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In geometry, Prince Rupert's cube is the largest cube that can pass through a hole cut through a unit cube without splitting it into separate pieces. Its side length is approximately 1.06, 6% larger than the side length 1 of the unit cube through which it passes.
It thus improved upon the previous record-holding prime, 6,700,417, also discovered by Euler, forty years earlier. The number 2,147,483,647 remained the largest known prime until 1867. [4] In computing, this number is the largest value that a signed 32-bit integer field can hold.
Table of the orders of the largest known graphs for the undirected degree diameter problem [ edit ] Below is the table of the vertex numbers for the best-known graphs (as of July 2022) in the undirected degree diameter problem for graphs of degree at most 3 ≤ d ≤ 16 and diameter 2 ≤ k ≤ 10.
The size of G is bounded above by the Moore bound; for 1 < k and 2 < d, only the Petersen graph, the Hoffman-Singleton graph, and possibly graphs (not yet proven to exist) of diameter k = 2 and degree d = 57 attain the Moore bound. In general, the largest degree-diameter graphs are much smaller in size than the Moore bound.
The largest of these may have a hydrostatic-equilibrium shape, but most are irregular. Most of the trans-Neptunian objects (TNOs) listed with a radius smaller than 200 km have " assumed sizes based on a generic albedo of 0.09" since they are too far away to directly measure their sizes with existing instruments.
One speculation is that a void could cause the cold spot, with the possible size on the left. However, it may be as large as 1 billion light-years, close to the size of the Giant Void. B&B Abell-4 void: 489,000,000: B&B Abell-15 void: 489,000,000: Tully-3 void: 489,000,000: Catalogued by R. Brent Tully 1994EEDTAWSS-10 void: 469,440,000: Tully-1 ...
Week 9 was a middling return for the Sleeper Page.Bo Nix did about what we expected, and Xavier Legette used touchdown deodorant to sneak into the top 25 at wide receiver.But even a cheap score ...
Rota & Harper (1971) proved that the largest size of an antichain in (,) is the largest Gaussian coefficient [+]; this is the projective-geometry analog, or q-analog, of Sperner's theorem. They further proved that the largest size of an r -chain-free family in L ( p , F q ) {\displaystyle {\mathcal {L}}(p,F_{q})} is the sum of the r largest ...