Terrence Tao got bored and did Liquid Tensor (Was: How much of 700g brain does Calculus need)

Hi,
 Q: How much of 700g brain does Calculus need?
 A: Prefrontal cortex, parietal lobe, and others take
    up 30–50% of total brain volume during heavy
    cognitive tasks. If we allocate these to calculus
    specifically during focused problem-solving, that’s
    roughly 200–350g of active brain matter.
 Q: Its basically only one rule , the chain rule for differentiation
 A: Yes, mastering the chain rule is like holding the master key
 Q: How much brain is needed to hold this master key?
 A: Understanding the chain rule relies on recognizing patterns,
    far less than tasks like language or multi-tasking. During f
    ocused thinking, these areas together might use ~5–10% of
    the brain’s metabolic resources. If we assign 10% of your brain
    (~70g of your 700g brain) to calculus, the chain rule might
    need about 5–10g to grasp and apply consistently.
 Bye
 sobriquet schrieb:

Op 14/12/2024 om 15:30 schreef Yumpfeur:

Interesting, he just made a video about this. He must have read this
thread
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https://youtube.com/watch?v=c28D1sBDgOQ
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Speaking of calculus, there is an interesting new course on yt about calculus from a historical perspective.
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https://www.youtube.com/playlist?list=PLLK7o1ZS1kf_CbV3yL3u_28Ex_onmmZky