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Mathematics Undergraduate

おおまかな訳を教えてほしいです！！

For the first time ever, scientists have captured thought on video in real 員 t looks like a pink and purple grain of rice zipping around a large Dur- le 部 Really, that grain of rice is a thought moving around in the brain a zebrafish. Researchers at the National Institute ef 人Qene08 in Japan picked。 the brafish for this study because it has a see- -tbrough body By が the nes ofe zebrafish larvae, scientists can make certain parts of the fish glow ith Huofeseence. Since neurons in the brain use calcium to fire, the Saita- ia University researchers linked a protein to the fish's genes that glows the pf6Rence of calcium. When neurons fire in the fish's brain, the pro- in lights up,and we can seeit withthe helpofa 06808nt microscODe. je can make the invisible yastpeGDet most important,” said re- earcher Koichi Kawakami. ME 409 Ame tt Once yourve got a fish with a glowing brain, how do you know what it's inking about? Before recording the thought, the scientists fjgured out hich neurons in the fish's brain responded to movement. Then, they re- leased a paramecium, a tiny single-celled creature that the fsh love to eat- the paramecium moved, neurons in the fsh's brain Hit up in a pattern at matched the fish's motion. 5|So what does a fish think about? Thats easy 一 food! 9上 民【
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Mathematics Undergraduate

問題3.6の解き方、回答を教えてください

問題 3.4 と 3.5 は教科書 p.185,5 からの出題である. 問題 3.4. 各げ:りっーRR はそれぞれ の 上で調和関数であることを示せ. (①) 7(@の=tam]るのニRN(Gのezニ0 (②) 7(?,の = log(2二の) の=RIN((0.0)} 1 ⑬) 7/@,の2) = 取52sl 問題 3.5. 7(z,9) = @"“- cos(0z 十 oy) は RR2 上で調和関数であることを示せ の0cRR は定数である. の= RR3 \ {(0,0,0)}
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TOEIC・English Undergraduate

添付画像の英文の全文和訳をお願いします！

(旭eagzng 英文を読んで以下の質問に答えましょう。 PED yior fg dog 7 7gvo77fe 7/qce の7 Cg77DG。 Therc are lots of good places on campus to hang out. Between classes. youll probabIy fnd me relaxing somewhere with friends or studying for a test. One ofmy favorite spots is the Hibrary. THike spending time at the library because itS quietandlcan concentrate on studying. Sometimes 1 fall asleep、though. ITI have along break beveen classes Ilike to hang out in the student lounge. Lots of my clasSmates are (here and we can study toOgether There are als0 some PC ofnoisy around noon。 so iWS not a good Just look around campus and VOuire you like. Maybe TIl see you arOund langout ぶらぶらする/ 人asleepl sec you around あなたがいるのを見つけ
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