Weighted Average of cross-section over [Graphics:SoftComptongr95.gif] for fixed &Dgr;

[Graphics:SoftComptongr96.gif]

[Graphics:SoftComptongr97.gif]

[Graphics:SoftComptongr98.gif]

[Graphics:SoftComptongr99.gif]

[Graphics:SoftComptongr100.gif]

[Graphics:SoftComptongr101.gif]

[Graphics:SoftComptongr102.gif]

[Graphics:SoftComptongr103.gif]

[Graphics:SoftComptongr104.gif]

[Graphics:SoftComptongr105.gif]

[Graphics:SoftComptongr106.gif]

[Graphics:SoftComptongr107.gif]

[Graphics:SoftComptongr108.gif]

[Graphics:SoftComptongr109.gif]

[Graphics:SoftComptongr110.gif]

[Graphics:SoftComptongr111.gif]

We can rederive all the moments using this function

[Graphics:SoftComptongr112.gif]

[Graphics:SoftComptongr113.gif]

[Graphics:SoftComptongr114.gif]

[Graphics:SoftComptongr115.gif]

[Graphics:SoftComptongr116.gif]

[Graphics:SoftComptongr117.gif]

[Graphics:SoftComptongr118.gif]

[Graphics:SoftComptongr119.gif]

[Graphics:SoftComptongr120.gif]

[Graphics:SoftComptongr121.gif]

We can do some moments we haven't done before

[Graphics:SoftComptongr122.gif]

[Graphics:SoftComptongr123.gif]

[Graphics:SoftComptongr124.gif]

[Graphics:SoftComptongr125.gif]

Document converted by Mathematica of Wolfram Research