We added thousands of pages at once to our website, and we have lost our SEO ranking, what should I do?
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I am having trouble finding the derivative of the following:  $$y = x^x+x^3+3^x+3^3$$  $$\frac{dy}{dx}= x \times x^{(x-1)}+3x^2+3^x\ln3+0$$  I think the $x^x$ part is wrong. Any help would be appreciated. Colors and legend in groupplots/barplot In order to compare three items I use the groupplot command. For each item I have n different criteria to compare.    Is it possible to set the color for each criteria itself? Meaning the first bar in every group goes gray, the second pink etc.. The legend than should contain the n compared criteria.  And... how do I manage to let the whole tikz-picture have a width of 0.9\textwith  \documentclass{standalone} \usepackage{pgfplots,pgfplotstable} \usetikzlibrary{pgfplots.groupplots}  \pgfplotstableread{ nr  fii faa foo a   10  15  12 b   12  18  14 c   13  19  15 d   9   13  10 e   7   11  8 f   10  15  12 }\datatable  \begin{document} \begin{tikzpicture} \begin{groupplot}     [group style={columns=3},         ybar,         ymin=0,         ymax=20,         xtick=\empty,         tickpos=both]  \nextgroupplot[xlabel=fii] \addplot [fill=blue] table [x expr=\coordindex, y=fii] {\datatable}; \nextgroupplot[xlabel=faa] \addplot [fill=green] table [x expr=\coordindex, y=faa] {\datatable}; \nextgroupplot[xlabel=foo] \addplot [fill=red] table [x expr=\coordindex, y=foo] {\datatable};  \end{groupplot} \end{tikzpicture} \end{document} I already have an Apple ID, made at Apple.com. Now, when I want to access the App Store from my iPad, I am told that I have to review my information. On the credit card page, I am not presented with a "None" option, even though I am in the United States.   What can I do to proceed without entering this information? I'm fairly new to blender and not a graphics person by any stretch of the imagination. I've been having some success though modelling semi-reflective glass for a project I wish to build (physically) and I'm wondering if it is possible to model the effects of a lens. The lens I wish to model is a double-convex type. It has a diameter of 120mm and a focal-length of 301mm. Is this something that can be modelled in blender and if so, how? I'd like to be able to position the camera close to this lens and reproduce the magnifying effects of the lens on the scene behind the lens as well as depth-of-field effects.  Thanks a lot. Bugged display in search using negation Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses Why must $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ -- the set of all polynomials in $\sqrt{2}$ and $\sqrt{3}$ with rational coefficients  -- contain multiplicative inverses?   I have gathered that every element of $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ takes form $a + b\sqrt{2} + c\sqrt{3} + d\sqrt{2}\sqrt{3}$ for some $a,b,c,d \in \mathbb{Q}$, and I have shown that $\mathbb{Q}[\sqrt{2}]$ and $\mathbb{Q}[\sqrt{3}]$ are both fields, but it's not clear to me why this allows for general multiplicative inverses to exist in $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$. I have a problem with the fancy package: I use the report documentclass and I have a chapter, a lot of text and then a new page starting with a section (or the next page has no chapter starting on that particular page).  The problem be, that what I defined for my header and footer is NOT on the chapter-page but only on the non-chapter page. How come? What did I miss?  Minimal example:  \documentclass[]{report}  \usepackage{lastpage} \usepackage{fancyhdr} % for use of \pageref{LastPage}  \fancypagestyle{IHA-fancy-style}{% \fancyhf{} %Clear header and footer \fancyhead[LE,RO]{\slshape \rightmark} \fancyhead[LO,RE]{\slshape \leftmark} \fancyfoot[C]{\thepage of \pageref{LastPage}} %Custom footer \renewcommand{\headrulewidth}{0.4pt} %Line at the header visible \renewcommand{\footrulewidth}{0.4pt}} %Line at the footer visible  \title{A short example}  \begin{document}  \maketitle \tableofcontents  \pagestyle{IHA-fancy-style} \chapter{A chapter} Look at the footer  \newpage \section{A section} Look at the footer  \end{document}   Take notice: No line on page 2 at the bottom - a line on page 3 at the bottom.  Any clues? Convergence of $\sqrt{n}x_{n}$ where $x_{n+1} = \sin(x_{n})$ Consider the sequence defined as  $x_1 = 1$  $x_{n+1} = \sin x_n$  I think I was able to show that the sequence $\sqrt{n} x_{n}$ converges to $\sqrt{3}$ by a tedious elementary method which I wasn't too happy about.  (I think I did this by showing that $\sqrt{\frac{3}{n+1}} &lt; x_{n} &lt; \sqrt{\frac{3}{n}}$, don't remember exactly)  This looks like it should be a standard problem.   Does anyone know a simple (and preferably elementary) proof for the fact that the sequence $\sqrt{n}x_{n}$ converges to $\sqrt{3}$? Superscript in CSS only? How can I get superscript done, only in CSS?  I have a stylesheet where I mark the external links with a superscript character, but I'm having a hard time getting the character aligned correctly.  What I have currently, looks like this:  a.external:after {   font-size: 50%;   vertical-align: top;   content: "+"; }   but it doesn't work.  Naturally, I'd use the &lt;sup&gt;-tag, only if content would allow for HTML... How could we improve our planned post notice improvements? Megan has written a .  I've seen a bunch of discussion about it on chat - but it feels like having it purely on the blog is a little clunky.  So specifically - what does the MSE community feel about the proposed post notices for closed questions? What's missing, or what should be added? What are some of the lessons we've learnt that could be helpful here? When installing user applications, where do "best practices" suggest they be located? Occasionally I install applications manually, rather than using apt or another package manager.   What location (/usr/, /usr/local/, /opt/, /home/, etc.) is suggested by "best practices" for the installation of user applications? Changing "index.php" Within The Address How do I distinguish between a command, utility, or builtin for getting documentation? I'm running Bash scripting, but sometimes I get confused which of these commands I use belong to who. Sometimes man xxx works, sometimes doesn't, so I use --help or info, mostly one of these works to show description of the command. Can anyone tell me how I would know what command belongs to what? Bash builtin, GNU utility, etc. Being an aspiring Apple developer, I want to get the opinions of the community if it is better to learn C first before moving into Objective-C and ultimately the Cocoa Framework?  My gut says learn C, which will give me a good foundation. Why does a cork ball float to the side of a glass as illustrated in the following GIF? What is the physical phenomenon behind this observation and why does it happen? Do you use degrees or radians for trig functions? I was just wondering if you use degrees or radians in trig functions. For example if I have a degree of 0.5 would I do: Sin(0.5) or would I have to convert that to radians?  Or does it not matter either way? Expected time to roll all 1 through 6 on a die What is the average number of times it would it take to roll a fair 6-sided die and get all numbers on the die?  The order in which the numbers appear does not matter.  I had this questions explained to me by a professor (not math professor), but it was not clear in the explanation.  We were given the answer $(1-(\frac56)^n)^6 = .5$ or $n = 12.152$  Can someone please explain this to me, possibly with a link to a general topic? Chaining the Imperius curse What would happen if a wizard w successfully casts the Imperius curse on a equally powerful wizard a and then order him to cast the same curse back on w?  Follow-up questions.  It is established that casting the curse can be done .  What would happen in the case of a chain of casts that would hit back the original wizard? w-&gt;a-&gt;b-&gt;c-&gt;w  The original wizard could rather command the last wizard c, in the chain, to curse his first target instead. w-&gt;a-&gt;b-&gt;c-&gt;a wich would create a loop of a-&gt;b-&gt;c-&gt;a...  In what kind of limbo would wizards a, b and c exist in?  ( for the sake of simplicity, we can assume that every curse target is not very good at resisting the curse ) To prove that if $n$ is odd, then $8 \mid n^2−1$, observe that as $n$ is odd either $n = 4k+1$ for some integer $k$ or $n=4k+3$ for some integer $k$. In the first case $n^2 -1=8(2k^2+k)$ and in the second case $n^2-1 = 8(2k^2 + 3k + 1)$.  Given an odd integer $a$, establish that $a^2 +(a+2)^2 +(a+4)^2 + 1$ is divisible by $12$. Solve by consideration of six cases. Generating random results by weight in PHP? I know how to generate a random number in PHP but lets say I want a random number between 1-10 but I want more 3,4,5's then 8,9,10's. How is this possible? I would post what I have tried but honestly, I don't even know where to start.