Can anyone suggest me a book to read about commutative algebra? I want a thorough investigation of the subject. Thanks.
Possible Duplicate:          I'm looking for a good book on commutative algebra covering most of (but not limited to) :   Basic Galois theory and Module algebra Primary decomposition of ideals Zariski topology Nullstellensatz, Hauptidealsatz Noether's normalization Ring extensions "Going up" and "Going down"   The emphasis is on the approach, as I would like a book giving a good geometric intuition of ring theory that I could use as a solid basis to start learning algebraic geometry.  All in all, do you remember a book that gave you a deeper geometric insight of commutative algebra ?
Java date format conversion - getting wrong month How is pressure an intensive coordinate? I am from Europe, and I did an internship in the US (California) in 2015. When filing my 2015 taxes, I ended up having to pay some small difference for the federal taxes, but got a refund on my state taxes, of roughly $1.6k. That was all the income I had in the US in 2016.  I did not enter the US in 2016 at all.  I managed to figure out that I don't need to file any California tax forms for 2016 (source: ) but I am not sure about federal taxes.  I tried researching the problem, and got some information on it, but the situation is still a bit unclear. It seems that since I listed my state tax as an itemized deduction in my 2015 tax report, which I filed in 2016, the state refund I got in 2016 is, in fact, taxable.  In this situation, would I have to file my taxes (and possibly pay owed tax) for 2016, even though I never set foot in the US in that year, and my total income is just $1.6k? Geometry of Riemann Stieltjes integration What is the geometrical interpretation of Riemann Stieltjes Integration ?   We know that for Riemaan integration $\int_{a}^b f(x)dx$ represents the area bounded by the curve $y=f(x)$&amp; the straight lines $x=a$ &amp; $x=b$.  But when we integrate $f(x)$ with respect to another function $g(x)$ then which area represents that integration geometrically ? In the definition of , I read the following text:     Many of the act's provisions were to sunset beginning December 31, 2005, approximately 4 years after its passage. In the months preceding the sunset date, supporters of the act pushed to make its sunsetting provisions permanent, while critics sought to revise various sections to enhance civil liberty protections. In July 2005, the U.S. Senate passed a reauthorization bill with substantial changes to several sections of the act, while the House reauthorization bill kept most of the act's original language. The two bills were then reconciled in a conference committee that was criticized by Senators from both the Republican and Democratic parties for ignoring civil liberty concerns.   What does sunset mean? In which cases can the word be used with a similar meaning? The Sharpshooter feat includes an interesting feature: you can choose to take -5 penalty to hit with a ranged weapon attack to increase its damage by 10. Normally, I'd dismiss the trade-off as too situational, but I've only just thought of combining it with the Archery fighting style (+2 to hit with ranged weapon attacks).  After building a sample character using these features, the end result looks quite effective. My questions are: Is this build valid? Have I interpreted the rules correctly? If so, how well does it compare against other damage-focused builds?  5th level variant Human Fighter:   Ability Scores (via point buy): Str 10, Dex 16, Con 16, Int 9, Wis 12, Cha 10 HP: 47, AC: 17 (or 18 with disadvantage on Stealth) Weapons: Hand Crossbow x 2 Fighting Style: Archery Martial Archetype: Battle Master (with the Precision Attack maneuver) Feat (variant Human): Crossbow Expert Feat (4th level ability score improvement): Sharpshooter   The end result is a fighter capable of hitting targets 120' away, behind 1/2 or 3/4 cover, or engaged in melee with him, all without penalty. Normally, he can make 3 such attacks per round (Attack action + Extra Attack + Crossbow Expert's bonus attack). Once per short rest he can make 5 attacks per round via Action Surge (Attack action 1 + Extra Attack, Attack action 2 + Extra Attack, Crossbow Expert's bonus attack).  His normal attack bonus is +8 (3 proficiency, 3 Dexterity, 2 Archery fighting style), and normal damage is 1d6+3. Not amazing damage, but nice accuracy and flexibility (attacks can be focused on one target, or spread around; works equally well in melee and ranged combat).  The real winner is his ability to take -5 on any of these attack rolls to increase the damage by 10, to an average of 16.5 per shot (excluding crits). If he lands his usual 3 attacks, that's ~47 damage; 5 attacks is ~83. While the -5 to hit seems imposing, he's still got superiority dice: he can increase his attack roll by 1d8 after seeing the result, up to 4 times per short rest. And even without the superiority dice, his attack bonus is still an acceptable +3; ok for hitting low AC targets, or those granting advantage on attack rolls (e.g. surprised or prone + adjacent).  With a decent AC, a Fighter's HP, and the Second Wind feature, he can also take a decent amount of damage. He'll also have decent Strength, Dexterity, and Constitution saving throws.  This build seems almost too well rounded. Unlike a blaster, he only requires short rests to recover his big hitters. Unlike a brawler, he can target just about anything on the field at a moment's notice. Have I missed any rules, or overlooked any drawbacks? I will soon be attending a Ph.D program in mathematics. I do not know how common this practice is, but the department has a requirement that graduate students must learn a foreign language and be able to read and write mathematics in that language. The three choices are French, German, or Russian. I personally have no preference on which to learn, but I was wondering if there were other reasons that would make one language more advantageous over the others in terms of a general mathematical career. Thanks in advance in any response. Difference between [NSMutableArray array] vs [[NSMutableArray alloc] init] Strange directory under C: of Windows 7 What is the US Visa Waiver Program and what is an ESTA? Operator norm. Alternative definition Automatically show which tags were edited in revision history I’ve developed the habit of using the revision summary to indicate which changes I’ve made to the tags while retagging a question.  For instance, if the question originally had tags   and it should be  instead, I write the following in the revision summary:     Edited tags: -cocoa, -touch, +cocoa-touch   which I find useful (and potentially educational) for the OP and other editors.  On the other hand, when an editor doesn’t type a revision summary, Stack Overflow shows     User (timestamp) edited tags   with no indication of the difference between previous tags and the tags set by that edit.  Since there’s a limit on the number of tags, this difference would easily fit in the revision history list of that question. Could this be automatic in case the editor doesn’t fill the revision summary? Is it worth it? Why are "baked" and "naked" not pronounced the same? Background reflected in glossy glass, but I didn't set it I've made a roughness 0 glass pane, when I'm in lookdev mode it's reflecting a background that I didn't put there. I know I could just ignore it, but I'd rather be able to see what it'll mostly look like when I'm in the later stages. I also just want to know how on Earth I managed to set this background without realising it  Reflection completely ignores any objects I put in front of it. If I placed this glass inside my house, it would still just reflect trees (This is the point where I felt I couldn't ignore it - reflections are going to play a big part in my project and I don't want to be in render mode all the time)  The nodes are the default glass BSDF, except I set roughness to 0  The glass is set to 20mm thick, if that makes a difference  The background moves with my perspective and moves when I relocate the glass  I have a few HDRI's on my PC, but none look remotely like this   Also, I'm using cycles as I find Evee buggy as hell I'tm trying to show in SQLcmd window the results of these queries:  SELECT SYSDATETIME() AS "date";  PRINT 'EXTRAÍDO POR:' SELECT SUSER_NAME() AS "Owner"  PRINT 'PASSWORD SETTINGS'; exec xp_loginconfig;  PRINT 'PASSWORD SETTINGS'; select * from sys.sql_logins;   And using this command in SQLcmd:  sqlcmd -S myServer -i inputpath -s, -o outputPath(like C:\log.xls) -e   So the sqlcmd output the file and does not show nothing in sqlcmd screen. How can i print these "Print" commands in the sqlcmd screen? (command promt).  When I run it on SSMS works well, like:  (1 row affected) OWNER:  (1 row affected) PASSWORD SETTINGS  (8 rows affected) PASSWORD SETTINGS  I would like to show in the prompt command this, like in the SSMS.  Thanks! Today i was at a arena. A player from the red team put a Grimer there, which causes my game to crash every time I select the arena (Samsung Galaxy S4 mini). All other pokemons i saw so far did not make any problems  I searched a bit, and found out that this is a known bug, e.G.:   Now my question, is there a way to battle in the arena or even select it without crashing my app? Some option like "hide model in arena",changing some smartphone-settings or another trick? Or do i have to wait till a bugifx from niantec comes or somebody else which has a handy which dont crashes with grimer clears the arena, before selecting the arena?  Because somebody could place him there i guess this is only a bug for specific smartphones, but this could be used to exclude a lot of players from arenafighting by only placing grimers in arenas to let the game crash for them, are there some official notes about this from niantec or how to avoid the crash? Query Activity for ORDER BY xxx DESC LIMIT Can't create new folder from anywhere in Windows 7 I have this problem on two of my new laptops and can't seem to find a decent workable solution elsewhere in forum land. The problem is that on my Windows 7 Professional machines the right mouse button doesn't show the New Folder option and elsewhere as well (via Explorer) I'm unable to create new folders.   I'll be happy to get this tiny problem resolved and declare that Windows 7 is almost perfect! Thanks to all of you in advance for your contribution!  PS: None of the Vista solutions seem to work here!      Tried NewFolderFix.reg, didn't work - "Not all data was succesfully written to the registry. Some keys are open by the system or other processes."  Converted FolderFix.reg to .inf file and that worked.  Don't recall the problem appearing after an update.  MS answer to the explore process hanging (KB 972685) was to install the latest Visual C++ Update (vcredist.exe).  Nope. That didn't help either.  I haven't touched Silverlight since installation when Windows 7 hit the shelves. I tortured the RC installation before that, and never had problems there either.    UPDATE-  Logged back into Administrator account, still missing from there. Spent a bit more time looking instead of just fixing. Just yto make sure, logged back into my user account - still OK there.  Turns out the entries in HKCR\CLSID were the culprit here. Reg file wouldn't take again (as above) but inf file fixed it. This key was unable to be entered from regfile, or altered or deleted in Regedit (Permissions).   Don't quite understand why a common key in HKCR needed to be entered separately for each user.   Here is the file I used to fix it. Just copy into notepad, save as newfolderfix.inf, rt-click and select Install  ================================================================  [Version]  Signature=$Windows NT$  [DefaultInstall]  AddReg     =REGEntries.AddReg  [REGEntries.AddReg]  HKCR,"%String0%",,0x0,"CLSID_ExecuteFolder"  HKCR,"%String0%\InProcServer32",,0x0,"ExplorerFrame.dll"  HKCR,"%String0%\InProcServer32","ThreadingModel",0x0,"Apartment"   [Strings]  String0 = "CLSID\{11dbb47c-a525-400b-9e80-a54615a090c0}"  =============================================================   Thanks to others who helped point me in the right direction. Fundamental particles identical or just differences very small? I have read that all electrons are identical and I assume the same for protons, etc. That is, all electrons are of the exact same mass and charge.  But do we really know this? Could there be slightly heavier electrons with slightly higher charge or is there a reason why such particles could not exist or would be unstable? How to automatically install entire Google Web Fonts collection?