closed, is_empty,...
...

Documentation V2.0.1 : https://shapely.readthedocs.io/en/stable/index.html

mmezabet, to science

MY HEAD IS EXPLODING!

https://www.popularmechanics.com/science/a32131826/ancient-multiplication-method/

I have always struggled with math (too many things to hold in my head at one time) and have had to rely a lot on just rote memorization, which... at best only gets you so far, and at worst is not a fun process.

PS Thanks to @WoollyWormhead for posting this on birdsite, where I found it.

geekysteven, to random
@geekysteven@beige.party avatar

average person creates 3 spam accounts a year" factoid actualy just statistical error. average person makes 0 spam accounts per year. Gambling Website Georg who lives in cave & creates over 10,000 spam accounts each day, is an outlier adn should not have been counted

gorfram,

@geekysteven @theropologist That’s a pretty good illustration of the difference between an average and a median.

#math
#statistics
#average
#median

ScienceDesk, to science
@ScienceDesk@flipboard.social avatar

A number system invented by Inuit schoolchildren in Alaska will make its Silicon Valley debut.

Scientific American reports that while math is called the “universal language,” a unique dialect is being reborn: https://www.scientificamerican.com/article/a-number-system-invented-by-inuit-schoolchildren-will-make-its-silicon-valley-debut/

#Math #Mathematics #Language

motomatters, to science
@motomatters@masto.ai avatar

Random programming / maths question:

I keep my accounts in , and when I start the year, I reset all the values to 0.

I have one cell which calculates a percentage. When I set all cells to 0, it throws a Divide By Zero error.

Is this correct? Surely the only number you can actually divide by zero is zero? Or is dividing zero by zero also mathematically/programmatically incorrect?

Mnaudin, to science French

#énigme #puzzle #logique #logic #math
Les enfants peuvent résoudre ce casse-tête en 5 minutes, mais les adultes prennent 60 minutes environ.
Trouvez le nombre manquant (voir Figure).

  • Répondez en mode CW, et indiquez le temps passé chronométré.⏱️
  • Merci de partager pour plus de joueurs.
itnewsbot, to science

Scientists Finally Solved the Mystery of How the Mayan Calendar Works - An anonymous reader quotes a report from Popular Mechanics: The Mayan calendar's 8... - https://science.slashdot.org/story/23/04/21/0010253/scientists-finally-solved-the-mystery-of-how-the-mayan-calendar-works?utm_source=rss1.0mainlinkanon&utm_medium=feed #math

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