Why doesn't it called like that? It seems fair, $1$ called $1$ while $0.999$... being the largest number before $1$, and not called $1$ while not look like it is. Let's say it isn't, how would that number look like?
I'm told by smart people that $$0.999999999\ldots=1$$ and I believe them, but is there a proof that explains why this is?
Looking for help with a proof that n-th derivative of $e^\frac{-1}{x^2} = 0$ for $x=0$. Given the function   $$ f(x) = \left\{\begin{array}{cc} e^{- \frac{1}{x^2}} &amp; x \neq 0 \\ 0 &amp; x = 0 \end{array}\right. $$  show that $\forall_{n\in \Bbb N} f^{(n)}(0) = 0$.  So I have to show that nth derivative is always equal to zero $0$. Now I guess that it is about finding some dependencies between the previous and next differential but I have yet to notice one. Could you be so kind to help me with that?  Thanks in advance! Why is it not possible to overload class templates? Example of mailmerge package with an Excel spreadsheet I am looking for an example for using the  package to write a cover letter, with names and addresses on a spreadsheet. The package comes with an example, but you have to manually enter all the data. Can we get notification in the tab (change of title)? I'm usually running many different StackExchange sites in Firefox using tabs (using ReloadEvery to update every 5 minutes).  Right now to check for activity, I have to manually click on the tab to see if the envelope is lighted.  How about making the icon on the tab i.e. the title text change in some way, denoting that you have activity on the page?  We already add a message count for the chat tabs, so this shouldn't be very complicated.  Possible Example: Digitizing Free Satellite Imagery in QGIS without getting Alignment issues with Openlayers Plugin What is the word for when someone is overly nice and actually isn't nice at all? What is the word for when someone is overly nice and actually isn't nice at all because of the unnecessary added information/comments? For example, they will say things like "Your hair looks so good that wayyyy omg you should do it that way ALL the time! Looks way better than how you usually do it." And the word I'm looking for is not passive aggressive and it is not sarcasm. There is a word for these types of people. What is it? These people think they're being kind but actually blunt and rude. Another example would be for someone to say "hey you're beautiful, but maybe if you didn't wear harsh makeup you would look better" and they intend to sound like they're being nice when you know they don't like you and are saying in out of spite. What is "it" in the following sentence: It is clear that Bob likes doughnuts I am very confused. Unless I am mistaken, I know "it" has to be a noun of some sort, but I am unable to figure out what noun "it" is referring to.   What is "it" in the following sentence:      It is clear that Bob likes doughnuts.   Heres another couple of examples:     It is impossible to fly. How can I separate a separable function How to start a GUI application from cron? What is average distance from center of square to some point? View my questions with unaccepted answers 70s UK science fiction TV show with time travel and telepathic cat I'm trying to identify a science fiction series on UK TV during the 70s, but I can only recall the following:   A party of adults and children. There was a woman with a telepathic bond to her cat: she could look into its eyes to see what it had seen. Time travel was involved. I think it may have been inadvertent or uncontrolled time travel. On one occasion the party encountered an Elizabethan seaman who demanded to know if Elizabeth was still queen. They party replied "err... yes" because they didn't want to have to explain time travel. My Developer Account cannot be activated because I used a relative's credit card Dynamically Adding/Removing CSS in Nested Div Find $\lim_{n \to \infty} \left[\frac{(n+1)^{n + 1}}{n^n} - \frac{n^{n}}{(n-1)^{n-1}} \right]$ (a question asked at trivia) list all suggested packages for currently installed packages I have a question about the pattern "turn &lt;something&gt; on &lt;somebody&gt;" :     Then he allegedly turned the body-building equipment on his 44 year-old wife, identified by sources as Feng Liang, and his elderly mother-in-law, Feng Kun Zaehng,77, the sources said.     I understand the phrase "*turn the gun on &lt;somebody&gt;", am not sure about "turn the equipment on &lt;somebody&gt;".  Could the example be wrong? Can anyone please help me with my problem regarding my WordPress left hand side admin menu. I want it collapsed at all times, how do I do that?  Well, I'm creating a WP Multisite so I want that menu bar to be always collapsed at all times.  Any help would be appreciated. Looking for code or if plugin exists, should be fine, too. Thanks. Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite? Because of past conflicts, I don't believe my advisor will write me a good LOR for postdoc positions. What should I do? How essential is having my advisor's letter for post doc application?   I had a pretty bad relationship with my advisor for more than 4 years since I joined his lab and sometimes the relationship feels like slow inflammation that can easily flare up. We had very different opinion on how I want to approach my thesis and we argue very often on the experimental approach and the angle of attack. After that, he turned passive aggressive and completely hands-off. I noticed that he started slow to response to my email and given me very small amount time for meeting in comparison to other people in the lab. However, I proved to him that my approach was right and wrote the full paper myself and got published.   Recently, I got contact by a post doc employer who interested in my own work and request letter of recommendation. I asked my advisor for letter and he told me that I should write my own from which he can modify. I feel this is quite strange as he had wrote for all the other people in the lab, including a departing post doc who is currently interviewing for job. He told me he had done the same for other people but obviously he lied to me.   I further asked if he can provide me a copy of a completed version of the recommendation but he refused.   My question is should I still trust him to write my letter and is it essential? This post doc position is a great opportunity for me and either way I do is a big gamble.  Update: I decided to let my advisor wrote a letter for me and I think I may have made a big mistake. Since he wrote my letter, I asked the post doc lab head if my letter is completed and I no longer be able to hear back from him. Before that, he was quick to response to my email and showed great enthusiasm. As an insurance, I use one opportunity I have less desire to as bait to test the water and I still have one more shot at another position I really want.  Now, I'm thinking requesting open letter from advisor from now on for any future position or use letter service to check the letter.   Any suggestion? Thanks.  update: Great news! Got interviewed and offered at top ones! Thanks everyone!