What steps would an amateur scientist have to take in order to get a scientific breakthrough published?
I believe I have solved a famous open problem. How do I convince people in the field that I am not a crank?
How do I use sudo to redirect output to a location I don't have permission to write to? onChange event doesn't trigger Why can't energy be created or destroyed? Where does the idiom "beating around the bush" come from? Where does the idiom "beating around the bush" come from? Near Earth vs Newtonian gravitational potential Newton's Law of Universal Gravitation tells us that the potential energy of object in a gravitational field is $$U ~=~ -\frac{GMm}{r}.\tag{1}$$  The experimentally verified near-Earth gravitational potential is  $$U ~=~ mgh.\tag{2}$$  The near-Earth potential should be an approximation for the general potential energy when $r\approx r_{\text{Earth}}$, but the problem I'm having is that they scale differently with distance.  $(1)$ scales as $\frac 1r$.  So the greater the distance from the Earth, the less potential energy an object should have.  But $(2)$ scales proportionally to distance.  So the greater the distance from the Earth, the more potential energy an object should have.  How is this reconcilable? Changing the homepage Is it possible to change the Home page so it's not a blog, but a page? And also is it possible to change the name of the homepage?  If yes, how is this done?  Thanks, Richard Why does local fn=$(...) mask the $? status code Two function definitions, the only difference is that the first combines the local storage keyword with the assignment, while the second separates them:  function foo {     local fn=$(mktemp -p /path/does/not/exist 2&gt;/dev/null)     echo $? }  function bar {     local fn     fn=$(mktemp -p /path/does/not/exist 2&gt;/dev/null)     echo $? }  foo bar   This echoes "0" then "1". I expect it to echo "1" then "1". It seems like the value of $? is the result of the assignment to local, rather than the result of the command substitution.  Why does bash 4.2.46(1)-release behave this way? I know how to CALCULATE dot product, but still don't understand MEANING of it.  I mean, If I have to explain vector addition I would say that "Sum of two vectors give you the third vector that has the same effect as other two combined"  But I don't know how to explain dot product. For example we have two vectors: v=(3,1) and w=(2,4). Dot product of these two is 3*2 + 1*4 = 10. What does this result (10) tell us? Update to Windows 10: What is going to happen to my data and apps? I have Windows 8.1 Update, if I update to Windows 10 when it becomes available what is going to happen to my data and apps?  Of course I have to do a backup, but I wonder if the data will be overwritten or not. What do I need in order to create an application for ubantu? don't really understand how to log on with your SE account in the new logon screen.  And although it might be obvious to most of us, some people find the new dialog hard to understand.        Can we add a logo and some text to make clear users can log on with their SE account? Something like:     [SE LOGO] Log on using your StackExchange account   Followed by the two boxes for email and password. Rest mass of the photon Why is the rest mass of the photon is taken to be zero?  If rest mass of the photon is non zero, then it leads to infinite energy of the photon (by $E=mc^2$ equation) and there is a violation of conservation of energy. Is this a reason?  Also, is there any thing called the relativistic mass of the photon? Prove or disprove that $f(x) = \sin x/x$ is uniformly continuous over the interval $(0,1)$? I am thinking of $\lim_{x \to 0} \ {f(x)} = 1$ but I am confused as $x=0$ is not in the domain and also I want to write an $\epsilon$-$\delta$ proof. So any help is much appreciated!  Thanks! How to install Minecraft (Client) How to correctly install Minecraft, including setting any needed packages or apps to install it and to troubleshoot the most common problems that Ubuntu users face when trying to use Minecraft.  I am trying to install and run Minecraft without first having to install the Oracle version of Java. I want to use the OpenJDK version that comes with Ubuntu and as a last resort, use the Oracle one.  I also want to know a list of problems related to Minecraft in Ubuntu and the possible solutions to them.  A step by step guide on how to install Minecraft would also help. Consider the brief passage:     "I love your work, but calling you 'the artist' {1} just doesn't seem to be   cutting it anymore. What shall I call you?"      "OK. Call me George." {2}   So my instincts tell me to put {1} in single quotes as opposed to no punctuation (or perhaps even italics) but to do the opposite for {2}. Is this right? Why?  Let me expand this one further iteration:     "Wow, that's a great name, especially with this crowd. Maybe for your next book    you should call yourself Ringo."{3} Why are home networks prefixed with 192.168? Why are home networks prefixed with 192.168 ?  Why those numbers?  For some historical reasons? Difference between administrative and user mode of MiKTeX In node.tpl.php, I have done some changes, like creating an array of paragraphs:      $paragraphs = explode("&lt;p&gt;",render($content));   So, I have a for loop for showing the paragraphs, like:  $number = count($paragraphs); if($page){   print render($paragraphs[0]);   for ($i=1;$i&lt;$number;$i++)       {          print render($paragraphs[$i]);        &lt;a href="#commenting"&gt;Put comment for Paragraph &lt;?php echo $i?&gt;&lt;br&gt;&lt;/a&gt; &lt;?php  } ?&gt;     &lt;a id="commenting"&gt;&lt;?php print render($content['comments']); ?&gt;&lt;/a&gt; &lt;?php }?&gt;   As you can see I want to create a hyperlink under each paragraph, so when user click on it, they can put comment on the paragraph, But right now, when they click on the hyperlink, it will  jump to the end of the page, which has the comment form.  If you check the CommentPress website, in the right column, you can see for example, it is said: 5 Comment on Paragraph 1, and when you click on it, it will show the comments and the comment form under that link, I want to have the same thing, I mean, when users click on the link under each paragraph, the comment form displays under that link instead of jumping to the end of the page. Proving inequality $(a+\frac{1}{a})^2 + (b+\frac{1}{b})^2 \geq \frac{25}{2}$ for $a+b=1$ Why do we need sigma-algebras to define probability spaces? We have a random experiment with different outcomes forming the sample space $\Omega,$ on which we look with interest at certain patterns, called events $\mathscr{F}.$ Sigma-algebras (or sigma-fields) are made up of events to which a probability measure $\mathbb{P}$ can be assigned. Certain properties are fulfilled, including the inclusion of the null set $\varnothing$ and the entire sample space, and an algebra that describes unions and intersections with Venn diagrams.  Probability is defined as a function between the $\sigma$-algebra and the interval $[0,1]$.  Altogether, the triple $(\Omega, \mathscr{F}, \mathbb{P})$ forms a probability space.  Could someone explain in plain English why the probability edifice would collapse if we didn't have a $\sigma$-algebra? They are just wedged in the middle with that impossibly calligraphic "F". I trust they are necessary; I see that an event is different from an outcome, but what would go awry without a $\sigma$-algebras?     The question is: In what type of probability problems the definition of a probability space including a $\sigma$-algebra becomes a necessity?       provides a plain English accessible explanation. The idea is a spinning pointer rotating counterclockwise on a circle of unit perimeter:       We begin by constructing a spinner, which consists of a circle of unit   circumference and a pointer as shown in [the] Figure. We pick a point   on the circle and label it $0$, and then label every other point on the   circle with the distance, say $x$, from $0$ to that point, measured   counterclockwise. The  experiment  consists  of spinning the pointer and    recording the label of the point at the tip of the pointer. We let the random   variable $X$ denote the value of this outcome.  The sample space is   clearly the interval $[0,1)$.  We would like to construct a   probability model in which each outcome is equally likely to occur. If   we proceed as we did [...] for experiments with a finite number of   possible outcomes,  then we must assign the probability $0$ to each   outcome,  since otherwise,  the  sum  of  the  probabilities,  over    all  of  the  possible  outcomes,  would not equal 1.  (In fact,   summing an uncountable number of real numbers is a tricky business;    in  particular,  in  order  for  such  a  sum  to  have  any  meaning,   at  most countably many of the summands can be different than $0$.)    However, if all of the assigned probabilities are $0$, then the sum is   $0$, not $1$, as it should be.   So if we assigned to each point any probability, and given that there is an (uncountably) infinity number of points, their sum would add up to $&gt; 1$.