# #math

#Journal, Day 1105

Wednesday, 29 March 2023

#climatechange #shooting

#lqbtqsupporter #math #endhate #david #guncontrol

One day, one decomposition

A013917: a(n) is prime and sum of all primes <= a(n) is prime

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A013917.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A013917.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #primes #primenumbers #graph

I posted my 1/4 update for the year to gather the stuff I haven't blogged about. Code, bird pics, doodles, and more.

speed nerdlegame 435 solved in 2m 21s!

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🟩 🟪 ⬛️ Instant Nerdle 421 solved in 1m 3s!

nerdlegame 435 4/6

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binerdle 322 4&5/7

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mini nerdlegame 435 4/6

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mini binerdle 322 5&6/7

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micro nerdlegame 208 2/6

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#nerdle #nerdlegame #math #game #puzzle #fun #nerdle #miniNerdle #microNerdle #binerdle #mini #micro

Mathle 431 3/5

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mathlegame.com

#mathle #mathlegame #math #game #puzzle

Elusive ‘Einstein’ Solves a Longstanding #Math Problem - The New York Times

https://www.nytimes.com/2023/03/28/science/mathematics-tiling-einstein.html

hard mathler 421 3/6

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mathler 421 4/6

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easy mathler 421 4/6

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killer mathler 421 3/6

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#mathler #math #game #puzzle #hardMathler #hard #easyMathler #easy #KillerMathler #killer

Cantor's Paradise / Kasper Müller : 5 Famous Formulas For π

https://www.cantorsparadise.com/5-famous-formulas-for-%CF%80-df29273905bb

#mathematics #math #maths

I was just reviewing some linear algebra stuff. What an awesome discipline.

A few of my notes on change of basis are here: https://davidmeyer.github.io/qc/change_of_basis.pdf.

As always, questions/comments/corrections/* greatly appreciated.

So my JavaScript GeoGebra-like geometry library pretty much has all the features I wanted for now and can do quite a bit. Below is a quickly put together demo of how to construct in/outcircles on a triangle with interaction and conditional display. Currently working on clean-up and documentation. And a name... maybe Algeobra? ^^ Will also probably do some more small demos, it is kinda fun. Usually that stuff takes ages to get to look halfway presentable lol #javascript #math

Bellissimo!

La tessera “Einstein”: una forma capace di coprire una superficie infinita senza ripetersi mai.

#math

https://arxiv.org/pdf/2303.10798.pdf

"Toutes les mathématiques pures – arithmétique, analyse et géométrie – sont construites en combinant les idées primitives de la logique, et leurs propositions sont déduites des axiomes généraux de la logique [...]" – Bertrand Russell (1872-1970)

#citation #mathématiques #maths #math

"All pure mathematics – Arithmetic, Analysis, and Geometry – is built up by combinations of the primitive ideas of logic, and its propositions are deduced from the general axioms of logic [...]" – Bertrand Russell (1872-1970)

#quote #mathematics #math #maths

#Math: Explain it like I'm 5

https://github.com/EternityForest/AnyoneCanDoIt/blob/master/MathELI5.md

@AndriusKulikauskas

#Fermat has a point. The #Pythagoras trick uses a right angle triangle, a square relationship so the formula is basically taking a shortcut, the trick, therefore can only work squared.

The #math relationship (in rads) appears to be

a^sin(π/(2(n-1)) = b^n + c^n

or there about.

Happy birthday #mathematician Henri Poincaré

(1854-1912), here in my Cubist #linocut portrait.

This print is about how movements in art can be connected with contemporary #math & #physics. Specifically, the way #Cubism breaks from a single favoured perspective or absolute frame of reference & breaks down subjects into geometrical shapes from multiple points of view can be tied to advancements in non-Euclidian geometry in math & special relativity …

According to Bon Jovi's "Living on a Prayer," Gina and Tommy will make it and, in the chorus, they are half way there.

Then, when the chorus plays again, they are still half way there, that is, 3/4 of the way there. And so on.

This is called "Zeno's dichotomy paradox" and I am sorry to tell you that, no, they won't ever make it, unless they learn calculus.

One day, one decomposition

A013916: Numbers k such that the sum of the first k primes is prime

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A013916.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A013916.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #first #primes #primenumbers #graph

speed nerdlegame 434 solved in 2m 28s!

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🟩 🟪 ⬛️ Instant Nerdle 420 solved in 1m 55s!

nerdlegame 434 3/6

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binerdle 321 4&2/7

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mini nerdlegame 434 4/6

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mini binerdle 321 2&4/7

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micro nerdlegame 207 4/6

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#nerdle #nerdlegame #math #game #puzzle #fun #nerdle #miniNerdle #microNerdle #binerdle #mini #micro

Mathle 430 5/5

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mathlegame.com

#mathle #mathlegame #math #game #puzzle

Formalizing the proof of an intermediate-level algebra theorem — An experiment. ~ Antoine Chambert-Loir. https://arxiv.org/abs/2303.12404 #ITP #LeanProver #Math

ok ok ok ok I get that like no one is a maths person but OMFG A BRAND NEW DISCOVERY OF A TESSELLATING SHAPE THAT RESOLVES INTO NON-PATTERNS? https://gizmodo.com/new-13-sided-shape-the-hat-tiles-aperiodic-monotile-1850268575 #math #tessellation #discoveries

Youtube / Mathematical Visual Proofs : Alternating Geometric Series (visual proof)

https://www.youtube.com/watch?v=Qa0bOHYjnW0

#mathematics #math #maths #Youtube

Designing an inclusive and accessible mathematical learning environment based on a theorem prover. ~ Bernhard Stöger, Klaus Miesenberger, Walther Neuper, Makarius Wenzel, and Thomas Neumayr. https://static.miraheze.org/isacwiki/d/d0/IICHP-Paper.pdf #ITP #IsabelleHOL #Education #Math

"Every human activity, good or bad, except mathematics, must come to an end." – Paul Erdös (1913–1996)

#quote #mathematics #math #maths

"Toute activité humaine, bonne ou mauvaise, à l'exception des mathématiques, doit prendre fin." – Paul Erdös (1913–1996)

#citation #mathématiques #maths #math

@rticks All the #UltraMAGA cult members that I know ALSO want a #ConstitutionalConvention. That should tell you something. 👉 https://www.businessinsider.com/constitutional-convention-conservatives-republicans-constitution-supreme-court-2022-7?amp

Fortunately, we do NOT need one to flush ALL the extremist 💩 from Congress AND state legislatures! We only need to learn how to #PrimaryFromTheCenter !

Do the #MATH (Make America Think Harder) to #SaveAmerica !

The US House of Representatives needs to either grow or admit it is no longer even remotely representative.

MusikBlog präsentiert Model/Actriz

#Avantgarde #Industrial #Math-Rock #News #Noise-Pop

https://www.musikblog.de/2023/03/musikblog-praesentiert-model-actriz/

Student: I can't believe that sqrt(2) isn't rational. That's GOT to work somehow.

Me: 😍 now let me show you this beautiful proof...

Without googling, how many sticks of butter do you think you could stack in a box 1x1x1 ft? These are standard US sticks of butter, 4 in a lb.

Is there a complex matrix whose inverse is also its elementwise inverse?

OK fam, the Janitor is going to #rsac #rsac2023 to disrupt the entire ecosystem. Be there or be square. We have proprietary cryptography that beats RSA. Provably. #cryptography #ciso #cybersecurity #signals #intelligence #math

Send me a DM to connect. Over.

One day, one decomposition

A011775: Numbers k such that k divides phi(k) * sigma(k)

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011775.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011775.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #divides #phi #sigma #graph

Shower Theorem: To a zeroth approximation, the vernal equinox happens twice a year.

I keep seeing news articles claiming some high school students invented a #trigonometry proof of the Pythagorean Theorem. But for some reason, their paper isn't available online at the place it should be: https://meetings.ams.org/math/spring2023se/meetingapp.cgi/Paper/23621

I wonder also if they referenced this Jason Zimba proof from 2009: https://forumgeom.fau.edu/FG2009volume9/FG200925.pdf

Has anyone in the #math world have a copy of the paper?

