Ubuntu 21.04 - Ubuntu Software not opening
Can't open snap-store
ContourPlot of implicit function doesn't work when I square the equation Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$? Basically does a vector set that is linearly independent in $R^n$ automatically span $R^n$?  My initial thought is yes, but is there some counterexample that can disprove this? I'm going through MSIL and noticing there are a lot of  instructions in the MSIL.  The MSDN article says they take no action and are used to fill space if the opcode is patched. They're used a lot more in debug builds than release builds.  I know that these kinds of statements are used in assembly languages to align later instructions, but why are MSIL nops needed in MSIL?  (Editor's note: the accepted answer is about machine-code NOPs, not MSIL/CIL NOPs which the question originally asked about.) How do I add PHP code/file to HTML(.html) files? Writing letters of recommendation for more than one student to the same department Suppose multiple students have asked me for letters of recommendation to the same graduate department in the US. Am I expected to explicitly compare the students to one another? Am I supposed to do this in both letters (assuming they haven't been submitted yet)? Do I need to explicitly state a preference for one over the other, or can I just get away with listing relative strengths and weaknesses (for instance, "X is stronger academically, but Y has more research experience and is a stronger programmer")? When I'm generating a List of Figures in my project, all figures are grouped by chapter. I would like to have the whole list without any additional new lines between different chapters.  How it looks like:  Figure 1.1  Figure 1.2  Figure 2.1  Figure 3.1  Figure 3.2   How it should:  Figure 1.1  Figure 1.2 Figure 2.1 Figure 3.1  Figure 3.2   I tried to apply the following solutions but failed completely :        My main file:  \documentclass[12pt,oneside,titlepage,utf8x]{report}  \usepackage{times,a4wide,multirow,tabularx,graphicx}  \usepackage{psfrag,fancyhdr,longtable}  \usepackage[T1]{fontenc} \usepackage{float} \usepackage[utf8]{inputenc}  \usepackage{url} \usepackage{color} \usepackage{verbatim} \usepackage{fancyvrb} \usepackage{natbib} \usepackage{relsize}  \usepackage{caption} \captionsetup[longtable]{belowskip=10pt}  \usepackage[left=4cm,top=2cm,right=3cm,bottom=2.5cm]{geometry}  \renewcommand{\chaptermark}[1]{\markboth{\nouppercase{\thechapter.\ #1}}{}} \pagestyle{fancy} \headheight 30pt \rhead{} \lfoot{} \cfoot{\thepage} \rfoot{}  \setlength{\parindent}{2em} \setlength{\parskip}{1em} \linespread{1.3}   \begin{document}  \begin{titlepage} \maketitle \end{titlepage}  \tableofcontents  \chapter{First} \label{sec:First} \input{chapter1/chapter1}  \chapter{Second} \label{sec:Second} \input{chapter2/chapter2}  \chapter{Third} \label{sec:Third} \input{chapter3/chapter3}  \relsize{-1} \listoffigures \normalsize  \bibliography{praca_mgr} \bibliographystyle{plain} \nocite{*}  \end{document} GTA V for PC exited unexpectedly I recently ordered the GTA V PC from Steam and when I finished installing and launch the game. It gave me "Grand Theft Auto V has exited unexpectedly". I tried "safe mod" and every option available, but none of them work. I checked some forums and found a lot of people having the same problems. What could be the possible cause? I'm using a laptop with these specs:  CPU: i7 4700m GPU: AMD HD8970M RAM: 8GB  I'm pretty sure my laptop is way beyond the minimum specs. Does someone know how can I enter the game? Copy existing property from e.g. Properties window to a custom panel So if I have this custom panel in the 3D view, is there a way I can take a property from for example the properties window and paste it onto my panel below the "text" prop, without creating a new property?  The reason I do not want to create a new property is because I want them to share all data, such as values, keyframes, drivers etc.        bl_info = {     "name": "",     "description": "",     "author": "",     "version": (0, 0, 1),     "blender": (2, 70, 0),     "location": "",     "warning": "",      "wiki_url": "",     "tracker_url": "",     "category": "" }  import bpy  from bpy.props import (StringProperty,                        BoolProperty,                        IntProperty,                        FloatProperty,                        FloatVectorProperty,                        EnumProperty,                        PointerProperty,                        ) from bpy.types import (Panel,                        Operator,                        AddonPreferences,                        PropertyGroup,                        )   class inouse_Settings(PropertyGroup):      my_bool = BoolProperty(         name="Enable or Disable",         description="A bool property",         default = False)     class UV_OT_my_panel(Panel):     bl_space_type = 'VIEW_3D'     bl_idname = "UV_OT_my_panel"     bl_label = "Custom"     bl_category = "Custom"     bl_region_type = 'TOOLS'      def draw(self, context):          scn = context.scene         mytool = scn.inhouse         layout = self.layout          col = layout.column(align=True)         row = col.row(align = True)         row.prop(mytool, "my_bool", text="Text")       def register():     bpy.utils.register_module(__name__)     bpy.types.Scene.inhouse = PointerProperty(type=inouse_Settings)  def unregister():     bpy.utils.unregister_module(__name__)     del bpy.types.Scene.inhouse  if __name__ == "__main__":     register() I've tried almost any method to root my ASUS ZenFone Live, but no one seems to work. Also I only need root, no unlocked bootloader (don't want to wipe data) or custom recovery (not essential ATM). Cycle option when drawing between nodes in TikZ Cycle lets you close curves when drawing, and  \coordinate (a) at (0,0); \coordinate (b) at (1,0); \coordinate (c) at (0.5, -1); \draw (a) -- (b) -- (c) -- cycle;   works fine. Shouldn't also  \node (a) at (0,0) {}; \node (b) at (1,0) {}; \node (c) at (0.5, -1) {}; \draw (a) -- (b) -- (c) -- cycle;   give the same result?  