Comma before the word "as"
Is there a comma needed before quotation?
8 AWG solid EGC in raceway for 100 amp subpanel I'm adding a 100 amp subpanel to my detached garage and have a question about the EGC I've already pulled through the underground LFNC-B raceway. Taking the advice from a similar post on this forum, I decided to use a 8 AWG bare solid copper conductor for my EGC in the underground raceway back to the main house. The other 3 conductors are 3 AWG THWN-2 stranded copper. I did double check the NEC tables to ensure these were appropriately sized for the underground feed portion of my run and ensured the conduit fill was less than 40%. What I failed to realize though (until after I won the good battle of pulling this set though the raceway) was that there is a section in the NEC that prohibits the use of solid conductors 8 AWG or larger in raceways: &quot;310.3 Stranded Conductors. Where installed in raceways, conductors of size 8 AWG and larger shall be stranded.&quot; Dangit! Now I'm questioning why I didn't just use insulated green THWN-2 - it would have made my pull much easier! Rookie mistake. So how bad have I goofed up here? Let's say the inspector fails to call this out. Is this a safety issue? What's the rationale for the rule anyways? To prevent numskulls like myself from trying to pull larger gauge solid wire through a raceway and possibly damaging the other conductors? Or is there more to it? Interestingly, there seem to be several exceptions in the NEC that do allow for using 8 AWG solid EGC in raceways (690.46 for Array Equipment Grounding Conductors for example). I'm just trying to get a feel for the severity of this goof-up and if it's worth fixing if not required by the inspector. Any feedback from the experts would be much appreciated! BasicTeX - how to identify packages that need to be added after an upgrade I'm using the BasicTeX distribution on OS X and recently upgrade from the 2011 to the 2012 distribution. This forces me to add the packages that I had added over time to the BasixTeX 2011 installation by pulling them from the online repository with tlmgr. Is there a good way to list these packages that are not part of BasicTeX but are part of the complete TeXLive? Accessing the web page's HTTP Headers in JavaScript How to find the sum $$\sum^n_{k=1} (k^2+k+1)k!$$  What I tried as follows :   $$\sum^n_{k=1} (k^2+k+1)k!$$  =$$\sum^n_{k=1} (k^2)k!+ \sum^n_{k=1} (k)k! + \sum^n_{k=1} (1)k!$$  Now we can write $\sum^n_{k=1} (k^2) $ as $$\frac{n(n+1)(2n+1)}{6}$$ but what to do with $k!$ please guide thanks....... When I have these facts,   French coins were not found in the ruin. German coins were not found in the ruin.   which of these sentences are grammatically correct?  1.     No French and German coins were found in the ruin.   2.     No French or German coins were found in the ruin.   3.     No french nor German coins were found in the ruin.   I think 1 is correct but I'm not sure.  By the way, I can also say     Neither German nor French coins were found in the ruin.   Also, when you have an additional fact   Italian coins were not found in the ruin   which of these statements are grammatically correct?  1.     No French, German and Italian coins were found in the ruin.   2.     No French, German or Italian coins were found in the ruin.   3.     None of French, German and Italian coins were found in the ruin.   4.     None of French, German or Italian coins were found in the ruin.   Thanks, If $(\log_4 x)^2= (\log_2 x)(\log_a x)$ (the $4$ is the little number next to log by the way) , find the value of $a$. Unable to shrink transaction log file in SQL Server I moved to a new company recently wherein they have 2 databases in a SQL server of size 20-25 GB. I'm unable to shrink the log file of the databases. Transaction log backup of the databases are set to run every 30 mins from 6 AM-7PM. They are of size 10 and 2 Gb respectively. I tried to shrink it around 8-9 PM last night but I was not able to do.  The log_reuse_wait column stated it's waiting on a log_backup. I tried taking couple of log backups which didn't help. I ran DBCC OPENTRAN but there are no open transactions.  Also, this morning even after the Tlog backups started at 6:00 AM till now(10:30) it still shows LOG_BACKUP in log_reuse_wait column. And no OPEN TRAN as well.  When I researched on this I found this article from Paul Randal:   It states that if the DB is small and all the content of tlog file is in same VLF it couldn't truncate. I have some 300-400 VLFs in the Databases. So that doesn't make sense here as well.   One thing I noticed that every morning at 6 AM the tlog is a little bigger than the other ones. So I'm thinking to check with the lead DBA to run tlog round the clock. Other than that, I would like to see why is this happening and Am i missing anything.  I tried to shrink with the below command:  Use DB1 go DBCC SHRINKFILE(2,10)  GO   Note: It's SQL 2012 instance running 0n 2012 compatibility Why can't a union of two intervals be the maximum existence interval of a solution? Assume the IVP $$ x'=x^2, \quad x(0)=1 $$ By separating the variables and using the initial condition $$ x(t)=(1-t)^{-1} $$ Then, my book states that since $x_0=1&gt;0$ then the solution can only be extended to the left with maximum existence interval $\, I=(-\infty,1)$.   