Massive import with CSV file
How to read a csv file and use the values as x and y points in blender?
Given $a,b,c,d \in \mathbb{Z}$, there is $x,y$ such that  $$(a^2 + b^2)(c^2 + d^2) = x^2 + y^2$$  One can show this by considering the complex number $a + bi$ and $c+ di$, using complex properties to deduce that $x = ac - bd, y = ad + bc$ is a solution.   However, given that either $a^2, b^2$ are distinct or $c^2,d^2$ are distinct, then how can one can find nonzero solutions $x,y$?  Sorry, I am assuming $a,b,c,d$ are nonzero. In version 5.2 of Apple's Pages app for OS X (Mavericks), how do I change the page layout? I want to prove that every real polynomial of odd degree has at least one real root, using  the intermediate value theorem.  Let $P(x) = x^{2n+1} + a_n x^{2n} + . . . + a_0$ for each $a_i \in \mathbb{R}$ and $n \in \mathbb{N}$.  By the fundamental theorem of algebra I know that $P(x)$ has exactly $2n+1$ complex roots, so  $P(x) = (x+r_1)(x+r_2) . . . (x+r_{2n+1})$ for each $r_i \in \mathbb{C}$  I do not know how to complete this but I do know that, at some point, I probably have to show that each root with imaginary part non zero has to come in conjugate pairs, and since $2n+1$ is odd there is at least $1$ root that is imaginary part $0$ and thus real. Can noindex tags on several pages affect the overall SEO or ranking on Google? Some SEO Gurus assured me that noindex attributes are good to devalue the unimportant pages.   When I asked in the moz Q and A, they're quite sure that having noindex on the bulk of the articles on the website can harm overall SEO ranking.   Which is true? Chi-squared test when two vectors have different lengths I want to compare two groups (vectors) having different lengths to see if their distributions differ considerably. However, when I use chisq.test, I get an error due to inequalities of lengths:  &gt; chisq.test(factor(Group1), factor(Group2))   results in:  Error in chisq.test(factor(Group1[, col]), factor(Group2[, col])) :  'x' and 'y' must have the same length   Could someone help me with this? Thanks. I'm rather interested in getting my feet wet at the interface of  and . Can anybody give me references to some good books on these topics? I'm looking for very introductory technical books. How can I migrate a Windows 10 from BIOS/MBR boot to UEFI/GPT without reinstalling? launch sms application with an intent Probability of winning the game "1-2-3" What differentiates the scientific method from other methods From the controversy in , I would like to know what differentiates "the scientific method" from other method.  I'm asking for differentiation, rather than a definition, because definitions call for an all encompassing answer, which is often hard to find.  If someone asks "what is an alternative to the scientific method," I would like to be able to start by being able to reliably say whether a particular method is the scientific method or not.  Of course, being a linguistic issue, the definitions of words themselves are flexible.  For instance, it is not uncommon to hear one in science talk of "truth" in a sense which is incompatable with the mathematical meaning of "truth."  Accordingly, I would like to stick to the following ideals in wording whenever possible:   Prefer mathematically accurate terminology.  Ideally the word "proof" should be used in the form found in proof theory, and "true" and "false" should be used in the form of Boolean algebra.   No method should claim a hypothesis which predicts the state of the future is "true" unless they claim soothsaying abilities (most scientific theories include a random variable to avoid needing to claim soothsaying abilities... this is legitimate)  Words which imply direction should be clarified carefully.  "Good" and "bad" are notoriously difficult, but phrases such as "advancing society" can also be very tricky as well. The physical world and the world of information theory should be treated differently.  In particular, the concept of "testing a hypothesis" will likely need to be broken down into testing and observing the physical world, taking measurements (which should have errors associated with them), and only then is the hypothesis compared against the results of the measurements. Mathematically extending arguments into infinity (such as claiming some specific cellular level learning process qualifies as the scientific method) are valid, but may rapidly make it harder to distinguish non-scientific methods from scientific ones.  Such claims should be made carefully, but they are not inherently invalid.   If these ideals are too strict, you may bend them, but you should qualify such choices with an explanation of why my recommended wording choices are too strict.  Their goal is to put different methodologies on the levelest playing fields that I can manage in this medium.  Being stack exchange, bonus points for references to existing theories, though you may need to paraphrase their results to fit with the ideals I'm recommending for these answers.  Answers may be tested two ways:   Positive: If we think something is the scientific method, does it meet the requirements set forth? Negative: If we think something is not the scientific method, does the answer explain why it is not? A Question On Euler's Proof Of the Basel Problem I've studied the proof that Euler gave for the famous , and it would seem that while it is technically correct, he does not justify all of his steps properly. Namely, he assumes that   $$\frac{\sin(x)}{x}=\left(1-\frac{x}{\pi}\right)\left(1+\frac{x}{\pi}\right)\left(1-\frac{x}{2\pi}\right)\left(1+\frac{x}{2\pi}\right)\dots$$  simply because they have the same roots, which is really not a strong enough condition. How do you really show that the equality holds?  