What is the least vulgar but still natural (not overly formal) of these: Bum, bottom, backside, behind, rear end... As she walked past him, he stared at her _________.
A woman's butt was allegedly touched by a man several times during a commute on the MRT.   How to use butt, bottom, buttock and ass? I am confusing with these words.
I am a senior undergraduate (electrical) engineering student, exceedingly interested in physics. 4 years ago when entering university, for some reasons (better: illusions) I chose engineering as my major, while I was interested (and also really knowledgeable) in physics . Soon after the first semester I realized that I've decided wrong, and I must have chosen physics.  Since our university is a technical institute and does not have a strong physics department I decided to study physics on my own, without changing my major.But I took and passed the basic graduate physics courses (advanced quantum mechanics, advanced statistical mechanics, electrodynamics I &amp; II), have done a few research projects and had a paper published (maybe 1 more in the future). I have explored lots of research areas in physics and I think I have a good potential for doing research.  While concentrating on physics, I was inattentive to EE courses. Today, while searching for graduate programs, I saw that some schools require a minimum GPA, usually 3. I just calculated my GPA and found out that it is 2.95!   Do all universities have a GPA threshold?  Since I'm changing my major and also have a good GPA in graduate physics courses, is there any way I can compensate for my (very) low electrical engineering GPA? (like by taking subject GRE, etc.) If I first (somehow) get a masters degree in physics and then apply for a PhD, can I throw away this electrical engineering GPA in my PhD application ?   Any other suggestion is warmly appreciated. Why does connecting a high-current device to my digital circuit cause weird behavior? Derivative of an even function is odd and vice versa When to use a linked list over an array/array list? I use a lot of lists and arrays but I have yet to come across a scenario in which the array list couldn't be used just as easily as, if not easier than, the linked list.  I was hoping someone could give me some examples of when the linked list is notably better. Proof that exponential function's limit definition increases monotonically? It is well known that we can define $e^x$ by the following limit  $$e^{x}=\lim_{n\to\infty}\left(1+{x\over n}\right)^n$$  I would like to show that the RHS sequence is always less than or equal to $e^x$ for all $-n\le x\le0$ and $n&gt;1$, and what I had currently done is to study the property of this sequence (which is defined as $f(x)$)  $$f(x)=\left(1+{x\over n}\right)^n$$  I also find its first and second derivative $f'(x)=\left(1+{x\over n}\right)^{n-1}$ and $f''(x)={n-1\over n}\left(1+{x\over n}\right)^n$ and show that they are strictly positive for all $x\in[-n,0]$. As a result $f(x)$ is monotonically increasing and concave up. By plugging in the end points I found that $f(0)=1\le e^0$ and $f(-n)=0&lt;e^{-n}$, I wonder if these conditions allow me conclude that $f(x)\le e^x$ for all $x\in[-n,0]$. How to resolve ambiguous column names when retrieving results? QGIS area calculation differs when on the fly CRS transformation enabled When I open QGIS, add the layer, and calculate the areas of the shapefile via field calculator I get a different area than when I open QGIS and check "Enable on the fly CRS transformation" and calculate the area. This is despite making sure that the project and the layer have the same Coordinate system (same EPSG number). What am I doing wrong?   I have a shapefile with area calculations made with ArcGIS (not be me, the data was handed to me and I have no clue for which CRS the area was calculated with ArcGIS). The shapefile layer CRS is EPSG: 21781 (Switzerland). In QGIS, if I do not change the OTF settings and leave the project CRS as EPSG:4326 (WGS84) I get the same value as the ArcGIS area value. However, if I change the OTF before adding the layer to EPSG: 21781 I get different area values. As I understand this suggests that ArcGIS Area was calculated with the CRS EPSG: 4326.  First workflow:   open QGIS  project CRS: EPSG 4326  add layer  project CRS adapts automatically and is EPSG 21781 now  calculate $area with field calculator    Second workflow:   open QGIS  project CRS: EPSG 4326  Turn on OTF, set project CRS to EPSG 21781  add layer  calculate $area with field calculator    Step 5 of the first and second workflow DO NOT produce the same area. cube collider losing shape upon rotation I'm not sure what's going on here. I have a cube which I have turned into a rectangle; it's a child of a plane which is the "ground" so that they share rotation (this is a pinball table).   To create these cubes, I just used the create => 3d shape => cube/plane option. No packages are used.   The issue is when I rotate the rectangle, the collider visibly becomes wrong.  This is before rotation:    This is after rotating on the y axis:    The collider does seem to rotate, but not at the correct amount. Can anyone shed some light as to what's going on here?  Here's the inspector and hierarchy:      I also tried making the plane a cube, it didn't change anything. How to achieve this 3D "Card" effect How do I find playtesters? Obviously the first tester group would be your own group. But beyond that? It would seem to make sense to have at least more than one group test out your game, as different groups want different things and play differently. Fresh eyes find different bugs, etc. etc.  Are there resources out there to help aspiring game designers without a lot of contacts find people willing and eager to test out their game?  Or is this in essence a "" issue?  