What is G.I.S for beginner? I am 13 and I have an assessment on G.I.S soon and I don't have a clue what it is.
Explaining what GIS is to 11 year old kid? Well, since it was one of the highest rated , hasn't been asked yet, and I would love to know the answer, I thought I'd ask it.  How do I explain what GIS is for the 11 year old kid?
Why do people rule out local hidden variables? I bet the automatic response to my question would be "Bell's theorem" and of course I am not disputing Bell's proof. I am however uncertain of one of his assumptions.  The so called "no conspiracy" assumption states that we somehow posses this magical thing called free will which makes us able to break free from the causal chain of events that make us measure the $y$-axis instead of the $x$-axis and so on in experiments. Obviously this makes little sense once reviewed under the light of logic. What this naturally implies is that, if a theory is fully deterministic, it is instantly super-deterministic.  Simon Kochen and John Conway published a theorem in 2009, , which simply-put states: either everything is deterministic (super-deterministic) or every particle has free will.  Among the few who accept this to the fullest extent is Gerard 't Hooft. He has proposed that what we call sub-atomic particles are really just templates and that there is a realm beneath the quantum where the true fabric of reality is "hidden". By accepting determinism he escapes Bell's theorem (due to not having to accept the "no conspiracy" assumption) and can construct a local, deterministic and realist hypothesis of reality. In Gerard 't Hooft's model there is cellular automata somewhere near the Planck scale which gives rise to the "emergent quantum mechanics".  This means that there exist no superpositions in objective reality, the cat is always either dead or alive, no collapse of wave functions, no branching universes, non-locality or retro-causality.  The big question for me is basically: Why do people have such a hard time accepting determinism? Some will object and say "oh but it's SUPER-determinism", but that makes no sense whatsoever, either everything is determined (determinism) or only somethings are (quasi-determinism). By accepting it we escape Bell's theorem. Bell himself was well aware of this and mentioned it a few times in interviews in the 80's.  I know some are concerned that if we accept complete determinism we can no longer do science because it's all a HUGE CONSPIRACY. Gerard 't Hooft has answered critics who bring up this here: , section 6.  Additionally, another author who has taken a deeper look into the worries of "conspiracies" in QM interpretations is Peter J. Lewis in his paper  (also ).  So to all of you who dismiss local hidden variables I ask: Why? Prove that $∂A$ is closed given $∂A = \text{Cl}(A) − \text{Int}(A)$ Similar questions have been asked, but none with the given information. My textbook doesn't give me the fact that  $∂A = \text{Cl}(A) − \text{Int}(A)$. If that were the case, I could just state that definition and note that it's the intersection of closed sets.   I have very little knowledge of set theory and proofs, so I'm not sure how else to prove this. As always, I appreciate any help.  The question comes from “Introduction to Topology: Pure and Applied” by Colin Adams and Robert Franzosa.   "Let $A$ be a subset of a topological space $X$. Prove that $∂A$ is closed given  $∂A = \text{Cl}(A) − \text{Int}(A)$" Let $f_1 : [-1, 1] \rightarrow \mathbb{R};\: f_1(0) = 0 $ be a continuously differentiable function and $\lambda &gt; 1$. Consider the sequence of functions defined inductively by $f_k(x) := \lambda f_{k-1}\left(\dfrac{x}{\lambda}\right);\: k \geq 2;\: x\in [-1, 1]$. Find the pointwise limit of the sequence of functions $(f_n)$.   I figured out that $f_k(0)=0 \:\forall\: k\implies f_k\rightarrow 0 $ when $ x=0$. Also $f_k$ is continuously differentiable $\forall \:k$.   $\Bigg($Since $\quad\displaystyle\lim_{h\rightarrow0}\dfrac{f_2(x+h)-f_2(x)}{h}=\lambda\lim_{h\rightarrow0}\dfrac{f_1\left(\frac{x+h}{\lambda}\right)-f_1\left(\frac{x}{\lambda}\right)}{h}.\: $Since$ f_1 $is continuously differentiable we see $ f_2 $ is differentiable and its derivative is continuous and hence $f_k$. $\Bigg)$.  Further since $f_1(0)=0$. So I assumed $f_1(x)=x\cdot g(x)$, where $g(x)$ is continuously differentiable and $g(0)\neq0$. Assume $x\neq0,\:f_2(x)=\lambda\cdot\dfrac{x}{\lambda}g\left(\dfrac{x}{\lambda}\right)=x\cdot g\left(\dfrac{x}{\lambda}\right)\implies f_3(x)=x\cdot g\left(\dfrac{x}{\lambda^2}\right)$ $\implies f_k(x)=x\cdot g\left(\dfrac{x}{\lambda^{k-1}}\right)$.   So taking limit as $k\rightarrow \infty$, we get $\displaystyle \lim_{k\rightarrow\infty}f_k(x)=x\cdot g(0)$. Now I am not sure how to proceed or whether there is something wrong here. Please provide hints or suggestions.  $\rule{17cm}{1pt}$  To sum up (using the arguments made by $\textbf{zhw}$ and $\textbf{Paul Frost}$)  When $\displaystyle x\neq0, \lim_{n\rightarrow\infty}f_{n+1}(x) = \lim_{n\rightarrow\infty}x\,\frac{f_1(x/\lambda^n)}{x/\lambda^n} = \lim_{n\rightarrow\infty}x\,\frac{f_1(x/\lambda^n)-f_1(0)}{x/\lambda^n}=x\:f'(0).$ Thus  $$f_n\rightarrow\begin{cases}0&amp;x=0\\x\:f'_1(0) &amp;x\neq0\end{cases}=f $$ 4 fast cores or 6 slower ones? carrier concentration - distance graph of PN junction i am trying to plot the distance-carrier_concentration graph above with these formulas:   -and-  (p-side: x &lt; -xp , n-side: x &gt; xn) But i could draw only red lines on the graphs with these formulas. How can i or with what formula draw black lines on the graph that majority carrier and space charge region concentration? I am new and i need your help :) Thanks in advance. Internal microphone not working I have an internal microphone in my laptop. I think it uses Intel High Definition Audio. But I can't get it to work with Ubuntu. It doesn't work with either the Sound Recorder or Skype.  On the Input tab in 'Sound Preferences', I just see Internal Analog Input Device... What program can be used to package software into one executable? Can someone help me figure out what this TiKZ code does? Let $a, b, c \in \mathbb{N}$. Show that if $a^2+b^2=c^2$ then $gcd(a,b)=gcd(a,c)=gcd(b,c)$.  Using basic divisibility criteria I couldn't advance anything. In Harry Potter and the Deathly Hallows, when Voldemort tries to kill Harry Potter and Harry Potter travel to the Deathly hallows, that is, Kings Cross Station and he later comes back. There it has been mentioned that Voldemort had also fallen down and Bellatrix tried to support him to stand up as if she has some affection towards him.  “My Lord . . . my Lord . . . ” It was Bellatrix’s voice, and she spoke as if to a lover.  Is it true that Bellatrix Lestrange had some affection towards Voldemort? How can metagaming retries on poor skill checks be prevented? I'm sure every DM has had this happen: one PC is trying to find something cool on a dead monster's body. The player rolls poorly, and instead of accepting the paltry 2 copper pieces, the PC calls all the party members over to also try looting the corpse. Invariably, a different player rolls well, and everyone walks away satisfied that everything's been taken down to the poor dead monster's last holey sock.   Another example: One PC is trying to find some useful information in a library. There're no guards, no reason anyone would be bothered, and no time restraints to stress about. The player rolls poorly, so all the other PCs try, too.  I'd describe this as well-intentioned metagaming. The players are afraid of losing out on content, this despite multiple sessions of me making it clear that I don't structure my games to penalize gameplay that way.  These are situations that require a roll to determine the degree of success. (At least I think so; perhaps I'm wrong here?) Failure could set back the PCs a cool item or a bit of information that would have helped a little, but these minor failures aren't game-enders or anything. As a DM I can't see a reason to say "No" and disallow the practice, but it feels vaguely like cheating to let the players roll multiple times to get better results.  