In a numerical control $$(NC)$$ machine positioning system, the measures of precision are expressed by considering a single axis as shown in the Figure.

If $$\sigma $$ is standard deviation of the error distribution, the $$L$$, $$M$$ and $$N$$ are

A steel wire of $$2$$ $$mm$$ diameter is to be drawn from a wire of $$5mm$$ diameter. The value of true strain developed is _____________ (up to three decimal places)

A metallic strip having a thickness of $$12$$ $$mm$$ is to be rolled using two steel rolls, each of $$800$$ $$mm$$ diameter. It is assumed that there is no change in width of the strip during rolling. In order to achieve $$10\% $$ reduction in cross-sectional area of the strip after rolling, the angle subtended (in degrees) by the deformation zone at the center of the roll is

Accuracy of a measuring instrument is expressed as