So in order for two things $A$ and $B$ to move apart, for example, relative to each other, $B$ can be set into motion away from $A$. This means that we have to increase $B$'s velocity and therefore the acceleration has to be positive. If the acceleration has to be positive and $A$ and $B$ were stationary before, that means that $B$'s acceleration has to increase from zero and therefore the third derivative of motion with respect to time has to be positive. The third derivative has to increase from zero and etc. etc. Is this just another way to state Zeno's paradox (and thus a dumb question) or does motion really involve an increase of the magnitude of infinitely many derivatives of velocity?
Suppose you have an object with zero for the value of all the derivatives of position. In order to get the object moving you would need to increase the value of the velocity from zero to some finite value. A change is velocity is acceleration, so the value of the acceleration would have to increase from zero to some value. You would also need to increase the jerk from zero to some value to have a change in acceleration.  Is there an infinite series of higher derivatives of position for this to work? Or am I missing something?
Prove that an open interval and a closed interval are not homeomorphic Prove that an open interval $(a,b)$ and a closed interval $[c,d]$ are not homeomorphic.  I'm trying to prove this statement but have only vague ideas on how to start. How may I use the property of connectedness to show this? Is $\frac{1}{\sqrt{2}}$ a fraction or not?   I just came across a Grade 8 student's class work where the teacher has given the above as an example to differentiate fractions from rational numbers. I think this is wrong fundamentally, as $\sqrt2$ is irrational while all fractions would be rational. Please advise. Thanks! If Eren Jaeger dies without transfering his titan powers, will both powers transfer to the same child? It's told in the story that if a titan shifter dies without transferring his power, this power will go to an eldian person who just was born. If Eren Jaeger dies without transferring his titan powers, will the attack titan and the founding titan go to different persons?  Note that his is not a duplicate of  as this is not about what happens when a titan shifter dies. But what happens if a titan shifter with 2 powers dies, which is not answered in the answer. Collisions in space/vacuum redirecting openshift rhcloud domain to custom domain for SEO purposes Openshift application url: example.rhcloud.com  Custom domain: example.com  I came across this  and added the redirection rule. However, I can not access example.rhcloud.com now. My custom domain is www.example.com.  To avoid duplicate content problems, I tried this redirection.   Here is my .htaccess file:  RewriteEngine on   # Uncomment the following lines to force HTTPS #RewriteCond %{HTTP:X-Forwarded-Proto} !https  #RewriteRule .* https://%{HTTP_HOST}%{REQUEST_URI} [R,L]   # WordPress Defaults RewriteBase / RewriteRule ^index\.php$ - [L] RewriteCond %{REQUEST_FILENAME} !-f RewriteCond %{REQUEST_FILENAME} !-d RewriteRule . /index.php [L]  # Redirect Https traffic to Http RewriteEngine on  RewriteCond %{SERVER_PORT} ^443$ [OR] RewriteCond %{HTTPS} on RewriteRule  ^(.*)$ http://%{HTTP_HOST}%{REQUEST_URI} [R=301,L]   # Redirect non-www to www RewriteEngine on  RewriteCond %{HTTP_HOST} !^www\. [NC] RewriteRule ^(.*)$ http://www.%{HTTP_HOST}/$1 [R=301,L]    # Redirect openshift rhcloud domain to custom domain RewriteEngine on  RewriteCond %{HTTP_HOST} ^example.rhcloud.com$ RewriteRule (.*)$ http://www.example.com/$1 [R=301,L]   Why is example.com not redirecting to ww.example.com? How do I fix this?  Also, I see that since I have https to http redirection and non www to www redirection, my blog has been loading slow. How can I reduce it to lesser number of rules?  Edit:  In chrome:   In Firefox:     The page isn't redirecting properly, Firefox has detected that the server is redirecting the request for this address in a way that will never complete.     This problem can sometimes be caused by disabling or refusing to accept cookies. What are quarks made of? So atoms are formed from protons and neutrons, which are formed from quarks.  But where do these quarks come from? What makes them? What does the Web.Config file do in the views folder of a MVC project Ring of $\mathbb{Z}_2$-valued functions Let $R =\{f:\{1,2,3,4,\cdots ,10\}\to \mathbb{Z}_2 \}$ be the set of  all $\mathbb{Z}_2$ -valued functions on the set $\{1,2,3......10\}$  of the first ten positive integer. Then $R$ is a commutative ring with point-wise addition and multiplication of functions. Which of the following is true?     1) $R$ has a unique maximal ideal.      2) Every prime ideal of $R$ is also maximal.      3 ) The number of proper ideals of $R$ is $511$.      4 ) Every element of $R$ is idempotent.   