To clarify my own situation:  I have the mechanics finished. The setting is still under development, but in accordance with the motto "fail faster" I want to go ahead and test the mechanics (in a different setting for now) to see if they work and are fun or if I need to go back to the drawing board. I have a sort-of group, but I don't know them very well and they don't meet often, and so I'm not excited about the prospect of presenting the mechanics to them right now (as I'm sure there are a dozen issues I've overlooked). Also, I'd like to test the game (including the setting, later) on more than one group, as mentioned above. I've put out some feelers among my current friends and acquaintances, but nobody's really been excited about playtesting or even really giving in-depth feedback, and I don't want to be that person who's always shoving their project in your face. I'm willing to run something online as well. I'm also interested in having others run a game without me present, and giving me their feedback.  Also, I'm looking for something of a guide-type answer that might help someone besides just me. Colors in Photoshop CS6/CC look different than in browser? One of my friends, a graphic designer told me recently that sometimes colors in Photshop look slightly different than the ones rendered in browser.  I know it is possible when you save a file and then use it on a website due to palettes, but he uses given color in PS, for example #b81e1e, then he creates a DOM element and sets its background to #b81e1e and the color is rendered differently in browser than in PS (I guess it's not that subtle as he can easily spot it). It's not a regular thing and it doesn't happen always, but he states it happened to him a few times, although he can't really tell me with witch colors.    Is it even possible? Because I have never really heard about anything like this &amp; nothing like this ever happened to me... Can't delete files in trash because they don't exist on OS X 10.6? Something funky happened on one of my external drives and now whenever I plug it in 2 files show up in my Trash.  If I empty the Trash via Finder, nothing happens.  Ditto for the Option+Empty Trash method.  Listing them via Terminal shows them as there  $ sudo ls .Trashes/501 ¶_|íìê&lt;-.b?†            æâù©ìë—‡.*?§   But attempting to rm them or get any information about them shows them as not there  $ sudo ls -F .Trashes/501/ ls: ¶_|íìê&lt;-.b\032†: No such file or directory ls: æâù©ìë—‡.*\026§: No such file or directory  $ sudo rm .Trashes/501/* rm: .Trashes/501/¶_|íìê&lt;-.b\032†: No such file or directory rm: .Trashes/501/æâù©ìë—‡.*\026§: No such file or directory   Any thoughts?  I've never seen anything like this.  Thanks in advance! How to find out who deleted some data SQL Server My boss had a query from a customer yesterday asking how they could find out who deleted some data in their SQL Server database (it is the express edition if that matters).  I thought this could be found from the transaction log (providing it hadn't been truncated) - is this correct? And if so how do you actually go about finding this information out? Reprojecting vector layer in QGIS? I have a series of layers of lines (shapefiles) in My Project. The CRS of some are different and to merge them they all must have same CRS.  When I use Processing/Toolbox/Qgis_algorithims/Reproject_layer the reprojection only works if it is allowed to save to temporary file somewhere (it will not change the CRS when I reproject if I try to save and replace it in My Project directory);   I must remove the original from the layer list and reproject the temp file (without changing the CRS) to get it into my project and name it appropriately.  Is there a better way to reproject a layer in Qgis? pgfplots fillbetween with multiple curves Basic circuit to keep LED either on or off depending on night/day How can I have a LED either on or off (not in between) depending on night or day with basic electronics? I have created the circuit below, but it only shines and in darkness it dims.    The photo-resistor is about 3kΩ when light shines and about 1MΩ when dark.  I want my LED to shine at night and be off at day.  What is the simplest way I can achieve this? This is an exercise from Chapter 3 of Golan's linear algebra book.  Problem: Show $\mathbb{Z}$ is not a vector space over a field.  Solution attempt:  Suppose there is a such a field and proceed by contradiction. I will write multiplication $FV$, where $F$ is in the field and $V$ is an element of $\mathbb{Z}$.   First we rule out the case where the field has characteristic 2. We would have   $$0=(1_F+1_F)1=1_F1+1_F1=2$$  a contradiction.  Now, consider the case where the field does not have characteristic 2. Then there is an element $2^{-1}_F$ in the field, and   $1=2_F(2^{-1}_F1)=2^{-1}_F1+2^{-1}_F1$  Now $2^{-1}_F1\in\mathbb{Z}$ as it is an element of the vector space, but there is no element $a\in\mathbb{Z}$ with $2a=1$, so we have a contradiction.  Is this correct? Creating all possible line segments between all points using QGIS I want to connect all points in a point feature with every possible line segment using QGIS. For example, how a pentagon has five points with ten line segments connecting them all to form a pentagram inside. Alternatively phrased: How do I make spokes when all the points are hubs? I don't care about the order, I just want every connection between two points as one line each. Is there a tool or script that can do this in QGIS? This topic () is the closest to what I want but the plugins are no longer supported. Parse JSON in JavaScript? The coefficient of an explanatory variable in a multiple regression tells us the relationship of that explanatory variable with the dependent variable. All this, while 'controlling' for the other explanatory variables.  How I have viewed it so far:  While each coefficient is being calculated, the other variables are not taken into account, so I consider them to be ignored.   So am I right when I think that the terms 'controlled' and 'ignored' can be used interchangeably?