My question is, since the solution $x(t)$ we found is defined for every $t\neq1$, why isn't the maximum interval of its existence $I^*=(-\infty,1)\cup(1,+\infty)$? Why does it depend on the sign of $x_0$? As the title says: Is a 1st-level spell cast using a 4th-level slot a 1st-level spell, or a 4th-level spell? I am writing out some parameters to JSON files using pythontex, but would like to add context information in form of section numbers (for example \thesection or \thesubsubsection, perhaps also the page number or other counters).  Is there a straightforward way to pass the values of the section counters to Python?   Josef monitor files (à la tail -f) in an entire directory (even new ones) Java: Detect duplicates in ArrayList? How could I go about detecting (returning true/false) whether an ArrayList contains more than one of the same element in Java?  Many thanks, Terry  Edit Forgot to mention that I am not looking to compare "Blocks" with each other but their integer values. Each "block" has an int and this is what makes them different. I find the int of a particular Block by calling a method named "getNum" (e.g. table1[0][2].getNum(); Why was Sam Wilson chosen for this, but not Bucky? At the end of the Avengers: Endgame movie,      old Steve Rogers passed down his mantle of Captain America   to Sam Wilson.  Why didn't he choose Bucky for this? Bucky seems more fit for the job as he is a super soldier. Find a recurrence relation for the number of $n$-digit binary sequences with no pair of consecutive $1$s.  I know my base case:$$a_1 = 2$$ for either $1$ or $0$. Normally to construct the recurrent relation I would say fill in $n-1$ spaces then add a $1$ or $0$, which is simply:$$a_n = 2\cdot a_{n-1}$$However, I don't believe this is right, because this doesn't take into account that there can't be any consecutive $1$s.  Even when I use the base case of $2$ digits:$$a_2 = 3$$for either $01$, $10$, or $00$, I still get the recurrence relation of:$$a_n = 3\cdot a_{n-2}$$which also does not account for $01$ and $10$ occurring consecutively.   So how would I express this? Let $M_n$ denote the vector space of all $n\times n$ real valued matrices and for any matrix $A\in M_n$ let $A^t$ denote its transpose. Define the linear map $T:M_n\rightarrow M_n$ as $$T(A)=A+A^t.$$ What is the minimal polynomial of $T$? What are the eigenvalues and the corresponding eigenspaces of $T$? What is the characteristic polynomial of $T$?  I learned about minimal polynomials of operators from $\textit{Linear Algebra Done Right}$ by Axler. In his description he explains how in order to find the minimal polynomial you must find the smallest positive integer $m$ such that $T^m$ is a linear combination of $I, T, T^2, \ldots, T^{m-1}$. That is, the smallest integer $m$ such that $$T^m = a_0I+a_1T+a_2T^2+ \cdots +a_{m-1}T^{m-1}.$$  As for the eigenvalues...since we are working with real-valued matrices, then $A$ and $A^t$ have the same eigenvalues, so if $\lambda \in \mathbb{R}$ is an eigenvalue of $A$ (and hence of $A^t$) wouldn't $2\lambda$ be an eigenvalue of $A+A^t$? I apologize if I am saying utter nonsense... I was just looking at the statistics for migrated questions in the  mod tools, and noticed this oddity:    The actual statistics, as visible to any 10k+ SFF user , are: 6 migrated to Worldbuilding, 2 to Literature, 2 to SFF meta, 1 to Movies &amp; TV, 1 to Writers, and 1 to Aviation.  Why is one of the meta migrations showing up with a blank icon rather than with the other?  Both migrated questions were closed as duplicates on meta. Both were migrated by 5 community members without mod involvement. One of the stubs on main has since been deleted, but so have the stubs for some of the other migrated questions. I can't think of anything to explain this discrepancy. What is the value of $\arctan(1/2)+\arctan(1/5)+\arctan(1/8)$? Why does WCF return myObject[] instead of List like I was expecting? I use youtube-dl to download videos for watching later offline. Usually, it works fine. However, due to frequent changes on the video sites, it sometimes requires a quick update. It wasn't a problem before on 13.04 but after upgrading to 13.10, I get  # youtube-dl -U It looks like you installed youtube-dl with a package manager, pip, setup.py or a tarball. Please use that to update.   I tried updating it via apt-get but there is no new package. So the app's update mechanism has been disabled and the maintainers aren't keeping up, what is the solution? How do I update it?  And why was it changed at all? It was updating a package manager version just fine in raring.   I'm already running into compatibility problems.   $ youtube-dl "http://vimeo.com/55784152" [vimeo] 55784152: Downloading webpage [vimeo] 55784152: Extracting information ERROR: Unable to extract info section; please report this issue on https://yt-dl.org/bug . Be sure to call youtube-dl with the --verbose flag and include its complete output. Make sure you are using the latest version; type  youtube-dl -U  to update.   QUICK UPDATE:  As requested,  # type youtube-dl youtube-dl is hashed (/usr/bin/youtube-dl)  # apt-cache policy youtube-dl youtube-dl:   Installed: 2013.08.29-1   Candidate: 2013.08.29-1   Version table:  *** 2013.08.29-1 0         500 http://pl.archive.ubuntu.com/ubuntu/ saucy/universe amd64 Packages         100 /var/lib/dpkg/status I am a EE grad. student who has had one undergraduate course in real analysis (which was pretty much the only pure math course that I have ever done). I would like to do a self study of some basic functional analysis so that I can be better prepared to take a graduate course in that material in my university. I plan to do that next fall so I do have some time to work through a book fully. Could some one recommend some good books to start working on this?   Thanks in advance