Your grocery bag might not have been recycled

Though it should have been per laws included

But tricky math's a chore

Making content secure

And verifying recycled is confused

#recycling #plastic #math #limerick #poetry

https://undark.org/2023/03/20/your-recycled-grocery-bag-might-not-have-been-recycled/

I fixed a few issues in my recent cybersecurity math posts that I noticed while digging into the details. It didn’t affect the math because it was related to the method I don’t use - byte offsets. But because you have to understand those in some circles I updated the info. All the posts are at the bottom of this one.

https://medium.com/cloud-security/cybersecurity-math-34485d45c7d0

The largest number representable in 64 bits

https://googology.fandom.com/wiki/User_blog:JohnTromp/The_largest_number_representable_in_64_bits

Discussions: https://discu.eu/q/https://googology.fandom.com/wiki/User_blog:JohnTromp/The_largest_number_representable_in_64_bits

This #3blue1brown explainer on the Central Limit Theorem is so good it is almost painful #math #statistics

#MULCIA: Postdoctor in Type theory for mathematics and computer science, University of Gothenburg. https://bit.ly/3ZnxOZD #PostDoc #CompSci #Math

Is the fact that integration is hard but differentiation is easy (every closed-form function has a closed-form derivative, but not necessarily a closed-form integral) related to the fact that differentiation is hard but integration is easy (the class of integrable functions is much broader than the class of differentiable functions)?

"Dans les mathématiques, il ne s'agit pas de nombres, d'équations, de calculs ou d'algorithmes : il s'agit de comprendre." – William Thurston (1946-2012)

#citation #mathématiques #maths #math

"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding." – William Thurston (1946-2012)

#quote #mathematics #math #maths

Quanta: Emmy Murphy Is a Mathematician Who Finds Beauty in Flexibility

"When you came out, you chose the name Emmy, which instantly rings bells for mathematicians because of the famous early 20th-century algebraist Emmy Noether. Did you have her in mind?

So, yes, it is because of Emmy Noether. But at the time I chose the name, I was planning to leave #math. I was thinking about it as something that’s a reminder of what this previous life gave to me. She’s an inspirational figure, but a pretty obscure touchstone if you’re not in mathematics. If I’d known that I was going to stay as a #mathematician, I certainly would not have done that, because it’s pretty big shoes to fill."

#math #art Mathematicians have discovered a tile that never repeats

https://www.sciencenews.org/article/mathematicians-discovered-einstein-tile

@ben ⬆️

This is clearly a big problem, but one that can easily be solved by #MATH (Making Americans Think Harder).

Since only half of Republicans have forgotten how to be Americans, a small fraction of Independents and Democrats voting 🗳️ in Republican primaries would easily flush the 💩 out of Congress and state legislatures!

#PrimaryFromTheCenter , c’mon, it’s not rocket 🚀 surgery!

Post on monotile quilt is here (not very detailed)

https://fractalkitty.com/2023/03/27/a-quilt-to-celebrate-a-monotile/

How to Entertain with Your Pocket Calculator (1975) https://archive.org/details/htewypc | https://lobste.rs/s/ejdxse #historical #math

The largest number representable in 64 bits https://googology.fandom.com/wiki/User_blog:JohnTromp/The_largest_number_representable_in_64_bits | https://lobste.rs/s/xr2z5d #compsci #math

I figured out this whole #fediverse thing and picked an instance I like, so here goes an #introduction

I go by dianna, you can find me online using that name in a few places, depending on where you look

things that interest me

- #queer #lgbtq #trans spaces

- more of ‘em, please and thank you

- I really like queer clubs so you might see me dancing at one from time to time

- #software #programming #cs

- I write c++, c, rust, and python

- sorry gals, guys, and enby pals, I don’t do #ai or #ml, I just shitpost about jailbreaks and then freak over #aidontkilleveryoneism

- #endocrinology

- fucking hormones, don’t get me started

- but ask me about #hrt? I know too much

- #philosophy #math

- ???

things that bring me joy

- #coffee

- #books

- #plants

- #music

- very cute #gay #sapphic things

- unexpectedly intense conversations when you find someone with a shared interest

#Typst, the new #writing tool dubbed "an alternative to #LaTeX", was #OpenSource'd a couple of days ago.

