What is the probability that $THTH$ occurs before $HTHH$ in an infinite sequence of coin flips?
Coin sequence paradox from Martin Gardner's book
Evaluating string "3*(4+2)" yield int 18 Direction of angular velocity Angular velocity is the rate of angular displacement about an axis. Its direction is determined by right hand rule.  According to right hand rule, if you hold the axis with your right hand and rotate the fingers in the direction of motion of the rotating body then thumb will point the direction of the angular velocity.  The direction of angular velocity is above or below the plane. But what does it mean? I mean in linear velocity the direction of velocity is in the direction of motion of body but what does it mean that body is moving in one direction while the direction of its angular velocity is in another direction? .NET String.Format() to add commas in thousands place for a number Initially, my question was: is "focussed" or "focused" the correct past tense of "focus", but since this applies to a lot of words, I would like to generalize and ask: is there supposed to be a rule when to double the consonant? 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) So, in my physics textbook it's written that the kinetic energy possessed by a body is equal to the amount of work done by an opposing force to stop the body, now that got me thinking that when a ball hits a wall, the wall which is the opposing force does no work  because there is no displacement, so to say isn't the kinetic energy possessed by the ball zero? Keyboard layout isn't kept upon reboot I had a problem with the keyboard layout changing from PT (I'm Portuguese) to EN automatically with the last Ubuntu updates in Ubuntu 13.10. After Ubuntu 14.04 came out, I formatted my computer and installed the new version.  After that I haven't had any problems until the recent Ubuntu base update 2 or 3 days ago, when I started having the same problem again. I even removed the English keyboard from the Keyboard configurations, left only the Portuguese one, but still, every time I reboot my PC I get the keyboard configured for EN, despite Ubuntu displaying the contrary?  How can I remove this? I don't want to format the PC again and I'm getting really tired of this problem, since it looks like many Portuguese/Brasilian Ubuntu users are having the same problem. Can "it" be used with plural subject? Several years ago I heard of something called dummy subjects in high school. It was then stated that, for example, it is a dummy subject when it starts many instances of sentences, e.g.        It is rainy today.   It is hard to imagine how hard is to live alone.   It is not my university degree that matters here.     My question is if we can use it with plural subjects? For example in       If some think that in Mahmoud Dowlatabadi’s works it is only social themes that matter and the writer is ignoring fictional arrays and artistic techniques, at least, endings of his stories show wrongness of this idea.     My question deals with the italicized part. If this usage is OK, can we also write they are social themes that matter? I mean can they also play the role of a dummy subject? Why should edits be at least six non-space characters? Earlier today I got this message:  Oops! Your edit couldn't be submitted because:   Edits must be at least 6 non-space characters; is there something else to improve in this post?   However, the purpose of my edit was to change the formatting for a message to show code.  There may have been other grammatical mistakes that could have been, but in general it is possible that there would not be.  What's the correct protocol to handle a situation like this? Difference between staticmethod and classmethod As I understand it, there are several models for what the universe could look like from the “outside”. I don’t know if any of these are outdated, so if they are please tell me if they are.   Expanding bubble. This model says the universe will never stop expanding, and the universe will die because the energy all turns to photons and gets spread out so much. Bubble that will eventually collapse. In this model the universe will stop expanding, and collapse. Everything merges into super-massive black holes, and the universe dies with fire. The universe is a torus. I'm not clear whether the size of the universe in this model is changing, but the central idea is that space is donut-shaped.   Those are the major ones that I have heard of. My question involves what I have heard to be the most popular of the three, #2. In this model, eventually something will "touch" the edge of the universe. Obviously, the first thing to "touch" it would be photons as they travel at, well, the speed of light. This involves all forms of energy in the universe, but I thought it might be easier to explain for something without mass.  What happens if some form of energy "touches" the edge of the universe? Logically, the energy cannot be lost without violating the law of conservation of energy. The only thing I can think of, is that it would "bounce" or be refracted off the edge.  I realize that it sounds silly, however if model #2 is correct then this situation will arise some number of billions of years from now.  I can only assume that there is either a new model that accounts for this, there is some complex explanation, or that model #2 is incorrect. Calculate battery life I would like to know how to calculate battery life when using an LED strip. The LED strip is powered by 8 AA batteries in series. LED Current Draw = 260 mA. LED power consumption: 3.1 W. LED Operating Voltage range: 9-14.8 VDC. Please see attached images for battery datasheet.  This is my calculation, but I'm not sure if it's correct:     Battery Life = (Battery Capacity)/(Load Current) = 2000 mAh /260 mA = 7.7 Hours   This is for one battery, and the lights are powered by 8 batteries, so is the total battery life = (7.7)x(8) = 61.6 hours ? USB-C to MagSafe 2 Adapter I have a 2015 MacBook Pro with a MagSafe 2 charging cable. My wife has a new MacBook Pro from 2016 with USB-C. I was wondering whether I could technically (in the matter of electronic feasability) use her charging cable on my MacBook and vice versa with some sort of adapter / dongle, and, if so, where I would get one? Can I use Wubi for manual installation? Is it possible to use Wubi for Ubuntu 13.04? I read that it will not be supported in the official release due to some problems. Is this going to change in the future, and can we expect to see a future release with support for 13.04? I'm running into trouble trying to mount a large iso:  dev@dev-OptiPlex-745:~$ sudo mount -o loop /home/dev/Hämtningar/matlab2011a_64.iso /cdrom mount: warning: /cdrom seems to be mounted read-only. dev@dev-OptiPlex-745:~$    Can you tell me how I should do it? What is the best regular expression to check if a string is a valid URL? What is the secondary CPU Usage Graph line in the Windows 10 Task Manager I was looking at the task manager in Windows 10 and for the first time noticed a secondary dashed line below the solid? What does this line indicate? Ubuntu 12.04 gnome issue, no clock is shown, strange starter icon cannot be removed i am finding nowhere a solution I am running UBUNTU 12.04 and using GNOME desktop, which I installed additionally. Logging into classic GNOME I see the following:     WHAT is this "earth globe" icon coming from?Seems to be named "starter". It is configured to open a website, from my bookmarks. WHY is it not showing the TIME?   Using dconf-editor I had no luck in answering the above questions.  Any idea? Could the change from an edit be displayed in a side-by-side display PHP Change Array Keys Is there a way to change all the numeric keys to &quot;Name&quot; without looping through the array (so a php function)? [     0 =&gt; 'blabla',     1 =&gt; 'blabla',     2 =&gt; 'blblll',     // etc ... ]