I have a 3-month-old child. My pediatrician told me that you shouldn't let a baby sleep through the night until she/he is at least 4 months old. Even if they are gaining weight.   But my little one from day one had a different opinion. I turn on my alarm clock to make sure I get up to feed him. But every once and a while I don't hear my alarm clock and I wake up feeling like the worst mother for letting him sleep 8 hours! He has been gaining weight perfectly, weighing about 13 lbs now. He takes just a few quick naps during the day and eats almost every hour-two during the day until his bedtime at 8-9pm. I feed him at 9pm and again at 1-2am and then at 5-6am. But last night I didn't wake at 2am but at 5:30, and this has happened a few times. I also have a 20-month-old who would sleep through the night from the first month.   Could it just be that my kids like to sleep during the night? And why can't we let them sleep that long? I grew up always hearing "Never wake a sleeping baby!" Did they just mean during their nap?
My 3-month-old son has started sleeping through the night, with a vengeance. He sleeps for hours. And when he finally wakes up and I expect him to be starving, he's often still ready to happily play for a bit - say 1/2 hour to 45 min. Now, I know this isn't such normal behavior for a 3-month-old, and I'm definitely appreciating having my nights back, but I'm also a bit concerned - how long is the longest I should let him go without eating?  Edit (more details):  I used to try to stretch him and make his last feeding right before I went to sleep, so that I could take full advantage of his sleep-time. So we used to put him to bed about 12:30-1:00, and then head to sleep ourselves. He started off going about 6-7 hours... But a couple of weeks ago he started sleeping longer, and longer, and longer... Now he goes nearly 12 hours. He'll go to sleep at 12:30 AM and wake up at 12 PM or later. And he'll then happily play for another half hour, making about 12 hours of no-eating. I generally trust that I can rely on him to tell me when he's hungry, but I was wondering if there's a limit to how long I can let him go without eating...
Will airlines compensate me if my entertainment system is not working? In long haul flights, if I get a seat and after take off I found out that entertainment system is not working, I asked a flight attendant to change my seat but she apologized because there are no empty seats to move to.   Is it common to ask for a compensation for such an inconvenience? do major airlines compensate you in such cases? Does C# have extension properties? Are token creatures considerd as a creature spell? Are token creatures considerd creature spells? For instince when I use  tap effect combined with  would it allow me to draw a card? Person, Persons, People, Peoples Can you please clarify the relation and differences between these nouns?   For example, is it proper to use "persons" instead of "people"? Are they the same? As I believe that "people" is plural, how come there exists the plural of the plural (=peoples)? Does it have any usage? I frequently need to check which packages are installed, and I use the following command:  dpkg -l | grep foo  which gives the following output  Desired=Unknown/Install/Remove/Purge/Hold | Status=Not/Inst/Cfg-files/Unpacked/Failed-cfg/Half-inst/trig-aWait/Trig-pend |/ Err?=(none)/Reinst-required (Status,Err: uppercase=bad) ||/ Name                       Version         Description ii   foo                       &lt;version&gt;         &lt;description&gt;    What does the ii mean?  What other flags are there? How to read the flags? (because the explanation is quite complicated, IMO)   Thanks. Case assignment rule is always executed in the test class Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$ Define $\overline{X}_{n}:=\max\limits_{1\leq m \leq n} X_{m}$ and let $(X_{n})_{n}$ be a martingale where $X_{0}:=0$ and $EX_{n}^{2}&lt; \infty$  Show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$  As a hint: Consider $(X_{n}+c)^{2}$ and optimize over $c$.  It is clear that $((X_{n}+c)^{2})_{n}$ is a submartingale and when I optimize over $c$, I get:   $X_{n}^{2}+2X_{n}c +c^{2}\Rightarrow 0=2X_{n}+2c=0\Rightarrow -X_{n}=c$  It is also clear I need to use Doob's inequality but I am not sure how to go about this, and how the above optimization helps me. Change folder permissions and ownership I would like the user to have full rights on this folder (as well as all sub-directories and files in it):  ~/.blabla   currently owned by root.  