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Jul 29, 2024 · Namely, if CH fails, then Freiling's axiom holds. To see this, suppose that CH fails. Fix any function f f from R R to countable sets of reals. Fix any set S S of ω1 ω 1 many distinct reals, and apply f f in all possible ways so as to close under the function.
3 days ago · It also depicts the crucial role of the Higgs boson in electroweak symmetry breaking, and shows how the properties of the various particles differ in the (high-energy) symmetric phase (top) and the (low-energy) broken-symmetry phase (bottom).
2 days ago · Symmetry describes when several parts of an object are identical, such that it's possible to flip, spin, and/or move the object without ultimately changing what it looks like. Symmetry is extremely powerful and beautiful problem-solving tool and it appears all over the place: in art, architecture, nature, and all fields of mathematics!
3 days ago · The symmetry groups of the Platonic solids are a special class of three-dimensional point groups known as polyhedral groups. The high degree of symmetry of the Platonic solids can be interpreted in a number of ways.
5 days ago · "Berkshire owned exactly 400,000,000 shares of Apple and 400,000,000 shares of Coca-Cola as of June 30, 2024," David Kass, ... the symmetry in his Apple shares has been too juicy to ignore, ...
3 days ago · For illustration, if a physical system behaves the same, regardless of how it is oriented in space, the physical laws that govern it are rotationally symmetric; from this symmetry, Noether's theorem shows the angular momentum of the system must be conserved.
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1 day ago · A unique name too: Dems enjoy ‘08 symmetry ... At the senior campaign consultant level are David Plouffe, who ran the Obama 2008 operation; Mitch Stewart, who orchestrated the 2008 Iowa caucus ...