How do I prevent players ganging up on skill checks after they've seen someone roll poorly? In , I used quotes to demark specific terms, but after I posted the question, I wondered if I'm doing it right.  Usually, when quoting something a person says, the quotation mark goes after the comma or period, like so:     "This is my opinion," she said.   However, I sometimes use quotes not to represent something said by anyone, but instead for delineating a set term or phrase to make it clear that those words go together and none of them should be mistaken for a part of the rest of the sentence. Like this:     Should I say "stand up", "standup", or "stand-up"?   This looks weird to me:     Should I say "stand up," "standup," or "stand-up"?   ... but maybe I'm wrong about the rules.  Is it correct to use quotes in this way? And if so, are the quotes positioned correctly relative to the other punctuation marks?  Are there other alternatives for delineating terms without the use of quotes? I have two complete sentences; the second is in parentheses, essentially a comment on the first.  Where do I place the periods?  I would use this:     They played opera. (I covered my ears.)   Is this punctuation correct? Is there a way to enable/disable a wireless network interface via the command line (so I can put it in a bat file)?  When I'm in the office I use a wired connection, but Windows still occasionally bugs me about my wireless connection not being connected (even though I turned off the option for notifying me when there's no connectivity).  I'm guessing the only way to stop it from bugging me is to disable the interface, but I'd rather not have to go into the network settings every time I need to do so.  I'd like to set up a bat file or a shortcut that I can use to enable/disable the wireless (preferably a single one that toggles the current state), and then just set up a keyboard shortcut for that.  I just have no idea how to do so from the command line. How to deserialize a JSON String to Apex How can I deserialize this json object:      {     "response": {         "count": 1,         "benchmark": 0.22567009925842,         "requests": [             {                 "request": {                     "id": 537481,                     "image_thumbnail": "",                     "title": "Request for new bin(s) - residential",                     "description": "Propmain ref  3234-1114",                     "status": "submitted",                     "address": "36 Pine Tree Close",                     "location": "Peterborough, England",                     "zipcode": "PE1 1EJ",                     "user": "",                     "date_created": 1417173208,                     "count_comments": 0,                     "count_followers": 0,                     "count_supporters": 0,                     "lat": 52.599967,                     "lon": -0.233482,                     "user_follows": 0,                     "user_comments": 0,                     "user_request": 1,                     "rank": "0"                 }             }         ],         "status": {             "type": "success",             "message": "Success",             "code": 200,             "code_message": "Ok"         }     } }   What i've tried:   Map&lt;String,Object&gt; rawObj = (Map&lt;String,Object&gt;) JSON.deserializeUntyped(jsonString);     Map&lt;String,Object&gt; responseObj = (Map&lt;String,Object&gt;)rawObj.get('response');     List&lt;Object&gt; reqs = (List&lt;Object&gt;) responseObj.get('requests');     System.debug('Map Size = ' + reqs.size());     Map&lt;String, Object&gt; i = new Map&lt;String, Object&gt; ();     for (Object x : reqs) {          i = (Map&lt;String, Object&gt;)x; }     Map&lt;String,Object&gt; requests = (Map&lt;String,Object&gt;)i.get('request');     System.debug('Map Size = ' + i.size());     for (String field : i.keySet()){          Object id = i.get(field);         Object title = i.get('title');         System.debug('Id : ' + id);         System.debug('title : ' + title);          //System.debug('Title : ' + title);       } Create bootable CD from ISO How to zip a whole folder using PHP Why is the light reflected at the same angle from mirror? From the school physics I know that the material objects bounce from the plane surface at the same angle, losing some kinetic energy. In the same school I was taught that the light (and waves in general) obeys this principle too.  