So I was thinking... If heat I feel is just lots of particles going wild and transferring their energy to other bodies, why am I not burned by the wind?  When I thought about it more I figured out that wind usually carries some humidity, and since particles of liquid are moving same speed as the wind, they are basically static relative to each other, so no energy is transferred between them (wind and water particles). And if that water sticks to my skin and wind blows, it'll evaporate thus taking energy from my skin and make me feel cold.  Thing is, I don't think that's really the case but even if it is, if I somehow dry out the wind, will it burn me if it's strong enough? And winds can reach some pretty high velocities (though I must admit I'm not sure if they are comparable to movement of atoms in warm bodies etc...).  So. Bottom line. Can I be burned by wind in some perfect scenario?
In (non-relativistic) classical physics, if the temperature of an object is proportional to the average kinetic energy ${1 \over 2} m\overline {v^{2}}$of its particles (or molecules), then shouldn't that temperature depend on the frame of reference - since $\overline {v^{2}}$ will be different in different frames?  (I.e. In the lab frame  $K_l = {1 \over 2} m\overline {v^{2}} $, but in a frame moving with velocity $u$ relative to the lab frame, $K_u =  {1 \over 2} m \overline {(v+u)^{2}}$).
Which is correct, "neither is" or "neither are"? On Groups of Order 315 with a unique sylow 3-subgroup . in Dummit and Foote , an exercise asked me to prove that , if $G$ is a group of order $315$ , $G$ has a normal sylow $3$-subgroup then , $G$ is abelian .  this is exercise number $27$ , section $5$ , chapter $4$  my method on proving this is showing that $ |G| = |Z(G)|$ as follows   i showed that $|Z(G)|$ $\in$ ${ 9 , 63 , 45 , 315 } $  and  showed that$ |Z(G)|$ is not $63 , 45$ or $9$   so it must be $315 $  but i showed this under two condition ,   first condition: if $X$ is the set of all elements of $G$ of order $5$ , $H$ is the subgroup generated by $X$  then $|H|$is not $315$  second condition : also , if $Y$ is the set of all elements of $G$ of order $7$ , $N$ is the subgroup generated by $Y$ then $|N|$ is not $315$   so , if those two condition are then my method of proving works .   but i don't know how to prove those conditions .   any help ? The number of labelled graphs with all vertices of even degree I have a graph exam tomorrow, and there is a problem that said number of graph with labeled vertices and all of them of even degree is $ 2^{n-1 \choose 2} $.  According to that topic, it means the number of cut spaces is $ 2^{n-1} $. Well, I don't understand what is cut space yet, and why its count is $ 2^{n-1} $ And don't  know why we should divide the total number of graphs by this! Website giving pronunciations of English words recorded in different dialects? I'm aware that there are certain websites around that provide recorded examples of English words pronounced in different accents/dialects.  Could anybody list some of them? On exactly what criteria is the Electorate badge awarded? There is a badge named Electorate which is going to be awarded on "Voted on 600 questions and 25% or more of total votes are on questions". Can somebody explain this to me?  Voted on 600 Question and 25% are on Question? is this  means   Voted on 600 Posts and 25% are on Question  Can't SO place some easy text or Definitions for average users? I can't install Rainlendar 2 on my Ubuntu 18.04, I found this solution for 16.04 (), followed it, seems to work, but after install, there's no Rainlendar in my Show Apps, so I'm not sure what went wrong. When I issued sudo dpkg -i rainlendar2-pro_2.12.2.b138-1_amd64.deb, I got this:   Selecting previously unselected package rainlendar2-pro. (Reading database ... 190677 files and directories currently installed.) Preparing to unpack rainlendar2-pro_2.12.2.b138-1_amd64.deb ... Unpacking rainlendar2-pro (2.12.2.b138-1) ... dpkg: dependency problems prevent configuration of rainlendar2-pro:  rainlendar2-pro depends on libpng12-0; however:   Package libpng12-0 is not installed.  rainlendar2-pro depends on tofrodos; however:   Package tofrodos is not installed.  rainlendar2-pro depends on libjpeg62; however:   Package libjpeg62 is not installed.  rainlendar2-pro depends on libwebkitgtk-1.0-0; however:   Package libwebkitgtk-1.0-0 is not installed.  