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Deriving the Reactance Formulas - If you’ve dealt with reactance, you surely know the two equations for computing in... - https://hackaday.com/2025/04/28/deriving-the-reactance-formulas/ #radianfrequency #mischacks #reactance #calculus #math
Hackaday · Deriving The Reactance FormulasIf you’ve dealt with reactance, you surely know the two equations for computing inductive and capacitive reactance. But unless you’ve really dug into it, you may only know the formula t…
Mathematical Analysis For School Students by Lev Pontryagin
A book for school students, and not only for them!
Released under Creative Commons by Share Alike 4.0
#mathematics #books #soviet #calculus #integration #highschool #oer
https://archive.org/details/lev-pontryagin-mathematical-analysis-for-school-students-mir-titles-2025
Today I accidentally learned that limacons are inversions of conic sections!
GIF
A few weeks back I was complaining about this meme and we had a good discussion about it on here. I ended up making a lesson plan about taxes and my students really liked it so I will share it. (It is for students with a basic understanding of integration. But, you could probably rework it to skip that bit.)
https://drive.google.com/file/d/14xaQ1hMpqy0A68MAbxN49zK4HxK8m2R6/view?usp=sharing
(And if you have feedback let me know!)
I drew the said curve, y=x², starting with x= -32 , ending with x=0, with this ingenious toy:
www.matheretter.de/rechner/gfplot
#Februarty2025, day 8, #puzzle: There is a #square 32*32=1024 and a #parabola. Find the area under the under the curve #calculus #antiderivative
RE: https://bsky.app/profile/did:plc:omyr27fmzj3phbagch4sqyub/post/3lhoq76ar322q
Plotter für Polynomfunktionen ...
www.matheretter.dePlotter für Polynomfunktionen - MatheretterPlotter für Polynomfunktionen inklusive Nullstellenberechnung im Reellen und Komplexen. Im Funktionsplotter sind beliebige Eingaben möglich.
A beautiful curve y=x² interval [-32;0] Higher boundary minus lower boundary: 0--32=32 #puzzle = #antiderivative = area under the curve =0³/3--1³/3= 1/3=341+1/3 square units of 1024=32² 1x² = 1/3 of half the boundaries of the cube x³ 6/2=3squares x² #sharingisthenewlearning #parabola #calculus
**The Jagged, Monstrous Function That Broke Calculus**
Solomon Adams
_“Weierstrass discovered a function that, according to Ampère’s proof, should have been impossible: It was continuous everywhere yet differentiable nowhere.”_
https://www.quantamagazine.org/the-jagged-monstrous-function-that-broke-calculus-20250123/.
Quanta Magazine · The Jagged, Monstrous Function That Broke Calculus
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university. Her accomplishments were tremendous in her short but astonishing life.⠀
Born Sofia Korvin-Krukovskaya, in Moscow, she attributed her early aptitude for #calculus to a shortage of wallpaper, which lead her father to have the nursery papered with his old differential and integral analysis notes. Her parents nurtured her early interest in #math, and hired her a tutor. The local priest’s son introduced her to #nihilism. So both her bent for revolutionary politics and passion for math 
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Mechanical Calculator Finds Derivitives - We like mechanical calculators like slide rules, but we have to admit that we had ... - https://hackaday.com/2025/01/06/mechanical-calculator-finds-derivitives/ #derivimeter #derivitive #mischacks #sliderule #calculus
Hackaday · Mechanical Calculator Finds DerivitivesWe like mechanical calculators like slide rules, but we have to admit that we had not heard of the Ott Derivimeter that [Chris Staecker] shows us in a recent video. As the name implies, the derivim…
If you've done some #datascience but never really learned or truly understood #calculus, you might find this analogy of interest...
Integration is just split-apply-combine.
Suppose you want to find out the average wealth of people in some state... You could take the data you have, break it up by zip code, calculate the local average wealth estimate, multiply by the number of people in the zip code, and add it all up. Then divide by the total number of people in all the zip codes.
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Anyway, here it for anyone who might be interested for education purposes.
#Calculus #FirstDerivative #Mathematics #Differentiation #CCBYSA (2/2
One of the many classes I teach is a calculus course for 12th year high school students. Since their peers are taking Calculus II and Linear Algebra and beyond they regard themselves as “the slow class” which is ridiculous. Most people don’t take calculus until college, if they ever encounter it at all. But young people compare themselves to their peers— 1/
Happy 399th Birthday: The Integration
Sign:
The manuscript page on the cover shows the moment
that Leibniz introduced the integral sign ∫.
It is from one of several memoranda he wrote to himself during his remarkable stay in Paris during the years 1672–1676.
These were discovered in Hannover and transcribed by Carl Immanuel Gerhardt in the mid-nineteenth century.
The particular one at hand is dated October 29, 1675.
Ukraine Daily Summary - Saturday, October 26 2024
Satellite images show expansion at Soviet-era bio-weapons lab (biological weapons research) in Russia -- Elon Musk has been in contact with Putin, Russian officials since 2022, WSJ reports -- How Russia attempted to steal Moldovan election, referendum, and what comes next -- Russian drone hits apartment building in Kyiv, killing several -- and more
writeworks.ukUkraine Daily Summary - Saturday, October 26 2024Satellite images show expansion at Soviet-era bio-weapons lab (biological weapons research) in Russia -- Elon Musk has been in contact with Putin, Russian officials since 2022, WSJ reports -- How Russia attempted to steal Moldovan election, referendum, and what comes next -- Russian drone hits apartment building in Kyiv, killing several -- and more
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#Democratic #Presidential #Nominee #KamalaHarris’s #Taste in #Beer Is #TurningHeads.
Whether it was a #shrewd bit of #political #calculus or a #genuine #expression of #personal #preference, #VicePresident Harris’s choice of beer has clearly captured the #attention of the #news #media.
https://www.gearpatrol.com/drinks/kamala-harris-taste-in-beer-is-turning-heads/
Gear Patrol · Kamala Harris’s Taste in Beer Is Turning Heads | Gear PatrolWhether it was a shrewd bit of political calculus or a genuine expression of personal tastes, Vice President Kamala Harris's taste in beer has clearly captured the attention of the news media.
Dear students: Just because your argument shows that
\[ | a - b | < 2 \epsilon \]
It doesn't mean it's false that
\[ |a-b| < \epsilon \]
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