The magnitude of the output voltage is proportional to the distance moved by the core (up to its limit of travel), which is why the device is described as having a "linear" response to displacement.
The coils are connected in reverse series, so that the output voltage is the difference (hence "differential") between the two secondary voltages.
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I'm not altogether clear about what you mean. However, the term 'linear programming' means a category of optimisation problems in which both the objective function and the constraints are linear. Please see the link.
The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.
Non-linear partial differential equations. Are you offering to help me? If not, why did you ask?
Differential calculus is a branch of math involved in finding instantaneous rates of change. A differential is one of those concepts, which, just like linear algebraic equations the slope may be separated into 2 parts, so a differential may be one part of an instantaneous rate of change.
If the coefficients of the linear differential equation are dependent on time, then it is time variant otherwise it is time invariant. E.g: 3 * dx/dt + x = 0 is time invariant 3t * dx/dt + x = 0 is time variant