Linking Models and Experiments, Volume 2

4XDGUDWLF 5HVSRQVH 6XUIDFHV ,Q UHVSRQVH VXUIDFH PHWKRGRORJ\ LI GDWD IROORZV D IODW VXUIDFH D ILUVW RUGHU PRGHO LV XVXDOO\ VXIILFLHQW ,I WKHUH LV FXUYDWXUH LQ WKH GDWD D ILUVW RUGHU PRGHO ZRXOG VKRZ D VLJQLILFDQW ODFN RI ILW DQG D KLJKHU RUGHU PRGHO PXVW EH XVHG VXFK DV ¦ ¦ ¦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Ö ¦ N L L L\ \ 66( ZKHUH N LV WKH QXPEHU RI WUDLQLQJ VDPSOHV L\ DQG L\Ö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

RkJQdWJsaXNoZXIy MTMzNzEzMQ==