How a 17th-century math troll kept the world busy for 358 years?
Iβve always been fascinated by number theory β and one theorem that stole my heart (and everyone's patience) was "Fermatβs Last Theorem".
Quick refresher:
π Fermat claimed that there are no positive integers a, b, and c that satisfy:
a^n + b^n = c^n
for any n > 2 .
He even wrote, "I have a truly marvelous proof of this proposition, but this margin is too small to contain it."
(The ultimate flex.)
Fast forward 358 yearsβ it took the legendary Andrew Wiles, hiding in his attic for years, to finally prove it in 1994. A proof so intricate that it combined deep modern mathematics (like elliptic curves and modular forms).
π» Recently, I challenged myself to implement Fermat's Last Theorem computationally:
- I checked small cases manually (no luck β Fermat was right!).
- Then visualized how cn grows way faster than a^n + b^n or a^n - b^n β intuitively showing why no integer solution sneaks in.
Here's the implementation: https://github.com/benasphy/Mathematics/blob/main/Fermat's_Last_Theorem.ipynb
Moral of the story?
Sometimes, even the tiniest scribble in the margin can spark centuries of obsession, genius, and breakthroughs.
#NumberTheory #Mathematics #CodingFun #FermatsLastTheorem #CuriosityNeverDies
Iβve always been fascinated by number theory β and one theorem that stole my heart (and everyone's patience) was "Fermatβs Last Theorem".
Quick refresher:
π Fermat claimed that there are no positive integers a, b, and c that satisfy:
a^n + b^n = c^n
for any n > 2 .
He even wrote, "I have a truly marvelous proof of this proposition, but this margin is too small to contain it."
(The ultimate flex.)
Fast forward 358 yearsβ it took the legendary Andrew Wiles, hiding in his attic for years, to finally prove it in 1994. A proof so intricate that it combined deep modern mathematics (like elliptic curves and modular forms).
π» Recently, I challenged myself to implement Fermat's Last Theorem computationally:
- I checked small cases manually (no luck β Fermat was right!).
- Then visualized how cn grows way faster than a^n + b^n or a^n - b^n β intuitively showing why no integer solution sneaks in.
Here's the implementation: https://github.com/benasphy/Mathematics/blob/main/Fermat's_Last_Theorem.ipynb
Moral of the story?
Sometimes, even the tiniest scribble in the margin can spark centuries of obsession, genius, and breakthroughs.
#NumberTheory #Mathematics #CodingFun #FermatsLastTheorem #CuriosityNeverDies
GitHub
Mathematics/Fermat's_Last_Theorem.ipynb at main Β· benasphy/Mathematics
Contribute to benasphy/Mathematics development by creating an account on GitHub.
π10
βοΈππ€Master ML with 30 Projectsπͺ
After months of refining, Iβm finally sharing 30+ hands-on Machine Learning projects β clean, practical, and designed to help you understand and master ML, not just learn it.
Tired of tutorials that just show you how to predict house prices for the 100th time? π π Same here. Thatβs why I built these projects to actually make sense β helping you learn the real stuff, from classic algorithms to applied ideas you can use, tweak, and build on.
GitHub Repo: https://github.com/benasphy/ML_projects π»
Live Demo: https://mlprojects-algorithmslist.streamlit.app π
β¨Don't forget to Star and fork it!!
Explore, Star, fork, learn β and if you want to connect, collab, or just nerd out over ML:
TG: @benasphy π¬
Letβs build smarter, together!
#MachineLearning #MLProjects #GitHub #AI #LearningByBuilding
After months of refining, Iβm finally sharing 30+ hands-on Machine Learning projects β clean, practical, and designed to help you understand and master ML, not just learn it.
Tired of tutorials that just show you how to predict house prices for the 100th time? π π Same here. Thatβs why I built these projects to actually make sense β helping you learn the real stuff, from classic algorithms to applied ideas you can use, tweak, and build on.
GitHub Repo: https://github.com/benasphy/ML_projects π»
Live Demo: https://mlprojects-algorithmslist.streamlit.app π
β¨Don't forget to Star and fork it!!
Explore, Star, fork, learn β and if you want to connect, collab, or just nerd out over ML:
TG: @benasphy π¬
Letβs build smarter, together!
#MachineLearning #MLProjects #GitHub #AI #LearningByBuilding
GitHub
GitHub - benasphy/ML_projects
Contribute to benasphy/ML_projects development by creating an account on GitHub.
π₯9π2
BeNN
βοΈππ€Master ML with 30 Projectsπͺ After months of refining, Iβm finally sharing 30+ hands-on Machine Learning projects β clean, practical, and designed to help you understand and master ML, not just learn it. Tired of tutorials that just show you howβ¦
I'll post a details into those ML algorithms and stay tuned!