@tarleb / @pandoc wrote a great article on it I recommend anyone interested read. Shoutout to @maegul for collab & #Pandoc

https://tarleb.com/posts/typst-musings

"The greatest value I see [in Typst] is in the #responsive #interactive, and even #collaborative #styling of #PDFs."

I love LaTeX but to lower the barrier and enable people to write #math/ #science/ #journalism is 👍

A geometric shape that does not repeat itself when tiled

'A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat itself when tiled'

@phonner @QuantaMagazine If you want to look at the "real" geometric connection, please look at Lill's Method.

The geometry is n dimensional.

My latest column for @QuantaMagazine is about a geometric idea that connects the (relatively simple) quadratic formula with the (relatively inscrutable!) cubic formula.

https://www.quantamagazine.org/the-symmetry-that-makes-solving-math-equations-easy-20230324/

#math

Mechanical mathematicians (A new generation of automatic theorem provers eliminate bugs in software and mathematics). ~ Alexander Bentkamp, Jasmin Blanchette, Visa Nummelin, Sophie Tourret, Petar Vukmirović, Uwe Waldmann. https://matryoshka-project.github.io/pubs/mechanical.pdf #ATP #ITP #Math

@MolnarSteven @Qdropped BOARDERS is 8 letters - STOLLEN is 7 letters - 8x7 is 64

Mandela made his ‘I am prepared to die’ speech in 1964 which means that Trump knows the deep state will fall for his trap by attempting to LOCK HIM UP (which we know is Crooked Hillary’s music)

Mandela + Trump = 12 letters

Hunter + Bidens + Laptop = 18 letters

Minus Laptop because where is it? = 12 letters

#thestormiscoming #redpill #math #checkmateatheists #Hashtag

(3.9995)^k

New maths formula answers long-standing party problem

#math #cominatorics #mathematics

https://www.nature.com/articles/d41586-023-00840-5

This is cool! Aperiodic tilings of the plane by *two* tile shapes (named for Roger Penrose, who studied them) have been known since the 1970s. I did my undergrad project on them in 2000. Now they've discovered aperiodic tilings by a *single* shape. 🤯

https://arxiv.org/abs/2303.10798

#math #mathematics #penrose #tiles #tiling

@mcnees bescheidener Hinweis in eigener Sache: „Noether's Theorem on a page.“ Das Noether-Theorem auf einer Seite: Diese sehr einseitige Darstellung des Noether-Theorems erfüllt die hohen Anforderungen, die an private Veröffentlichungen im Internet gestellt werden. Sie ist durch ein populärwissenschaftliches Buch über das wundervolle Theorem der Emmy Noether inspiriert, das in der Bibliothek jedes Gelehrten fehlen sollte. https://www.alm-paulusch.de/Noether_Theorem.pdf #math #formeldestages

Small examples involving binomial coefficients. ~ Lawrence C. Paulson (@LawrPaulson). https://lawrencecpaulson.github.io//2023/03/22/Binomial_Coeffs.html #ITP #IsabelleHOL #Math

Classical set theory: Theory of sets and classes. ~ Taras Banakh. https://arxiv.org/abs/2006.01613 #SetTheory #Math

“I have a hard time with sequences, patterns and spatial reasoning.

At school, my processing issues often left me deeply embarrassed.

During math lessons, I’d feel a kind of desperation as I tried to understand what was being taught before I got called on.

There was never enough time.”

