Electronics Handbook/Components/Op Amp Network

Circuit	$\frac{V_o}{V_i}$	Function
Inverting amplifier	$V_{\mathrm{o}\mathrm{u}\mathrm{t}}=-V_{\mathrm{i}\mathrm{n}}\left(\frac{R_f}{R_1}\right)$	Inverting Amplifier
Non-inverting amplifier	$V_{\mathrm{o}\mathrm{u}\mathrm{t}}=V_{\mathrm{i}\mathrm{n}}(1+\frac{R_2}{R_1})$	Non Inverting Amplifier
Voltage follower	$V_{\mathrm{o}\mathrm{u}\mathrm{t}}=V_{\mathrm{i}\mathrm{n}}$	Voltage Follower
Summing amplifier	$V_{\mathrm{o}\mathrm{u}\mathrm{t}}=-R_{\mathrm{f}}(\frac{V_1}{R_1}+\frac{V_2}{R_2}+\cdots +\frac{V_n}{R_n})$	Voltage Adder
Integrating amplifier	$V_{\mathrm{o}\mathrm{u}\mathrm{t}}=\underset{0}{\overset{t}{\int }}-\frac{V_{\mathrm{i}\mathrm{n}}}{RC}dt+V_{\mathrm{i}\mathrm{n}\mathrm{i}\mathrm{t}\mathrm{i}\mathrm{a}\mathrm{l}}$	Integrator
Differentiating amplifier	$V_{\mathrm{o}\mathrm{u}\mathrm{t}}=-RC\left(\frac{d{V}_{\mathrm{i}\mathrm{n}}}{dt}\right)$	Differentiator
Schmitt trigger	Hysteresis from $\frac{-R_1}{R_2}{V}_{sat}$ to $\frac{R_1}{R_2}{V}_{sat}$	schmitt trigger
Inductance gyrator	L = RLRC	Gyrator
Negative impedance converter	$R_{\mathrm{i}\mathrm{n}}=-R_3\frac{R_1}{R_2}$	Negative Impedance Converter
Logarithmic configuration	$v_{\mathrm{o}\mathrm{u}\mathrm{t}}=-V_{\gamma }\ln \left(\frac{v_{\mathrm{i}\mathrm{n}}}{I_{\mathrm{S}}\cdot R}\right)$	Logarithmic
Exponential configuration	$v_{\mathrm{o}\mathrm{u}\mathrm{t}}=-R{I}_{\mathrm{S}}{e}^{\frac{v_{\mathrm{i}\mathrm{n}}}{V_{\gamma }}}$	Exponential