π₯9
For anyone interested in ML and wanna do a lot in it, but got confused. Here's my advice
The advice for ML is (because once u master ML, the rest of the concepts in AI will get simpler to understand):
π° Honestly, from the mistakes I made and learnt: at first, understand that it will take you time and also needs consistency. Don't rush to finish it in 6 months or less. Just give at least 3 hours a day and do the iteration for a year β then you can master it because it has mathematics and deep concepts. Otherwise, you will suffer from imposter syndrome.
π° Then I honestly don't recommend watching those YouTube full tutorial videos after the first time you saw them. Use I.am.ai website to get every step of the roadmap, and then use websites like Analytics Vidhya and Medium to understand the whole thing. After that, you can use ChatGPT and videos like Andrew Ngβs to understand it better.
π° Concepts + maths + code should be the way you study ML algorithms. Regarding math, you better have some knowledge of Linear Algebra and Calculus β sometimes Calculus II concepts, like in partial derivatives during gradient descent.
π° For the coding part, it's better if you know Python and libraries like NumPy, Matplotlib, Pandas β most of all, Scikit-learn and Seaborn for ML. Then u can learn TensorFlow, PyTorch, Theano, and stuff in DL.
π° At the end, lemme leave you with Naval's quote:
"To learn new things, it's not 10,000 repetitions, it's 10,000 iterations."
You gotta be like neural nets β using backpropagation, learning from your mistakes, and keep going on.
π° Honestly, from the mistakes I made and learnt: at first, understand that it will take you time and also needs consistency. Don't rush to finish it in 6 months or less. Just give at least 3 hours a day and do the iteration for a year β then you can master it because it has mathematics and deep concepts. Otherwise, you will suffer from imposter syndrome.
π° Then I honestly don't recommend watching those YouTube full tutorial videos after the first time you saw them. Use I.am.ai website to get every step of the roadmap, and then use websites like Analytics Vidhya and Medium to understand the whole thing. After that, you can use ChatGPT and videos like Andrew Ngβs to understand it better.
π° Concepts + maths + code should be the way you study ML algorithms. Regarding math, you better have some knowledge of Linear Algebra and Calculus β sometimes Calculus II concepts, like in partial derivatives during gradient descent.
π° For the coding part, it's better if you know Python and libraries like NumPy, Matplotlib, Pandas β most of all, Scikit-learn and Seaborn for ML. Then u can learn TensorFlow, PyTorch, Theano, and stuff in DL.
π° At the end, lemme leave you with Naval's quote:
"To learn new things, it's not 10,000 repetitions, it's 10,000 iterations."
You gotta be like neural nets β using backpropagation, learning from your mistakes, and keep going on.
β€11π2π1
BeNN
βοΈππ€Master ML with 30 Projectsπͺ After months of refining, Iβm finally sharing 30+ hands-on Machine Learning projects β clean, practical, and designed to help you understand and master ML, not just learn it. Tired of tutorials that just show you howβ¦
And if you think this repo could help you out, use it. Don't forget to Star it π
π7
Tomorrow, I will post about linear regression and I will try my best to explain as simple as possible.
π4
For Today lemme leave you with Naval's quote
"Desire is a contract with yourself to be happy until you get what you want"
"Desire is a contract with yourself to be happy until you get what you want"
β‘8π1π₯1
As you all know, it's quite difficult to write mathematical formulas on Telegram. So, I used Google Docs to explain everything in detail. I did my best to cover most of the essential concepts in linear regression.
For todayβs post, Iβve focused mainly on the core concepts and mathematical foundation. In the next update, Iβll dive into visualizations, code implementations, and some real-world use cases to make it even more intuitive.
For todayβs post, Iβve focused mainly on the core concepts and mathematical foundation. In the next update, Iβll dive into visualizations, code implementations, and some real-world use cases to make it even more intuitive.
π5β€1
New Drop: 25+ Data Science Projects!
πβ‘
Over the past few months, Iβve been diving deep into both Machine Learning and Data Science.
Alongside the 30+ ML projects I shared earlier, Iβve just released 25+ clean, practical Data Science projects β from EDA to real-world case studies.
GitHub: https://github.com/benasphy/Data_Science_Projects
Live Demo: https://datascienceprojects-lists.streamlit.app
β¨Don't forget to Star and fork it!!
If you want to connect, collab, or just nerd out over ML, Data Science and stuff:
TG: @benasphy π¬
πβ‘
Over the past few months, Iβve been diving deep into both Machine Learning and Data Science.
Alongside the 30+ ML projects I shared earlier, Iβve just released 25+ clean, practical Data Science projects β from EDA to real-world case studies.
GitHub: https://github.com/benasphy/Data_Science_Projects
Live Demo: https://datascienceprojects-lists.streamlit.app
β¨Don't forget to Star and fork it!!
If you want to connect, collab, or just nerd out over ML, Data Science and stuff:
TG: @benasphy π¬
GitHub
GitHub - benasphy/Data_Science_Projects
Contribute to benasphy/Data_Science_Projects development by creating an account on GitHub.
π5β€1β‘1
Forwarded from AI Post β Artificial Intelligence
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Congrats Liverpool fans ππππ₯π₯π₯ππ
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