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  1. Is the Empty Set a Valid Vector Space? A Closer Look at the Ten Axioms ...

    Aug 3, 2005 · Participants assert that while the empty set is a subset of every set, it cannot satisfy the requirements of a vector space due to the absence of a zero vector, which serves as the additive …

  2. A Definition and Controversy of Energy - Physics Forums

    May 27, 2015 · This perfectly legitimate question seems to cause a lot of confusion. So what is energy and how do conversations about what it is go wrong?

  3. The 7 Basic Rules of Quantum Mechanics - Physics Forums

    May 11, 2019 · The following formulation in terms of 7 basic rules of quantum mechanics was agreed upon among the science advisors of Physics Forums.

  4. Learn Lie Algebras: A Walkthrough - The Basics - Physics Forums

    Jan 3, 2019 · This article is meant to provide a quick reference guide to Lie algebras: the terminology, important theorems, and a brief overview of the subject.

  5. Pressure Vessel Design: Understanding MAWP & Design ... - Physics …

    Aug 18, 2009 · Explore the differences between Section I and Section VIII vessel requirements Engineers, pressure vessel designers, and safety compliance professionals seeking to deepen their …

  6. Groups, The Path from a Simple Concept to Mysterious Results

    Feb 3, 2025 · An alternative and equivalent definition mimics the transition from non-zero integers to non-zero rational numbers. A group is a set with a binary, associative operation such that the …

  7. Introduction to the World of Algebras - Physics Forums

    Jul 8, 2023 · The exact definition via tangent spaces, i.e. vector fields requires a bit more care and technical precision. For their algebraic structure, however, we only need the equations above. I don’t …

  8. MAWP & Design Pressure: Understand the Difference - Physics Forums

    Jul 23, 2015 · Hi All, I have a question regarding the design of the pressure vessel. What is the Maximum allowable working pressure (MAWP)? What is the Design pressure? What are the …

  9. One of the key requirements of the stereo multiplex signal was to be backwards compatible with the large existing base of FM monophonic receivers. To accomplish this goal, the 0 to 15 kHz baseband …

  10. What are some real-life applications of overdamping in mechanical ...

    Jun 6, 2014 · This discussion highlights practical applications of overdamping in mechanical devices, specifically focusing on handicap-access door closer mechanisms, push-button water faucet shut-off …