I have found numerous posts (in this forum and elsewhere) on how to do this for files but I can't find a way to do it for whole folders. The minimum system requirements for 18.04 are "2 GHz dual core processor or better"; would a quad-core at 1.8 GHz meet (or approximate) this requirement? I just found http://programmingfaq.w3ec.com/faq/4761/whats-the-hi-lo-algorithm which has an exact copy of this Stack Overflow question, , with all its answers and no difference in a single character. There is no reference to Stack Overflow.  Is this legal, or at least tolerated? Is this impertinent theft of information? I just can't see any sense in copying whole pages, particularly when not referencing the source. For every set $A$, the empty set is a subset of $A$. The empty set is a set. Therefore, the empty set has a cardinality $\geq 1\ldots$ I have only recently been exposed to sets. According to , as seen on the first bullet mark of the link, $ \forall A: \emptyset \subseteq A$  Does this mean that $\emptyset$ is an element of all sets? (This is False, thank you those that answered)  Is the empty set also a set itself?  Assuming these statements are true, then the empty set therefore an element of the empty set. This does not sound right, please clarify for me. Thank you. Geometric interpretation of the multiplication of complex numbers? I've always been taught that one way to look at complex numbers is as a Cartesian space, where the real part is the $x$ component and the imaginary part is the $y$ component.  In this sense, these complex numbers are like vectors, and they can be added geometrically like normal vectors can.  However, is there a geometric interpretation for the multiplication of two complex numbers?  I tried out two test ones, $3+i$ and $-2+3i$, which multiply to $-9+7i$.  But no geometrical significance seems to be found.  Is there a geometric significance for the multiplication of complex numbers? Where is the Layers panel in Blender 2.8? How can I manually install a package on MiKTeX (Windows) I'm new to LaTeX, investigating using it for some work projects.  I'm using MiKTeX on Windows.  My employer's locked-down network blocks the application's automatic installation function.  I can take my laptop home and successfully install from there, but if I need a package in the middle of the day I'm stuck.  I am able to access the CTAN website and download the package files (.dtx or .ins?), but I don't know what do do with them.  How can I do a manual package installation? The entire answer is moving when hovering the bounty button It's just a minor CSS issue. See the following gif: Could you list all possible directories where Android apps may store data, providing description what kind of data are stored in each directory? What is the difference between the Bash operators [[ vs [ vs ( vs ((? I am a little bit confused on what do these operators do differently when used in bash (brackets, double brackets, parenthesis and double parenthesis).  [[ , [ , ( , ((   I have seen people use them on if statements like this :  if [[condition]]  if [condition]  if ((condition))  if (condition) a year on: what does it mean? PLease, dear native English speakers, help me to understand the meaning of the expression "a year on" within the context "The reality is that, a year on, a true 4K standard is still very much a work in progress..." Thank you a lot! Isomorphism of quotient modules implies isomorphism of submodules? Let $A$ be a commutative ring, $M$ an $A$-module and $N_1, N_2$ two submodules of $M$.  If we have $M/N_1 \cong M/N_2$, does this imply $N_1 \cong N_2$?  This seems so trivial, but I just don't see a proof... Thanks! A uniformly continuous function maps bounded set to bounded sets I am trying to prove the following:  If $A\subset\mathbb R$ is bounded and $\,f:A\to \mathbb R\,$ is uniformly continuous, then $f[A]$ is bounded.  Could you check my proof?  Let $A \subseteq [-K,K]\subseteq \mathbb R$. Let $\varepsilon = 1$. If $f$ is uniformly continuous there is $\delta$ wuth $|x-y| &lt;\delta$ imply that $|f(x)-f(y)|&lt;1$ for all $x,y\in A$. Let $a \in A$. Then because $A$ is bounded there is a finite number of balls $B(a_n,\delta)$ that cover $A$. Let the number be $N$. Then $f(a)-N \le f(x) \le f(a) + N$ for all $x\in A$.