tag:blogger.com,1999:blog-6832127958958928982012-02-16T02:17:22.964-08:00cactusnoreply@blogger.comBlogger41100tag:blogger.com,1999:blog-683212795895892898.post-15029634909155249382007-01-13T07:46:00.000-08:002007-01-13T08:33:30.185-08:00<div>It is reported that there was a train falling off a cliff recently. So I wonder that if the driver notices the danger when the train with a length <em>L</em> and a mass <em>M</em> reaches the edge of the cliff at a speed of <em>V</em>, and brakes the train, what is the safe friction coefficient to keep the train from falling off? One may suppose that the train is soft.<br /></div><br /><a href="http://bp1.blogger.com/_srFGzv9O7Ek/RakJrXHNOHI/AAAAAAAAAA4/MwIFpAudBVE/s1600-h/Q3+copy.png"><img id="BLOGGER_PHOTO_ID_5019553900224395378" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://bp1.blogger.com/_srFGzv9O7Ek/RakJrXHNOHI/AAAAAAAAAA4/MwIFpAudBVE/s320/Q3+copy.png" border="0" /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/683212795895892898-1502963490915524938?l=fttotm.blogspot.com' alt='' /></div>cactusnoreply@blogger.com0tag:blogger.com,1999:blog-683212795895892898.post-78229342629560854632007-01-11T03:11:00.000-08:002007-01-11T03:42:17.794-08:00Darius and I often played Weiqi(a Chinese chess), and the total score was about Darius:I=4:6. But this Monday we decided that the person who win 10 times will win finally for this week's match. Unluckily, so far the score is Darius:I=6:4. So who do you think will win the match? <br />This question is simplified from that of a "Diablo" player of Finland. He asked that:<br />There are k persons playing a game with probabilities p1,p2,...,pk to win respectly. Now they have won n1,n2,...,nk times respectly and the person who win m(>max{n1,n2,...,nk}) times will win finally. So what is the probability to win finally for each one?<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/683212795895892898-7822934262956085463?l=fttotm.blogspot.com' alt='' /></div>cactusnoreply@blogger.com0tag:blogger.com,1999:blog-683212795895892898.post-67604698141371992182007-01-10T08:16:00.000-08:002007-01-11T03:10:36.363-08:00There is a resistor of one dimension biased at a voltage <em>V</em>. And the current that runs in and out is <em>I</em>1 and <em>I</em>2 respectly. Create a model to calculate the equivalent resistance.<br /><a href="http://bp1.blogger.com/_srFGzv9O7Ek/RaYaTHHNOFI/AAAAAAAAAAc/Kc8szkwOnJw/s1600-h/Q1+copy.png"><img id="BLOGGER_PHOTO_ID_5018727750380107858" style="CURSOR: hand" alt="" src="http://bp1.blogger.com/_srFGzv9O7Ek/RaYaTHHNOFI/AAAAAAAAAAc/Kc8szkwOnJw/s320/Q1+copy.png" border="0" /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/683212795895892898-6760469814137199218?l=fttotm.blogspot.com' alt='' /></div>cactusnoreply@blogger.com0tag:blogger.com,1999:blog-683212795895892898.post-89138621558140352872007-01-06T20:14:00.000-08:002007-01-10T08:16:20.409-08:00<div align="justify"><span style="font-family:arial;color:#cccccc;">Darius complained that this blog had not be updated for a long time. Well, the fact is that I forgot the password. And Asoko said that she can't read my Chinese blog, and advised me writing in English. Sorry, because English may not accurately express my feelings for daily life blog, I decide to change this blog into an English version instead.</span></div><div align="justify"><span style="font-family:arial;color:#cccccc;">As the purpose, I think that this blog is for discussion questions. Questions can be proposed and discussed by anyone. And the rule here is that replies unconcerned to the theme or leaking the participants' true information without admission will be deleted. </span></div><div align="justify"><span style="font-family:arial;color:#cccccc;">Since replies are restricted by Google for they can't contain pictures. So a suggestion is posting a link with some descriptions. And free host space can be found everywhere. And I will conclude the discussions at the proper time.</span></div><div align="justify"><span style="font-family:arial;color:#cccccc;">I hope that you will enjoy here!</span></div><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/683212795895892898-8913862155814035287?l=fttotm.blogspot.com' alt='' /></div>cactusnoreply@blogger.com0