Proving that $\frac{1}{a}+\frac{1}{b}+\frac{1}{c} = 1\implies (a+1)(b+1)(c+1)\geq 64$ where $a,b,c>0$.
Proving a three variables inequality
I'm currently in the process of making a custom map and I want to add blocks that can only be placed on a certain colour clay.  This is the command I tried using.  /give @p cobblestone 1 0 {CanPlaceOn:["hardened_stained_clay"],Damage:3}   However, even with this command the cobblestone can be placed on any colour of stained clay. What command can I use for placing only on a certain block? How do HttpOnly cookies work with AJAX requests? JavaScript needs access to cookies if AJAX is used on a site with access restrictions based on cookies. Will HttpOnly cookies work on an AJAX site?   Edit: Microsoft created a way to prevent XSS attacks by disallowing JavaScript access to cookies if HttpOnly is specified. FireFox later adopted this. So my question is: If you are using AJAX on a site, like StackOverflow, are Http-Only cookies an option?  Edit 2: Question 2. If the purpose of HttpOnly is to prevent JavaScript access to cookies, and you can still retrieve the cookies via JavaScript through the XmlHttpRequest Object, what is the point of HttpOnly?  Edit 3: Here is a quote from Wikipedia:     When the browser receives such a cookie, it is supposed to use it as usual in the following HTTP exchanges, but not to make it visible to client-side scripts.[32] The HttpOnly flag is not part of any standard, and is not implemented in all browsers. Note that there is currently no prevention of reading or writing the session cookie via a XMLHTTPRequest. [33].   I understand that document.cookie is blocked when you use HttpOnly. But it seems that you can still read cookie values in the XMLHttpRequest object, allowing for XSS. How does HttpOnly make you any safer than? By making cookies essentially read only?   In your example, I cannot write to your document.cookie, but I can still steal your cookie and post it to my domain using the XMLHttpRequest object.  &lt;script type="text/javascript"&gt;     var req = null;     try { req = new XMLHttpRequest(); } catch(e) {}     if (!req) try { req = new ActiveXObject("Msxml2.XMLHTTP"); } catch(e) {}     if (!req) try { req = new ActiveXObject("Microsoft.XMLHTTP"); } catch(e) {}     req.open('GET', 'http://stackoverflow.com/', false);     req.send(null);     alert(req.getAllResponseHeaders()); &lt;/script&gt;   Edit 4: Sorry, I meant that you could send the XMLHttpRequest to the StackOverflow domain, and then save the result of getAllResponseHeaders() to a string, regex out the cookie, and then post that to an external domain. It appears that Wikipedia and ha.ckers concur with me on this one, but I would love be re-educated...  Final Edit: Ahh, apparently both sites are wrong, this is actually a . IE6 &amp; 7 are actually the only browsers that currently fully support HttpOnly.  To reiterate everything I've learned:   HttpOnly restricts all access to document.cookie in IE7 &amp; and FireFox (not sure about other browsers) HttpOnly removes cookie information from the response headers in XMLHttpObject.getAllResponseHeaders() in IE7. XMLHttpObjects may only be submitted to the domain they originated from, so there is no cross-domain posting of the cookies.   edit: This information is likely no longer up to date. After creating some hi-poly model, i'm always creating low-poly model by approximating that hi-poly mesh with triangle-by-triangle LP mesh - with snap to face mode turned on.   So the process looks like CTRL + RMB (x times), and hitting F on keyboard, so the new face was made.  Then I'm using this low poly model to texture baking, mainly for gamedev purposes.  This method is very time consuming, so how to make retopology process easier and quicker? How long does mana from Burning-Tree Emissary stay around? Prepositional Phrase - confused - at or in Let's meet in the morning  or at the morning.  in the afternoon or at the afternoon.  in the night or at the night.  in the park or at the park.  working in the background or at the background. Increase resolution to 4K in VMware or Virtualbox I have a laptop with a 4K (3860×2160) display, but there are a lot of problems. A lot of virtualization programs aren't compatible with 4K resolution.  VMware Workstation and VirtualBox don't support 4K display in the list of the display's resolution. How I can set the resolution of the display in a virtual machine to 4K? How does RNA polymerase II CTD bind to the RNA modification proteins if the tail is flexible? The tail of RNA polymerase II is flexible, not folded into a fixed structure , but does each repeat have more &quot;rigid&quot; structure (i.e. fold into a structure that has less rotation freedom inside a repeat)? If not, then how can the proteins bind some repeat with high specificity? (you can't make lock and key with soft material) I cannot find enable-interactive-search in    gsettings set org.gnome.nautilus.preferences enable-interactive-search true.     