$f: \mathbb C \to \mathbb C$ be a non-constant entire function then how to prove or disprove that every line which passes through origin would intersect image(f)?  Can anyone please  give me a hint?
Let $f$ be an entire function and $L$ a line in $\mathbb{C}$ such that $f(\mathbb{C})\cap L=\emptyset$. Show that $f$ is constant function.  If $f$ is not constant  then $f(\mathbb{C})$ is dense set in $\mathbb{C}$, but how can I use that line does not intersect the image set?
What kinds of compensation can I get from Deutsche Bahn for canceled and late trains? Over time I realized a very annoying property of the Stack Overflow reputation system: Easy answers to popular question are rewarded with a lot more reputation points than actually great answers. In case anybody actually needs examples for this, here are two examples from :   gained me 420 rep, I invested 2 minutes writing it, and it only was a wild guess.   took me about an hour for the research and the math and gained me 40 rep.  Now I know that you are bound to get more rep for answers that are useful to more people, and I'd say that's fine. But the current situation is quite extreme: 30% of my reputation is from 5 of my 330 answers, and they are definitely far from being my best ones.  A final example that is not from my profile, but more extreme: Do you really think  is worth 40000 reputation?  My proposition to improve that situation would be to make the reputation gain from a single answer non-linear, maybe even have it capped at a certain point. I'm not sure on how that non-linear function should look exactly, and would leave good proposals for that to users with more experience than me. Why can rm remove read-only files? Can I install Microsoft Office? If so, how? I want to know how to install Microsoft Office (specifically, Microsoft Office 2010) in Ubuntu?   I am a die hard fan of MS Office and I want to know if there is a way I can use it in Ubuntu. Induction and electromagnetic fields I've got a few questions on induction and electromagnetic fields. My current understanding of induction and electromagnetic fields is that, when electricity/current flows through a wire, it creates an electromagnetic field. If you twist that wire into a coil then you can concentrate that field. You can then induce current into a different coil by placing it inside of the electromagnetic field created by the first coil.  So here are my questions:  Q1. Does the electromagnetic field contain any energy?  EDITED QUESTION  Q2. Electromagnetic fields are the same as waves, so does that mean that when current is induced, they get the energy from electromagnetic waves being exchanged, or do they induce current directly from the electromagnetic field?   Q3. If electromagnetic fields and waves are the same, then doesn't that mean that you can induce current from waves? Therefore transferring electricity over long distances?  Q4. What spectrum of light are the electromagnetic waves that are in a field created by electricity?  Q5. Finally, why is it not possible to induce current from the Earth's magnetic field? I thought Maxwell said that electric fields and magnetic fields were the same thing.   Thank you to anyone who answers.  Edited Q2: So my original question (although asked poorly) still stands. Where does the current that gets induced in the secondary coil come from? How does the electricity transfer from the primary coil to the secondary? For example, is it taken from the stored energy in the e.m field? Does the field just act as a bridge between the 2 coils? Or do the 2 coils exchange e.m waves which carry the electricity that is being transferred from coil 1 to coil 2? Or is it none of these things and something completely different? How do real and effective user IDs work? When a normal user wants to make change to the passwd file, the user will by setuid be given the effective user access. User becomes root temporarily and can edit passwd.  However you can only edit your password right, and not everybody else? However your effective user access is root. So how come you're not allowed to change other passwords beside yours?  When you run a program with setuid, what does it mean actually when effective user is root, but real user id is still your name? Adding feature class to Map in CURRENT project using ArcPy in ArcGIS Pro? I want to add a feature class within a Geodatabase to a map in ArcGIS Pro (1.4.1) using arcpy. I am converting some python code from ArcGIS Desktop to ArcGIS Pro.   This issue is very similar to:    and      However, instead of adding a feature class (or layer) to a map using the Python Window I am doing this from a  Script within a Toolbox. I have included a code snippet below.  