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Contour method to solve $\int^\infty_0\frac{\ln(1+x)}{1+x^2}\,dx$ using underscore's “difference” method on arrays of objects Why doesn't the T-800 run? I just re-watched the first two films in the Terminator series. The T1000 (Robert Patrick) does a lot of running, and is quite fast.  I didn't see many scenes where the T800 (Arnie) ran. Is it because he's really heavy? Is he mainly designed as a heavy "stand your ground" machine?  The only scene I could see him running is in T2 in the mental hostpital where the T1000 morphs through the metal gate and his gun gets caught. Then the T800 does a little jog to get into the elevator following John and Sarah. (anybody know of any other running/jogging scenes?) (EDIT Arnie also breaks into a run while pursuing Reece and Sarah down the alley after the NOIR nightclub attack.)  If he can at least jog though, why wouldn't he do this throughout the entire film? You would think that from a "chance of survival" point of view, if he could get a John even the slightest bit faster then he'd do so.  Of course, maybe I am overthinking this... Arnie walking around slowly is a lot more badass than Arnie jogging around.  Edit: Just watched T3 again, the T800 also ran towards the end when the big hangar door was closing and he ran over to slow it down. Interested in other examples of the T800 running too. Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$ Understanding the definition of the order of an entire function in Ahlfors's Complex Analysis Let $f: \mathbb C \to \mathbb C$ be an entire function. The order of $f$ is defined by $$\lambda=\limsup_{r \to \infty} \frac{\log \log M(r)}{\log r}, $$ where $$M(r)=\max_{|z|=r} |f(z)| .$$  Ahlfors in his Complex Analysis claims that     "According to this definition $\lambda$ is the smallest number such that       $$M(r)\leq e^{r^{\lambda+\varepsilon}} $$ for any given $\varepsilon &gt; 0$ as soon as $r$ is sufficiently large."   Why is this true?  My attempt:  We know that $$\lambda=\lim_{\rho \to \infty} \sup_{r \geq \rho} \frac{\log \log M(r)}{\log r}. $$  From the definition of the limit we have that for any $\varepsilon&gt;0$, there exists some $\rho_0&gt;0$, such that $$\left\lvert \sup_{r \geq \rho} \frac{\log \log M(r)}{\log r}-\lambda \right\rvert \leq \varepsilon ,$$ for every $\rho \geq \rho_0$. In other words $$\frac{\log \log M(r)}{\log r} \leq \lambda+\varepsilon $$ for every $r \geq \rho_0$. From here it is easy to see that $$M(r)\leq e^{r^{\lambda+\varepsilon}}, $$ for all $r \geq \rho_0$. I cannot see why $\lambda$ is the smallest number with this property.  Thanks in advance. Prove that: $2^a+3^b<3a+4b$ Why do we say the following?        I'll have an hour's wait at the airport      Today's lesson      Yesterday's programme    Two weeks' worth of groceries.      They are not possessive, or are they? Why is the possessive apostrophe used with time expressions and adverbs? Can I choose to delay my turn in combat? In D&amp;D 4e there was an option to Delay your initiative:     Perform your actions as desired and adjust your initiative to your new   position in the order.   Does this rule to change initiative order still exist in 5th edition? I cannot find it in the PHB. Primes dividing $11, 111, 1111, ...$ Definition of textbook RSA What is the definition of textbook or "raw" RSA?  What are some of the properties of textbook RSA?  How does it differ from other schemes based on RSA? I often get an error saying      unable to update ICE authority.    Is there a way out of this? How can I display only the unique values in one column in Excel? Is there a way to display the unique values in a column ONLY?  Example:   AAPL AAPL AAPL AAPL AKAM AMZN AMZN AMZN AMZN AMZN AMZN  Expected result:   AAPL AKAM AMZN  I have already done a sort for multiple factors, and the first match for each is the best match.  I'm not sure if this is a vlookup or something else. Drop In Reputation - But No Record Of Why? Why L1 norm for sparse models How to understand pipes When I just used pipe in bash, I didn't think more about this. But when I read some C code example using system call pipe() together with fork(), I wonder how to understand pipes, including both anonymous pipes and named pipes.  It is often heard that "everything in Linux/Unix is a file". I wonder if a pipe is actually a file so that one part it connects writes to the pipe file, and the other part reads from the pipe file? If yes, where is the pipe file  for an anonymous pipe created? In /tmp, /dev, or ...?   However, from examples of named pipes, I also learned that using pipes has space and time performance advantage over explicitly using temporary files, probably because there are no files involved in implementation of pipes. Also pipes seem not store data as files do. So I doubt a pipe is actually a file. How to concatenate multiple lines of output to one line? \varepsilon vs. \epsilon 'longtable' caption without incrementing 'table'? For reasons both complex and confusing, I would like to caption a longtable without incrementing the table counter in the process.  I want to have two consecutive longtable environments to be captioned with identical table numbers; i.e. one longtable captioned "Table x.y: Data Set (Part A)" and one captioned "Table x.y: Data Set (Part B)", with x.y being identical for both tables.  Apparently however, even \caption*{} command bumps table. I am a bit at a loss here.  Note: I know that the xtab package would enable me to have one long table with switches of headers and captions mid-table. However I got a (different) problem with that package, akin to  but sadly not solved by egreg's answer there; so this question should be considered longtable-only as xtab, supertabular etc. don't float my boat right now. :-( What is the difference between $Q=\Delta U+W$ and $\Delta U=Q+W$? I updated LyX to 2.3.0-1, and found that LyX was displaying all the "-" characters in Math Mode as "\lyxminus". No such problem occurs when entering outside of Math Mode. LyX also seems to have no problem compiling to TeX, and the PDF output looks normal.  I removed and re-installed LyX, and this issue was still there.   Does anyone have any ideas on what might be going on? I am using Linux Mint 18.2 Sonya.  Note: I previously saw this question ask about the same thing, but the author appears to have deleted their post: