Happy New Year, everyone!
Sorry, there hasn’t been much activity on this blog over the past few months, but 2011 will be the year when you can expect a lot more stuff to be posted as I find more time to do so. Todd has been busy on other sites/blogs, especially MathOverflow and n-Category Cafe, but he is still an author/admin on this blog.
I got an email from WordPress, summarizing the level of activity on our blog for the year 2010. I thought it wouldn’t be so bad if I shared the information with you all.
2010 in review
The stats helper monkeys at WordPress.com mulled over how this blog did in 2010, and here’s a high level summary of its overall blog health:
The Blog-Health-o-Meterβ’ reads Wow.
Crunchy numbers
About 3 million people visit the Taj Mahal every year. This blog was viewed about 33,000 times in 2010. If it were the Taj Mahal, it would take about 4 days for that many people to see it.
In 2010, there were 2 new posts, growing the total archive of this blog to 122 posts.
The busiest day of the year was January 20th with 196 views. The most popular post that day was Continued fraction for e.
Where did they come from?
The top referring sites in 2010 were terrytao.wordpress.com, mathoverflow.net, en.wordpress.com, qchu.wordpress.com, and gilkalai.wordpress.com.
Some visitors came searching, mostly for imaginary numbers, platonic solids, euler’s formula, vertex, and challenging integrals.
Attractions in 2010
These are the posts and pages that got the most views in 2010.
Continued fraction for e August 2008
18 comments
Platonic Solids and Euler’s Formula for Polyhedra March 2008
10 comments
High IQ and Mathematics December 2007
Problem-Solving Hall of Fame! May 2008
5 comments
Integration Bee, Challenging Integrals January 2008
16 comments
Todd and Vishal's blog 
5 comments
Comments feed for this article
January 2, 2011 at 10:40 am
science and math
Nice!
Welcome 2011 and bye bye 2010.
Happy new year to vishal and todd.
March 22, 2016 at 3:49 am
Hari Adhikari Math
We are waiting for more posts from you π Your blog is a great resource for students and researchers and we need more of your posts π
January 25, 2017 at 9:48 pm
Christopher Alan Legg
Hey what is up sad math man, I am happy you are worthless in mathematics. Always learning things already heard never doing anything but dividing a devise. I hope some day you get a clue and learn you know knotting. Deleting a post, just like a liberal. You think math is your symbols language was the first math. Sad days when people go to class knowing they are making up new words to cover up their lackluster understand of real facts. Sorry, I like you not really… You choose to act instead of living. I posted all the time and answer questions in various operational fields on those site got a ton of points, and then some guy like you steps in before a rehash. Let me rephrase, can you actual build anything in the real world or only think of schemes that never pan out to a real person builds something and you are left as if you where never even dreamed up? Rhetorical question, join the military you might learn how real math works in using it to make real waves functions…
March 7, 2019 at 8:48 pm
prof dr mircea orasanu
in many situations must to call at founds of mathematics and at great mathematicians observed prof dr mircea orasanu and prof drd horia orasanu so followed because these suggest many aspects and around facts
May 14, 2019 at 7:43 pm
prof dr mircea orasanu
in these moment must continued to present important relations of HERMITE Polynomials observed by prof dr mircea orasanu and prof drd horia orasanu and followed that probabilists’ Hermite polynomials” are given by
H e n ( x ) = ( β 1 ) n e x 2 2 d n d x n e β x 2 2 = ( x β d d x ) n β 1 , {\displaystyle {\mathit {He}}_{n}(x)=(-1)^{n}e^{\frac {x^{2}}{2}}{\frac {d^{n}}{dx^{n}}}e^{-{\frac {x^{2}}{2}}}=\left(x-{\frac {d}{dx}}\right)^{n}\cdot 1,} {\displaystyle {\mathit {He}}_{n}(x)=(-1)^{n}e^{\frac {x^{2}}{2}}{\frac {d^{n}}{dx^{n}}}e^{-{\frac {x^{2}}{2}}}=\left(x-{\frac {d}{dx}}\right)^{n}\cdot 1,}
while the “physicists’ Hermite polynomials” are given by
H n ( x ) = ( β 1 ) n e x 2 d n d x n e β x 2 = ( 2 x β d d x ) n β 1. {\displaystyle H_{n}(x)=(-1)^{n}e^{x^{2}}{\frac {d^{n}}{dx^{n}}}e^{-x^{2}}=\left(2x-{\frac {d}{dx}}\right)^{n}\cdot 1.} {\displaystyle H_{n}(x)=(-1)^{n}e^{x^{2}}{\frac {d^{n}}{dx^{n}}}e^{-x^{2}}=\left(2x-{\frac {d}{dx}}\right)^{n}\cdot 1.}
These two definitions are not exactly identical; each is a rescaling of the other:
H n ( x ) = 2 n 2 H e n ( 2 x ) , H e n ( x ) = 2 β n 2 H n ( x 2 ) . {\displaystyle H_{n}(x)=2^{\frac {n}{2}}{\mathit {He}}_{n}\left({\sqrt {2}}\,x\right),\quad {\mathit {He}}_{n}(x)=2^{-{\frac {n}{2}}}H_{n}\left({\frac {x}{\sqrt {2}}}\right).} {\displaystyle H_{n}(x)=2^{\frac {n}{2}}{\mathit {He}}_{n}\left({\sqrt {2}}\,x\right),\quad {\mathit {He}}_{n}(x)=2^{-{\frac {n}{2}}}H_{n}\left({\frac {x}{\sqrt {2}}}\right).}
These are Hermite polynomial sequences of different variances; see the material on variances below.
The notation He and H is that used in the standard references.[5] The polynomials Hen are sometimes denoted by Hn, especially in probability theory, because
1 2 Ο e β x 2 2 {\displaystyle {\frac {1}{\sqrt {2\pi }}}e^{-{\frac {x^{2}}{2}}}} {\frac {1}{\sqrt {2\pi }}}e^{-{\frac {x^{2}}{2}}}
is the probability density function for the normal distribution with expected value 0 and standard deviation 1.