Why is it so easy to blow out a candle from a significant distance, but nearly impossible to suck enough air to do the same?  Even without focusing the airflow through a nozzle or something, this affect seems to be present. For example, it's easy to feel the air coming out of a box fan, but very hard to feel the air going into one.
Alternatively, why does the force created by blowing out air feel so much stronger than the force created by sucking in air?  Ok, so forget the human factor involved in blowing out candles. Consider a vacuum cleaner with a suction end and a blower end. Anyone who has tried it out notices the blower end creates a much stronger force than the suction end, despite the discharge being (more or less) equal at both ends.  Why does this happen?
Converting string of 1s and 0s into binary value I'm trying to convert an incoming sting of 1s and 0s from stdin into their respective binary values (where a string such as "11110111" would be converted to 0xF7). This seems pretty trivial but I don't want to reinvent the wheel so I'm wondering if there's anything in the C/C++ standard libs that can already perform such an operation? What's the fastest way to make money online? Everything in the online world is expensive, well the best things are. We all want the luxurious apartment with 10 cars garage and the best weapons but to achieve that, we need money. Which missions or activities give the most cash ? Qt signaling across threads, one is GUI thread? In episode 10 of Full Metal Alchemist: Brotherhood, during the events in the Research Lab 5, Edward Elric is severely hurt. Later in the hospital, he writes down everything he had come to know, and he discusses with Alphonse, Hughes, and Armstrong about what to do with the information to continue the investigation.  At this point, King Bradley arrives with lemon into the room. He finds out what they are doing but acts very calm and chilled out and allows them to continue investigation while being careful.  Why did he not get Hughes and Armstrong killed at that point? Or at least tell them to not investigate at all? Question title overlap in new design when title is longer Today I noticed that in new design view count is getting overlapped with question title on scifi.se for longer title:    But it's not site specific as same problem happen in Beta site too ( Hinduism.se):    That's why asked in main meta. Is the function $\mbox{tr}(XAX')$ convex? I cannot submit my answer to    I am aware that my reputation is low. Also, spam posting is discouraged.  My answer includes a compilation of Android graphing libraries, with links, so fellow hackers do not have to Google each and every one of them.  I believe this answer is superior to the current answers, because it is updated to 03/2012 and covers more than 90% of all Android charting libraries.  How can I post the answer, or how can I increase my reputation without being able to post quality answers? The old school websites included just a bunch of links to other places, I am an old man!  Alternative solution would be to blog it, and just post a link to my blog, which is not optimal. Why are objects at rest in motion through spacetime at the speed of light? Using the expression "the same" for a previously mentioned item I frequently use &quot;the same&quot; as in the following sentence.  I need the details of XYZ project. Could you please send me the same as soon as possible?  Is this grammatically correct? I have not been corrected till now, but I have not seen the usage from native speakers very much either. Update: Seems like my example sentence was ambiguous. Hope the following sentence is better.  I need the documents for the meeting. Could you please send me the same as soon as possible? Printing a file to a printer in Ruby If $\frac{\sin^4 x}{a}+\frac{\cos^4 x}{b}=\frac{1}{a+b}$, then show that $\frac{\sin^6 x}{a^2}+\frac{\cos^6 x}{b^2}=\frac{1}{(a+b)^2}$ If $\frac{\sin^4 x}{a}+\frac{\cos^4 x}{b}=\frac{1}{a+b}$, then show that $\frac{\sin^6 x}{a^2}+\frac{\cos^6 x}{b^2}=\frac{1}{(a+b)^2}$     My work: $(\frac{\sin^4 x}{a}+\frac{\cos^4 x}{b})=\frac{1}{a+b}$ By squaring both sides, we get, $\frac{\sin^8 x}{a^2}+\frac{\cos^8 x}{b^2}+2\frac{\sin^4 x \cos^4 x}{ab}=\frac{1}{(a+b)^2}$ $\frac{\sin^6 x}{a^2}+\frac{\cos^6 x}{b^2}-2\frac{\sin^4 x \cos^4 x}{ab}-\frac{\sin^6 x \cos^2 x}{a^2}-\frac{\sin^2 x \cos^6 x}{b^2}=\frac{1}{(a+b)^2}$ So, now, we have to prove that, $-2\frac{\sin^4 x \cos^4 x}{ab}-\frac{\sin^6 x \cos^2 x}{a^2}-\frac{\sin^2 x \cos^6 x}{b^2}=0$ I cannot do this. Please help! Why aren’t my villagers breeding? I’ve got one villager up 7 blocks surrounded with 6 doors. On ground level I have villagers who are supposed to breed. They are willing, their inventories are full of potatoes, and I’ve been sitting here for hours.  Hearts are popping up above their heads but nothing happens. I am playing on Xbox One. Idea of paying for things with time I recently read the .  This book had the idea of the time you live as something that can be used to pay for things. When you run out of "money" you die.  I was wondering is this the original source for this idea? Or does anyone know of an earlier book with the same idea? How to find historical stock price for a de-listed or defunct company? With services like Google Finance or Yahoo Finance it is very convenient to find the historical stock price metric of a listed company, but if the company is not listed, I can't find the data.  For example, I want to see the price metrics for Macromedia, which had been listed in 1993 on NASDAQ (MACR), then acquired by Adobe in 2005. How could I find its historical price metrics? Reprojecting raster from lat/lon to UTM in R? i have to turn it into a  UTM in order to make the buffer functional.  wets&lt;-readOGR(dsn=".",layer="shapefile") r.raster &lt;- raster() extent(r.raster) &lt;- extent(wets) res(r.raster) &lt;- 100   wets.r &lt;- rasterize(wet,r.raster) plot(wets.r) wetsbuf&lt;-buffer(wets.r,width=500)   During the buffer creation which is the last line of code, it gives this warning:  Warning message:   In couldBeLonLat(x) :   raster has a longitude/latitude CRS, but coordinates do not match that   here's the info    summary(wets.r)           layer  Min.        1  1st Qu.     1  Median      2  3rd Qu.     9  Max.       11  NA's    52629  summary(wets)    Object of class SpatialPolygonsDataFrame Coordinates:       min       max  x  683705  714088.8  y 4326266 4343768.0  Is projected: TRUE   proj4string :  [+proj=tmerc +lat_0=0 +lon_0=24 +k=0.9996 +x_0=500000 +y_0=0 +datum=GGRS87  +units=m +no_defs +ellps=GRS80 +towgs84=-199.87,74.79,246.62]  Data attributes:    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.      0.0     2.5     5.0     5.0     7.5    10.0         wets.r  class       : RasterLayer  dimensions  : 175, 304, 53200  (nrow, ncol, ncell) resolution  : 100, 100  (x, y) extent      : 683705, 714105, 4326268, 4343768  (xmin, xmax, ymin, ymax) coord. ref. : +proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0  data source : in memory names       : layer  values      : 1, 11  (min, max) attributes  :    ID FID  from:  1   0  to  : 11  10   I have to change the prjection in order to be possible to do the buffer. Description of varieties in $\mathbb{P}^2\times \mathbb{P}^1$ If $[x:y]$ are coordinates of $\mathbb{P}^1$ and $[X:Y:Z]$ are coordinates of $\mathbb{P}^2$, what do the following varieties look like?   $V(x^2X+y^2Y+xyZ)\subset \mathbb{P}^2\times \mathbb{P}^1$ $V(x^2X^2+y^2Y^2+xyZ^2)\subset \mathbb{P}^2\times \mathbb{P}^1$   As of now, I don't quite know how to visualize these varieties. A detailed geometric picture would be especially welcome. To ensure that a new chapter starts on a right-hand page, the book class (and the report class with the options twoside and openright) will insert blank pages between chapters if necessary. However, these pages still contain the headers and footers as defined by the class. How can I remove those?  Note: I know that I can manually add \clearpage\thispagestyle{empty} at the appropriate points of my document. However, this seems awkward and is prone to fail if I change my document later. I'm looking for automatic solutions. Proof for Property of Complex Numbers Is the inequality $\lvert z_1 + z_2 \rvert \ge \lvert z_1 \rvert - \lvert z_2 \rvert$ incorrect, where $z_1$ and $z_2$ are any two complex numbers? I need an example to prove that it is. And in case it is correct, can you please give the proof? Thanks for any help. Is it possible to identify the font used in a specific document/picture?  Answers to this question should identify:   Possible methods to do this (perhaps one answer per method) and adequately describe how to use it (as opposed to merely stating it); Ways of finding the identified fonts, if possible (free or not); and Any prerequisites associated with the method used, if required (for example, "In order to use method X, your document has to be in format Y").   This question is meant as an FAQ, based on an . Its aim is to facilitate the community with the general procedures involved in font identification. Similar cases are solved on a per-usage basis on 's  tag. Could it be that Goldbach conjecture is undecidable?