If we have, say, a material point with a zero velocity at the time $t=0$, and this point starts moving at a time $t&gt;0$ , then we look at the force impressed on the point by inspecting the second derivative of the motion of the point. If our point follows a motion law of $e^{-\frac{1}{t^2}}$, then we have that all derivatives at $t=0$ are $0$. So my question is, why doesn’t this go against Newton's second law? To me it is like there is a correspondence between successive derivatives and the force impressed.
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?
Set String via String.prototype function without return Understanding English (Listening skills) Why is Android File Transfer necessary? Apparently newer versions of Android require the use of Android File Transfer. I have an older machine that doesn't require this, and just mounts as a USB mass storage device. I can't see a technical reason why Android File Transfer is now required when it used not to be.  What changed in order to make this necessary? Why is it necessary? Getting "Authentication is required" when trying to access the Play Store Over the past week, whenever I try  to open the Play Store/Market app on my phone, the app thinks for a while and then displays this error message:     Authentication is required. You need to sign into your Google Account.   But I am indeed signed into my Google account, as seen in other Google applications running on the phone, and as seen if I open the menu in the Market app and click the "Accounts" button.  I suspect this might be related to the fact that over the past few months I've had two different Google accounts synced to this device, and I have recently removed one of them from the phone. No other Google application has had any problems with removing one account.  Does anyone know how I can solve this issue? I can still install applications by using the market website (now "Google Play"), but this is still a big inconvenience. I also think I stopped getting updates. I got a problem while making a model of a product. I have tried a lot even seen lots of tutorial but did not get the thing that i want. I am using Blender 9.92 and I am just a beginner I got my hands on Blender 7-8 days ago. I've just basic knowledge about I am trying to model a product &quot;Mattress Topper&quot;   This is the exact look of the product, Help me how i can model this product and render realistic images. Math.cos() gives wrong result My created page with link  The 404 page after following my new url. Where does gravitational waves' energy go? Should I use the singular or plural verb in mathematical formulae ("Two and two make/makes four")? Is it alright to use lowercase "i" or should you always use "I" (uppercase)? I'd like to do something like this to tick a checkbox using jQuery:  $(".myCheckBox").checked(true);   or  $(".myCheckBox").selected(true);   Does such a thing exist? How can I reliably and accurately identify the passive voice in writing or speech? I'm not interested in advice about whether or not to use it yet... I just want to know for sure what it is, so that I don't look as stupid as . How can author deal with late reviews? Connection pooling in PHP Is it possible to cache database connections when using PHP like you would in a J2EE container?  If so, how? Which are the most advanced frameworks and tools there are available for python for practicing Behavior Driven Development? Especially finding similar tools as rspec and mocha for ruby would be great. How can an encryption scheme be indistinguishable with multiple messages but vulnerable to an adaptive chosen-plaintext attack? In order to be indistinguishable with respect to multiple messages, wouldn't the scheme need to be nondeterministic? How would this then possibly be vulnerable to an adaptive CPA? On , I have my favorite tags filter. I setup email notifications for it and now I'm thinking I overdid it on the frequency. Trying to change the settings, I clicked on the edit link in the email notifications box to the right, except nothing happens. There are no JavaScript errors and the HTML for the link is simply &lt;a class=&quot;edit&quot;&gt;edit&lt;/a&gt;. This seems like unfinished planned feature. Update: Using Chrome Version 29.0.1547.66 m Same on Firefox 23.0.1  Both edit links are not working. Further Update Events capture:  Update 2014-02-03: Here's what the subscription tab in the network profile looks like. This is how I'm approaching it: let $R$ be a finite integral domain and I'm trying to show every element in $R$ has an inverse:   let $R-\{0\}=\{x_1,x_2,\ldots,x_k\}$,  then as $R$ is closed under multiplication $\prod_{n=1}^k\ x_i=x_j$,  therefore by canceling $x_j$ we get $x_1x_2\cdots x_{j-1}x_{j+1}\cdots x_k=1 $,  by commuting any of these elements to the front we find an inverse for first term, e.g. for $x_m$ we have $x_m(x_1\cdots x_{m-1}x_{m+1}\cdots x_{j-1}x_{j+1}\cdots x_k)=1$, where $(x_m)^{-1}=x_1\cdots x_{m-1}x_{m+1}\cdots x_{j-1}x_{j+1}\cdots x_k$.   As far as I can see this is correct, so we have found inverses for all $x_i\in R$ apart from $x_j$ if I am right so far. How would we find $(x_{j})^{-1}$? I have a collection that contains linked assets. I would like to override their materials and give them a unique material. Is it possible to assign a material to a whole collection, and how ?  Thanks ! How to split a string with any whitespace chars as delimiters What regex pattern would need I to pass to  java.lang.String.split()  to split a String into an Array of substrings using all whitespace characters (' ', '\t', '\n', etc.) as delimiters?