Area of a circle trigonometry, uses the coarea formula. Define a function formula_10 by formula_11. Note ρ is a Lipschitz function whose gradient is a unit vector formula_12 (almost everywhere). Let "D" be the disc formula_13 in formula_14. We will show that formula_15, where formula_16 is the two-dimensional Lebesgue measure in formula_14. We shall assume that the one-dimensional Hausdorff measure of the circle formula_18 is formula_19, the circumference of the circle of radius "r". (This can be taken as the definition of circumference.) Then, by the coarea formula, Similar to the onion proof outlined above, we could exploit calculus in a different way in
There Is a Light That Never Goes Out a single release by WEA to promote the "...Best II" compilation. The song reached number 25 on the UK Singles Chart, making it their last UK Top 40 appearance to date. Music critics consider "There Is a Light That Never Goes Out" to be one of the Smiths' finest efforts. Simon Goddard wrote, "In a straw poll among Smiths fans today, 'There Is a Light That Never Goes Out' would more than likely still come out victorious", which he credits to the "perfect balance" of Marr's compositional skills and Morrissey's lyricism. AllMusic's Tim DiGravina calls it "a standout among standouts