lyrTest = r"C:\data\test.gdb\Layer1"  aprx = arcpy.mp.ArcGISProject("CURRENT") aprxMap = aprx.listMaps("MainMap")[0]  lyrFile = arcpy.mp.LayerFile(lyrTest) aprxMap.addLayer(lyrFile)   I get the following error message:  Traceback (most recent call last): File "C:\data\AddLayers.py", line 5, in &lt;module&gt;     aprxMap.addLayer(lyrTest) File "c:\users\user\appdata\local\programs\arcgis\pro\Resources\arcpy\arcpy\utils.py", line 191, in fn_ return fn(*args, **kw) File "c:\users\user\appdata\local\programs\arcgis\pro\Resources\arcpy\arcpy\_mp.py", line 1048, in addLayer return convertArcObjectToPythonObject(self._arc_object.addLayer(*gp_fixargs((add_layer_or_layerfile, add_position), True))) ValueError: C:\data\test.gdb\Layer1 Failed to execute (AddLayers). How do I play a sound in Octave? Analysing the "kind(s) of problem(s) are [ones]/[to be]" construction A. These kinds of problem are to be avoided. B. These kind of problems are to be avoided.  Are both A and B grammatical? If not, why not? If so, after having noticed the parallelism between A and C, and between B and D, could we say that C and D are &quot;standard&quot; English, too?  C. These kinds of problem are ones to avoid. D. These kind of problems are ones to avoid. Clear some doubts and questions about the Witch-king of Angmar I recently found out about the war between Arnor and Angmar, and was pretty shocked to learn that the Witch-king basically wiped the floor with the Dúnedain kingdom... I mean he's basically the sole reason Aragorn wanders around like a homeless person.  So with which army did the Witch-king defeat Arnor? Orcs? Men? Sorcery? Did he ever go to battle himself? Did he do this for laughs or by Sauron's orders?   How powerful was the Witch-king at this point, compared to in the Fellowship of the Ring and Return of the King? Were the other Nazgul with him in this war?   And it doesn't even matter to me if all of the eight Nazgul were with him, even if they all had their Rings of Power, and even if they had the largest of armies of Orcs, Men, Elves, Dwarves or even dragons (yes I'm exaggerating at this point), but just how do you defeat a kingdom full of Dúnedain?   We have all seen what Aragorn is capable of doing, so how do you defeat a kingdom worth of Aragorns?   And if it is not much to ask, does anyone know where I can read all about this war and more about the Witch-king? so far all I read about it was from the Internet, wikis, forums and alike, I'd like to read it from the source. How should a bot earn enough reputation to perform the actions necessary for that bot? Overstaying on a US Visa Waiver Program A friend of mine came from Australia on the WVP and stayed 92 days. I made a mistake booking Her flight scheduling a Saturday arrival/departure at DFW. This amounted to a 92 day stay and with no funds to rebook a low cost flight through Qantas it was necessary to leave on the scheduled flight.   Question # 1) Was a automatic I-94W submitted by the airlines? She had no customs forms to fill out upon departure.   Question #2) How does this effect another WVP being issued if applied for? There are many (duplicate) questions about the acceptance, popularity and history of singular they (and their, them and themself) around here, it even got a tag of its own. If I didn’t miss anything, however, the proper verb form hasn’t been questioned yet.  As we all know, English third person singular pronouns (it, she, he and one, +body), names (Alice, Bob, …) and nouns (student, teacher, …) demand the +(e)s suffix be added to the finite verb form in simple present, where some auxiliary verbs have a “special” form (is &lt; *bes / *ares and has &lt; *haves). All other subjects don’t, including plural third person pronoun they.  When the plural you replaced thou (with thee, thy / thine), the other marked verb form that had remained in English – i.e. suffix +(e)st or +t – vanished, too. The first and second persons only ever appear as pronouns (I, we; you), not names or nouns, so there was no strong inclination to keep the verbal inflection.  The second person precedent would suggest that singular they be used with uninflected verb forms which is how it’s usually encountered in the wild. Assuming that they someday replaces he and she (and maybe it) it would lead to disagreement with the words the pronoun stands in for:        Alice         goes to her   place  by herself.   Bob           goes to his   place  by himself.   Alice and Bob go   to their place  by themselves. – (common)   Alice and Bob go   to their places by themselves. – (separate)                  She  goes to her   place  by herself.   He   goes to his   place  by himself.   They go   to their place  by themselves.   They go   to their places by themselves.                  They ?goes to their place  by themself.   ditto   They  go   to their place  by themselves.   They  go   to their places by themselves.                  They ?go to their place  by ?themselves.   ditto   They  go to their place  by  themselves.   They  go to their places by  themselves.      So why doesn’t singular they afford s on present-tense verbs like all other third person singular subjects do?   I learned about singular they only long after I had been taught English as a second language in school. That’s why it’s still a conscious decision to use it and hence I could easily adapt to use s forms with it, but would that sound and look funny / strange / wrong to native speakers? I use bash on both my Mac and as my cygwin shell. Overall, I'm quite pleased with it.  My one complaint however is that its TAB completion isn't as good as Windows Command Line TAB completion.   For example, if there are two files with the same prefix, then bash just beeps at me when I try to TAB complete. If I keep nailing TAB, then it will eventually show me a list of potential files.  I definately prefer how Windows will cycle through potential files right on the command line.   Is there a way to get bash to operate similar to Windows Command Line in this regard?  If there isn't (I do not want to switch shells), am I missing something about TAB completion in bash? Is there a more efficient way to use it? Is it true that if $A$ is a nonnegative primitive matrix, then $AA^T$ is also primitive? Obviously $A^T$ is primitive but in general product of primitive matrices is not primitive.  Any hint? Show intersection of two algebras are not a $\sigma$-algebra I have the following question:    $\textbf{Question}:$ Let $\mathcal{F}_1$ and $\mathcal{F}_2$ be two algebras. Is $\mathcal{F}_1 \cap \mathcal{F}_2$ a $\sigma$-algebra?  I believe the answer is no. I know the definition of an algebra and the definition of $\sigma$-algebra.    I'm assuming I need to show that the intersection of the finite unions of each algebra is finite, but then I get stuck trying to work out how to show it is not a $\sigma$-algebra.  All help is appreciated.  Many thanks, John 'apt-get' always fails with ERROR 404: Not Found over a package (flashplugin-downloader) the following error is preventing me from installing anything on Xubuntu 11.10. How can I fix it??  $ sudo apt-get install meld Reading package lists... Done Building dependency tree        Reading state information... Done meld is already the newest version. 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded. 1 not fully installed or removed. After this operation, 0 B of additional disk space will be used. Do you want to continue [Y/n]? Y Setting up flashplugin-downloader (11.0.1.152ubuntu1) ... Downloading... --2012-02-06 21:23:36--  http://archive.canonical.com/pool/partner/a/adobe-flashplugin/adobe-flashplugin_11.0.1.152.orig.tar.gz Resolving archive.canonical.com... 91.189.88.33 Connecting to archive.canonical.com|91.189.88.33|:80... connected. HTTP request sent, awaiting response... 404 Not Found 2012-02-06 21:23:36 ERROR 404: Not Found.  download failed The Flash plugin is NOT installed. dpkg: error processing flashplugin-downloader (--configure):  subprocess installed post-installation script returned error exit status 1 Errors were encountered while processing:  flashplugin-downloader E: Sub-process /usr/bin/dpkg returned an error code (1) 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 What's the simplest way to list conflicted files in Git? What defines a native English Speaker? I think this particular phrase creates a lot of concern in English learners. From general conversation to posts here, we see native speaker a common usage when talking about a person who speaks English by birth. So according to this definition, inhabitants of all the countries considered as  should be considered as native speakers. But herein lies my confusion. Would we conclude a random inhabitant of these countries to be a native speaker (as there is a chance of them to be a English speaking person)?    Also, I think Native speaker can also be one whose mother tongue is not English but uses English a lot in day-to-day life. For example, I don't speak English by birth, but as , I have to use English daily for at least 5 hours a day in my normal life. So can I consider myself as native because I use it frequently?  UPDATE 1 - From Googling, I could not find any dictionary sites explaining this phrase. The results only include different forum answers. So I thought of asking the question here and perhaps wise users here can help me out with the actual meaning.  UPDATE 2 - Later I thought it is worth adding that Anglo Indian families (and some purely Indian families too) who are born and raised here in India, speak English from birth and their first language is English and English is their primary means of communication although I cannot admit they fully abide by or understand all English cultural values like a British or an American. So what can I call them? Are they native?