I searched using    gsettings list-recursively | grep search     and    gsettings list-recursively | grep interactive     but no such option.  Can you help me disable this in Ubuntu 17.10 and later? The Drupal 8 REST UI configuration page asks me to select Authentication providers for GET method; otherwise, it doesn't allow me to export the REST request.  How can I provide anonymous user to access my REST GET API without providing any auth information? Get DOS path instead of Windows path Fibonacci addition law $F_{n+m} = F_{n-1}F_m + F_n F_{m+1}$ I've been trying to photograph lightning lately, as we have had some great storms in Colorado. I've had some difficulty getting a good vantage point, however, as almost all of these storms include rain as well. To keep my camera from getting drenched (I have weather-sealed lenses, but my camera body, a Canon 450D, is not weather sealed as far as I can tell), I've had to shoot under the eve of a building or under a thick canopy of trees, however that has greatly limited my ability to adapt to the changing weather and get get a vantage point on the best lightning.  Is there any equipment, something I can purchase or something home-made that has easy-to-find parts, that can help me protect my lens from the rain while still being able to shoot? Additionally, I've been getting rain on a UV filter I have on the front of my lenses, simply to prevent rain from getting on the front lens element itself. However, once a storm really gets going, so does the rain. Is there a simple solution to keep rain off the front of the lens? Recovering *permanently* deleted emails from Gmail person in distress here.  Dont ask me how, but I ended up deleting all my 12,000 inbox emails from Gmail into Trash and then erased my Trash as well. Gmail gave me a warning box and took 20 seconds to delete. This was not what I intended. I have searched high and low to check if there is any way of recovering my 10 years worth of emails and could not find any.  Any one here know of a way, ANY WAY, to recover my accidental permanent deletion of all my 10 years worth of email (deleted from Trash as well)? Is the universe fundamentally deterministic? I'm not sure if this is the right place to ask this question. I realise that this maybe a borderline philosophical question at this point in time, therefore feel free to close this question if you think that this is a duplicate or inappropriate for this forum. Anyway, I'm an electrical engineer and I have some basic knowledge of quantum mechanics. I know that Schrödinger's equation is deterministic. However, quantum mechanics is much deeper than that and I would like to learn more. If this question is not clearly answerable at this point than can anyone point out some recognized sources that try to answer this question. I would appreciate it if the source is scientific and more specifically, is related to quantum theory. I understand how Insight and Perception can be used passively: for the DM to determine if an enemy Deception or Stealth attempt is successful without alerting the players that someone is deceiving or sneaking.    But the Observant feat in the Player's Handbook states:      [...] You have a +5 bonus to your passive Wisdom (Perception) and passive Intelligence (Investigation) scores.     So in what situation would a DM be rolling something against the player's Investigation without letting them know? Does an Echo Knight fighter's echo provoke an opportunity attack when it moves? Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$ How do I build a loop in JavaScript? How can I build a loop in JavaScript? Is there a systematic way of solving cubic equations? In my text book, to solve cubic equations, I need to    find by trial &amp; error what $f(a)$ will make the equation 0. The factor will be $(x-a)$ then the other factor will be $Ax^2+Bx+C$ then I can solve using compare coefficient   But for te first part, is there any other way apart from trail &amp; error? Or is there some technique to guess the factor of an equation?   The question I am currently doing happens to be $2x^3+3x+4=9$   UPDATE:  $2x^3+3x+4=9$ should be $2x^3+3x+4=9x^2$   UPDATE 2  So I am going to try substituting   $x=\pm{1}, \pm\frac{1}{2}, \pm{2}, \pm{4}$  When $x=-\frac{1}{2}$, one of the provided answers,   $2(−0.5)^3−9(−0.5)^2+3(−0.5)+4=-18.75\neq 0$   did I make a mistake? How does editing work?