I love to learn. Food enthusiast, movie lover etc
Jersey City, NJ
Joined May 2020
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smactatus retweeted
Here's a nice "proof without words":
The sum of the squares of several positive values can never be bigger than the square of their sum.
This picture helps make sense of how ℓ₁ and ℓ₂ norms regularize and sparsify solutions (resp.). [1/n]
"The associative law is more fundamental than the commutative law, and one reason for this is that composition of functions is associative"
- Michael Artin, Algebra
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smactatus retweeted
Are you a GEB (Gödel, Escher, Bach) lover? Read this! You’d have butterflies in your gut.
phys.org/news/2025-02-hofsta…
Imagine taking over Greenland only to find out it's not as big as you thought
#(merca)torprojection
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smactatus retweeted
Fun visualization: take 10x10 random matrix and visualize eigenvalue trajectories you get by rotating this matrix by theta in 0..2 Pi in some fixed direction. Now vary this direction smoothly
smactatus retweeted
Just realized Yul Vazquez was the guy who played Reuben in The Sopranos also played Bob in Seinfeld
smactatus retweeted
"Duality" is a deep concept in mathematics, but an intuitive way to think about it is in terms of tables.
When we lay out data in a table, we are familiar with the idea that each row represents a different "entity", and each column represents a different "property". (1/10)
smactatus retweeted
Hamlet (2000) directed by Michael Almereyada shot the “to be or not to be” soliloquy in a Blockbuster video store with 3 movies playing in the background - symbolism for the play of Hamlet. These movies are The Crow: City of Angels (1996), Speed (1994), and True Romance (1993)
smactatus retweeted
Samuel Beckett won the Nobel prize for literature in 1969. Unsettled by the idea that the award would lead to a spike in interest in his personal life and endanger his privacy, Beckett agreed to just one television interview on the matter [for Swedish TV] with the stipulation >>
smactatus retweeted
since high dimensions are all the hype now, what is your favorite and most counter-intuitive high-dim phenomenon? this is still my favorite one:
