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I just published Factorials vs Exponentials : Key Insight
2^(100!) vs (2^100)!
They look similar.
They’re not even close.
Here’s why :
medium.com/think-art/fact…
#Mathematics #MathTwitter #STEM
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Born today in 1913, Paul Erdős didn't learn to butter his own bread until he was 20. No home, no possessions. Just a suitcase and a restless mind. He'd knock on a colleague's door, say "my brain is open," and solve something beautiful together. #March26 #OnThisDay #MathTwitter
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No odds.
Pi-Law OPN (USPTO #19/548,900)
J = E + λS | Lehmer floor = 137
Result:
σ(n)/n ≠ 2 ∀ odd n
7/7 families eliminated.
Squarefree odd n → constrained (φ/n in P4 window).
#NumberTheory #Mathematics #MathTwitter #PerfectNumbers #PiLaw #Governor
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Most students panic at ∫ x²·eˣ dx 😅
The secret? Integration by Parts — applied twice using the LIATE rule.
Result: eˣ(x² - 2x + 2) + C ✅
Once you see the pattern, you can't unsee it ��
#Calculus #MathTwitter #STEMed #LearnMataN
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Most people don't hate math. They hate the feeling of being lost while everyone pretends it's obvious. #MathEducation #MathTwitter #LearnMath
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Ever heard of the Aizawa Attractor? This chaotic beauty (Lorenz family) dances via:
dx/dt = (z - b)x - dy
dy/dt = dx + (z - b)y
dz/dt = c + az - z³/3 - x² + f z x³
Mind-bending math art! 🌀 #ChaosTheory #MathTwitter #Attractor
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I have derived an alternative identity for summing radicals with a common radicand. This method uses the squared difference of coefficients as a corrective term to construct a perfect square within the radical.
#Mathematics #Algebra #MathTwitter #Discovery
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Which number is larger: (e^\pi) or (\pi^e)?
At first glance the comparison looks perfectly balanced.
But a small inequality quietly decides the winner.
Read the explanation here:
medium.com/think-art/a-su…
#Mathematics #Math #MathTwitter
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Building on Bombieri-Lagarias (1999), we unified Li and Weil into one exact identity:
λ_n = Q(f_n) - f̂_n(0) - f̂_n(1)
They aren't separate problems. They are the same Information Heat budget evaluated through different lenses. 3/5 #MathTwitter
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To resolve this obstruction, an algorithm must cross shattered state spaces. The Spectral Cheeger bound for Heat proves the bottleneck (Φ_H) is exponentially small. Thus, the thermodynamic length (L_th) required to find truth scales exponentially. 2/5 #MathTwitter
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I just published Why √i Equals (1+i)/√2
A beautiful complex number result:
Why?
Because complex multiplication is rotation.
45° × 2 = 90° → which gives (i).
Full explanation 👇
medium.com/think-art/why-…Q
#MathTwitter #Mathematics #ComplexNumbers
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🔥 BIG ANNOUNCEMENT 🔥
First video dropping soon on
CODING – DECODING (One Shot) 🧠
Complete concepts + Tricks + PYQs
Perfect for SSC | RRB | All Competitive Exams
Stay tuned 👀
#PANACADEMY
#MathTwitter, #Physics, #teacher
#Students
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