dpkg: error processing package rainlendar2-pro (--install):  dependency problems - leaving unconfigured Processing triggers for gnome-menus (3.13.3-11ubuntu1) ... Processing triggers for desktop-file-utils (0.23-1ubuntu3.18.04.1) ... Processing triggers for mime-support (3.60ubuntu1) ... Errors were encountered while processing:  rainlendar2-pro   I got this after issuing this command in terminal sudo apt-get -f install  Reading package lists... Done Building dependency tree        Reading state information... Done Correcting dependencies... Done The following packages will be REMOVED:   rainlendar2-pro 0 upgraded, 0 newly installed, 1 to remove and 35 not upgraded. 1 not fully installed or removed. After this operation, 20.5 MB disk space will be freed. Do you want to continue? [Y/n] y (Reading database ... 191316 files and directories currently installed.) Removing rainlendar2-pro (2.12.2.b138-1) ... Processing triggers for mime-support (3.60ubuntu1) ... Processing triggers for desktop-file-utils (0.23-1ubuntu3.18.04.1) ... Processing triggers for gnome-menus (3.13.3-11ubuntu1) ...   What I'm doing wrong? After the last command it just removed Rainlendar and not installing dependencies as stated in the original post? TIA I'm writing a report, in LaTeX. And I need to include, as appendices, other latex documents I have written. I am currently doing this using pdfpages and it works. However, the inserted PDF has no page numbers and it overlays my base documents page numbering, resulting in no page numbers on the PDF pages. My questions:   How to solve the above problem. Is there a better way to do this. Does $f(x) = f(2x)$ for all real $x$, imply that $f(x)$ is a constant function? If a Continuous function $f(x)$ satisfies $f(x) = f(2x)$, for all real $x$, then does $f(x)$ necessarily have to be constant function? If so, how do you prove it? If not any counter examples? How to raise a complex number to the power of another complex number? How do I calculate the outcome of taking one complex number to the power of another, ie  $\displaystyle {(a + bi)}^{(c + di)}$? I found this very amusing comic on the internet the other day:   The last frame seems to claim that the harmonic series converges if you throw out all the terms with a $9$ in the denominator. Is this true? Where could I find a proof? Is it only true for terms with a $9$ or is it true for any number? If it's only true for $9$, why is that? A better serial voting trap Currently we capture fanatic, voting ring or rage-type activities, by measuring the number of up-votes or down-votes between the same two users in a certain (relatively short) time period. When this is detected by the system, the votes are reversed, and I've never bothered to investigate what else happens after that - though I'm sure some form of wrist-slapping ensues.  While it is intended to be well-guarded for obvious reasons, the algorithm used is not exactly a secret, and I am sure there are plenty of examples where people are dangling (maybe intentionally, or maybe by dumb luck) just on the safe side of getting caught.  Personally I believe there are active, intentional, long-term vendettas in operation right now where users either:   blindly up-vote every answer from a user; or, down-vote a particular user once or twice a day, regardless of topic or quality.   Now, maybe the first one is valid - if I'm operating in the same tag-sphere as some smart person, it may just be that I'm constantly enthralled with their answers, and I'm not even noticing who they're written by. (Though, even Skeet isn't perfect, and I haven't up-voted every answer I've seen him post.)  But still, can we do a better job of catching - or at least noticing - this activity over the long term in addition to the short term?  The behavior is the same, and shouldn't be tolerated, regardless of the time frame - vengeful rage serial voting, blind staker crush serial voting, and painstakingly patient serial voting are all undesirable behaviors IMHO.  I'm not saying it has to do anything automatically, as I'm well aware of the possibility of false positives. And I'm not even sure what to propose as a time frame or a vote threshold.      But if a large percentage of my up-votes or down-votes are against a particular user, and especially if on a majority of those posts I am the only one voting in that direction, I think it should at least be raised as some kind of flag to moderators.   This would work much like how other suspicious activity is highlighted (but also not dealt with automatically). If a pattern becomes obvious and persists, then they can intervene in some way (or not, but at least they were provided with the information - just like they can reject and ignore manual flags). Today, all I can do is e-mail team@stackoverflow.com, and unless I know exactly which person(s) are involved, there is not much they can do about it.  