On Windows, x64 versions of the OS can run both x86 and x64 binaries.  However, x86 Windows can only run x86 binaries. Even if the underlying CPU is 64-bit capable, it cannot run x64 binaries.  Is the situation with x86 / x64 binary compatibility on Linux the same? Or is there more (or less) compatibility?
The output from uname:  root@debian:~ # uname -a Linux 5asnb 2.6.32-5-amd64 #1 SMP Mon Jun 13 05:49:32 UTC 2011 x86_64 GNU/Linux   However the /sbin/init executable shows up as 32-bit:  root@debian:~ # file /sbin/init /sbin/init: ELF 32-bit LSB executable, Intel 80386, version 1 (SYSV), dynamically linked (uses shared libs), for GNU/Linux 2.6.18, stripped   Other aspects of the system seem to contradict things as well:  root@debian:~ # echo $HOSTTYPE i486  root@debian:~ # getconf LONG_BIT 32
I want to write a conditional expression such as the following.    What is the best way to express such conditional expressions in Latex? Socket Tester all indicators light up I used the above GFCI/RCD (up to 250v) socket tester on the 240v black and red live wire of the US split phase ac power system. When I connect the ground, all indicator lights (3 red) got on indicating "Live/Grd Reverse, Missing GRD" although it is connected properly.  What is inside the socket tester? Does it have a live and neutral leg such that it should only be used for ac system with polarity? How about if you use it on the red and black 240v phase to phase? Why would all the indicators light become on (3 red lights)?  The following is the specs of it:  Specifications: Brand Name: HABOTEST Color: Black Material: Flame Retardant ABS Plug Type: US Voltage: 48V-250V 45-65Hz RCD Test: >30mA (EU/UK Plug) RCD Working Voltage: 220V±20V GFCI Test: >5mA (US Plug) GFCI Working Voltage: 110V±20V Voltage Measurement: 48V~250V / 45~65Hz    Accuracy: ±(2.0%+2) Working Environment: 0°C ~ 40°C, 20% ~75%RH Storage Environment: -10°C ~ 50°C, 20% ~80%RH Safety Rating: EN61010-1,-2-030, EN61326-1,CAT II 300V Item Size: 62 * 65 * 55mm / 2.4 * 2.6 * 2.2in Item Weight: UK 64g/2.3oz, EU 59g/2.1oz, US 53g / 1.9oz Package Size: 7.5 * 7.4 * 7.3cm / 3.0 * 2.9 * 2.9in Package Weight: UK 90g/3.2oz, EU 86g/3.0oz, US 79g / 2.8oz How can I send an email using a template? I have created a email template in ExactTarget API and I want to use it executing XML from SoapUI.  Is there any tutorial or examples of how can this be done?  I'm new at this and I'm not sure how ExactTarget really works. Let $A,B \subset \mathbb{R}$. Show that $\sup(A \cup B) = \max\{\sup A, \sup B\}$ How do I convert a Word file's references to .bib format How do I convert a Word file's references to .bib format? Is any tool available  to convert it to .bib format? Shooting many bullets toward the mouse position I try to shoot a bullet toward the mouse position by this code.  float deltaX = mousePosition.x - (aircraft.getPosition().x + aircraft.getLocalBounds().width / 2); float deltaY = mousePosition.y - (aircraft.getPosition().y + aircraft.getLocalBounds().height / 2); float angleRadian = (float)(std::atan2(deltaY, deltaX)); float angleDegree = (float)(angleRadian * 180 / PI);   It works fine with one bullet but when I add another one bullet to shoot together I use this code to specify start shooting point of each bullets.  sf::Vector2f offset1(aircraft.getPosition()); offset1.x += -10;//start shooting point first bullet.  sf::Vector2f offset2(aircraft.getPosition()); offset2.x += 10;//start shooting point second bullet.   this is a picture of this problem.   When I rotate aircraft to picture 2 the bullets are not the same as the first picture.  How can I solve this problem? How to insert HTML to PHP DOMNode? I accidentally killed a noble, now every guard wants to kill me. Is there any way I can get rid of the bounty? Let $f$ be a real, continuous function defined on $[0,\infty)$ such that $xf(x)$ is increasing for all sufficiently large values of $x$. Show that if   $$\int_0^x f(y)\,dy \sim Ax^\alpha \quad \left(\,x\to \infty\right)$$  for some positive constants $A$ and $\alpha$, then  $$f(x)\sim \alpha Ax^{\alpha -1} \quad \left(\,x\to \infty\right).$$  Clearly, I have to use differentiation somewhere, but I don't know how to manipulate $\lim_{x\to \infty}\frac{\int_0^x f(y)\,dy}{Ax^\alpha}=1$ to get the desired result.  From suggestions given, I know that by L'hospital's rule, it's enough to show that the limit $\lim \frac{f(x)}{\alpha Ax^{\alpha -1}}$ exists, and this limit equals $ \lim \frac{xf(x)}{\alpha Ax^{\alpha}}$. From here, I'll need to use the given assumption that $xf(x)$ is eventually increasing. But how can I show the existence of the limit based on these facts?  