The former gives a triangle, while the second doesn't close up. Is this a bug or am I missing something regarding the cycle option?  (Of course, as a workaround I could use the coordinates to draw the cycled path, and then draw the nodes at the same coordinates, but still...) Does a man contain all the genes needed to make a woman? This question is brought on by a Sci Fi novel I am thinking about writing. The plot device involves a colonist in charge of building a population on a new planet who loses his supply of embryos and so forth in the landing. With the artificial "wombs" intact, he populates the planet with clones of himself.  If he wanted to introduce enough variation (without making up new genes, only rearranging) in the population to allow them to be able to reproduce naturally without inbreeding problems, would he be able to? In particular, could he make a woman?  Alternately, could a woman (without a Y chromosome) do the the inverse?  At the risk of introducing bias into the answers, the plot as it stands assumes he is a male and he CAN'T do any of the above and he is restricted to clones. What's the easiest way to install a missing Perl module? I get this error:  Can't locate Foo.pm in @INC  Is there an easier way to install it than downloading, untarring, making, etc? According to :     By looking for trades that take place in between the bid and ask, you   can tell when a strong trend is about to come to an end. This is   because these trades are often placed by large traders who take a   small loss in order to make sure that they get out of the stock in   time.   A trader when buying needs to buy at the ask price and when selling needs to sell at the bid price. So how can a trade happen 'in between' the bid and ask? We've just been learning about complex numbers in class, and I don't really see why they're called numbers.  Originally, a number used to be a means of counting (natural numbers).  Then we extend these numbers to instances of owing other people money for instance (integers).  After that, we consider fractions when we need to split things like 2 pizzas between three people.  We then (skipping the algebraic numbers for the purposes of practicality), we use the real numbers to describe any length; e.g. the length of a diagonal of a unit square.  But this is when our original definition of a number fails to make sense- when we consider complex numbers, which brings me to my main question: what is a rigorous definition of 'number'?  Wikipedia claims that "A number is a mathematical object used to count, label, and measure", but this definition fails to make sense after we extend $\mathbb{R}$.     Does anyone know of any definition of number that can be generalised to complex numbers as well (and even higher order number systems like the quaternions)? How to calculate the $H_2$ and $H_\infty$ norms of TransferFunctionModels or StateSpaceModels? Which is more idiomatic in a bash script: `|| true` or `|| :`? I don't do terribly much shell scripting, so I was a little surprised when I was reading  and I saw the syntax they used in this documentation:     A non-zero return from the command in any submodule causes the processing to terminate. This can be overridden by adding || : to the end of the command.   I had to look up that || : was a shorthand for forcing a command to exit successfully.  Anytime I've had to make a command exit successfully, I used || true.  Is || : considered to be more idiomatic? I have 41 GB of space on my E:/ drive. Is it sufficient to install Ubuntu? My Windows XP is installed in C:/ drive. Is it OK for dual boot? Should I install Ubuntu (I am installing using Live CD). I don't want to lose my Windows option. What is the best way to animate the camera path? I'm modeling a car driving along a road(speeds up, slows down, and stops at traffic lights to wait till the lights turn green, etc.) What is the best way to animate the camera path for the following scenario?   The camera starts moving from point A, and it takes 500 frames to get to point B. During this 500 frames, the camera first gradually speeds up, then moves at a constant speed, and finally slows down to a complete stop at point B. The next 50 frames, the camera will stay at point B. From frame 551, it takes another 500 frames to get to point C from point B. The camera experiences the same motion as described in #1 (speeds up, constant speed, slows down, then stop.) Again, the camera will stay at point C for another 50 frames.  Point C to D is a curve path ( added using Shift + A -> add path). I want the camera to move along the path from frame 1101 to frame 1200. The camera should have the same motion as before(speeds up, constant speed, slows down, then stop.)   What is the best way to animate the camera path in this case? Is there any Python scripts available and can be applied to case like this? Thank you all in advance for your replies. In  as well as on Wikipedia the radial coordinate of the Schwarzschild metric is described as follows:     ...the r co-ordinate is the value you get by dividing the circumference of the circle by 2π.   This circumvents (no pun intended) the problem of talking about the path outwards from the singularity, but what about the circle itself: does it have the length we would measure when flying around it (however this is done) or is it a virtual circle assuming flat space, i.e. no mass at the center. IMO 1987 - function such that $f(f(n))=n+1987$ Show that there is no function $f: \mathbb{N} \to \mathbb{N}$ such that $$f(f(n))=n+1987, \ \forall n \in \mathbb{N}$$  This is problem 4 from IMO 1987 - see, for example, .