Partial Fraction Decomposition When Denominator Has an Irreducible Factor of Degree 2
Partial Fraction Decomposition?
What's the full-form & significance of USS & ISS prefixes in name of Star Trek starships? In the Star Trek normal universe, almost all of Starfleet's starships were named with the prefix USS: Count from . Some popular ones: USS Enterprise - series, USS Stargazer, USS Exeter, USS Defiant, USS Excelsior, USS Voyager, USS Titan, USS Reliant, USS Equinox, USS Grissom, USS Relativity, etc.  In the mirror universe, Starfleet's starships were named with the prefix ISS. We don't have a big list, but we do see these: ISS Enterprise NX-01, ISS Enterprise NCC-1701, ISS Avenger.  What's the full form of USS &amp; ISS in Star Trek canon?  In the real world, the US Navy uses USS in ship names, which is reasonable as "United States Ship", but why is it used in Star Trek canon (in which there's no US to control starships)?  In the mirror universe, USS is replaced with ISS. Why? Does ISS have a meaning opposite from that of USS? calculating mean of a random variable raised to a power How can I get out of the debt-trap as quickly as possible? I have a credit card with 30% interest and a real estate loan with 11% interest. The amount of debt on my card is lower than the real estate loan.   I want to redeem the installments of the real estate loan, but I can't do it because the credit card debt takes all my money.    What can I do in this situation? How can I get out of the debt-trap as quickly as possible?   I have a 4-room house and 2 cars, and 2 children who have to go to school, that's why there are a lot of fix expenses. How to know the partition where grub is installed I am Dual Booting Maverick with Natty. I want to know which partition has Grub installed.   I want to make sure that grub is installed in the maverick partition not in natty, so that when I remove the natty partition, I don't have booting problem in the absence of grub.  On maverick there is no menu.list file in /boot/grub but natty has one.  Here is the output of fdisk -l  gaurav@gaurav-desktop:~/Desktop$ sudo fdisk -l  Disk /dev/sda: 320.1 GB, 320072933376 bytes 255 heads, 63 sectors/track, 38913 cylinders Units = cylinders of 16065 * 512 = 8225280 bytes Sector size (logical/physical): 512 bytes / 512 bytes I/O size (minimum/optimal): 512 bytes / 512 bytes Disk identifier: 0x9cdb9cdb     Device Boot      Start         End      Blocks   Id  System /dev/sda1   *           1        7295    58592773+  83  Linux /dev/sda2            7295       25475   146033664   83  Linux Partition 2 does not end on cylinder boundary. /dev/sda3           25476       32194    53970367+  83  Linux /dev/sda4           32195       35483    26414081    5  Extended /dev/sda5           32195       32444     1999872   82  Linux swap / Solaris /dev/sda6           32444       35483    24413184   83  Linux gaurav@gaurav-desktop:~/Desktop$ I am currently trying to develop my modeling skills, and following a tutorial found on YouTube. The tutorial teaches how to create an anvil. At 19:10 or so into the video, a subdivision surface modifier is used to create a smooth, soft look.  However, when I do the same, mine looks very sharp and generally bad.  Any ideas why? I will include the blend file below, I appreciate your time and suggestions.    This is his when he subdivides, which is very different from mine when I do the same at the same settings. (I cannot post more pictures because I am new, but if you check the blend file I attached, you should be able to see the difference.   This is what it looks like when I subsurf without the base face. On June 28, 2017, Apple  that     macOS High Sierra will be the last macOS release to support 32-bit apps without compromise.   How can I find out which apps on my Mac are 32-bit so that I can see if I need to upgrade them? Prove $$\int _0^\infty f^2(x) dx \leq \frac{2}{3}\cdot  \max_{x \in \mathbb R^+} f(x) \cdot  \int _0^\infty f(x) dx$$ for $f(x) \geq 0$ and convex.   I know via Holder's we can get without the constant $\frac{2}{3}$ but that should also be true for $f$ not convex. I tried some approaches using convexity but didn't get the desired result.   A hint or reference would also help. Also, it would be interesting to know when equality holds. Vertically align text next to an image? Why won't vertical-align: middle work?  And yet, vertical-align: top does work.   span{   vertical-align: middle; } &lt;div&gt;   &lt;img src="https://via.placeholder.com/30" alt="small img" /&gt;   &lt;span&gt;Doesn't work.