deng fen bu can shu shi bie wen ti de shu zhi mo ni shi ke xue he gong cheng ji suan zhong de zhong yao yan jiu ling yu zai cai liao li xue gong cheng li xue deng fang mian du you guang fan ying yong you yu da liang deng fen bu can shu shi bie wen ti ji suan gui mo ju da dui qiu jie su du yao qiu hen gao yin ci ti gao zhe lei zui you kong zhi wen ti de ji suan xiao lv shi ji xu jie jue de zhong yao wen ti zai xian you de hen duo wen xian zhong zhu yao cai yong de shi biao zhun you xian yuan lai yan jiu can shu shi bie wen ti ran er dui yu mou xie te ding de wen ti hun he you xian yuan you zhao bu ke ti dai de you shi ben shu zhong wo men zhu yao yan jiu le ji lei deng fen bu can shu shi bie wen ti de hun he you xian yuan fang fa huo de can shu shi bie wen ti hun he you xian yuan jie de xian yan wu cha gu ji zui da mo wu cha gu ji hou yan wu cha gu ji he chao shou lian ben shu gong fen wei san bu fen di yi bu fen wo men kao lv yi lei er ci fan han qing xing de deng fen bu can shu shi bie wen ti jian li le can shu shi bie wen ti de hun he you xian yuan li san ge shi huo de le deng fen bu can shu shi bie wen ti hun he you xian yuan jie de zui da mo wu cha gu ji di er bu fen ji yu Helmoholtz fen jie he Bubble han shu deng si xiang bing jie he yi xie fei xian xing fang cheng xian xing hua de ji qiao Clement tou ying suan zi he yi xie fu zhu wen ti de xian yan wu cha gu ji de dao le yi ban fan han qing xing de deng fen bu can shu shi bie wen ti hun he you xian yuan jie de hou yan wu cha gu ji di san bu fen shou xian jian li le er ci fan han qing xing de deng fen bu can shu shi bie wen ti de hun he you xian yuan li san ge shi ran hou gou zao yi xie zhong jian bian liang he xiang ying de wu cha fang cheng bing jie he tou ying suan zi he ji zhong qi ta tou ying suan zi de xing zhi yan jiu le deng fen bu can shu shi bie wen ti hun he you xian yuan bi jin jie de chao shou lian bing she ji shu zhi suan li yan zheng li lun jie guo