R is finite commutative ring so  every prime ideal  is maximlal ideal ,so I think option  2 is true   .But for the other options   I am  helpless  . Show that a group of order $180$ is not simple. Gradient Boosting for Linear Regression - why does it not work? A fellow player is uncooperative with the group and gets GM favoritism. How do I handle this? I actually have two situations but they are interconnected. Our group is currently playing a Dresden game. The GM and one of the players are married. Along with that, he is a new member to the group. I can understand her (the GM) wanting to make him feel welcome but it has gone into the the realm of blatant favoritism. A few examples:   Every idea he has is deemed fantastic, wonderful, awesome and is always successful. Most of the time he doesn't have to roll to see if he succeeds; he just does. After a series of major setbacks to the other player's characters, I joked that her husband was the only one left to mess with. Her answer to that was that she would absolutely not be messing with him in the game. He and his character were safe from that. In the last session, he and another player had to make the same roll using the same skill for the same information. He needed a fair to succeed. The other player needed a great. Not the first time that has happened.    The second part of this has to do with him as well. As I said, he is new to the group. When we were discussing a game to play, it was made clear that it would be cooperative. We would all be working together to a common end. However, he will not- I mean ever- share any information with the rest of the group. No matter how vital or needed that information is to advance the story, he just smiles and says he's got nothing. To try and get around this problem, a group aspect was created. That way if a situation or information that everybody needed to know came up, a fate chip could be played and anyone who wanted to be a part of it could be present. He is totally abusing it. Now, instead of just not telling us anything, he adds give me a fate chip and maybe I'll tell you something. It's like he is trying to beat us at the game and that is not the way it was set up.    So, the question to these two situations is what do I do? How do I handle this in a rational and sensitive way? To complicate things further, the GM is my best friend. He is her husband. I don't want to put her in the middle but I am about ready to quit the game. I am tired of it being his game and everyone else being bit players. Should I talk to her or should I talk to him? If anyone has had experience with this, any advice would be appreciated. Direction of friction when a car turns When a ball moves to the right, friction acts to oppose the motion, in other words, to the left. However, when a car travels around a bend, the friction acts in the perpendicular direction to the car's velocity and provides the centripetal force. I just cannot understand why friction would act in that direction. How do I execute a command-line program from C# and get back the STD OUT results? Specifically, I want to execute DIFF on two files that are programmatically selected and write the results to a text box. QGIS - export a project with dependencies In the series finale, Admiral Janeway travels back to 2378 to take Voyager back to Earth. Out-of-universe, of course, this point in time was chosen to fit in with the continuity of the rest of the series. In-universe, however, it seems that Janeway could have chosen any point in time, since she had the ability to travel to and from the Delta Quadrant at will. Is there a reason given, in-universe, for why she chose that particular incident to travel back to? I read something that suggests that if $I$ is the $n$-by-$n$ identity matrix, $v$ is an $n$-dimensional real column vector with $\|v\| = 1$ (standard Euclidean norm), and $t &gt; 0$, then $$\det(I + t v v^T) = 1 + t$$ Can anyone prove this or provide a reference? More generally, is there also an (easy) formula for calculating $\det(A + wv^T)$ for $v,w \in \mathbb{K}^{d \times 1}$ and some (invertible) matrix $A \in \Bbb{K}^{d \times d}$? Number Theory: Prove that $m | \phi(a^m - 1)$ How to export data with tab delimiters using Apex Data Loader? The internet vaguely says that this is possible. I need this feature to export translation values from a custom object and then import this back into Salesforce using translation workbench. Translation workbench accepts:   Field delimiter: Tab Character delimiter: None   How can we achieve a tab delimited data export from a custom object using Apex Data Loader? I have a COM dll written in vb6. When I try to create a new object of a class module from this dll I get a Run timer error 430: Class does not support automation or does not support expected interface. The interesting thing is that this happens only from outside the IDE, when I am debugging from within the IDE there is no error thrown and the new object of the class is created successfully. What can be the cause?  In general I occasionally get these kind of errors in COM dlls. What is the best way to debug COM issues? How can I know the path of the dll that is being used when a program is running? How do i prove invertibility of this linear transformation Let $T$ be a linear transformation from a vector space $V$  over reals into $V$ such that $T-T^2=I$. Show that $T$ is invertible