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What is a z-axis?

What is a z-axis? Here are some definitions.

Noun
  1. (algebraic geometry): The axis on a graph that is usually drawn as if vertical and usually shows the range of values of a variable dependent on two other variables or the third independent variable.
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Examples
The Z-axis zooming effects that iOS 7 has been lauded for are reduced to mere fade ins and out with the Reduced Motion toggle flipped on.
Options for electronic z-axis measurement, lens replacement where necessary and calibration graticules will be available.
The cylindricity of this hole characterizes the straightness error of the z-axis motion.
The distance between images taken along the optical z-axis and the number of images projected into a single plane is indicated.
Each cell is shown at seven different focal points separated by 1-m distances in the z-axis.
A helical scan with a pitch of zero is equivalent to constant z-axis scanning.

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