Explore tweets tagged as #Integrals
study calculus. seriously. not because it’s “academic” but because it rewires how you see the world. • limits → teach you how things behave at the edge • derivatives → measure change, motion, growth • integrals → accumulation, area, total effect • differential equations
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The Sophomore's Dream is the pair of identities famous for connecting the continuous world of integrals to the discrete world of infinite series in a perfectly mirrored way, discovered in 1697 by Johann Bernoulli.
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study calculus. it’s not just math. it’s how you understand change. what it gives you: • derivatives → how fast things change. velocity, growth, gradients. • integrals → how things accumulate. area, energy, total effect. • limits → what happens at the edge. where
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Here is a visual cheat sheet breaking down 6 essential types of integrals you’ll encounter: 1️⃣ Single variable (Riemann sum area) 2️⃣ Line integral (integrating along a path) 3️⃣ Lebesgue integral (advanced measure theory) 4️⃣ Double integral (volume under a surface) 5️⃣ Flux
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Stefan Banach was born exactly 134 years ago today 🎉 A self-taught prodigy, he was "discovered" by a professor who overheard him discussing Lebesgue integrals in a Kraków park. Here’s a cool instance of the Banach fixed-point theorem.
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Mastering integration is the key to cracking your dream exams! 🚀 Whether you're gearing up for IIT JEE, NDA, or CUET, this ultimate integration cheat sheet has got your back. 📊 From basic indefinite integrals to tricky inverse trigonometric and exponential functions, keeping
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The paradox of derivatives and integrals https://t.co/bMRnEneGLl
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@DanielleFong That’s just the first phase. Next they’ll start selling the integrals.
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Derivatives & Integrals: Learn Calculus with the best online courses: Intro (The University of Sydney) https://t.co/LVNbBITKvA Single Variable Calculus @Pennhttps://www.classcentral.com/c/5066 Multivariable Calculus @MIT
https://t.co/XYHOsAnZDZ More:
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ลำดับการแก้ปัญหาทั้งหมด ขั้นแรกแก้อินทิกรัล (4.154) ก่อนเพื่อให้ได้ θ(t) จากนั้นนำ θ(t) ไปแทนใน (4.150) แล้ว integrate เพื่อให้ได้ φ(t) และสุดท้ายนำทุกอย่างไปแทนใน (4.149) แล้ว integrate อีกครั้งเพื่อให้ได้ ψ(t) เป็นอันเสร็จสิ้น แต่ทุกขั้นตอนล้วนต้องพึ่ง Elliptic Integrals
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Noether symmetry groups, locally conserved integrals, and dynamical symmetries in classical mechanics Stephen C. Anco https://t.co/NXC4NrkAVt [𝚖𝚊𝚝𝚑-𝚙𝚑 𝚖𝚊𝚝𝚑.𝙳𝚂 𝚖𝚊𝚝𝚑.𝙼𝙿]
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Why do Russians treat Mathematics like a combat sport? 😄 With them everything is never casual. Either you play hard, or you go home. One of the most useful reference textbooks I used during my research is Table of Integrals, Series, and Products by Izrail Solomonovich
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Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence https://t.co/lqcwV7FZn3 Daichi Ide, Katsushi Ito, Wataru Kono. https://t.co/v0xKD1h0Gp
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Humans are architecturally incapable of doing calculus. I know this because I just asked a bunch of 5 year olds to solve some integrals and they all got them wrong.
>AI can't do math >Look inside >Strongest model they tested was GPT-4o-mini Get this slop out of here. The models tested are so inferior to current SOTA models that the findings are completely irrelevant to the current AI landscape.
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@BizzaroPlanet @EricRWeinstein The issue isn't necessarily doing math. There are issues with calculable only problems though. The subset of integrals that can be perfectly solved algebraically is finite, but the number of possible integrals is infinite. Thankfully in Physics most integrals are part of the
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