tag:blogger.com,1999:blog-31168071227702611472024-02-19T08:13:09.291-05:00Liviu's Math BlogHope to add bits of mathematics or mathematical news I find interesting.Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.comBlogger123125tag:blogger.com,1999:blog-3116807122770261147.post-86100847692158009342022-11-02T15:43:00.000-04:002022-11-02T15:43:03.236-04:00WHCGP: Michael Douglas, "How will we do mathematics in 2030?"Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-78031825234067182732020-12-21T14:17:00.001-05:002020-12-21T14:17:18.110-05:00"How to write mathematics badly" by Jean Pierre Serre (noise removed)Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-63992893502844077992020-08-12T08:35:00.002-04:002020-12-21T14:21:21.796-05:00A video conference by Robert D. MacPherson This videoconference by Bob MacPherson is courtesy Simons Foundation Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-81242001991987928902020-02-25T10:54:00.000-05:002020-02-25T10:54:04.008-05:00mathUgandaI want to advertise here the efforts of Sergiu Moroianu to help young math olympians from Uganda. I think this is a worthy cause. You can learn more at this site. You too can help by spreading the news about this initiative.
Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-58662152722730402152019-12-08T03:35:00.000-05:002019-12-09T09:24:06.437-05:00Random convex polygons IIIAs I mentioned in one of my earlier posts, the early work of Renyi and Sulanke on random planar polygons was available only in German. This consists of three separate articles published over a couple of years. Now, courtesy of the efforts of Manfred Weis, English translations are available to&Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-50125501642814803652019-12-03T06:43:00.000-05:002019-12-08T03:30:05.681-05:00Random convex polygons IIAs I mentioned in one of my earlier posts, the early work of Renyi and Sulanke on random planar convex polygons was available only in German. This consists of three separate articles published over a couple of years. Now, courtesy of the efforts of Manfred Weis, English translations are available to&Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-615168248256747542019-12-03T06:10:00.001-05:002019-12-08T03:30:52.533-05:00Random convex polygons IAs I mentioned in one of my earlier posts, the early work of Renyi and Sulanke on random planar convex polygons was available only in German. This consists of three separate articles published over a couple of years. Now, courtesy of the efforts of Manfred Weis, English translations are available to the Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-90702555944460614132019-05-06T09:58:00.001-04:002019-05-06T09:58:38.484-04:00Liviu Nicolaescu (Geometer/Probabilist) - Meet a Mathematician (002)Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-86994562260720105862018-12-26T14:56:00.001-05:002018-12-26T14:56:36.931-05:00Normal cycles and curvature measures 2 Sept 25 2018Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-67045537576511500972018-10-31T21:28:00.001-04:002018-10-31T21:28:02.949-04:00Without a Proof, Mathematicians Wonder How Much Evidence Is Enough | Quanta MagazineWithout a Proof, Mathematicians Wonder How Much Evidence Is Enough | Quanta MagazineLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-66099275770570639062018-10-23T09:19:00.001-04:002018-10-23T09:19:48.547-04:00The 9th Congress of Romanian MathematiciansThe 9th Congress of Romanian mathematicians will take place at Galați Romania from June 28 to July 3 2019. More details at the Congress website.Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-24926076412249875292018-10-21T07:52:00.002-04:002018-10-21T09:25:23.183-04:00Notes on Elementary ProbabilityFor the first time, I have self-published with Amazon. I liked how my undergraduate probability notes turned out and I decided to publish them with Amazon. You can get them here. I will still make them available at no cost to my students in electronic form. Here is the cover.
By the way, I here is my author page on AmazonLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-67223729799740350212018-10-01T11:11:00.001-04:002018-10-01T11:12:23.246-04:00Normal cycles and curvature measures 1 Sept 18 2018Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-44093012386543874562018-06-06T15:21:00.000-04:002018-06-06T15:21:59.429-04:00About order statistics. Suppose that $X_1,\dotsc , X_n$ are independent random variables uniformly distributed in $[0,1]$. Denote by $Y_i=X_{(i)}$ its order statistics.
The random vector $(Y_1,\dotsc, Y_n)$ has distribution
$$
p(y_1,\dotsc, y_n)=\begin{cases}
n!, & 0\leq y_1\leq \cdots \leq y_n\leq 1, \\
0, & {\rm otherwise}.
\end{cases}
$$
The random variable $Y_k$ has distribution
$$
p_k(Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-40879164677013415082017-05-30T16:37:00.001-04:002017-05-30T16:37:00.626-04:00A Puzzle of Clever Connections Nears a Happy EndThe puzzle was given a memorable nickname, the “happy ending” problem (or “happy end” problem as originally dubbed by Erdős), for reasons that had nothing to do with math. Instead, it reflected the primary nonmathematical consequence of their discussion of points, lines and shapes: Esther Klein and George Szekeres fell in love and married on June 13, 1937. Yet as the decades passed, Liviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-34638793511275131192017-05-24T19:58:00.001-04:002017-05-24T20:00:01.032-04:00Kollár and Voisin receive 2017 Shaw Prize in mathematicsKollár receives 2017 Shaw Prize in mathematicsLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-24603652752421737182017-05-23T11:49:00.001-04:002017-05-23T11:50:13.711-04:00V.I. Arnold, On teaching mathematicsV.I. Arnold, On teaching mathematicsLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-79468632068886699612017-05-14T08:43:00.001-04:002017-05-14T08:43:55.160-04:00Archives Grothendieck » Archives GrothendieckArchives Grothendieck » Archives GrothendieckLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-5920987575388382702017-04-15T09:52:00.001-04:002017-04-15T09:52:02.923-04:00A Conversation with Joe DoobA Conversation with Joe DoobLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-33528426910525756452017-03-01T14:36:00.001-05:002017-03-01T14:36:36.102-05:00A Circular Approach To Linear Algebra | Blog on math blogsA Circular Approach To Linear Algebra | Blog on math blogsLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-34672068142266704242016-12-26T05:57:00.001-05:002016-12-26T05:57:47.379-05:00Nurturing Genius - Scientific AmericanNurturing Genius - Scientific AmericanLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-59001529977362323602016-09-01T10:09:00.001-04:002016-09-01T10:09:35.133-04:00The Ximera Project: Turning LaTeX into Interactive Websites | PhD epsilonThe Ximera Project: Turning LaTeX into Interactive Websites | PhD epsilonLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-63707261292671163882016-03-28T12:52:00.000-04:002016-04-07T04:44:48.045-04:001-D white noiseLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-78266730620585307082016-01-27T16:40:00.001-05:002016-01-27T16:40:57.808-05:00Computer Beats Go Champion for the First Time - Scientific AmericanComputer Beats Go Champion for the First Time - Scientific AmericanLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0tag:blogger.com,1999:blog-3116807122770261147.post-6141510396708932332016-01-01T22:29:00.001-05:002016-01-01T22:29:49.395-05:00Paul Ford: What is Code? | BloombergPaul Ford: What is Code? | BloombergLiviu Nicolaescuhttp://www.blogger.com/profile/08782270128196811662noreply@blogger.com0