How do I fix ubuntu from booting on a black screen?
My computer boots to a black screen, what options do I have to fix it?
continuous functions on $\mathbb R$ such that $g(x+y)=g(x)g(y)$ Let $g$ be a function on $\mathbb R$ to $\mathbb R$ which is not identically zero and which satisfies the equation $g(x+y)=g(x)g(y)$ for $x$,$y$ in $\mathbb R$.   $g(0)=1$. If $a=g(1)$,then $a&gt;0$ and $g(r)&gt;a^r$ for all $r$ in $\mathbb Q$.   Show that the function is strictly increasing if $g(1)$ is greater than $1$, constant if $g(1)$ is equal to $1$ or strictly decreasing if $g(1)$ is between zero and one, when $g$ is continuous. Smooth shaded model has odd shading I'm currently working on a model of an X-wing that I'm intending for use in a game and running into a bit of trouble with the shading of the mesh. The upper nose is rounded off where the sensor cone attaches, but at the point it reaches the canopy frame it flattens out and meets at a corner.  Everything is fine and dandy when the sides are modeled:    but once I close it off and add the top of the nose, the shading goes to hell:    As you can see, the smoothing gets confused at the lip of the cockpit.  I've tried a couple different means of getting around this, none of which looks right while maintaining the correct shape. The transition from the rounded to flat is a fairly important part of the ship's character, so I don't want to discard the contours, either.  Any tips or suggestions on modeling this area?  Addendum:  If I eliminate that second angle where the canopy frame meets the fuselage as marked in red:    this also fixes the smoothing. However this is not a solution, as the angle is a part of the design. It DOES give me another thought on fixing, but I won't be able to test it until I get home. I am looking to display my iPad screen wirelessly to an external display to demo applications.  I found  showing exactly what I want to do with an iPhone but no explanation as to what the hardware dongle used was.  The main thing is that there isn't a wire tethering the user to the external display. Is it possible to use the laptop's audio via headphone jack and Bluetooth speakers at the same time? Lolo Joe wants earphone jack to plug and use big speakers but at the same time he wants to partner the music coming out the earphone jack and his Bluetooth system and speakers. Is it even possible to use the earplug connection and the Bluetooth system and devices at the same time? Escape string for use in Javascript regex How many digits does $2^{1000}$ contain? I tried this way, I only need to know if this is correct or if there are better ways to solve this:  $2^{1000}$ does not have a factor of $5$ obviously therefore we can assume  $$ 10^{m} &lt; 2^{1000} &lt; 10^{m+1}$$ for some  $m$   Assume $ k = 2^{1000}$, then take log on both sides $\log k = 1000  \log 2 \approx 301.02999 &gt; 301$  Therefore $2^{1000}$ has $302$ digits. How can I find tv shows/films similar to one I like? As a general case, how can I find movies or TV shows similar to an existing movie or TV show that I like? Is it OK to add [Solved] to the title of a question? I was confused when I saw this Question with [Solved] in its title where I couldn't find a solution: .  Then I found out that the "[Solved]" part was put there by someone else through editing like these:       I was feeling that this was not how it's supposed to be done and searched meta to find, that it is indeed discouraged to do so:        But on the other hand, the user who did the edits has a whole lot of reputation so I might me missing something here. So what's the correct thing to do? Should those edits be reverted? For a submerged object, buoyant force ($F_b$) is defined as:  $$F_b = V_{\text{submerged}} \times \rho \text{ (density)} \times g \text{ (gravitational constant)}$$   Conceptually, the buoyant force equation says that buoyant force exerted is equal to the weight of the volume of water a given object displaced. Why? I went online to   and found the following explanation, but it seems like non-sequitur to me:      Explanation: When an object is removed, the volume that the object occupied will fill with fluid. This volume of fluid must be supported by the pressure of the surrounding liquid since a fluid can not support itself. When no object is present, the net upward force on this volume of fluid must equal to its weight, i.e. the weight of the fluid displaced. When the object is present, this same upward force will act on the object. Brace expansion not working in a script for i in {1..40} do     echo $i done   I got  {1..40}   and I would like to have something like  1 2 3 and so on   so I can use the variable i inside a command's parameter. Should smilies be turned into images in questions and answers? A lot of mention has been made of the seriousness of Stack Overflow (and presumably Server Fault). Would it be a good idea to turn  :-) into actual images as per  in questions and answers? How do I identify which CPU a MacBook uses? I'd like to identify which CPU this notebook is using, in terms of code names such as "Ivy Bridge" and "Haswell". The little Apple logo in the upper left shows some information, but not this. A capacitor stores half the energy when charged from a battery each and every time? I understand that when a battery is connected to a capacitor that half the energy is stored in the capacitor while the other half is lost to heat or whatever other losses are involved once the capacitor is charged to the exact same voltage level of the battery.  Only a one time direct connection with a simple switch from open to closed that charges the capacitor up to the voltage level of the battery is what is being referred to. My question is does this occur each and every time?   Once the capacitor is charged to the voltage level of the battery then there should be 7.2 milliJoules of energy in the capacitor.  If the answer is yes that half the energy is transferred into the capacitor each and every time then what would the capacitor voltage have to be in order to equal 100% of the energy if it were to come from the battery?  I understand that in practice this will never happen, which is why the statement equal to 100% of the energy is indicated. (Meaning by some other method of charging means)         &ndash; Schematic created using Restart my graphics card without rebooting? What was Dumbledore's original wand made of? Recursive cast from SimpleXMLObject to Array Android OS without Google Services? I have a Sony Xperia Z with version 4.1.2 running.  My question is about removing all of the Google baggage from the phone.  I have no Google account tied to my phone and would really like to get rid of all traces of Google from my phone for a few reasons:   Battery performance: Google services ranks in the top 3 of what uses up my battery Privacy: I try to minimize what Google siphons from my phone with the exception of Google maps Less Dependency: I don't want to be dependent on one company for all my needs.   So are there any Android versions out there that are minimalistic and do not invade your privacy? Should individual letters be preceded with "an"? I was reading a comic book and I noticed that the author used "an A" and "an N" in a particular phrase (screenshot below). While I understand the usage of "An A" here (A being a vowel and what not) and "N" having a pronunciation which has a sound similar to "A".  Since most of English alphabets have pronunciations which start with a syllable similar to one of the vowels or semi-vowels; is it OK to prefix the letters using "An"?  For eg. An X, or An Y.        Zenescope's Grimm Fairy Tales - Werewolves: The Hunger, page #8 (Click to enlarge) What's the best way to get the last N elements of a Perl array? How can I get two Xbox 360's to be in "open nat" mode behind the same router? I have two Xbox 360's, one WiFi and the other wired through the same Linksys E3000 router with DD-WRT (v24-sp2 (04/13/11) std-usb-nas firmware).   Mine (the wired one, though hers has been wired in the past and it didn't appear to help) always seems to be open (green), and hers is either moderate or closed (oj/red)  Even with the original router firmware I've never been able to get both consoles into "open nat" mode, and it makes playing certain games together almost impossible for me and my wife  because we can't seem to get into the same game.   I have uPnP enabled and the DMZ disabled, and some minor port forwarding to allow for a Minecraft server (Ports 25565 and 25566 for a testing copy of the server), but other than that the settings are mainly at their default, on the xbox's and the router.   Are there any settings I can configure to allow this to work properly?