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  1. Derivative of the Volume of a Cone - Physics Forums

    Nov 25, 2007 · The discussion centers on finding the derivative of the volume of a cone, represented by the formula V = (1/3)πr²h. Participants clarify that to compute the derivative, one must identify the …

  2. ChatGPT Examples, Good and Bad | Page 16 • Physics Forums

    3 days ago · This discussion focuses on the performance of ChatGPT in solving mathematical problems and understanding complex concepts. Users report mixed results, with ChatGPT accurately solving …

  3. Hopf fibration of 3-sphere | Page 2 • Physics Forums

    Jan 12, 2026 · The Hopf fibration of the 3-sphere consists of fibers that are circles, which do not intersect and collectively form the 3-sphere. The 3-sphere can be represented as the locus of …

  4. Consistency of Relativistic QM - Physics Forums

    Oct 25, 2025 · Hi All While going through my book on QFT for mathematicians (What Is a Quantum Field Theory? by Michel Talagrand) I came across the following: 'Quantum Mechanics, in its standard …

  5. Difficulty understanding the reasoning behind constraint equations in ...

    Jan 13, 2026 · I’m not looking for the final equations themselves, but rather an explanation of the physical and geometric ideas used to construct constraint equations in systems involving strings and …

  6. All Your Favorites in One Place | Page 3 - Physics Forums

    May 4, 2023 · This discussion centers on the art of mashups in music, highlighting notable examples and the creative process behind them. Participants mention various artists such as Michael …

  7. Electric Fields inside Conductors & Gauss' Law - Physics Forums

    Jan 12, 2026 · Gauss' Law doesn't say that - it says The integral is important because Gauss is making a statement about the flux through a closed surface, not just some random non-closed surface. …

  8. What is the charge on carbonate ion • Physics Forums

    May 6, 2009 · The carbonate ion (CO3^2-) is a polyatomic anion consisting of one carbon atom and three oxygen atoms, carrying a total charge of -2 due to the presence of two additional electrons …

  9. When did Mitochondria Evolve? - Physics Forums

    Feb 8, 2016 · Historically, life is categorized into three broad domains: bacteria, archaea, and eukaryota. Whereas bacteria and archaea are almost all relatively simple, single-celled microorganisms, …

  10. How does multiplication with 2's complement work? - Physics Forums

    Jan 23, 2023 · I recently learned of a multiplication method of signed numbers using 2's complement. Here is the answer. What I want to know is how does this multiplication work? I understand that two's …