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  2. Parallel (operator) - Wikipedia

    en.wikipedia.org/wiki/Parallel_(operator)

    Graphical interpretation of the parallel operator with =.. The parallel operator ‖ (pronounced "parallel", [1] following the parallel lines notation from geometry; [2] [3] also known as reduced sum, parallel sum or parallel addition) is a binary operation which is used as a shorthand in electrical engineering, [4] [5] [6] [nb 1] but is also used in kinetics, fluid mechanics and financial ...

  3. Series and parallel circuits - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_circuits

    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 components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. [1]

  4. Series–parallel graph - Wikipedia

    en.wikipedia.org/wiki/Series–parallel_graph

    Definition 1. Finally, a graph is called series–parallel (SP-graph), if it is a TTSPG when some two of its vertices are regarded as source and sink. In a similar way one may define series–parallel digraphs, constructed from copies of single-arc graphs, with arcs directed from the source to the sink.

  5. Mathematical methods in electronics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_methods_in...

    Differential Equations: Applied to model and analyze the behavior of circuits over time. Used in the study of filters, oscillators, and transient responses of circuits. Complex Numbers and Complex Analysis: Important for circuit analysis and impedance calculations. Used in signal processing and to solve problems involving sinusoidal signals.

  6. Millman's theorem - Wikipedia

    en.wikipedia.org/wiki/Millman's_theorem

    In electrical engineering, Millman's theorem [1] (or the parallel generator theorem) is a method to simplify the solution of a circuit. Specifically, Millman's theorem is used to compute the voltage at the ends of a circuit made up of only branches in parallel. It is named after Jacob Millman, who proved the theorem.

  7. Circuit topology (electrical) - Wikipedia

    en.wikipedia.org/wiki/Circuit_topology_(electrical)

    Graph theory is the branch of mathematics dealing with graphs. In network analysis, graphs are used extensively to represent a network being analysed. The graph of a network captures only certain aspects of a network: those aspects related to its connectivity, or, in other words, its topology.

  8. LC circuit - Wikipedia

    en.wikipedia.org/wiki/LC_circuit

    A parallel resonant circuit can be used as load impedance in output circuits of RF amplifiers. Due to high impedance, the gain of amplifier is maximum at resonant frequency. Both parallel and series resonant circuits are used in induction heating. LC circuits behave as electronic resonators, which are a key component in many applications ...

  9. Arithmetic circuit complexity - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_circuit_complexity

    A circuit has two complexity measures associated with it: size and depth. The size of a circuit is the number of gates in it, and the depth of a circuit is the length of the longest directed path in it. For example, the circuit in the figure has size six and depth two. An arithmetic circuit computes a polynomial in the following natural way.