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An amplifier can be used to adapt the range of a signal to a requirement, to make it more robust for transmission, or to satisfy interface requirements (like input/output impedance).

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Small Signals and Large Signals Terminology: Models and Amplifiers

The small signal amplifier is an amplifier when the applied AC input is small with respect to the DC operating point on the DC load line. … The large signal amplifier is used as a power amplifier. …
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How should the differential gain of an op-amp be interpreted?

References: Opamp Differential Amplifier Wikipedia Differential Amplifier IIT Sedra Smith Seventh Edition (Specific pages) Gayakwad Linear Integrated Circuits (Specific pages) …
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