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It also explains naturally why ethylene is a planar molecule, because twisting one end of the molecule relative to the other reduces the overlap between the 2p orbitals and hence weakens the π bond.
Similarly, the bisection of any angle is a planar construction (as shown in Elements, Book I, proposition 9), but the general trisection of the angle is of the solid type.
If G is a planar graph of diameter 2.
The accelerator considered is a planar tetrode-type system.
This yields that ({mathbb {G}}({mathbb {Z}}_n)) is a planar graph.
Therefore by Theorem 1, ({mathbb {G}}({mathbb {Z}}_n)) is a planar graph.
A Fischer projection is a planar representation of a molecule that preserves information about chirality.
A plane graph is a planar graph together with an embedding in the plane.
Now, by Theorem 1, we find that ({mathbb {G}}({mathbb {Z}}_n)) is a planar graph.
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In carbonate reservoirs, a rock fracture is a planar-shaped void filled with oil, water, gas, and even rock fines.
In carbonate oil reservoirs, a rock fracture is a planar-shaped void filled with oil, water, gas, and/or rock fines.
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