Biological functions of Mystique when morphed
Can Mystique create objects?
How to extend USB beyond the recommended maximum cable length of 5m? I'm planning to use USB port for an application(from a device to a PC) but the distance between the device and the PC will be around 15m. The recommended maximum USB cable length is 5m.  How can I buffer the data without loosing any information, safely? Would a USB hub work? $\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$. I've tried, but I can't solve the question. Please help me prove that:  $\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to  $U_n$. Why is 'ping' unable to resolve a name when 'nslookup' works fine? On my Windows XP workstation, I can find the machine I want to connect to in DNS with nslookup:  nslookup wolfman Server: dns.company.com Address: 192.168.1.38  Name: wolfman.company.com Address: 192.168.1.178   But, when I try to connect to that machine, I get an error telling me that the machine can't be found (i.e., can't be looked up in DNS):  C:\&gt; ping wolfman Ping request could not find host wolfman. Please check the name and try again.   I am able to connect if I use the IP address directly:  C:\&gt; ping 192.168.1.178  Pinging 192.168.1.178 with 32 bytes of data:  Reply from 192.168.1.178: bytes=32 time=41ms TTL=126 Reply from 192.168.1.178: bytes=32 time=41ms TTL=126 Reply from 192.168.1.178: bytes=32 time=44ms TTL=126 Reply from 192.168.1.178: bytes=32 time=38ms TTL=126   I could work around this by adding an entry to my hosts file, but I would rather find out why this is happening.  The problem is transient, most of the day I can connect to the machine just fine.  How is this possible?  ETA: I left this out for brevity, but it was asked for:  C:\&gt; ping wolfman.company.com Ping request could not find host wolfman.company.com. Please check the name and try again.   ETA: Other applications get the same results.  I only tried ping to simplify.  telnet can't connect, Cygwin apps print a "unknown host wolfman" message.  Update: Using wireshark, I found that my workstation is not attempting a DNS lookup.  It's just reporting the "could not find host" error message. Aliased edge around light source in cycles Often when a mesh light is visible in the camera, the edges are not anti-aliased.  No matter how many samples I do, the lamp border always looks jagged and pixelated.  Is this a rendering error? How can I get around this issue?    And zoomed in 4x: Why sum of two little "o" notation is equal little "o" notation from sum? Why sum of two little "o" notation is equal little "o" notation from sum?  $o( f(n) ) + o( g(n) ) = o( f(n) + g(n) ) ?$  For example:   $f(n) = n^3$  $g(n) = 1/n$   so    $o(f(n)) = n^2$  $o(g(n)) = 1/n^2$   and    $o( f(n) ) + o( g(n) ) = n^2 + 1/n^2$ $o( f(n) + g(n) ) = n^2$   Of course, I could write it like   $o( f(n) ) + o( g(n) ) = n^2 + o( g(n) )$ $o( f(n) + g(n) ) = n^2 + o( g(n) )$   My question is why? I don't understand it, because in first we always get two parameters. I want to include something in my LaTeX article that will make all mathematical formulae appear in black, while all text (including everything inside \text{}s in the middle of mathematical formulae) appear in red.  Ideally I would like this to be something I could include in the preamble or in a .cls file or something like that.  What would be the quickest way to do that? Does Stack Exchange use caching and if so, how? Version tags reloaded I'm getting sick of version numbers in tag names (aka version tags). Look,      I just want them all to be just . They are all about JSF. I browse and answer questions about JSF. I don't want to browse in all those different tags. I don't want gold badges for both  and . I can't hammer a duplicate  question because I don't have a gold badge for that. Across years I observed that a version tag is usually only picked by the asker when a &quot;relatively new&quot; or &quot;relatively old&quot; version is being treated in the question. When the &quot;currently mainstream&quot; version is being treated,  or when the asker is &quot;more proficient&quot; in the language, then askers often just pick the versionless . While moving in time, this may cause confusion by future readers when the version isn't explicitly specified anywhere in the question. I try to maintain them by adding/removing the version tag depending on its relevance, and by adding the versionless tag when it's absent. It only feels a neverending story. I'm sure other tag caretakers also have mixed feelings on this. I propose to normalize the version from the tag name:  Ban version numbers in tag names in the model (not in the UI). Add an optional single-choice version field to the Tag entity in the model. Users with edit privileges (no suggested edits please) must be able to change versions. Users with gold tagbadges must be able to add and edit versions. I'd imagine the version edit thing to be reachable via that tag info popover (when you hover the tag). Tags themselves however should look exactly the same, the version just separated with e.g. a hyphen from the tag name.  When in place, migration of existing version tags should be piece of cake. There's apparently already a script in place which recognizes version tags, it could be reused to re-match current tags and extract the version from it into the new version field. The alternative would be to automatically add the versionless tag when a version tag is being used. But this is IMO only tag pollution.  