I would greatly appreciate any solutions, hints or suggestions. Different results for integration using Mathematica and MATLAB Intuitive examples of importance sampling My background is computer science. I am fairly new to monte carlo sampling methods and, although I understand the math, I have hard time coming up with intuitive examples for importance sampling. More precisely, could someone provide examples of:    an original distribution one cannot sample from but one can estimate an importance distribution which can be sampled from and adequate for this original distribution. Is there an open source alternative to "Adobe Digital Editions"? For the moment I run Adobe Digital Editions under Wine to download ebooks burdened with ditigal restriction management. I only use it to open .acsm files supplied by ebook-shops, which contain authentication information required to download the actual DRM'ed ebook files, which I then transfer to my reader-device with calibre. My question is, if there exist open source alternatives to Adobe Digital Editions. They don't need much functionality. I just want to put the .acsm-file in and get the .epub out (no, I don't want to remove the drm, that'd be illegal afaik). Show that $|z_1 + z_2|^2 < (1+C)|z_1|^2 + \left(1 + \frac{1}{C}\right) |z_2|^2$ Let $z_1$ and $z_2$ be two complex numbers. Show that there exists $C &gt; 0$ with   $$  |z_1 + z_2|^2 &lt; (1+C)|z_1|^2 + \left(1 + \frac{1}{C}\right) |z_2|^2. $$   I tried to simplify the L.H.S and R.H.S, SNF I was finally left to compare between a real number and a complex number  I really couldn't think of anything else. Please help. In Harry Potter and the Sorcerer's Stone, Nearly-Headless Nick and some other ghosts can visit the Hogwarts students, but why can't other deceased people - such as Harry's parents? Cannot replace a packed image in the uv image editor I was trying to replace an image in my UV image editor, but the image defaults to a different image. how do I fix this? Inserting the value from Datetime field form I have a form where the user can input datetime and then I want to store it in the database. Here's my schema :     'start' => array(           'type' => 'varchar', 'mysql_type' => 'datetime',           'not null' => FALSE,         ),   The form :     $form['add']['start'] = array(         '#type' => 'datetime',   '#default_value' => $date,       );   When I hit submit button, it shows me :     db_insert failed. Message = SQLSTATE[22007]: Invalid datetime format: 1292 Incorrect datetime value:...   What I got out of it was that the DateTime in Drupal is incompatible with MySQL's. Any suggestions or how should I process the value from the form so I can insert it into the db?  Alternatively, any way to convert DrupalDatetime into string?  (For what it's worth I also tried 'timestamp' as the MySQL type but it throws me the same error). How do I remove an incomplete or broken snap installation of nextcloud on a Raspberry Pi? Should I keep 32bit or 64 bit Windows 10 on my x64 based Intel Atom Z3735F cpu on 2gb ram non-upgradable laptop I have an Acer Aspire Switch 10 SW5-012 detachable notebook which has 2GB of RAM based on an x64 based processor. I got it with a 32 bit version of windows 8 but upgraded to windows 10 recently. But before I do anything else, I was considering if I'd be having Better performance with the 64 bit version of windows 10. Would it make my notebook perform better since it's based on an x64 based Intel Atom Z3735F? Or should I just stick to the 32 bit version of windows 10? Rotate group of objects over an edge Linked server returned message "Query timeout expired." We have two separate SQL Servers. On one server we have a data warehouse (DWH), on the other we have sales information database.  Now on the DWH server there is an ETL job that collects the information from the sales server. The job runs daily after midnight. The DWH collects the information via linked server from the sales database.  Now, the most time the ETL job runs without any problems. But sometimes it fails because of query timeout. We have found out, that there is a specific pattern: The failure happens every 11th day. So on the 11th day the ETL job fails to collect information.   The following error occurs:     SQLNCLI11 for linked server “my linked server” returned message “Query timeout expired.”   Note: The job fails usually 10 minutes after start.  We have searched everything and could not found out what this issue causes. Also we know that the amount of data is every time, almost the same. Also there is no any scheduled job that runs all 11 days or something.  The remote query timeout on the linked server is set to 0.  Our next step will be, to turn off the antivirus programm on the sales server, to check if this causes the problem.  Does anyone have any clue or idea, where i can search further to find the problem?