&lt;/span&gt; &lt;/div&gt; Voldemort couldn't kill Harry as long as he called the Dursleys home. Why didn't he just murder the Dursleys? This would prevent Harry from being able to live there. How can I make a camera the active one? Is there animation software available? Is there commercial-grade computer animation software available for Ubuntu, similar to the professional software sold for the Windows operating system?  This question goes out to those of you who may be using such software professionally.  My daughter recently graduated from the Art Institute of Seattle, and needs to put together an animation portfolio in order to interest employers in the field.  As you know, such software is usually provided by the employer and the costs are high - several thousand dollars.  I suggested that she investigate Ubuntu as a possible way to acquire the tools she needs.  But, since I have no idea what might be available, either as open source or proprietary animation software, I am reaching out to the Ubuntu community for help in the hope someone who is using such software can help her.  Thank you for reading this post, and for any information you might have. I accidentally opened too many menus (or windows) and I want to reset them to default.  It is really annoying, and effecting my animation.  Thanks Octal number literals: When? Why? Ever? I have never used octal numbers in my code nor come across any code that used it (hexadecimal and bit twiddling notwithstanding).  I started programming in C/C++ about 1994 so maybe I'm too young for this? Does older code use octal? C includes support for these by prepending a 0, but where is the code that uses these base 8 number literals? Word for a temporary project name In software development, and I imagine in many other fields, we often make up temporary nicknames for new projects or features. These are not meant to be the real names for the end product and are often funny, playful, or sarcastic in nature. These are also not intended to be "codenames" that hide the nature of the project or feature. Is there a word for such nicknames? How to understand linux versioning I need to understand the Linux versioning system and distribution concepts. what are public, stable or final terms for versions? I am confused by the orientation of a topological manifold. My understanding is: An orientation of a topological manifold is a choice of generator of the $H^n(M,\mathbb Z)$. So given a manifold, we could have 2 orientation defined on the manifold. For $\mathbb{CP}^2$ on orientation is determined by the complex structure, the other orientation is denoted by $\overline{\mathbb{CP}}^2$. And it is well known that there is no orientation reversing map from $\mathbb{CP}^2$ to itself.  My question is: are they homeomorphic? I guess they are not homeomorphic. But I am confuesed, doesn't the orientations defined on the same manifold, how come after reversing the orientation they become not homeomorphic? What happens to options held during a reverse stock split? I held 1 put option for 100 shares of USO that expires on May 8. Yesterday, USO underwent an 8:1 reverse stock split. My options are now for USO1 instead of USO, but what does that mean?  The strike price hasn't changed, so does that mean that my option will expire worthless as it's unlikely the stock will drop (significantly) to back below the strike price? I have a spreadsheet full of addresses to geocode in ArcMap 10.  I've added the spreadsheet to the map, then started to geocode them via the context menu's "Geocode addresses" item.  Many were matched automatically, and most of the unmatched I've been able to resolve within the Interactive Rematch dialog. But I have a handful of addresses where I get no result at all.  I can, however, locate these points on Google Maps, and I can get the latitude and longitude that way.  How can I enter that data into the table to locate the missing points?  I have tried editing the data and putting the lat/lon values into the X and Y columns, (via Edit Features -> Start Editing, then Open Attribute Table on the context menu).  But when I Flash the point, I don't see it.  The lat &amp; lon are consistent with the other data points on the map (i.e., not swapped, and using the correct sign).  How can I add the points to the table? Add a dependency in Maven List of IP addresses/hostnames from local network in Python How can I get a list of the IP addresses or host names from a local network easily in Python?  It would be best if it was multi-platform, but it needs to work on Mac OS X first, then others follow.  Edit: By local I mean all active addresses within a local network, such as 192.168.xxx.xxx.  So, if the IP address of my computer (within the local network) is 192.168.1.1, and I have three other connected computers, I would want it to return the IP addresses 192.168.1.2, 192.168.1.3, 192.168.1.4, and possibly their hostnames.