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  2. Kuratowski's theorem - Wikipedia

    en.wikipedia.org/wiki/Kuratowski's_theorem

    Proof without words that a hypercube graph is non-planar using Kuratowski's or Wagner's theorems and finding either K 5 (top) or K 3,3 (bottom) subgraphs. If is a graph that contains a subgraph that is a subdivision of or ,, then is known as a Kuratowski subgraph of . [1]

  3. Planar transformer - Wikipedia

    en.wikipedia.org/wiki/Planar_transformer

    Planar transformers [1] are high frequency transformers used in isolated switchmode power supplies operating at high frequency. As opposed to conventional "wire-wound-on-a-bobbin" transformers, planar transformers usually contain winding turns made of thin copper sheets riveted together at the ends of turns in the case of high current windings ...

  4. Planar transmission line - Wikipedia

    en.wikipedia.org/wiki/Planar_transmission_line

    An RF power amplifier incorporating planar circuit structures. The amplifier on the left feeds its output into a set of planar transmission line filters in the centre. The third circuit block on the right is a circulator to protect the amplifier from accidental reflections of the power back from the antenna

  5. Planar SAT - Wikipedia

    en.wikipedia.org/wiki/Planar_SAT

    Planar 1-in-3SAT: This is the planar equivalent of 1-in-3SAT. It is NP-complete. [6] Planar positive rectilinear 1-in-3SAT: This is the planar equivalent of positive 1-in-3SAT. It is NP-complete. [7] Planar NAE 3SAT: This problem is the planar equivalent of NAE 3SAT. Unlike the other variants, this problem can be solved in polynomial time.

  6. List of Porsche engines - Wikipedia

    en.wikipedia.org/wiki/List_of_Porsche_engines

    English. Read; Edit; View history ... (997) 2006 911 Carrera S ... Vehicle Type Type MY Engine numbers Technical data Cayenne S M48.00 03 3 813 00501>60000 8 Cyl/4,5L ...

  7. Planar algebra - Wikipedia

    en.wikipedia.org/wiki/Planar_algebra

    In mathematics, planar algebras first appeared in the work of Vaughan Jones on the standard invariant of a II 1 subfactor. [1] They also provide an appropriate algebraic framework for many knot invariants (in particular the Jones polynomial ), and have been used in describing the properties of Khovanov homology with respect to tangle composition.

  8. Planar Systems - Wikipedia

    en.wikipedia.org/wiki/Planar_Systems

    Planar Systems, Inc. is an American digital display manufacturing corporation with a facility in Hillsboro, Oregon. Founded in 1983 as a spin-off from Tektronix , it was the first U.S. manufacturer of electroluminescent (EL) digital displays.

  9. Planar graph - Wikipedia

    en.wikipedia.org/wiki/Planar_graph

    A 1-planar graph is a graph that may be drawn in the plane with at most one simple crossing per edge, and a k-planar graph is a graph that may be drawn with at most k simple crossings per edge. A map graph is a graph formed from a set of finitely many simply-connected interior-disjoint regions in the plane by connecting two regions when they ...

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