Understanding the AdS/CFT Correspondence
Introduction to AdS/CFT
I am trying to include a figure into LaTeX from a paper originally created using MS Word. I have already converted all the text/equations into LaTeX but I can't figure out how to get the figures over without re-drawing them using LaTeX code (which I do not want to do). The image is a plain box (like a tabular) one row by 7 columns with numbers inside each cell. Then I inserted arrows of varying length above and below the box (several short ones and one much longer).    I am trying to use the  package with the \includegraphics command.   I copied the figure (box and arrows) from my original article into a blank Word doc. The figure only takes up the first 4 or 5 lines of the blank document. I then selected/highlighted the image and printed the selection using 'PDFCreator'. This allowed me to save the image as a .eps file. I then copied and pasted the eps file into the folder where all my .tex files are saved.  When I compile the document using pdftexify there is a blank space where the image should be. In the console I get the following message when I compile the document:  [27] &lt;Fig3-eps-converted-to.pdf, id =105, 391.4625pt x 74.2774pt&gt; &lt;use Fig3-eps-converted-to.pdf&gt; Overfull \hbox 1.46153pt too wide) in paragraph at lines 511--516 []   My code looks like this:  \documentclass[12pt]{article}  \usepackage{graphicx} \usepackage{epstopdf} \begin{document}  %Text  \includegraphics{fig3.eps}  %text  \end{document}   I have read the sections on graphics in 'LaTeX: A Document Preparation System' and 'The Not So Short Introduction to LaTeX2e' but I still can't figure this out. Should I maybe use a PNG image since it is a pretty basic figure? Any advice on how to properly transfer images from a word doc to .eps format and/or how to get those .eps files into LaTeX properly would be a huge help. Subtracting from a specific column I'm using uninstall.php for my plugin to delete all the traces my plugin did to a site on uninstall (delete). I did it in a good way, but even after the deletion there are some fields in the options table:   uninstall_plugins recently_activated _site_transient_update_plugins   in these options there are multiple values from other plugins too.  How can I take care of such traces, how can I remove all those traces too?  I checked WooCommerce and found they leave no traces after there deletion, if the "delete data" checkbox is checked.  How can I do so? Lebesgue integral uniform convergence Let $f_n, f \colon [a,b] \to \mathbb{R}.$ Show that, if $f_n \to f$ uniformly, then the Lebesgue integrals are equal, i.e. $\int f = \lim \int f_n$.  This is clearly true for continuous functions, but how do I handle the case of non-continuous functions? Insert distinct data into Combobox List How to us possessive apostrophe with words in quotes? For example,   ...a few days later I discovered that those five little boys were not that well-behaved (as I firstly thought). In fact they were quite mischievous and conniving. The broken tree next to my house and the cat with its legs tied were all their "inventions". And Lilly, as it later turned out, was able to get to Denver so fast not without those "little inventors'" help. I have frequently encountered both $\langle a,b \rangle$ and $[a,b]$ as notation for closed . I have mostly encountered $(a,b)$ for open intervals, but I have also seen $]a,b[$. I recall someone calling the notation with $[a,b]$ and $]a,b[$ as French notation.   What are the origins of the two notations?  Is the name French notation correct? Are they used frequently in France? Or were they perhaps prevalent in French mathematical community at some point? (In this  Bourbaki is mentioned in connection with the notation $]a,b[$.)      Since several answerers have already mentioned that they have never seen $\langle a,b \rangle$ to be used for closed intervals, I have tried to look for some occurrences for this. The best I can come up with is the article on , where these notations are called Czech notation and French notation. Using $(a,b)$ and $[a,b]$ is called English notation in that article. (I am from Central Europe, too, so it is perhaps not that surprising that I have seen this notation in lectures.) I also tried to google for  or . Surprisingly, this lead me to a  where this notation is used for open interval. We are asked the following:      let $f(x)$ be a continuous function on $[0, 1]$ such that   $$\int _ {0} ^ {1} \ f(y) dy = 1$$   prove that $f(x) = 1$ for some $x ∈ [0, 1]$   The question asks to take into account Rolle's Theorem and Mean Value Theorem.  I'm aware of the definitions, but I am really unsure how to answer this question and my tutors are not really responding till after easter.    Could someone please help? Why is there a "y" involved?  Thanks you An analytic function $f$ on $\{z \in\mathbb{C} : |z|>1 \}$ I'm trying to downgrade my iPhone from the current iOS to an older one, as per .  But every time I try, I always receive this error:     The iPhone could not be restored. This device isn't eligible for the requested build.     I have tried many times with and without DFU mode. Any ideas regarding this? Relating the Color of meat to doneness I want to know more about how to correlate the color of meat to its level of doneness. How do I recognize how cooked my meat is based solely on color? "died from" versus "died of" Why can't I say “She died from drinking 18 cans of Coca-Cola”? Instead, the correct sentence would be “She died of drinking 18 cans of Coca-Cola”. Why does that happen? How to convert a Collection to List? Can I pay two different costs with the same payment? Say I have a Zombie token, , and  on the battlefield. Can I sacrifice the Zombie token to activate both the Altar's and Seer's abilities?  Similarly, if I have one card in hand, and  and  on the battlefield can I discard the one card to both of their abilities?  If I have a  with 3 charge counters can I activate both of its abilities by tapping it to add a counter, and tapping it to remove 3 counters and destroy a permanent without untapping it in between? Why do archery arrows tilt downwards in their descent? Is $\exists x(x=a)$ a valid formula in first order logic with equality? Under , is $\exists x(x=a)$ true in every interpretation in first order logic (FOL) with equality? If so, could $\exists x(x=a)$ be considered a tautology? This question was motivated by  which was closed for lacking clarity. Here I have attempted to add that clarity myself so that the same question can be useful to others who are wondering a similar thing. This is a self answer question. Do you have recommendations for books to self-teach Applied Statistics at the graduate level? I took several statistics courses in college but I found that my education was very theory driven.  I was wondering if any of you had a text in Applied Statistics (at the graduate level) that you recommend or have had good experience with. Copy & Pasting from Photoshop to Illustrator loses transparency I often run into this issue. I'm creating a file in Photoshop with masked layers etc. I want to make the final output available for some mock-ups in Illustrator, so I rasterize the layers and marquee select the entire area, copy and move to Illustrator.  Pasting the area in Illustrator flattens all transparencies, which is quite annoying. I'm left with my object and a flat white background.  Is there a reason for this? Is it possible to automatically "add" \left and \right commands in front of all brackets? The source code should be left intact, but LaTeX should interpret every pair of brackets as if they were preceded by such commands. This is because adding \left and \right commands is time consuming and makes source code longer and less readable. I considered defining new commands such as \lb and \rb for \left( and \right), but it doesn't seem very elegant to me: what if I also want to add square brackets for example?  Any ideas? Thanks. Assume: $p$ is a prime that satisfies $p \equiv 3 \pmod 4$  Show: $x^{2} \equiv -1 \pmod p$ has no solutions $\forall x \in \mathbb{Z}$.  I know this problem has something to do with Fermat's Little Theorem, that $a^{p-1} \equiv 1\pmod p$. I tried to do a proof by contradiction, assuming the conclusion and showing some contradiction but just ran into a wall. Any help would be greatly appreciated.