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inverse_blog [2014/08/06 20:42]
potthast
inverse_blog [2014/08/06 21:08]
potthast
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 How do we calculate the temperature at other places from these measurements?​ A first How do we calculate the temperature at other places from these measurements?​ A first
 and simple idea might be to use **interpolation**. That has been the first idea which and simple idea might be to use **interpolation**. That has been the first idea which
-researchers had in the 1950s of the last century. It lead to algorithms which were+researchers had in the 1950s of the last century. It leads to algorithms which were
 called //optimal interpolation//,​ since they took all the temperature measurements and called //optimal interpolation//,​ since they took all the temperature measurements and
 many other types of measurements together and interpolated an "​optimal"​ state estimate. ​ many other types of measurements together and interpolated an "​optimal"​ state estimate. ​
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 The black lines are some "​ensemble"​ of temperature distributions reflecting our knowledge The black lines are some "​ensemble"​ of temperature distributions reflecting our knowledge
 about what we think is there - usually calculated from measurements in the past.  about what we think is there - usually calculated from measurements in the past. 
-But the measurements show that the temperatures at the left+But the measurements ​(blue diamonds) ​show that the temperatures at the left
 part of the front are too high, and those on the warmer part of the front are too low. If we part of the front are too high, and those on the warmer part of the front are too low. If we
 would just interpolate,​ we would loose a lot of our knowledge about the distributions. ​ would just interpolate,​ we would loose a lot of our knowledge about the distributions. ​
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 {{roland201bb.jpg }} {{roland201bb.jpg }}
-All the best, \\+Enjoy science! ​\\
 Roland Potthast \\ Roland Potthast \\
 for [[http://​inverseproblems.info]]. ​ for [[http://​inverseproblems.info]]. ​
inverse_blog.txt ยท Last modified: 2014/08/06 21:08 by potthast