Can you stop forcing the YouTube Flash Player?
Allow embedded HTML5 YouTube video
bordermatrix with blocks I need to write a complicated matrix, that has a structure as in the attached picture. How to get pixel data from a UIImage (Cocoa Touch) or CGImage (Core Graphics)? What is the purpose of wrapping whole Javascript files in anonymous functions like “(function(){ … })()”? Proper analyses for 2x2 contingency tables So I have multiple questions about the different types of analyses that can be used on a 2x2 contingency table and when different analyses should be used.   To open, I'll note that this stems from my efforts to find the appropriate analyses to run for research using categorical data in a 2x2 contingency table. In my case I have two conditions: control and experimental and within the experimental group there are two items of interest (say, Item A and Item B). In all cases I'm investigating whether an outcome occurs or not: How many experimental participants show the outcome on Item A? How many experimental participants show the outcome on Item B? How many control participants show the outcome? So in addition to comparing Item A with the Control group (A vs. C) and Item B with the Control group (B vs. C), I also want to compare Item A with Item B (A vs. B).   My understanding is that for between-subjects comparisons (e.g., A vs. C   &amp;   B vs. C) a  is traditionally used and that for within-subjects comparisons (e.g., A vs. B) that  is a common choice.   Question 1: is this an accurate understanding of the common choices for statistical tests using 2x2 contingency tables?    My follow-up questions, and where most of my confusion lies, are related to what to do when multiple observed cell counts are low (less than 10). I've explored numerous threads here, the Wikipedia pages for different topics (Yates's correction, Fisher's exact, etc.), a few journal articles, and descriptions in R-packages, but I have found conflicting views.   Some sources indicate that you should use , others say it's out-dated because, in addition to being overly conservative, it was only preferred because the other options were computationally intense.   Others say that you should use , but I've seen additional information suggesting that Fisher's exact test is only appropriate if you know both the row and column totals and that other options (Boschloo, Barnard, etc.) are generally more powerful. However, which of those to use is also not clear.  Finally, even others suggest that the Pearson's $\chi^{2}$ test is appropriate as long as the expected cell counts are not low.   I've seen some indication that these arguments occur for McNemar's test as well (e.g., continuity correction &amp; McNemar's exact test).  Question 2: Is the assumption regarding cell counts about expected cell counts or observed cell counts? If the observed cell counts are low, does that matter to the type of test that should be used?  Question 3: What is an exact test and when should exact tests be used?    In addition to answers to these questions, I would also greatly appreciate any suggestions as to books or articles I can read to learn more about this. Part of my struggle with all of this has been just general difficult finding clear information about these topics and how they relate to one another. Why high voltage transmission lines? I recently spilled water on my computers keyboard, and as a result the left shift key seems to be stuck in the on position. This means that the system always boots into safe boot unless I hold down the option key. I have managed to change my password to one which is all caps and once I login I use keyremap4mac but it is still very annoying. Is there anyway which I can remap the keyboard during boot? Possibly with a startup bash script or something similiar? If that is not possible is there any way to use a script to bypass safe boot? I was planning on installing a new bootloader anyway in order to dual-boot linux, I don't know if this will help. Advice is appreciated. What causes yogurt in sauces to split? How to prevent it? A lot of my favorite curry recipes have a yogurt based sauce in them, but on a pretty regular basis when I make them, the yogurt ends up splitting into basically curds and whey. What causes that, and how can I prevent it?  As an illustrative example, last night I made a simple tofu curry as follows:   warm evoo in a pan add chopped onion, saute briefly add curry seasonings, allow to warm/season the oil add cubed tofu, toss to coat cook for a while, tossing periodically to lightly brown the cubes turn heat off add plain greek yogurt stir to combine   In the few minutes it took to finish the rest of the meal and start plating, the yogurt had separated so I had a clumpy, lumpy, yogurt soup instead of a smooth creamy sauce. Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$ I'm trying to write a simple bash function that takes, as its arguments, a number of files and/or directories. It should:   Fully qualify the filenames. Sort them. Remove duplicates. Print all that actually exist. Return the number of non-existent files.   I have a script that almost does what I want, but falls down on the sorting. The return value of the script as it stands is correct, but the output is not (unsorted and duplicates). If I uncomment the | sort -u statement as indicated, the output is correct but the return value is always 0.  N.B. Simpler solutions to solve the problem are welcome but the question is really about why is this occurring in the code I have. That is, why does adding the pipe seemingly stop the script incrementing the variable r?  Here's the script:  function uniqfile {     local r=0       for arg in "$@"     do           readlink -e "$arg" || (( ++r ))      done #| sort -u    ## remove that comment      return $r } Graph of Reputation Over Time for all linked accounts Can black holes actually merge? If time stops at the event horizon, can we ever detect two black holes merging? In other words, if you are a short distance away, would you encounter a spherically symmetric gravitational field, or a dipole field? I'm working on an app that requires no user input, but I don't want the iPhone to enter the power saving mode.  Is it possible to disable power saving from an app? Find total number of relations that are equivalence as well as partial order set. Assume set contains total $n$ elements.     My attempt:  As equivalence relation has property reflexive, symmetric and transitive and POSET has property reflexive, antisymmetric and transitive.  Symmetric and antisymmetric will cancle each other except reflexive relation and transitive relation can case antisymmetric, so it's also absent on resultant relation.  Therefore, all diagonal element should be present to satisfy conditions of equivalence as well as POSET.  So, it's independent of number of total number of element of set and answer will be $1$.     Can you explain in formal way, please? How do I call one constructor from another in Java? Prove $\sum_{i=1}^n2^{i-1}=\sum_{i=0}^{n-1}2^i=2^n-1$ combinatorially.  This is easy to prove inductively.  I know that $\sum_{i=0}^n{n\choose i}=2^n$ so maybe change $\sum_{i=0}^{n-1}2^i$ to $\sum_{i=0}^{n-1}\sum_{j=0}^i{i\choose j}$.  I also know that $2^n-1$ is the number of proper subsets in a set of size $n$. The FAQ mentions bounty, but sometimes a question just doesn't really have a right answer:   No solution exists The question as written is unanswerable and unsalvageable There may be a technically correct answer, but the asker is unable to utilize it for some reason.   In these cases, a bounty, and more answers, won't really help. What is the appropriate etiquette in these cases? Should the question be closed? Left hanging? For every $g\in G$ there exists an $h\in G$ such that $g = h^3$ Let G be a finite group whose order is not divisible by $3$. Show that for every $g\in G$ there exists an $h\in G$ such that $g = h^3$. What security systems and processes are in place to prevent malicious third parties from hacking/compromising the security of code in the Debian mirrors, or to verify that the packages we get are in fact the ones the maintainers think they are? iOS app in a zombified state I made a skin by using Skincraft and I exported it to minecraft.net. I chose my skin and uploaded it. At the top it says,      "Your skin has been changed! Please wait a few seconds for it to   update."   I went to Minecraft, clicked singleplayer and chose a random world at the top. I looked at my character, but it's still default. Multiplayer won't load for some reason. I don't know what I've done wrong!