User bo.gu - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-26T08:55:32Zhttp://mathoverflow.net/feeds/user/20491http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/125861/f3-f2-are-the-cube-and-quadratic-of-f-respectively-and-both-infinite-differen$f^3,f^2$ are the cube and quadratic of f respectively and both infinite differentiable on $R$,how to show so is $f$bo.gu2013-03-28T23:40:35Z2013-04-17T17:53:27Z
<p>Let $f$ be a real function with domain R.
If $f^2$ and $f^3$ are both infinite differentiable on R,
How to prove $f$ be infinite differentiable on R</p>
<p>This problem which I have been thinking it for a long period,but I
I can not find a accurate proof .So if somebody can help me,
I will be appreciative very deeply.</p>
http://mathoverflow.net/questions/124672/functional-equation-how-to-solve/124675#124675Answer by bo.gu for functional equation, how to solvebo.gu2013-03-16T07:35:05Z2013-03-16T07:35:05Z<p>Maybe you can first think the case n=1</p>
http://mathoverflow.net/questions/124674/solvablity-for-some-polynomialsolvablity for some polynomial bo.gu2013-03-16T07:27:28Z2013-03-16T07:27:28Z
<p>We know that if F is a field which ch(F)=0,p(x) is a polynomial with coefficient of F,then p(x)root solvablity if and only if the Galois group of p(x) is solvablity .Here I want to know if the character of F is not zero ,how to judge the root solvablity ?Is there a analogue theorem?</p>
http://mathoverflow.net/questions/114227/a-problem-about-field-extension/114231#114231Answer by bo.gu for a problem about field extension bo.gu2012-11-23T10:03:58Z2012-11-23T10:06:32Z<p>If K and L are F-field extensions, K/F and L/F are both finite dimensional, and the isomorphism from K to L is an F-homomorphism, then the proof is easy, but the general case seems difficult. </p>
http://mathoverflow.net/questions/114227/a-problem-about-field-extensiona problem about field extension bo.gu2012-11-23T09:42:35Z2012-11-23T10:06:32Z
<p>Let K and L are fields,L is a sub field of K,and L is isomorphic to K,whether can we get K=L?If true,how to prove? Thanks.</p>
http://mathoverflow.net/questions/105067/how-to-partition-a-quadrilateral-into-a-finite-number-of-equal-area-trianglesHow to partition a quadrilateral into a finite number of equal-area trianglesbo.gu2012-08-20T02:31:05Z2012-08-20T03:51:25Z
<ol>
<li><p>A quadrilateral can be partitioned into 2 equal-area triangles if and only if one diagonal divides equally the other diagonal.</p></li>
<li><p>It can be proved that most quadrilaterals cannot be partitioned into 3 equal-area triangles.</p></li>
<li><p>Conjecture: For any natural number $n$, there exists a quadrilateral that cannot be partitioned into $n$ equal-area triangles.</p>
<p>How can one prove this?</p></li>
</ol>
<p>[Original question by <a href="http://mathoverflow.net/users/20491/bo-gu" rel="nofollow">bo.gu</a> (MO user20491).]</p>
http://mathoverflow.net/questions/85393/an-ordinary-differential-equationan ordinary differential equation bo.gu2012-01-11T07:26:45Z2012-01-11T08:13:10Z
<p>Does the ordinary differential equation
$$\frac{dy}{dx}=1+\frac{log(1+x)-log(x)}{log(1+x+y)-log(x+y)}$$
have a solution that can be given in closed form?</p>
http://mathoverflow.net/questions/127979/a-question-from-complex-analysis/128106#128106Comment by bo.gubo.gu2013-04-20T03:27:17Z2013-04-20T03:27:17Z@Peter Mueller,How do you find the Counter-example?http://mathoverflow.net/questions/125861/f3-f2-are-the-cube-and-quadratic-of-f-respectively-and-both-infinite-differen/127724#127724Comment by bo.gubo.gu2013-04-18T08:37:42Z2013-04-18T08:37:42Z@Terry Tao,I do not konw your article until now.http://mathoverflow.net/questions/125861/f3-f2-are-the-cube-and-quadratic-of-f-respectively-and-both-infinite-differen/127709#127709Comment by bo.gubo.gu2013-04-18T08:35:07Z2013-04-18T08:35:07Z@Katz,I am a Chinese student,maybe I cannot understand your feeling exactly。I think you should not feel bad,they just give their views about this problem.http://mathoverflow.net/questions/125861/f3-f2-are-the-cube-and-quadratic-of-f-respectively-and-both-infinite-differen/127724#127724Comment by bo.gubo.gu2013-04-17T22:24:05Z2013-04-17T22:24:05ZThank you very muchhttp://mathoverflow.net/questions/125861/f3-f2-are-the-cube-and-quadratic-of-f-respectively-and-both-infinite-differenComment by bo.gubo.gu2013-03-29T00:27:02Z2013-03-29T00:27:02Z@Misha,f^2 means the square of fhttp://mathoverflow.net/questions/114227/a-problem-about-field-extension/114231#114231Comment by bo.gubo.gu2012-11-23T10:37:39Z2012-11-23T10:37:39ZO,I am a freshman in this website.Lots of thing need to learn.http://mathoverflow.net/questions/105067/how-to-partition-a-quadrilateral-into-a-finite-number-of-equal-area-triangles/105069#105069Comment by bo.gubo.gu2012-08-20T02:41:31Z2012-08-20T02:41:31Zthank you very much http://mathoverflow.net/questions/88505/occupational-diseases-of-mathematiciansComment by bo.gubo.gu2012-02-15T10:38:35Z2012-02-15T10:38:35ZDear Asaf Karagila,I am sorry . but since lots of famous set theorist,for example Cantor,Godel,were getted this ill ,I fill set theorists should encountered this problem more probably http://mathoverflow.net/questions/85393/an-ordinary-differential-equationComment by bo.gubo.gu2012-01-11T08:19:02Z2012-01-11T08:19:02ZA friend asked me, the origin of it ,I donot know