He then notices that if you use the above equality, and consider it against the Taylor expansion for $\frac{\sin(x)}{x}$, then you can equate the coefficients of the two infinite expansions at each order, and the result of the Basel problem follows. But how do you know that if you have two different expansions for a function, then their coefficients at each order must be equal?  I would really appreciate if someone could show me how to make these two intuitive, yet informal, steps rigorous. bash chained logical operator execution order, lazy evaluation Jointly Complete Sufficient Statistics: Uniform(a, b) Let $\mathbf{X}= (x_1, x_2, \dots x_n)$ be a random sample from the uniform distribution on $(a,b)$, where $a &lt; b$.   Let $Y_1$ and $Y_n$ be the largest and smallest order statistics.  Show that the statistic $(Y_1, Y_n)$ is a jointly complete sufficient statistic for the parameter $\theta  = (a, b)$.     It is no problem for me to show sufficiency using factorization.   Question: How do I show completeness? Preferably I would like a hint.    Attempt: I can show $\mathbb E[g(T(x))] = 0$ implies $g(T(x)) = 0$ for the one parameter uniform distribution, but I am getting stuck on the two parameter uniform distribution.   I tried playing around with $\mathbb E[g(Y_1, Y_n)]$ and using the joint distribution of $Y_1$ and $Y_n$, but I am not sure if I am going in the correct direction, as the calculus is tripping me up. I don’t actually need to run the command below, and I am aware of ssh keys if I did want to log in without typing a password. I would just like to know how ssh seems to circumvent my file redirection.  Running the following command, ssh prompts me for a password:  ssh nobody@192.168.1.151 &gt; /dev/null 2&gt; /dev/null &lt; /dev/null   How does this work? stdin, stdout, and stderr are all redirected, but ssh still manages to print a prompt on my screen and read what I type. I tried adding the ssh arguments -t -t and -T (not both at once), to enable or disable pseudo-tty allocation, but it made no difference.  I also tried closing all input and output this way, although I don’t know if I typed it correctly. Still, ssh prompts for a password:  (exec 0&lt;&amp;- 1&lt;&amp;- 2&lt;&amp;- 0&gt;&amp;- 1&gt;&amp;- 2&gt;&amp;-; ssh nobody@192.168.1.151) I'm using a Samsung I9000 and I have some annoying apps that came pre installed by the phone vendor, like a music store, a custom web browser and other memory leaking apps.  Those crappy apps can't be uninstalled neither by Manage applications tool, nor by editing the apps tiles in the front menu.  I guess I have to be a root user or something to get rid of those apps, but I don't know how. How To Display Too Much Data We're building a web-based platform where the main dashboard shows a table of data for users to view and analyze. As we're growing this tool, we seem to be adding more and more columns and are running out of horizontal space on smaller screen resolutions (we're seeing some data wrap). It is important to the user to view all columns at once, so column hiding is somewhat out of the question, as is horizontal scrolling (per the boss's request and because horizontal scrolling sucks anyways). I was wondering if anyone knew of a clever UI for tables with many columns.  EDIT  Below is a screen capture of the layout of the table. Unfortunately for security purposes I had to blur out the column titles. This example has rows with practically no data in them, but in use they will have lots of data that will expand wider than their respective column titles. In response to some of the answers, it is imperative that the user see all the columns, as they are all necessary to analyze the data to make certain decisions. All the data is numeric aside from the first three columns. Thanks again for any feedback.    Ok so I see that uploading this image doesn't really do it justice... it takes up the full width of the screen at 1680x1050 resolution (22") and as data fills in the columns, the left column w/the text shrinks down a bit.  EDIT 2 I just wanted to say thank you to everyone's awesome ideas. I can only select one answer, but a lot of your ideas have proven very useful and may end up in the final product. Thanks again! How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$? I have to compute this integral $$\int_{0}^{\infty} \frac{dt}{1+t^4}$$ to solve a problem in a homework. I have tried in many ways, but I'm stuck. A search in the web reveals me that it can be do it by methods of complex analysis. But I have not taken this course yet. Thanks for any help. What is the status of existing measurements of the speed of gravity? A word for "intimate friends" without any kind of romance? I'm looking for a word to describe that a particular situation where two people (a man and a woman) are probably the best of friends but have no romantic inclinations towards each other. They may invade each others thoughts periodically but aren't really in a relationship per se. What would be a good word to describe this?  I'm aware of "platonic" but am wondering if there is another word? Are  and the  really the same thing?  Not too long ago, Susskind and Bousso uploaded the article "" with the thesis that the many-worlds interpretation and the multiverse of eternal inflation are one and the same thing. The parallel worlds of one are exactly the same thing as the parallel worlds of the other.   First, they claim decoherence can't happen over a complete description of the future light-cone of the measurement. Then, they apply that principle to eternal inflation. Without decoherence, superpositions of nucleating bubbles and metastable vacua can't decohere. According to the anthropic principle, most bubbles have no conscious observers, but an exponentially small minority do. Apply black hole complementarity to causal horizons.  Then, somehow, in a way I can't follow, they combine causal diamond worlds into a global multiverse.  Then they claim decoherence is reversible.  My head is spinning. What are your opinions on this paper?