If there are two coprime numbers a and b, then are a^2 and  b^2 also coprime ?
So, if $\gcd(a,b)=1$, then $\gcd(a^2,b^2)=1$ means $1=ax+by$, and want to show $a^2x+b^2y=1$. By squaring $1=ax+by$ both sides, I get, $1=(ax)^2+b(2axby+by^2)$. It doesn't help my proof. Please help me with this proof.
Quake-style terminal with splitting in Gnome other than Yakuake The most common Quake-style terminal in Gnome seem to be Guake and Tilda, but they can't split to show several shells in single tab like Yakuake can. Is there any alternative which can do so? Lebesgue measurable set that is not a Borel measurable set Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$ RSA when N=pq and p = q How can I use Unicode-aware regular expressions in JavaScript?  For example, there should be something akin to \w that can match any code-point in Letters or Marks category (not just the ASCII ones), and hopefully have filters like [[P*]] for punctuation, etc. How are "Little Planet" photos created? How do you make mini-planet photos like this one?   By Guido Radig (Own work) [CC BY 3.0 (, via Wikimedia Commons  Here are some examples of what I mean on Flickr:  - though I would be open to a better source of examples. Why can't I launch eclipse from a terminal ? change $PATH environment variable How to properly hook up various maps types in Cycles? I created some texture maps in MindTex to use in Blender, but I can't figure out how to properly hook them up. The maps I have:  - Diffuse  - Normal  - Height   - Specular   - Gloss   - Self Illumination  - Reflection  - Ambient Occlusion   MindTex (left) vs. Blender (right)  As you can clearly see it's a pretty big difference.  is my material node setup in Blender. In the examples I don't actually use self illumination or reflection images, but including this in the answer would be helpful. Wireless USB Adapter 0bda:c811 Realtek Semiconductor Corp How can I start the Blood on the Ice quest? I am currently part of the Stormcloaks and just finished Rescue from Fort Neugard. The Jarl wants to make me a thane and is telling me to buy a house, but his steward is telling me the house is unavailable due to some unpleasantness. I have already completed the 5 quests to help people of Eastmarch.  From what I can see online, I need to begin the Blood on the Ice quest. It is supposed to begin by walking in the windhelm graveyard at night, however every time I go there I don't see anyone.  Someone online said it's possible to miss the scene that triggers the quest if you go into Windhelm and leave without triggering it, but I am hoping this isn't the case. I am in Windhelm a lot because the Enchanting table, Blacksmith, and Fence are all in one location, so find it very convenient. The lady who is supposed to be murdered in the Graveyard (Susanna) is still alive in Candlehearth Hall, so I think I'm not bugged.  The wiki suggests that you have to "The quest will initiate after you entered Windhelm four times from another hold", however I have entered and left quite a few times during the course of my game and know I've been here way over 4 times.  I tried pickpocketing the key, however I don't automatically get the quest on entering the house, and there are a bunch of "Investigate InvestigationTarget" spots in the house. Also, I was reading the Butcher's journal and he was saying he almost caught Susanna when she left Candlehearth, however I have never seen her leave Candlehearth. Perhaps my glitch is she never leaves? I'll have to head to Windhelm on another character and check it out.  Also, I saw something online saying this quest won't trigger if you go past 245 in-game days. Would someone be able to confirm this for me? (Have the XBox version, so waiting 245 days is annoying)  Can someone tell me the exact steps to begin this quest? If we remove the square in the upper right corner of a $8\times 8$ chessboard.  The question is: Is it possible to cover the entire remaining area, with $1\times 3$ chocolate bars? (they can be laid on the chessboard vertically and horizontally aswell)  For the answer: We know that there will be $63$ squares left on the chessboard, of which $32$ are white and $31$ are black, since the one in the upper right corner was black. $63$ is divisible by $3$, so it could be possible to cover the area, but that doesn't prove that an arrangement exists to do it. I'm not sure how to continue and am seeking help. Thanks. How do I resize root partition? How do I choose between "as to", "on", "of", and "about"? I know that the harmonic series $$\sum_{k=1}^{\infty}\frac{1}{k}  = \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} + \cdots + \frac{1}{n} + \cdots \tag{I}$$ diverges, but what about the alternating harmonic series   $$\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k}  = \frac{1}{1} - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6} + \cdots + \frac{(-1)^{n+1}}{n} + \cdots \text{?} \tag{II}$$  Does it converge?   If so, what is its sum? Convert python datetime to epoch with strftime I am an Australian currently on a Netherlands working holiday visa that ends in May next year. I would like to know if when my visa ends I then get another 90 days just as a regular tourist visa as I would like to do some more travel within Europe when my visa ends before going home to Australia. How to pass multiple operator properties via UI layout? Basically, I want to have a single operator which can do multiple things, based on some attributes values.  class MyPanel(bpy.types.Panel):     # (...)     layout = self.layout     row = layout.row()     row.operator("my.button", text="Button text")  class MY_BUTTON_OT_Button(bpy.types.Operator):     bl_idname = "my.button"     bl_description = "Button description"     bl_label = "Button"     foo = bpy.props.IntProperty()     bar = bpy.props.BoolProperty()      if bar:         # Do something with foo     else:         # Do something else :P   I know how to set one attribute, like so:      row.operator("my.button", text="Button text").foo=5   But what about multiple arguments? I tried several things that didn't worked, like (e.g.):   With setattr(): row.operator("my.button", text="Button text").setattr(foo=5,bar=True)   With a custom method setVal() in the operator class: row.operator("my.button", text="Button text").setVal(foo=5,bar=True)   Maybe I must use a single EnumProperty? I hope to avoid this, so my question is: Is it possible to pass multiple custom arguments to set attributes in an operator class? And if yes, how ?  Thanks for your help. Tracking down where disk space has gone on Linux? Extracting tree crown areas from remote sensing data (visual images and LiDAR) Headphones don't work after update I updated to Ubuntu 15.04 from Ubuntu 14.10 a few days ago, and now my Logitech G230 headphones don't receive any sound. How can I fix this? PulseAudio Volume Control detects my headphones, and says they're working, but no sound comes through.  EDIT: Using alsamixer worked at first, but now it doesn't, and I get frequent bursts of static through my headphones now.