There are lots of questions on here about dealing with Imposter Syndrome throughout the whole Ph.D. experience.  I have struggled with Imposter Syndrome throughout my whole Ph.D., but was able to manage it through a supportive adviser who thinks the world of my work. However, this is changing now.  I am on the job hunt (graduating this spring with a Ph.D. in applied mathematics - my research is sort of straddling the line between applied math and computer science, although my masters and bachelors are both in pure math) and I am focused on teaching-oriented schools, and have a diverse teaching background (with overwhelmingly positive teaching evaluations).    I have applied to many jobs.  I have gotten a decent number of first round interviews (phone, skype/zoom, conference interviews at the Joint Math Meetings) but only one on campus interview so far.  And still waiting to hear back from them (probably not the top candidate judging by the time).  The job most interested in me right now is a job I was qualified for with just my masters - and I only have unofficial word on that, hearing things through the grapevine.  There has also been countless rejections of the form-letter variety.  Sorry for the rambling.  Long story short, I struggled with Imposter Syndrome through the Ph.D., was built up by a supportive adviser and finally was feeling like I actually did belong in academia, and now the complete lack of job prospects is just making me feel like it was all a mistake somehow.  Somehow I slipped through this far, but nobody will actually want me on faculty.    Those of you who have been here before - how did you personally deal with feeling not good enough after all this work?  The way I'm feeling is interfering with me finishing typing my dissertation, because I'm feeling like there is no point.  How can I snap out of this enhanced imposter syndrome?
is a psychological phenomenon wherein an individual is convinced that they do not deserve the success that they have achieved despite (perhaps extensive) empirical evidence to the contrary.  Some people with imposter syndrome doubt their own ability level. For me, this usually manifests in the thought:  I've somehow convinced everyone into believing that I'm actually good at this.  followed by the horrifying notion that eventually I'll be found out and my world will collapse. I believe that the imposter syndrome is not uncommon in academia. I'm interested to know how other people here have experienced and dealt with it.  In particular, I'm looking for actual tactics that someone might use to combat imposter syndrome.   Why I asked this question: Beyond the obvious reason that this is something I have struggled with for many years and only recently gotten a handle on myself, there's also some evidence that merely realizing that other people experience imposter syndrome helps fellow imposters. As a grad student, I've managed to meet a fair number of people who are in their own struggles with imposter syndrome; however, the tactics and self-trickery that have helped me don't always speak to them and perhaps someone else's methods might.
How find this limit $\lim\limits_{x\to 0^{+}}\frac{\sin{(\tan{x})}-\tan{(\sin{x})}}{x^7}$ See screenshot:    Curiously, there are older badge achievement messages further down the list which display properly. Alright, I think we all agree that what happens with the following code is undefined, depending on what is passed,  void deleteForMe(int* pointer) {      delete[] pointer; }   The pointer could be all sorts of different things, and so performing an unconditional delete[] on it is undefined. However, let's assume that we are indeed passing an array pointer,  int main() {      int* arr = new int[5];      deleteForMe(arr);      return 0; }   My question is, in this case where the pointer is an array, who is it that knows this? I mean, from the language/compiler's point of view, it has no idea whether or not arr is an array pointer versus a pointer to a single int. Heck, it doesn't even know whether arr was dynamically created. Yet, if I do the following instead,  int main() {      int* num = new int(1);      deleteForMe(num);      return 0; }   The OS is smart enough to only delete one int and not go on some type of 'killing spree' by deleting the rest of the memory beyond that point (contrast that with strlen and a non-\0-terminated string -- it will keep going until it hits 0).  So whose job is it to remember these things? Does the OS keep some type of record in the background? (I mean, I realise that I started this post by saying that what happens is undefined, but the fact is, the 'killing spree' scenario doesn't happen, so therefore in the practical world someone is remembering.) What does "javascript:void(0)" mean? Why on-shell vs. off-shell matters? The definitions between on- and off-shell are given in .   Why is it so important in QFT to distinguish these two notions? ZFC + $\exists$ Standard model $\rightarrow$ Con(ZFC + $\exists \omega$-model) $ZFC + \exists V_\alpha$ model of $ZFC \vdash Con(ZFC + \exists$ transitive standard model of $ZFC)$  and then  $ZFC + \exists$ transitive standard model of $ZFC \vdash Con(ZFC + \exists \omega-model$ of $ZFC)$  For the first one :   We can always find a countable extentional $M \subset V_\alpha$ elementary equivalent to $V_\alpha$. Let $M&#39;$ be the mostowski collapse of $M$. $M&#39; \approx M$ so $M&#39;$ is model of ZFC. And because $M&#39;$ is countable and transitive then $M&#39; \in V_\alpha$ (since $H_{\omega_1} \subset V_{\omega_1}$ and $\alpha$ is surely far larger than $\omega_1$).   So $V_\alpha$ is the model of '$\exists$ a standard transitive model of ZFC'.  For the second one :   I don't really know how to do it... Does anyone have an idea ? If every pair of congruence equations admits solutions, then the entire system admits solutions Let a system of three linear congruence equations in integers be given;      \begin{cases}x\equiv b_1\mod c_1\\ x\equiv b_2\mod c_2\\ x\equiv b_3\mod c_3\\ \end{cases}   with $c_1,c_2,c_3\in\mathbb Z_{+}$. Show that, if every pair of congruence equations admits solutions, then the entire system admits solutions.    Now, if every pairs admits solutions, then for example $b_1\equiv b_2\equiv a\mod \gcd(c_1,c_2)$ for some $a$ then;   $x-a\equiv b_1-a\mod c_1$  $x-a\equiv b_2-a\mod c_2$  replacing $x$ by $x':=\frac{x-y}{\gcd(c_1,c_2)}$, we obtain:  $x'\equiv b_1'\mod c_1'$  $x'\equiv b_2'\mod c_2'$  and since $\gcd(c_1,c_2)=1$ by Chinese Remainder Theorem we have a unique solution $\mod{c_1'c_2'}$, so $x\equiv (\gcd(c_1,c_2)x'+a)\mod{\operatorname{lcm(c_1',c_2')}}\quad(1)$  We can do it with another pair (take $2$nd and $3$rd, since we know that such a pair admits solutions;  $x\equiv(\gcd(c_2,c_3)x''+a')\mod{\operatorname{lcm(c_2',c_3')}}\quad(2)$  Now how can I show that for the pair $(1)$ and $(2)$ also solutions exist ? Compress a folder with tar? I'm trying to compress a folder (/var/www/) to ~/www_backups/$time.tar where $time is the current date.  This is what I have:  cd /var/www &amp;&amp; sudo tar -czf ~/www_backups $time"   I am completely lost and I've been at this for hours now. Not sure if -czf is correct. I simply want to copy all of the content in /var/www into a $time.tar file, and I want to maintain the file permissions for all of the files. Can anyone help me out? I want to create a wave made out of particles/dots. The wave should look like this:  I tried to achieve this effect by adding an ocean modifier to a plane. Then I added a particle system to the plane but now I don't know how to go on. How can I make the particles lay on the 'ocean' and move when the ocean is moving? PS: I know there is a way to do this with a material in the Blender Render. But firstly I want to create the whole thing in Cycles and secondly I want to have particles. Allowing only one download per Apple ID Please refer the following questions asked elsewhere on this site:       I am a native Hindi speaker; Hindi has a plethora of terms referring to relationships. To take a trivial example, the term uncle may refer to father's elder brother, father's younger brother, mother's brothers, father's sister's husband, mother's sister's husband, all of which have specific addresses in Hindi.  I discussed the same with one of my teachers. She had the opinion that the development of language mirrors the cultural moorings of the society that uses the language. Now, since all of the above relationships have distinct status and reverence in the Hindi speaking society, that calls for different addresses. That may well not be the case in English speaking societies.  Is that correct? What other linguistic reasons may account for such a dearth of vocabulary in English in this area? How do you mark a struct template as friend? GParted won't let me edit a partition How do you effectively study physics? How does one read a physics book instead or just staring at it for hours?   (Apologies in advance if the question is ill-posed or too subjective in its current form to meet the requirements of the FAQ; I'd certainly appreciate any suggestions for its modification if need be.) What does the symbol with a shield and two swords next to clan members' names mean? When I open my clan roster, I now notice there is a symbol that has a shield + two swords next to most clan member's name.  What does this signify?  Are they ready for clan battles? Volume of $T_n=\{x_i\ge0:x_1+\cdots+x_n\le1\}$ Let $T_n=\{x_i\ge0:x_1+\cdots+x_n\le1\}$. I know $T_n$ is tetrahedron.  My question: How can I compute the volume of $T_n$ for every $n$? I don't like Hell, can I go somewhere else? I just opened a nether portal for the first time, and I must say, it's not a very good location, a sort of narrow trench/cavern thingy without any obvious clues as to which direction is "out".  I'm not willing to simply move my overworld portal (due to dilation it is unlikely to have much of an effect, anyway), and was wondering if there was a way to force minecraft to generate a new personal Hell for me to explore (hopefully one that doesn't involve me stuck in some wall!). Determining $\lim_{n\to\infty}\left(n^{\tfrac{1}{n}}-1\right)^n$ with only elementary math I am trying to find this limit:  $$\lim_{n\to\infty}\left(n^{\tfrac{1}{n}}-1\right)^n,$$  I tried using exponential function, but I see no way at the moment. I am not allowed to use any kind of differentiation or other topics of advanced math, only induction and school math are possible. Thank you Can you use twinned spell on the same target? So me and my DM have been arguing on how Twinned spell works. Twinned spell:  When you cast a spell that targets only one creature and  doesn't have a range of self, you can spend a number of  sorcery points equal to the spell's level to target a second  creature in range with the same spell (1 sorcery point if  the spell is a cantrip).  I argued that &quot;a second creature&quot; can be a the same target as it is not worded as &quot;another creature&quot; For this example counter spell with twinned spell.  A wizard casts fireball on me I use CounterSpell#1 with Twinned Spell Wizard casts CounterSpell on my CounterSpell#1 I use him as the same target for my twinned Spell CounterSpell#2  Result countered Is this possible? I've looked at the resumes of the type of candidates that get into computer science PhD programs at the top few universities (e.g. Stanford, MIT etc.) and a lot of them seem to have multiple publications (2-4) done during their undergraduate years. Is this representative of the entire pool? Or is this just a self-selected group that puts their resumes online.  I currently have one first-author workshop paper (5 pages), and I wonder how this might affect my chances at entry into these top universities.