what 's a meaning of "given" in this sentence ?
we have now developed a way to design distributed amplifiers given the desired frequency and number of stages
This means that if the designers (of the "distributed amplifiers") are supplied with (given) the "frequency and number of stages" required in the amplifier they (the designers) can produce an amplifier with the characteristics specified by the "frequency and number of stages".
Presumably, the designers are depending on their customers, managers, or some other end user of the amplifier to supply the necessary specifications (i.e. the frequency and number of stages).
I hope this makes sense. If not feel free to request clarification.