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  2. Radius of convergence - Wikipedia

    en.wikipedia.org/wiki/Radius_of_convergence

    Radius of convergence. In mathematics, the radius of convergence of a power series is the radius of the largest disk at the center of the series in which the series converges. It is either a non-negative real number or . When it is positive, the power series converges absolutely and uniformly on compact sets inside the open disk of radius equal ...

  3. Series and parallel circuits - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_circuits

    A circuit composed solely of components connected in series is known as a series circuit; likewise, one connected completely in parallel is known as a parallel circuit. Many circuits can be analyzed as a combination of series and parallel circuits, along with other configurations. In a series circuit, the current that flows through each of the ...

  4. RLC circuit - Wikipedia

    en.wikipedia.org/wiki/RLC_circuit

    An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected in series or in parallel. The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC.

  5. Cauchy–Hadamard theorem - Wikipedia

    en.wikipedia.org/wiki/Cauchy–Hadamard_theorem

    hide. In mathematics, the Cauchy–Hadamard theorem is a result in complex analysis named after the French mathematicians Augustin Louis Cauchy and Jacques Hadamard, describing the radius of convergence of a power series. It was published in 1821 by Cauchy, [ 1 ] but remained relatively unknown until Hadamard rediscovered it. [ 2 ]

  6. Equivalent impedance transforms - Wikipedia

    en.wikipedia.org/wiki/Equivalent_impedance...

    An equivalent impedance is an equivalent circuit of an electrical network of impedance elements [note 2] which presents the same impedance between all pairs of terminals [note 10] as did the given network. This article describes mathematical transformations between some passive, linear impedance networks commonly found in electronic circuits.

  7. Marx generator - Wikipedia

    en.wikipedia.org/wiki/Marx_generator

    A Marx generator is an electrical circuit first described by Erwin Otto Marx in 1924. [1] Its purpose is to generate a high- voltage pulse from a low-voltage DC supply. Marx generators are used in high-energy physics experiments, as well as to simulate the effects of lightning on power-line gear and aviation equipment.

  8. Mathematics of three-phase electric power - Wikipedia

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

    Mathematics of three-phase electric power. One voltage cycle of a three-phase system, labeled 0 to 360° (2π radians) along the time axis. 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.

  9. Miller theorem - Wikipedia

    en.wikipedia.org/wiki/Miller_theorem

    Miller theorem. The Miller theorem refers to the process of creating equivalent circuits. It asserts that a floating impedance element, supplied by two voltage sources connected in series, may be split into two grounded elements with corresponding impedances. There is also a dual Miller theorem with regards to impedance supplied by two current ...