#education #neurodivergent #math #attention #patternrecognition #learningloss

Practical Projective Geometric Algebra https://terathon.com/gdc23_lengyel.pdf | https://lobste.rs/s/fatxv5 #math #pdf

@remi Using this for multiple tags and users would turn #Mastodon into a #vectorspace (linear combination of different feeds) where you can dial in your exact position of interest. "I need to #mastoart a little to the left and #math a little more towards to Z axis"

So, there is this. #Dyscalculia. Are fellow #autistics / #ActuallyAutistics. I think this also falls under #Neurodivergent?

(Long)

I don't think I fall under this entirely, at least based on how it was described in this Wikipedia article.

However, I do have the following issues:

1. I'm very poor with mental computations, ever since.

2. It takes time for me to memorise a sequence of numbers, like a 6-digit phone number (I will more likely mix it up, or forget after a few hours or a few weeks).

Pi? I can only tell you, 3.1416, and when I checked online (just now), 3.1416 is rounded. LOL

3. I'm bad with measurements, distance, volumes. Ask me how long a meter, an inch, and so on, I have no idea. I can't visualise it unless I use a reference that I already measured before. Volume? Same thing. I need a reference, and of course, it only works if the container shape are similar.

For example, I know how far 5 km is if I use a reference that I know is 5 km apart. And that also depends on if it's in a direct line, or road-based measurement.

4. When I see a die, what I see is the shape of the dots, then I know which number landed. So, say, if most people can quickly identify 9 birds sitting on pole lines, I have to literally count it.

This is why I amaze, sometimes in doubt, whenever people give estimates on crowd attendance just by looking. It doesn't make any sense to me how they did it. And whenever I check the real count, their estimates are very close!

5. And because I'm bad with mental calculations and I mix numbers, I have to repeatedly do calculations to check if I got it right (and sometimes still get it wrong).

YET, I was good at mathematics during my school years.

* Grade 6. I was a sub-teacher for our class whenever our mathematics teacher is called for other school duties (since she had multiple roles other than a math teacher).

I actually talked to our teacher privately and declined, because I already know my limitations. But, our teacher saw something in me and knew I can do it. So, I did. AND, I learned to love math.

* 4th year High School. I enjoyed a friendly competition with my classmate in speed computations.

YET, I have low major exam scores. LOL. What's even funnier, our mathematics teacher told me to teach another classmate. Guess what? He scored higher than me in that same exam. (He took it late.)

My math teacher can't help but laugh. Haha. And me, dumbfounded. She also saw something in me, and knew I can teach math. Of course, I also learned why I'm always getting low scores in major math exams, but not in daily tests. It was the whole point, she asked me to teach math to my classmate for that same major exam.

* College course: B.S. Mathematics

Going back to the article, I'm good at:

a. Logic

b. Spatial reasoning

c. Time

This is interesting. LOL. I have no idea about Dyscalculia until today.

A progress report on formalization of measure theory with MathComp-analysis. ~ Yoshihiro Ishiguro & Reynald Affeldt. https://staff.aist.go.jp/reynald.affeldt/documents/measure-ppl2023.pdf #ITP #Coq #Math

I can't stop messing around with this new aperiodic tile that is the coolest new #math result I think I can remember in my lifetime. I love that it can be divided into the same 30-60-90 right #triangle over and over. or 4 tilings of that weirdly shaped pentagon each made up of 4 copies of the same triangle.

See original paper and other materials at

Ever wondered what a fake journal in #mathematics looks like? Follow me down the rabbit hole. I'll show you one that slipped on the slippery slope of #goldOA. #openScience #math #fakeJournal #openAccess. 👇🧵

If you like the numbers round in Countdown, you'll love https://c.eev.ee/digitle/ #math #games

@georgetakei ⬆️

We need to spare OURSELVES the hypocrisy of hyper-polarized elected politicians in a country where the vast majority of people are CENTRISTS!

We can DO that IF we learn how to #PrimaryFromTheCenter !

This ain’t rocket 🚀 surgery, it’s basic #MATH !

Hello folks, my name is Jesse, and I moved here from mastodon.lol since that server is closing in May and recently the its been very unusable. Let me give you guys a quick #introduction .

