Calculating Hit Points past Level 1
Is Con modifier × level added to HP every level-up?
After beating the final boss, can I return to the original castle? If $f$ is continuous on $[a,b]$, $f(x)≥0$ on $[a,b]$ and $$\int_{a}^{b} f(x) =0$$   then prove that $f(x)=0$ for all $x \in [a,b]$.  I tried with Riemann's definite integral definition but couldn't proceed how to avoid number repeation by using random class in c#? When performing apt-get update, I get the following error:   root@ADS3-Debian6:/home/aluno# apt-get update Atingido http://sft.if.usp.br squeeze Release.gpg Ign http://sft.if.usp.br/debian/ squeeze/contrib Translation-en Ign http://sft.if.usp.br/debian/ squeeze/contrib Translation-pt Ign http://sft.if.usp.br/debian/ squeeze/contrib Translation-pt_BR   (...)  Obter:10 http://security.debian.org squeeze/updates/non-free i386 Packages [14 B] Baixados 612 kB em 4s (125 kB/s)                     Lendo listas de pacotes... Pronto There is no public key available for the following key IDs: 8B48AD6246925553 Sometimes I see a comma after the proper name:     Hello Mr. Black,      In order to give you....   But my native language is not English and I think that the comma in this phrase should be placed before the proper name:      Hello, Mr. Black.      In order to give you....   What is the correct punctuation in English? First of all, am I being crazy in thinking that if $\lambda$ is an eigenvalue of $AB$, where $A$ and $B$ are both $N \times N$ matrices (not necessarily invertible), then $\lambda$ is also an eigenvalue of $BA$?  If it's not true, then under what conditions is it true or not true?  If it is true, can anyone point me to a citation?  I couldn't find it in a quick perusal of Horn &amp; Johnson.  I have seen a couple proofs that the characteristic polynomial of $AB$ is equal to the characteristic polynomial of $BA$, but none with any citations.  A trivial proof would be OK, but a citation is better. Yesterday I read Modern English:A Practical Reference Guide written by Marcella Frank, and she gives a paradigm about tenses on page 50. The page shows tenses in active voice and passive voice; she said these four tenses are exceedingly rare:   shall/will be being offered has/have been being offered had been being offered shall/will have been being offered   Why are these tense so rare? Are they normally replaced by other tenses? Complete references in between the document When we do   \bibliographystyle{style} \bibliography{References.bib}   We get all the references at the end of the document, with some kind of reference/id in the document.   What I need is the complete reference in the document itself (not at the end) and then to be able to write what I want below this reference. For example;  Chaminade, T., Hodgins, J., &amp; Kawato, M. (2007). "Anthropomorphism influences perception of computer-animated characters' actions." Social Cognitive and Affective Neuroscience 2(3): 206-216      - Some text..........      - Some more text.......  Cowley, S. J., Kanda, T. (2005). "Friendly machines: interaction-oriented robots today and tomorrow." Alternation 12(1a): 79-106.      - Some text.....      - Some more text....   How can I do it? Thanks. I know that its is the possessive and it's is the contraction, and know when to use them.  But why doesn't the possessive have an apostrophe?   "The bear's eating a fish." [contraction] "The bear's coat is brown." [possessive] "It's eating a fish." [contraction] "Its coat is brown." [possessive] "One's eating a fish." [contraction] "One's coat is brown." [possessive]    lists the etymology as "From  +‎ ", and  says that this is actually the original form:     Originally written it's, and still deliberately spelled thus by some writers until early 1800s.   So what happened to the apostrophe?  When did people stop using it, and why did they?  It seems that it's as the possessive is more natural, as most people do this until they're taught that it is wrong (or even after).  Update: Online Etymology Dictionary has been updated to include two potential explanations:     The apostrophe came to be omitted, perhaps because it's already was established as a contraction of it is, or by general habit of omitting apostrophes in personal pronouns (hers, yours, theirs, etc.).   Can anyone back up either of these arguments?  The possessive one's still has the apostrophe, despite these. What is ISCAS85 benchmark? What is ISCAS85 benchmark? I find it in a , is there any simulator for it? How to compress / reduce the size of JPEG photos for archiving? I have 50,000 high resolution JPEG photos, where a couple of them might occasionally be needed, about once a year.  I wanted to zip them to save disk space, except that zipping gives no space benefit - so trying to reduce the images disk usage using winzip, winrar or 7zip was not successful.  Is there any software or algorithm similar to zip to compress image size on hard disk for storage without loosing any image information? (This question is meant to be a resource to direct others to given that this is a common question.)  Given the task of creating an image that will be printed at a certain size, what pixel dimensions and resolution should I be setting my file at? I don't want to use the Super for that, I want to use Alt+Space instead. Computing limit of $(1+1/n)^{n^2}$ MPI Get Processor with Minimum value Which $n$ can be expressed as $x^2 − y^2$? Which $n$ can be expressed as $x^2 − y^2$?  Attempt: Any number which is odd or or which is a multiple of 4. javax.persistence.PersistenceException : [PersistenceUnit: vodPersistenceUnit] class or package not found How does a half-life work? Carbon-14 has a half-life of 5,730 years.  That means that after 5,730 years, half of that sample decays.  After another 5,730 years, a quarter of the original sample decays (and the cycle goes on and on, and one could use virtually any radioactive isotope).  Why is this so?  Logically, shouldn't it take 2,865 years for the quarter to decay, rather than 5,730? Floating sidebar can get too long and obscure footer Cannot change lock screen background on Ubuntu 18.04 Before you mark the question as a duplicate, I read all of the posts regarding this, but nothing helped me. I'd like to change the background picture of the lock screen.    I changed the ubuntu.css and gdm3.css accordingly to   #lockDialogGroup {   background: #000000 url(file:///usr/share/wallpapers/minimalistic-gray_00323985.jpg);   background-repeat: no-repeat;   background-size: cover;   background-position: center; }   Which results in a change of the Background of the log in screen, not the lock screen. When I press super + L the screen containing time has the correct background. When I swipe it up to tipe in my password, the purple Ubuntu screen still appears. If I click to change the user, the log in screen appears with the right background. I have the same background picture enabled in gnome tweaks for desktop background and lock screen.   I'm running Ubuntu 18.04 GNOME on a TuXedo Laptop. And I use Communitheme - maybe thats the problem?  Any ideas why it doesn't work? (I rebooted multiple times, so that's not the problem.)  EDIT: The output of sudo nano /usr/share/gnome-shell/modes/ubuntu.json is  {     "parentMode": "user",     "stylesheetName": "ubuntu.css",     "enabledExtensions": ["ubuntu-dock@ubuntu.com", "ubuntu-appindicators@ubuntu.com"] }