Obviously, in the case of light the plane surface should be a perfect mirror. But I can't understand how should this work from the quantum point of view. Let's assume that our mirror consists of a single silver atom.  Why should the electrons of this atom re-emit consumed photons at some specific angle? How to make the space under footnotes disappear? How do I make the space under footnotes disappear? And to space over the footnote's bar?    Code:  \documentclass[12pt,french]{report} \usepackage{mathptmx} \usepackage{helvet} \usepackage{courier} \usepackage[T1]{fontenc} \usepackage[cp1250]{inputenc} \usepackage[a4paper]{geometry} \geometry{verbose,margin=1in,headheight=12pt,headsep=25pt} \usepackage{fancyhdr} \pagestyle{fancy} \setlength{\parskip}{\medskipamount} \setlength{\parindent}{0pt} \usepackage{babel} \makeatletter \addto\extrasfrench{%    \providecommand{\og}{\leavevmode\flqq~}%    \providecommand{\fg}{\ifdim\lastskip&gt;\z@\unskip\fi~\frqq}% } \makeatother \usepackage{latexsym} \usepackage{pifont} \usepackage{color} \usepackage{float} \usepackage{textcomp} \usepackage{graphicx} \usepackage{setspace} \usepackage[unicode=true,  bookmarks=true,bookmarksnumbered=true,bookmarksopen=false,  breaklinks=true,pdfborder={0 0 0},backref=false,colorlinks=false]  {hyperref} \hypersetup{pdftitle={tito},  pdfauthor={abc},  pdfkeywords={kiko}} \usepackage{lipsum}  \makeatletter \usepackage{multicol} \usepackage{fancyhdr} \usepackage{multirow} \usepackage{longtable} \setcounter{secnumdepth}{4} \setcounter{tocdepth}{4} \usepackage{array} \newcommand{\ts}{\textsuperscript} \renewcommand\theparagraph{\alph{paragraph}.} \renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%                                     {3.25ex \@plus1ex \@minus.2ex}%                                     {0.5ex \@plus .2ex}%                                     {\normalfont\normalsize\bfseries}} \renewcommand*\l@paragraph{\@dottedtocline{4}{10em}{2em}}  \def\thickhrulefill{\leavevmode \leaders \hrule height 1ex \hfill \kern \z@}  \def\@makechapterhead#1{% \vspace*{10\p@}% {\parindent \z@ {\reset@font \usefont{OT1}{phv}{m}{n} \LARGE Chapitre \thechapter\par\nobreak}% \par\nobreak \vspace*{30\p@} \interlinepenalty\@M \usefont{OT1}{ptm}{b}{n} {\raggedright \Huge #1}% \par\nobreak \vskip 20\p@ \hrule height 1pt \par\nobreak \vskip 45\p@ }}  \def\@makeschapterhead#1{% \vspace*{10\p@}% {\parindent \z@ {\raggedleft \reset@font \scshape \vphantom{\@chapapp{} \thechapter} \par\nobreak}% \par\nobreak \vspace*{30\p@} \interlinepenalty\@M \usefont{OT1}{ptm}{b}{n} {\raggedright \Huge #1}% \par\nobreak \par\nobreak \vskip 45\p@ }}  \lhead{\nouppercase\leftmark} \chead{} \rhead{} \lfoot{} \cfoot{\thepage} \rfoot{} \renewcommand{\footrulewidth}{0.4pt}  \pretolerance=10000 \hyphenpenalty=10000 \exhyphenpenalty=10000  \AtBeginDocument{   \def\labelitemi{\Pisymbol{psy}{183}}   \def\labelitemii{\(\rhd\)}   \def\labelitemiii{\(\rhd\)}   \def\labelitemiv{\(\ast\)} } \makeatother  \begin{document} \chapter{Chap} \lipsum[1]\footnote{\lipsum[1]} \lipsum[1-8] \end{document} What do you call someone who is supported? Synonym for a supportee (Which doesn't seem to be a word)?  I created products that retail and we sell them and give the proceeds to charities. Trying to figure out a single word to use as a page title for those that we support were we can list the charities (With their permission of course).  Thanks