I'm posting this on meta.se instead of meta.so because version numbers aren't only on SO a problem, but on basically all HW/SW related sites. Gauss's law not making sense If we have a point charge and outside of it we have a non-conducting Gaussian sphere, then Gauss's law says that the net flux should be zero. I agree that the total field lines coming in are equal to the number of field lines coming out, but isn't it true that the magnitude of the electric field at those segments of the sphere where the field is coming in is greater than those where it is coming out? So when we integrate, wouldn't these areas, having a greater electric field, contribute more to the net flux? I don't see why they would cancel each other out. Add existing ssh key for git How do I check if an integer is even or odd? Duplicate auxiliary verbs in a sentence (may we / should we delete the second?) How to prevent Windows 10 from automatically adding keyboard layouts (i.e. US keyboard) Update: this is a lengthy post, you can     Note: The quick language list refers to the list in the screenshot below, accessible throught the shortcut Win + Space bar  I have two languages for windows spell check in my system, English (United States) and French (Switzerland), but despite both languages being properly configured with "Swiss French" input keyboard, US Keyboard input keeps appearing on this list:    Here's the settings for English (United States) language, you can see the only input is "Swiss French":    Same for Français (Suisse), the only input is "Swiss French":    In the Control Panel, both are also set as Swiss French:    All my settings are set to use "language list":     Here's a few things that I already tried:   I already managed to remove it by some language configuration gymnastics, by adding and removing languages, it always eventually comes back I have already done this:  There's no mention of US Keyboard in my registry settings either:     Please help, I'm desperate, this is my third computer with Windows 10 and they all do the same thing. Can anybody explain about real linear space and complex linear space? This is definition      "A real linear $V$ is said to have an inner product if for each pair of elements $x$ and $y$ in $V$, there corresponds a unique real number $(x.y)$ satisfying what we know as axioms for inner product."    What does it mean? $(x.y)=xy$ and $xy$ is a real number?   When $(x.y)$ is complex, it is called complex space, does that mean that $(x.y)=xy=$ complex?   I don't understand what inner product is. Problem installing .deb in Software Install Ubuntu 20.04 I tried to install some .deb files in Ubuntu 20.04 from GitHub and other internet sources, but when I open it with Software Install it gives me  problem (Failed to install file: not supported). The only way for me to install them is to go to the downloaded file and do sudo dpkg -i file.deb. Can anyone help? I don't know what to do and I don't want to use the terminal every time. Any help would be appreciated, thanks EDIT: that's NOT a problem with .deb in Ubuntu, it is a problem with Software install. I can install every .deb through the terminal but not with Software install, and Ubuntu suggests to install .deb with Software install. That's not a dependencies problem or anything similar, that's an issue with installing .deb WITH Software install and I would like to know how I can fix Software installer How can I test two static methods (one invokes the other) with PowerMockito? Taxonomy count per Post type Below is the code i use to output the post tag (taxonomy) count/number. I want to be able to split the count based on post type that the taxonomy features in (rather than the total number).   So i have the default "post" Post type, aswell as "blogs", &amp; "pics". I want the taxonomy count to display something like: x posts | x blogs | x Pics              &lt;?php             $tags = get_tags( array('name__like' =&gt; "a", 'order' =&gt; 'ASC') );             foreach ( (array) $tags as $tag ) { ?&gt;                 &lt;li&gt;                                                 &lt;a href="&lt;?php echo get_tag_link( $tag-&gt;term_id ) ?&gt;"&gt;                                   &lt;span class="name"&gt;&lt;?php echo $tag-&gt;name ?&gt;&lt;/span&gt;                         &lt;span class="number"&gt;&lt;?php echo $tag-&gt;count ?&gt;&lt;/span&gt;                     &lt;/a&gt;                 &lt;/li&gt;             &lt;?php } ?&gt; Any help with this problem is appreciated. It comes up in the context of Lusin's theorem, where it was assumed to be true.     Suppose $E$ is a closed subset of $\mathbb{R}$ and $f:E\rightarrow \mathbb{R}$ is continuous. There exists a continuous function $g: \mathbb{R} \rightarrow \mathbb{R}$ such that $f(x)=g(x)$ for $x \in E$ and $g$ satisfies $$\sup_{x \in \mathbb{R}} |g(x)| \leq \sup_{x \in E} |f(x)|\;.$$ My textbook states that:  ...The capacitance $C$ depends only on the geometrical configuration (shape, size, separation)of the system of two conductors. [As we shall see, later, it also depends on the nature of the insulator (dielectric) separating the two conductors.]...  Now I wanted to know if these were the only two factors on which the capacitance of a conductor depends. So I tried thinking about it from the basic definition, which is:  Capacitance is the ratio of the change in electric charge of a system to the corresponding change in its electric potential. (Source: )  i.e., $$C= \frac {dQ}{dV}$$ where, $V$ is the potential of the conductor with respect to zero potential at infinity. Now, I can not think of why $C = f(V)$ isn't a possible scenario, assuming that shape size, etc remains constant. So:  Why cannot $C$ be a function of $V$? How do spell lists change if the party levels up without taking a long rest? I'm playing in a D&amp;D 5e campaign with a bard and a wizard.  Our most recent session ended while we were in the middle of exploring a dungeon. The DM informed us that we leveled up from 4 to 5.  The wizard and bard were excited to get level 3 spell slots for the first time. They began discussing the level 3 spells they were looking forward to casting at the beginning of the next session. I asked, "Don't you guys need to have a long rest before you can cast new spells, though?"  The bard argued that he doesn't need a long rest, because he learns spells immediately upon leveling up and doesn't need to prepare them.  The wizard argued his "number of spells available" count increased immediately upon leveling up, and it wouldn't make much sense if his actual number of prepared spells stayed the same.  Ultimately, the DM decided that it would be more fun if everyone got access to their new toys at the same time. He permitted the wizard to add a level 3 spell to his prepared spell list.  Who is right? Do bards (and other casters that do not prepare spells) get access to new spells more immediately than wizards (and other casters that prepare spells)?  I looked at , but "Can a mage use his newly gained 2nd-level spell slot?" seems like a separate matter from "Can a mage use a newly gained spell?".