#mathlife — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathlife, aggregated by home.social.
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🎰 Oh great, another self-help saga masquerading as a math lesson, wrapped in a pseudo-intellectual love letter to Vegas. Because clearly, the secret to life's decisions is hidden in a casino pit boss's notepad. 🃏🔍
https://farhadg.com/blog/escaping-odds/ #selfhelp #mathlife #vegasstories #casinosatire #HackerNews #ngated -
🎰 Oh great, another self-help saga masquerading as a math lesson, wrapped in a pseudo-intellectual love letter to Vegas. Because clearly, the secret to life's decisions is hidden in a casino pit boss's notepad. 🃏🔍
https://farhadg.com/blog/escaping-odds/ #selfhelp #mathlife #vegasstories #casinosatire #HackerNews #ngated -
USM is a single, systematic framework that unifies trigonometric, hyperbolic, and complex-exponential substitutions into one coherent method. No more hunting through a dozen separate “recipes” for different radicals or inverse-trig integrals—you rewrite x + b as e^(±i α) (or e^θ), track sign/branch choices algorithmically, and reduce everything to a rational (“polynomish”) integral in a new variable.
Why USM shines for ∫ e^(arccos(x)) dx:
• Transforms e^(arccos(x)) into simple powers of t = e^(–i arccos(x))
• Eliminates the usual integration-by-parts slog
• Integrates term-by-term in one shot, then back-substitutes for a crisp final form📄 Dive deeper! Check out my draft article “A Unified Substitution Method for Integration” for full proofs, more examples, and the USM’s broader scope (link in bio).
#UnifiedSubstitutionMethod #USM #Calculus #Integration #MathAnimation #Manim #MathHack #STEM #Education #InstaMath #LearnWithAnimation #MathLife #GarciaUSM #ReadTheDraft
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USM is a single, systematic framework that unifies trigonometric, hyperbolic, and complex-exponential substitutions into one coherent method. No more hunting through a dozen separate “recipes” for different radicals or inverse-trig integrals—you rewrite x + b as e^(±i α) (or e^θ), track sign/branch choices algorithmically, and reduce everything to a rational (“polynomish”) integral in a new variable.
Why USM shines for ∫ e^(arccos(x)) dx:
• Transforms e^(arccos(x)) into simple powers of t = e^(–i arccos(x))
• Eliminates the usual integration-by-parts slog
• Integrates term-by-term in one shot, then back-substitutes for a crisp final form📄 Dive deeper! Check out my draft article “A Unified Substitution Method for Integration” for full proofs, more examples, and the USM’s broader scope (link in bio).
#UnifiedSubstitutionMethod #USM #Calculus #Integration #MathAnimation #Manim #MathHack #STEM #Education #InstaMath #LearnWithAnimation #MathLife #GarciaUSM #ReadTheDraft
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USM is a single, systematic framework that unifies trigonometric, hyperbolic, and complex-exponential substitutions into one coherent method. No more hunting through a dozen separate “recipes” for different radicals or inverse-trig integrals—you rewrite x + b as e^(±i α) (or e^θ), track sign/branch choices algorithmically, and reduce everything to a rational (“polynomish”) integral in a new variable.
Why USM shines for ∫ e^(arccos(x)) dx:
• Transforms e^(arccos(x)) into simple powers of t = e^(–i arccos(x))
• Eliminates the usual integration-by-parts slog
• Integrates term-by-term in one shot, then back-substitutes for a crisp final form📄 Dive deeper! Check out my draft article “A Unified Substitution Method for Integration” for full proofs, more examples, and the USM’s broader scope (link in bio).
#UnifiedSubstitutionMethod #USM #Calculus #Integration #MathAnimation #Manim #MathHack #STEM #Education #InstaMath #LearnWithAnimation #MathLife #GarciaUSM #ReadTheDraft
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Hat jemand gute Empfehlung für Hintergrundmusik beim Arbeiten? Wird ein langer Abend...
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A note on the final digit of pi, and how we can know what it is. #mathlife https://jameshoward.us/2024/05/23/a-note-on-the-final-digit-of-pi
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For those of you telling jokes about the last digit of pi, here's something we know for sure: In binary, it is 1. #mathlife #piday2024 #piday
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Mathematics plays a critical role in legal decisions. #mathlife https://jameshoward.us/2023/11/05/how-math-influences-legal-decisions
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What is Stochastic Calculus? #MathLife https://jameshoward.us/2023/11/01/what-is-stochastic-calculus
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sometimes it is really useful to sweat out an analytical proof.
Sometimes running a couple quick numerical calcs is quite alright.
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Ever wonder how to measure something that's constantly changing, like speed or growth rates? Enter infinitesimals: quantities so small they're almost zero. These 'infinitely small' units are the building blocks of calculus, allowing us to analyze changes. 📏🔬
But their impact isn't limited to textbooks! From optimizing algorithms in computer science to modeling fluid flow in engineering, infinitesimals are crucial for solving real-world problems. 💻🌊
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The Medicis weren't just patrons of the Renaissance; they were master networkers. By marrying into key families and forming strategic alliances, they became a political powerhouse in Florence. 🏛️🎨
How do we know? Math! Network theory has been used to analyze historical records, revealing the Medicis' web of influence. 🕸️📜
This approach offers a quantitative way to understand power dynamics in history, showing us that math can illuminate the past! 🔍📚
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My Brunsviga 10 arrived. Can't wait to crank my way through a few differential equations. #mathlife
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Ever picked up a book and wondered why some words appear so much more often than others? This isn't coincidence; it's Zipf's Law! 📚📊
In many languages, the frequency of a word is inversely proportional to its rank. So the most common word appears twice as often as the second, three times as often as the third, and so on. 🗣️🔠
Why does this matter? Understanding these patterns helps in everything from natural language processing to linguistic anthropology. 🤖🌍
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Confession time. My favorite footwear this summer has been socks and sandals. So comfy!
I'm a father and have a PhD in Math, so I guess my transition to socks and sandals was inevitable.