And you're thinking, "Meh, let some hater down-vote you once or twice a day. Unless all you're posting is utter crap, it should be statistically insignificant." You're right. But reputation is not the point, and is not the motivation behind my request. What I'd like to see curtailed is the tendency for folks to down-vote a question or answer because of who posted it, not because of what it said or didn't say. When a down-vote is personal it can leave a person second-guessing the quality of their post. Which isn't necessarily a bad thing, except when it happens repeatedly.  Sorry for the essay but I wanted to try to anticipate and cover all the objections and hole-poking. I recently purchased an ASUS K55A. Like all Windows 8 machines, it come with a UEFI feature called Secure Boot. This basically makes sure that the laptop won't load anything other than the Windows 8 OEM version that came with it.  However the Asus UEFI allows for me to disable Secure Boot, and therefore I should be able to revert to Windows 7, Linux, etc. (drivers may or may not be supported). When I insert my Linux Mint boot disc and try to boot from it, though, nothing happens. There isn't even a boot priority list in the UEFI settings (I can provide screenshots later). It just says "Windows 8 Bootloader" and also on the other tab it says "WINDOWS 8 BOOT OVERRIDE".  Has anybody purchased a Windows 8 machine and successfully installed Windows 7 or Linux on it? How do I bypass restrictions on the length of the PATH variable System Properties      This environment variable is too large. This dialog allows setting values up to 2047 characters long.   I use/have used a lot of software, and my PATH has grown as a result. When I try to add new paths, I get the above message. As a workaround, I'm editing my user path, but prefer not to. Make account merges propagate to chat When two accounts are merged, all the posts/votes are moved over to the "master" account, and the other account ("slave"?) is deleted. The merge is propagated network-wide, so a similar thing happens on each site.  But, this does not happen to the chat user. The "slave" chat user is kept, with a 404 parent profile link. I feel that the chat user should be merged as well, re attributing all the chat messages.  Thoughts? How to prove $x^{n}$ is not uniformly continuous How to prove $x^{n}$ is not uniformly continuous on the interval $[0, +\infty)$? Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$ I've read through the elementary proof of why there exists a solution $x$ to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$ for $p$ an odd prime. Is there a group theory generalization for this fact as well? Why does the new review page sometimes shows questions to vote to close without anybody having voted to close it? I am looking for information on Heinrich Märte (my grandfather) and his family. He was born on July 1, 1912 in Sipplingen and died On April 19, 1944 when the military plane crashed in Geierswalde because its engine failed.  I am not sure if his family knows that he fathered my dad. I am hoping someone knows of him or his family. I would love to know how he met my grandmother or any further information on him.   We have always had two photo's of him, but never knew his name. We have only just found out about him and it has opened so many more questions.  How can I determine Heinrich's parents and siblings, and then locate any living family members? Possible Duplicates:             I heard a professor of mathematics explaining that the following conslusions are true.   $\textrm{False}\Rightarrow \textrm{True}$ $\textrm{False}\Rightarrow \textrm{False}$   Could someone please explain to me why both conclusions are true? I am especially interested in the first case. I'd like to hear two explanations if possible: One for mathematicians and one for non-mathematicians. :-) I have a dictionary of values read from two fields in a database: a string field and a numeric field. The string field is unique, so that is the key of the dictionary.  I can sort on the keys, but how can I sort based on the values?  Note: I have read Stack Overflow question here  and probably could change my code to have a list of dictionaries, but since I do not really need a list of dictionaries I wanted to know if there is a simpler solution to sort either in ascending or descending order.