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  2. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    The lines connecting the remaining houses with the utilities divide the plane into three regions. Whichever region the deleted house is placed into, the similarly shaded utility is outside the region. By the Jordan curve theorem, a line connecting them must intersect one of the existing lines.

  3. Transposition (transmission lines) - Wikipedia

    en.wikipedia.org/wiki/Transposition...

    This is typically not symmetrical across phases. By transposing, the overall capacitance for the whole line is approximately balanced. Transposing also reduce effects to communication circuits. [1] Wire transposition on top of pole. A transposing scheme is a pattern by which the conductors of overhead power lines are transposed at transposing ...

  4. Mathematics of three-phase electric power - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_three-phase...

    The plotted line represents the variation of instantaneous voltage (or current) with respect to time. This cycle repeats with a frequency that depends on the power system. In electrical engineering, three-phase electric power systems have at least three conductors carrying alternating voltages that are offset in time by one-third of the period ...

  5. Telegrapher's equations - Wikipedia

    en.wikipedia.org/wiki/Telegrapher's_equations

    Equivalent circuit of an unbalanced transmission line (such as coaxial cable) where: 2/Z o is the trans-admittance of VCCS (Voltage Controlled Current Source), x is the length of transmission line, Z(s) ≡ Z o (s) is the characteristic impedance, T(s) is the propagation function, γ(s) is the propagation "constant", s ≡ j ω, and j 2 ≡ −1.

  6. Overhead power line - Wikipedia

    en.wikipedia.org/wiki/Overhead_power_line

    In 1985 overhead power line was built in Soviet Union between Kokshetau and the power station at Ekibastuz, this was a three-phase alternating current line at 1150 kV. In 1999, in Japan the first powerline designed for 1000 kV with 2 circuits were built, the Kita-Iwaki Powerline .

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    mail.aol.com

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  8. Single-wire earth return - Wikipedia

    en.wikipedia.org/wiki/Single-wire_earth_return

    The voltage changes due to the transition from line-to-line to line-to-earth, typically reducing a 22 kV grid to 12.7 kV SWER or a 33 kV grid to 19.1 kV SWER. The SWER line is a single conductor that may stretch for tens or even hundreds of kilometres, with a number of distribution transformers along its length.

  9. 50 Nerdy Pickup Lines That'll Win Over Every Mathlete ... - AOL

    www.aol.com/lifestyle/50-nerdy-pickup-lines...

    Nerdy pickup lines perfect for texting convos or dating apps that span a variety of fandoms and interests, ranging from math to science to "Harry Potter." 50 Nerdy Pickup Lines That'll Win Over ...