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This is the case for all linear elements, but also, for example, an ideal diode, which in circuit theory terms is a non-linear resistor, has a constitutive relation of the form = (). Both independent voltage and independent current sources can be considered non-linear resistors under this definition. [3]
A linear circuit is one that has no nonlinear electronic components in it. [1] [2] [3] Examples of linear circuits are amplifiers, differentiators, and integrators, linear electronic filters, or any circuit composed exclusively of ideal resistors, capacitors, inductors, op-amps (in the "non-saturated" region), and other "linear" circuit elements.
An important consideration in non-linear analysis is the question of uniqueness. For a network composed of linear components there will always be one, and only one, unique solution for a given set of boundary conditions. This is not always the case in non-linear circuits.
In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator.Linear systems typically exhibit features and properties that are much simpler than the nonlinear case.
One currently active field of research is the use of linear optics versus the use of nonlinear optics in quantum computing.For example, one model of linear optical quantum computing, the KLM model, is universal for quantum computing, and another model, the boson sampling-based model, is believed to be non-universal (for quantum computing) yet still seems to be able to solve some problems ...
To define them he uses diagonal matrices A ij having only +1 or −1 for non-zero elements. Some of the "inner products" are symplectic forms and some are sesquilinear forms or Hermitian forms . Rather than a general field K , the instances with real numbers R , complex numbers C , and quaternions H are spelled out.
Another contrast is between linear and non-linear models. Most early models of communication are linear models. They present communication as a unidirectional process in which messages flow from the communicator to the audience. Non-linear models, on the other hand, are multi-directional: messages are sent back and forth between participants.
Conversely, every line is the set of all solutions of a linear equation. The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding ...