So candies read as a total amount no matter what Pokemon you look at of the same type or evolution, for example you'll have 5 Rattatas and 5 Raticates and 30 candies in total that you see when you look at any Pokemon.   But to my knowledge there isn't really a bag for the candies themselves.   If you got rid of all but one Rattata, you would see that you would have 39 candies, but what happens to the candies if you get rid of that last Pokemon?  Do the candies disappear with it or will they return when you catch another same-type Pokemon?
If I get rid of the last Pokemon I have from a family do I still keep the candies from that family when I catch another one of the same family?
Numbering in algorithmicx I have simple code:  \documentclass{article}  \usepackage{algorithm}  \usepackage{algpseudocode}  \begin{document}  \begin{algorithm}   \caption{Examples}\label{alg:Examples}   \begin{algorithmic}[1]   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$    \end{algorithmic} \end{algorithm}          \end{document}     How to put a point after the number of the algorithm? I use chapters in report:  \documentclass[a4paper,12pt]{report}  \usepackage{algorithm}  \usepackage{algpseudocode}  \begin{document}  \chapter{Chapter 1}  \begin{equation} X_2=4 \end{equation}  \begin{algorithm}   \caption{Examples}\label{alg:Examples}   \begin{algorithmic}[1]   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$   \State $X=45$    \end{algorithmic} \end{algorithm}  \end{document}     How to change the numbering to take into account the chapters? Is my processor 64 or 32 bit? This question is from a set of optional, much harder problems from my first year analysis course, but the subject material is norms on $\mathbb R^K$.  (c) Show that there exists a constant $C &gt; 0$ such that for all $\mathbf x ∈ \mathbb R^k$, $||\mathbf x||\le C||\mathbf x||_\infty$  Hint: Use the standard unit vectors to write $\mathbf x = x_1\mathbf e_1 +. . .+x_n \mathbf e_n$, and use the triangle inequality.  (d) Show that there also exists a constant $c &gt; 0$ such that for all $x ∈ \mathbb R^k$, $||\mathbf x||_\infty \le c||\mathbf x||$  Hint: If it isn’t true, then you can find a sequence $⟨\mathbf x_n⟩$ such that $||\mathbf x_n||$ is bounded but $c_n := ||x_n||_∞ → ∞$. (Why?) Think about the sequence $⟨\mathbf x_n/c_n⟩$. The Bolzano-Weierstrass theorem may be of assistance.  Note that the unspecified norm represents any norm for $\mathbb R^k$. I've done part c), but am stuck on part d). I've had a look for proofs on other questions on MSE, but none of them seem relevant to the hint given, and frequently the terminology is too advanced for me.  I tried considering the case if it isn't true, as suggested, but I can't see how to bound any sequence using that. Any help would be much appreciated. How can I best describe "making a new discovery"? In what order do multiple readied actions with the same trigger resolve? My players have been scheming with rapid entry tactics for the megadungeon I've recently started running. Unfortunately, the monsters are aware of the adventurers, and this has lead to a weird question of priority. Given the following situation (which I'm pretty sure is going to happen next session in some form or another) what happens?     Alice the adventurer readies an action; if her teammate Carlos opens   the door, she's going to throw the alchemists fire through the door,   which should do enough damage to kill any goblins hiding there.      Meanwhile, on the other side of the door, Bob the goblin is lying in   wait. He readies an action; if the door opens, he's going to hit the   switch to open the trapdoor in the next room, which should drop any    pesky adventurers into a pit with spikes at the bottom.      Carlos opens the door.   I know what happens when , but what happens when multiple readied actions get triggered at the same time? My guess would be an opposed reflex save or initiative check of some kind to see who goes first, but that's entirely just intuition speaking. The rulebook doesn't seem to speak to the issue. Prove that, $f'(0) \ge -\sqrt{2}$ for a function $f$ satisfying some conditions on $(-1,1)$. Let $f:(-1,1)\to \mathbb{R}$ be a twice differentiable function such that, $f(0)=1$, $f'(x)≤0$, $f(x)≥0$ and $f''(x)≤f(x)$ for all $x≥0$. Prove that, $f'(0)≥-\sqrt2$   Progress: I was able to prove $f'(0)≥-2$. For this I have applied Cauchy MVT for $f'$ and $g$ on $[0,x]$ for any $x\in (0,1)$ where $g: [0,x]\to\mathbb{R}$ is defined by, $g(x)=\sqrt{x+1}$. But, couldn't find another approach to get $-\sqrt{2}$. Ran out of inodes - 100% Full I am using Ubuntu 16.04 on AWS EC2 instance which has been working fine until this problem.  My problem is that I've used 100% of available inodes, as I discovered with this command:  $ df -i Filesystem     Inodes  IUsed  IFree IUse% Mounted on udev           124464    360 124104    1% /dev tmpfs          126787    449 126338    1% /run /dev/xvda1     524288 522638   1650  100% / tmpfs          126787      1 126786    1% /dev/shm tmpfs          126787      5 126782    1% /run/lock tmpfs          126787     16 126771    1% /sys/fs/cgroup tmpfs          126793      4 126789    1% /run/user/1000   The main culprits I discovered:  $ find / -xdev -printf '%h\n' | sort | uniq -c | sort -k 1 -n    1155 /usr/src/linux-headers-4.4.0-62/include/linux    1155 /usr/src/linux-headers-4.4.0-65/include/linux    1155 /usr/src/linux-headers-4.4.0-66/include/linux    1155 /usr/src/linux-headers-4.4.0-70/include/linux    1155 /usr/src/linux-headers-4.4.0-71/include/linux    1155 /usr/src/linux-headers-4.4.0-72/include/linux    1155 /usr/src/linux-headers-4.4.0-75/include/linux    1155 /usr/src/linux-headers-4.4.0-78/include/linux    1155 /usr/src/linux-headers-4.4.0-79/include/linux    1155 /usr/src/linux-headers-4.4.0-81/include/linux    1155 /usr/src/linux-headers-4.4.0-83/include/linux    1155 /usr/src/linux-headers-4.4.0-87/include/linux    1155 /usr/src/linux-headers-4.4.0-89/include/linux    1155 /usr/src/linux-headers-4.4.0-91/include/linux    1155 /usr/src/linux-headers-4.4.0-92/include/linux    1514 /usr/src/linux-headers-4.4.0-62-generic/include/config    1516 /usr/src/linux-headers-4.4.0-65-generic/include/config    1516 /usr/src/linux-headers-4.4.0-66-generic/include/config    1516 /usr/src/linux-headers-4.4.0-70-generic/include/config    1516 /usr/src/linux-headers-4.4.0-71-generic/include/config    1516 /usr/src/linux-headers-4.4.0-72-generic/include/config    1516 /usr/src/linux-headers-4.4.0-75-generic/include/config    1517 /usr/src/linux-headers-4.4.0-78-generic/include/config    1517 /usr/src/linux-headers-4.4.0-79-generic/include/config    1517 /usr/src/linux-headers-4.4.0-81-generic/include/config    1517 /usr/src/linux-headers-4.4.0-83-generic/include/config    1517 /usr/src/linux-headers-4.4.0-87-generic/include/config    1517 /usr/src/linux-headers-4.4.0-89-generic/include/config    1517 /usr/src/linux-headers-4.4.0-91-generic/include/config    1517 /usr/src/linux-headers-4.4.0-92-generic/include/config    1517 /usr/src/linux-headers-4.4.0-93-generic/include/config   Is it safe to delete these files, and if yes could you please tell me the exact command or commands to use on my PuTTY client? I have a video that was rotated 180° when recorded. Is it possible to correct this with FFmpeg? I've recently come across several statements to the effect "there are questions science can't answer", mostly from proponents of  and , but also from  and  as well.   However it seemed to me that there was an inherent contradiction in statements of the type "Science doesn't have all the answers" or "Science can't answer all questions". This is hinged on what is meant by "answering a question". It seems to me that to answer any significant question is to provide 2 things:    An accurate and objective explanation of the current state of affairs, in terms of relationships, causes and effects.  Based on that explanation, a method for making decisions if one is faced with future scenarios similar to or related to the current state of affairs, and for predicting future states of affairs with a certain amount probability, i.e the explanation is useful for future purposes.   But then if a field of inquiry is able to provide accurate, objective and useful information regarding a question, doesn't that field simply become part of science?   As examples:    If some school of mysticism is demonstrated to truly improve the happiness and well being of it's practitioners, then wouldn't that school's mystical teachings simply be incorporated into mainstream psychology and psychotherapy?  Similarly, if a political ideology is proven to provide better economic conditions and less crime, less pollution, etc...then this ideology's principles would become an accepted part of social sciences?     To put it more simply: Science has all the answers, because science IS anything that can provide objective and useful answers to a question.  Am I not talking about the demarcation problem per-se (at I least I think I am not), because even disciplines which are agreed upon as failing various demarcation criteria (such as astrology or intelligent design) are still trying (and failing) to be scientific in the sense I mentioned above. If they did start to provide answers, science would have to take them into account. Moreover, various philosophical schools of ethics are trying to be scientific in their explanatory framework, they are just not able to provide verifiable and falsifiable statements to prove their precepts (and probably would do so if possible).   My questions then are:    Per those who claim that science can't answer all questions, what type of question are they talking about? Do they have a demarcation criteria for such questions? (I'm not asking for examples, there are already plenty in the links I posted above).  If a field starts providing objective, accurate answers, doesn't it just become a subfield of science?   Is there a second demarcation problem between "carckpot" pseudosciences (such as astrology or numerology) which are providing the wrong answers and legitimate fields of inquiry (such as political theory or ethics) which are trying to provide answers but so far have failed to provide verifiable and falsifiable statements or accurate predictions? Proof of $f^{-1}(B_{1}\setminus B_{2}) = f^{-1}(B_{1})\setminus f^{-1}(B_{2})$ I want to prove the following equation:  $$ f^{-1}(B_{1}\setminus B_{2}) = f^{-1}(B_{1})\setminus f^{-1}(B_{2}) $$  Is this a valid proof? I am not sure, because at one point I am looking at $f(x) \in B_1$, but then $x \in f^{-1}(B_1)$ could be actually some different points.  $$\begin{align*} x \in f^{-1}(B_{1}\setminus B_{2}) &amp;\iff f(x) \in B_{1}\setminus B_{2} \\ &amp;\iff f(x) \in B_{1} \land f(x) \notin B_{2} \\ &amp;\iff x \in f^{-1}(B_{1}) \land x \notin f^{-1}(B_{2}) \\ &amp;\iff x \in f^{-1}(B_{1})\setminus f^{-1}(B_{2}) \end{align*}$$ I want to apply for Schengen visa, but employer NOC which is mandatory document for visa is not available with me I have resigned from my current company and will be joining a new company soon.   Hence, I cannot get a leave approval letter from my current company, and if I decide to join a new company and then request a NOC (No Objection Certificate) it will be late for visa process completion because of my traveling dates.   What can I show to the embassy as an alternative to this NOC document? Get client IP address via third party web service I would like to migrate apps and their data from one phone to another without too much faffing around, like:   rooting (very convoluted device specific process with a lot of ambiguity around it and often involving running closed source software from random vendors that you have to believe does the right thing), using app specific backup export/import facilities if at all exist (too manual, seems the only option though).   I am ok with:   using a PC to help facilitate the process, manual copying/pasting files (within reason).   Ideally, I would like to have a process that works something like this:   select apps that I would like to have in their current state on the other phone, bundle them together and store somewhere (external SD card or PC), put that bundle on the other phone and somehow install and recover their state.   A bit like  works.  So far I have tried :    - unfortunately, like many others, requires rooting,  - seemed promising but Helium has never been, nor ever will be, compatible with any device running anything less than Android 4.0 and it does not work on certain phones.  - Q: Does it backup data of apps? A: No, currently it only backup the apk files of apps. and skimmed through a number of articles including  (looks like even if I was willing to root I would have a hard time). I am planning to travel to India (COK airport, Kerala) from United States. I want to take my laptop as well as my tablet (iPad). Am I allowed to take both in my backpack with my documents related my work. I think I am allowed to take only one computer as per the rule. Will the customs consider my iPad as a computer?  What all I can take?   One of my friends took 2 laptops (1 work and 1 personal) and had trouble at the airport.  Also I am planning to take some wristwatches (7 of them, each avg price is 45 $). I read in a website that I can take stuff up to max 35000 INR. Is that true? In that case, how will I manage my stuff? do I only get a limited number of at-will powers? How to handle a deliberate duplicate question I have just updated Windows 7 to Windows 10.  My touchpad scolling (right-side) is not working anymore.    I have no idea how to fix this in Windows 10.  I have hit the start button and typed "synaptic", but have found nothing useful.  I used to have an icon on the taskbar that showed where I was touching the touchpad.  I used to be able to right-click that icon to change settings, but Windows 10 has not brought that icon over.  Also, the asus website has no synaptic touchpad drivers available for Windows 10.  I have tried the enaltech drivers, but upon the installation atempt I am told that my hardware is not correct. Can a lingering injury that requires "magical healing of 6th level or higher" be healed by an upcast lower-level spell? The  table in the DMG (p. 272) contains some wounds that can only be fixed by powerful healing magic, for instance:     Horrible Scar. You are disfigured to the extent that the wound cannot be easily concealed. You have disadvantage on Charisma (Persuasion) checks and advantage on Charisma (Intimidation) checks. Magical healing of 6th level or higher, such as heal and regenerate, removes the injury.   Can the necessary magical healing described here be a lower-level spell (such as cure wounds) that is upcast to 6th level? Or must it be a healing spell that is already 6th level or above before upcasting? The website I'm working is allegedly going to have a massive hit rate soon after launch. The client is talking about the possibility  of around 2500 hits per second over a day or so.   Ignoring the fact that this hit rate is probably wild client optimism and apart from getting the largest servers possible, what is the best way that Drupal should be configured to support a large hit rate.  I've read Scaling the , ,  and many other pages, but what I'm looking for is real experience of doing this, what works, what doesn't, and what to expect. Why do votes get locked? I downvoted  and now really can't say why, so I wanted to remove my downvote. However, I get the message:  You last voted on this question yesterday Your vote is now locked in unless this question is edited  Why is this? I don't think I voted on it multiple times, and even when I did, I can change my mind, can't I?