I am a Romanian American currently in my 3rd year of university. I am a #trans woman using she/her pronouns. I am currently studying #compsci and #math , and I have a separate account for the latter linked on my profile (which I hope to get more active in soon). I also play video games, especially strategy games like 4X games.

Looking forward to my stay here!

Cybersecurity Math

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CM.1 How you can use math to reconcile cybersecurity

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by Teri Radichel | Mar 16, 2023

#security #cybersecurity #math #reconciliation #learning #01001101011001011101000110100

https://medium.com/cloud-security/cybersecurity-math-34485d45c7d0

"Le symbolisme est utile parce qu'il rend les choses difficiles (ceci n'est pas vrai pour les parties avancées des mathématiques, mais seulement pour les débuts). Ce que nous voulons savoir, c'est ce qui peut être déduit de quoi. [...]" – Bertrand Russell (1872-1970)

#citation #mathématiques #maths #math

1001 base 12 = 1729, which is an entirely unremarkable number

Do you enjoy reading hard science fiction books? 🚀 👽 🧬 🧫 🔬 🦠 📚

#pleaseboost #polls #poll #question #sciencefiction #scifi #sff #scififan #scifibooks #hardscifi #hardsciencefiction #speculativefiction #books #reading #genre #subgenre #fandom #scifiseries #stem #science #tech #engineering #math #geek #geekdom #nerd #nerdom #authors #writers #writing #authorsofmastodon #writersofmastodon #writingcommunity #authorcommunity

SCI-FI FANS ONLY: Of the below ongoing, long-running sci-fi franchises, which do you most prefer?

#pleaseboost #polls #poll #question #sciencefiction #scifi #sff #scififan #scifitv #scifibooks #tv #tvseries #speculativefiction #film #movies #cinema #television #books #comics #manga #anime #graphicnovels #fandom #series #stem #science #tech #engineering #math #doctorwho #drwho #whovian #whoniverse #thedoctor #starwars #trek #startrek #trekkie #geek #geekdom #nerd #nerdom

Question for the #typography -minded people here: Why not put “z” with a line across the middle - or have “2” with a loop-d-loop instead?

I get that context makes it clear most of the time - except for those of us doing math on paper. I’m needing to decide so my Z’s and 2’s don’t look the same. Just curious about the typography as I consider this.

#engineering #font #handwriting #math #mathematics #science #text #typeface

I enjoyed taking a look at what a high school student made on bezier curves: https://justarandomblog.org/bezier_curves/

Sign up now for #TCEA's Scratch Computational Thinking online, self-paced course. This $39 course will assist you in using Scratch to support curricular, instructional learning goals.

Learn more or register at:

https://tcea.org/learn/courses/scratch/

#Scratch #Education #EdTech #edutooter #edutooters @edutooters @edtech #tcea #tceajmg @tcea #STEM #Math

#Development #Introductions

Trigonometric functions in CSS · Calculate the sine, cosine, tangent, and more in CSS https://ilo.im/11k7dw

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#WebDevelopment #WebDev #Frontend #CSS #Math #Calculation #Trigonometry

This site is hopelessly engrossing https://oeis.org/ #math #numbers #sequences

Due to high demand, the Mathnificent WoW (your Mathnificent Word of the Week) is on my site. It used to only be available within my subscriber weekly email, but I'm happy (meaning: thrilled) to comply w folks requests 😁 #math #maths #mathmastodon

https://katelovesmath.com/mathnificent-wow/

⃝👀 https://thekidshouldseethis.com/post/topology-a-1961-eames-film-for-ibms-mathematica-exhibit

#Topology is one of the five films made by Charles and Ray #Eames for the 1961 opening of IBM’s Mathematica: A World of Numbers… and Beyond exhibit at the California Museum of Science and Industry in Los Angeles.

#video #animation #math #1960s #geometry #shapes #circle #design #storytelling

Read - or listen to me read to yoooou - how nothing is more powerful than nothing. #humanizingmath

#math #maths

Zero Got Muscle

https://t.co/M2dbJbiCcj