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I thought it was a spelling mistake in my lab book but apparently they wire with that notation, what does it mean? is 14 mm the length and 0.3 mm the thickness of the wire?

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It usually means that the cable is made from 14 strands of wire with each wire having a diameter of 0.3 mm. This means it has an overall cross sectional area of 1 mm²: -

$$14\times \dfrac{\pi\cdot 0.3^2}{4} = 0.9896\text{ sq mm}$$

Example from Farnell: -

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