Just downloaded Minecraft no bin folder or minecraft.jar
How to install mods for the new Minecraft launcher
What function satisfies $ f(x)+f\left(\frac{1-x}x\right)=x$ ? Multiple tables join in SQL for this scenario Citing two authors gets displayed incorrectly How do I separate hydraulic disc brake pads after pulling the brake while the wheel is off? Wavy stream of liquid What is $A^-$ in topology? Hartshorne Algebraic Geometry Proposition 1.5 (page5) In a notherian topological space $X$, every nomempty closed subset $Y$ can be expressed as a finite union $Y=Y_1 \cup \cdots \cup Y_r$ of irreducible closed subsets $Y_i$. If we require that $Y_i \nsupseteq Y_j$ for $i \neq j$, then the $Y_i$ are uniquely determined. They are called the irreducible components of $Y$.    I understood the existence of such a representation. But I can't understand a sentence in  the uniqueness part, which I highlighted: Let $Y=Y_1 \cup \cdots \cup Y_r$ and $Y=Y&#39;_1 \cup \cdots \cup Y&#39;_s$ be two such representation. Then we can deduce that $Y_1=Y&#39;_1$ (the details are in the textbook). Now let $Z=(Y-Y_1)^-$, then $Z=Y_2 \cup \cdots \cup Y_r$ and also $Z=Y&#39;_2 \cup \cdots \cup Y&#39;_s$.  What is the operator $^-$? I understood it as a closure, is it right? But then how can I deduce that $Z$ is represented as $Z=Y_2 \cup \cdots \cup Y_r=Y&#39;_2 \cup \cdots \cup Y&#39;_s$? I'm looking for a single line regex which does the following:  Given a HTML tag with the "name" attribute, I want to replace it with my own attribute. If that tag lacks the name attribute, I want to implant my own attribute. The result should look like this:  &lt;IMG name="img1" ...&gt; =&gt; &lt;IMG name="myImg1" ...&gt; &lt;IMG ...&gt; =&gt; &lt;IMG name="myImg1" ...&gt;   Can this be done with a single line regex? Prove that $ n^3 + 5n$ is divisible by 6 for all $n\in \textbf{N}$ Prove that $ n^3 + 5n  $ is divisible by 6 for all $ n \in \textbf{N} $.  I provide my proof below. Node Package Manager got corrupted in some way, now it cannot be installed How should I interpret this residual plot? I am unable to interpret this graph. My dependent variable is total number of movie tickets that will be sold for a show. The independent variables are the number of days left before the show, seasonality dummy variables (day of week, month of year, holiday), price, tickets sold till date, movie rating, movie type (thriller, comedy, etc., as dummies). Also, please note that movie hall's capacity is fixed. That is, it can host maximum of x number of people only. I am creating a linear regression solution and it's not fitting my test data. So I thought of starting with regression diagnostics. The data are from a single movie hall for which I want to predict demand.  The is a multivariate dataset. For every date, there are 90 duplicate rows, representing days before the show. So, for 1 Jan 2016 there are 90 records. There is a 'lead_time' variable which gives me number of days before the show. So for 1 Jan 2016, if lead_time has value 5, it means it will have tickets sold until 5 days before the show date. In the dependent variable, total tickets sold, I will have the same value 90 times.  Also, as a side remark, is there any book that explains how to interpret residual plot and improve model afterwards? Prove there are k consecutive non-squarefree integers So, I've got a question for class that asks me to prove the existence of arbitrarily long runs of consecutive integers where $\mu(n)$ is zero.   I've started the proof, but I need a bit of help midway through.  Assume there exists a run of length n, which we currently assume is the longest possible chain.  If we induct on n, we can assume there is a run of the form $m_1p_1^2, m_2p_2^2, ..., m_np_n^2$ (where each of the $p_i$ are prime).  If I add $M =  lcm(m_1p_1^2, m_2p_2^2, ..., m_np_n^2)$ to each number, I get another run of length n.  So here's where the issue starts. When I talked to my advisor about it, he referenced a theorem where there exists a prime $p$ congruent to $1\ mod\ M$.  I am unfamiliar with this theorem, so I'm not sure how to use this information. Any chance I can get some help? Or else is there a simpler way to go about this problem? What sci-fi novel has the moon split into 7 pieces by an asteroid, threatening life on earth? I am looking for the title of a novel that I only caught part of on audio. It takes place within our current time frame and deals with the Moon getting struck and fragmented into (initially) 7 pieces by a high-speed asteroid that they called "The Agent".  Within a few weeks of this episode, scientists figure out the the Moon will continue to break down in a cascade reaction over the next couple of years until the planet gets bombarded by so much debris that it sterilizes Earth. The governments of the world frantically start to build a series of ships using swarming concepts to evacuate the planet as much as possible... and that's all I have heard so far.  Thanks for any info. Calculating size of particular area below buffer in QGIS? I have a point shapefile of villages where data was collected in Northern Kenya. I created a buffer around those villages.   The second vector layer contains polygons defining areas according to vegetation type. So for example, a forest might be surrounded by a narrow ring of woodland in an area which is mainly grassland. I'm trying to obtain a percentage of each vegetation type within the buffer per village.   I'm using QGIS 1.7 Local timezones on servers considered harmful? I'm curious as to what other administrators' experiences with timezones, in the context of remotely administered servers, are. In my career I've come across several conventions;   Always, always, always use UTC.   Always, always, always use the timezone of wherever base HQ is. Use the local time of the people who happen to be administering.  Use the local time of the server location.    In some places, I've come across multiple and conflicting conventions. My own preference has been to use UTC, always - with no daylight savings. But for one reason or another, it seems that most people prefer to use some concept of local time, with daylight savings. Although it seems like a straightforward technical matter, discussions around changing conventions always seem to trend towards religious schisms.  What are you using? What do you consider to be the advantages and disadvantages of each approach? I would like to prove that : If $H$ is a subgroup of $G$ and $K$ is a subgroup of $H$, then  $$|G:K|=|G:H||H:K|$$  I appreciate any clear explanation of this. Thanks ! Can't access my home directory "Encrypted private directory is not setup properly" Hi I'm trying to access my home directory on my laptop hard drive through a live usb. I cannot boot into the OS on the hard drive and the home and root directory is encrypted. I have the encryption key but when I try to run the tool to gain access it pops up for a second then disappears and when I run the command in Terminal it says "Encrypted private directory is not setup properly". What are my options on getting into the directory? I really need to get the data off my laptop. If I don't want to set any special behavior, is it OK if I don't bother to have a robots.txt file? Enable HTML5 tags on Eclipse I really love Eclipse (PDT)... But i'm developing sites using HTML5 and CSS3 and it mark the HTML5 tags like &lt;nav&gt;, &lt;section&gt; and &lt;article&gt;  as invalid tags (inexistent).  How can I add those new tags to it?  And what about CSS3 rules?  I read something about remove the "invalid tag" check... and that's not what I want. :( How do I disable tabs for  tag I am using &lt;a&gt; tags for links on a web page. How do I disable the Tab key from selecting either of them? Is there a goto or any equivalent in Python to be able to jump to a specific line of code?