Manage content nodes using a table
Editable fields in views
I understand Big-O notation, but I don't know how to calculate it for many functions. In particular, I've been trying to figure out the computational complexity of the naive version of the Fibonacci sequence:  int Fibonacci(int n) {     if (n &lt;= 1)         return n;     else         return Fibonacci(n - 1) + Fibonacci(n - 2); }   What is the computational complexity of the Fibonacci sequence and how is it calculated? Does the std::stack in the C++ STL expose any iterators of the underlying container or should I use that container directly? Turning fullscreen on made Minecraft crash, and now it crashes on start every time I switched to full screen on minecraft, the screen turned black as if it were loading it took a while so i closed minecraft and reopened it. When I logged on it gave me a program on my taskbar saying "minecraft minecraft" then when i closed the program it gave me this error message:   java(tm) platform SE binary has stopped working.    Is there a way to fix this? So i was reading about  on Wiki and I found a interesting thing written there .    It says that the S. radius of the universe is as big as the size of the universe?   How is this possible?  Since most the universe is empty space shouldn't the S. radius of our universe be significantly smaller then 13.7 light years? How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$ is injective, then $\phi$ is also injective? How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$  (where $\phi : E \rightarrow F$ and $\psi : F \rightarrow G$) is (1) injective, then $\phi$ is injective and when (2) $\Phi$ is surjective, then $\psi$ is also surjective ?  I've tried to prove it by the definition of injection and surjection, but I'm not convinced myself by it.  For example, in the first case :  If $\Phi$ is injective, $\forall g \in G$, we have $0$ or $1$ $e \in E$ such as $\Phi(e)=g$.  $\Rightarrow \Phi(e) = \psi(\phi(e)) = \psi(f) =g$.   So $\forall f \in F$, we also have $0$ or $1$ $e \in E$ such as $\phi(e)=f \in F$.   $\Rightarrow \phi$ is injective.  Is this right or did I prove nothing at all ? I think it is easier to convince myself/ to understand with surjectivity but still.. Force as gradient of scalar potential energy My text book reads      If a particle is acted upon by the forces which are conservative; that is, if the forces are derivable from a scalar potential energy function in manner $ F=-\nabla V $.   I was just wondering what may be the criteria for force to be expressed as negative gradient of scalar potential energy and HOW DO WE PROVE IT? What will the universe look like for anyone falling into a black hole? I've heard that, from the perspective of an external observer, something falling into a black hole will eventually look "frozen": light waves will move to the infrared and further into lower frequencies.  But what about that unfortunate individual falling into such a black hole? What will he/she see when looking back at our universe?   For instance, I wonder, will it be the ultimate end of the Universe? Can someone who just crossed events horizon of the black hole still receive messages from our side? Setting Zero values back to NULL Why do harmonics occur when you pluck a string? If $x,y,z\in\mathbb R\setminus \{1\}$ and $xyz=1$, prove that $\frac{x^2}{(x-1)^2}+\frac{y^2}{(y-1)^2}+\frac{z^2}{(z-1)^2}\ge 1$. Obviously, this suggested edit should never have been approved. Because it's very, very minor.  Is it acceptable for me to "rollback" this edit? Does the suggested editor lose the +2 rep when I roll it back? Should I comment on one of his questions, explaining not to make too minor edits like this?  Is there anything I should do to notify the reviewers that approved  too minor suggested edit? Increasing the Size of Beamer Footer I work in Beamer extensively (specifically the Madrid theme). Sometimes, my "title" is quite long. Beamer puts this title at the bottom, but when it's too long it cuts it off. I'd really like to know how to increase the size of the bottom middle rectangular footer.    Here's the code (sorry for all of the packages and commands):  \documentclass[t]{beamer} %Add "mathserif" to script math lettering. "t" places all text to start at the top of each slide \usetheme{Madrid}  %Packages  \usepackage{amsmath} %Math mode \usepackage{amssymb} %Math mode \usepackage{commath} \usepackage{graphicx} %Including pictures \usepackage{color} %Define colours \usepackage{setspace} %Enables double-spacing/variable spacing \usepackage{pgfplots} %Draw graphs \usepackage{upgreek} %Insert theta symbol as unitalicized  \usepackage[version=3]{mhchem} %Chemistry equation mode \ce{} \usepackage[export]{adjustbox} %Place black borders around images \usepackage{scrextend} %Used to change font size \usepackage{caption} %Used to utilize * in caption function \usepackage{subfig} %Used to place figures side-by-side with sub-captions \usepackage{siunitx} %SI Units (+ scientific notation) \usepackage{cancel} \usepackage{fancybox} %\usepackage{enumitem} %Making lists %\usepackage[english]{babel} %Lists with letters  %Erases Beamer Navigation Symbols on the bottom left \setbeamertemplate{navigation symbols}{}  %\setbeamertemplate{footline}{} \captionsetup[subfigure]{labelformat=empty}  %Defined Colours \definecolor{orangered}{RGB}{255,69,0} \definecolor{darkgreen}{RGB}{0,100,0}  \definecolor{firebrick}{RGB}{178, 34, 34} \definecolor{navy}{RGB}{0,0,128} \definecolor{lightsteelblue}{RGB}{176,196,222} \definecolor{steelblue}{RGB}{70,130,180} \definecolor{darkslateblue}{RGB}{72, 61, 139} \definecolor{forestgreen}{RGB}{34, 139, 34} \definecolor{Gold}{RGB}{218,165,32}  %Defined Colour Theme and List Sizing \setbeamercolor{structure}{fg = Gold} \setbeamertemplate{navigation symbols}{}  \setbeamerfont*{itemize/enumerate body}{size=\normalsize} \setbeamerfont*{itemize/enumerate subbody}{parent=itemize/enumerate body} \setbeamerfont*{itemize/enumerate subsubbody}{parent=itemize/enumerate body}  %Opening Title Page \title{Chapter 7 - Absolute Value and Reciprocal Functions} \subtitle{Section 7.3 - Absolute Value Equations} \date{}  \begin{document}     %Slide 1     \maketitle \end{document} I am making a fudge recipe that calls for 1cup whole milk and 5 cups sugar. It also uses 2 sticks of butter and 25 marshmallows. I'm wondering if I can omit the milk and cut back on the sugar by using sweetened condensed milk. I just want to know if my proof to this question is correct. First, I proved it was true for $n = 4$. $$4!&gt;2^4$$ $$24&gt;16$$ Then, I assumed that it was true for $n=k$. $$k!&gt;2^k$$ Afterwards, I tried to prove it for $n=k+1$. $$(k+1)!&gt;2^{k+1}$$ $$(k+1)k!&gt;(2)(2^k)$$ Since $k!&gt;2^k$, am I allowed to simply do $$(k+1)(2^k)&gt;(2)(2^k)$$ $$(k+1)&gt;2$$ and this is true for all $k\geq3$. Would the last two steps be illegal because I only assumed that $k!&gt;2^k$ is true? C++ preprocessor __VA_ARGS__ number of arguments How can I execute a file without giving myself execute permissions (with chmod u+x) for it?   If I try and tick the 'Allow executing file as program' checkmark, the checkmark is immediately removed. Why do we age? or Do we have a theory of senescence? There seem to be a number of ideas about why we age. Hypotheses include the gradual accumulation of cell metabolic products affecting organism function and the reduction of  during cell division. My hand-wavey idea would be "wear and tear".  Are we anywhere near a consensus theory of senescence? Recursive bash script to collect information about each file in a directory structure How do I work recursively through a directory tree and execute a specific command on each file, and output the path, filename, extension, filesize and some other specific text to a single file in bash. Usage of singular or plural SI base units when written in both symbol as well as name I have multiple doubts related to the usage of singular or plural SI base units when written in both symbol as well as name.  I have framed this question under two parts, namely, Part (a) and Part (b). Each part has three sentences which I have written on the basis of my understanding.  Please answer these 6 sentences/questions.   Part (a):   says that while using prefix for e.g., centi as in centimeter, it is   l = 75 cm long.(correct) l = 75 cms long. (wrong)    Does this rule is used for all SI prefixes (having powers of 10)? In this regard, we should be saying, or writing that, "how many cm are there in one metre?" (while saying we should say centimter or centimetres?) Please strike-through the wrong SI unit in the following sentences.  My weight is 70 kg / kgs,  or My weight is 70 kilogram / kilograms.   Part (b):  and the page next to above web link says, we should write:  2.6 m/s, or 2.6 metres per second.   In this regard, we should say, or write:   Its speed is 0.26 metres per second.  This pipe is 0.75 metres long. How many cm are there in 2 metres? Why is compactness so important? I've read many times that 'compactness' is such an extremely important and useful concept, though it's still not very apparent why. The only theorems I've seen concerning it are the Heine-Borel theorem, and a proof continuous functions on R from closed subintervals of R are bounded. It seems like such a strange thing to define; why would the fact every open cover admits a finite refinement be so useful? Especially as stating "for every" open cover makes compactness a concept that must be very difficult thing to prove in general - what makes it worth the effort?  If it helps answering, I am about to enter my third year of my undergraduate degree, and came to wonder this upon preliminary reading of introductory topology, where I first found the definition of compactness.