How do i automatically clear the terminal in VSCode before execution of script?
How to clear the interpreter console?
I encountered this particular combinatorial identity :$$\begin{align}&amp;1\dbinom{n-1}{r-1}+2\dbinom{n-2}{r-1}+\cdots+(n+1-r)\dbinom{r-1}{r-1}\\=&amp;\dbinom{n}{r}+\dbinom{n-1}{r}+\cdots+\dbinom{r}{r}\\=&amp; \dbinom{n+1}{r+1}\end{align}$$How does one figure it out? How will learning about philosophy impact real-life? Examining the practical, impactful, real-life benefits of getting a degree in philosophy It is often asked, &quot;What is the practical use of philosophy?&quot; or &quot;How will learning about philosophy impact real-life?&quot; It is easy to see why there is such mystery surrounding the topic. Most schools up through high school may only offer 1 or 2 courses on it, if any. It is also often talked about in general conversation as a &quot;wishy-washy&quot; subject, often negatively, as though it contains no answers but only raises an endless series of questions. To add to this, those who hear of the subject but know very little of it may be surprised to see it offered at their university as a major. It is clear to most why some people would want to major in Computer science, Mathematics, or Physics. But what would a degree in philosophy get you? Should there always be a comma after "therefore","However" etc.? I don't have a minecraft folder. I've looked through forums and videos, followed all the steps. I just don't have one. I have windows 7, and I have "view hidden files" turned on. I have look in the roaming folder of my app data folder, with hidden files turned on. I want to find my folder so I can install a mod, could someone please tell me why my folder isn't showing up? Some sort of battle school (no, not Ender's Game), where teens are being trained as military commanders.   The control system for their army hinges around some sort of system that requires extremely fine motor control -- being able to "push" around digital representations of military units using a special interface that interprets minute finger movements.  The boy protagonist eventually meets a girl in the battle school, and is astonished to learn that most people do not live as well as he does -- for instance, he gets a fresh jumpsuit outfit every day and disposes of the old one; this is a luxury.  One scene I recall is them kissing for a moment in some sort of underground passageway; the boy protagonist notes the exact length of the kiss, as he has been trained to have heightened time perception.  I don't recall much about other commander characters; I think they have different special abilities, and one other major character might have physical deformities, possibly because of postwar-radiation-related birth defects.  They have been training for an upcoming, prearranged final battle between all the existing national governments; the military units are very possibly robotic or entirely digital in nature, so as to avoid wasting materiel / human life.    They ultimately win the battle, just barely; I think the girl protagonist gives them an edge in the competition by hacking the timing / control system in favor of their team, causing a discrepancy which only the boy protagonist notices due to his heightened perceptions.  It was agreed that the winning government gets dominion over one of the few islands of land left that was not irradiated in some previous war; the protagonists get to live there as a reward for their victory.  I believe the boy protagonist later realizes he's gradually losing his ability to exactly quantify the passage of time.  Published no later than 2004, likely somewhere between 1980-2000, probably sometime in the '90s. LSOpenURLsWithRole() failed with error -10810 - Downloaded app does not start I'm trying to run an application downloaded from the internet (e.g., Jabref) but it seems that it fails silently. When I try to open it by double clicking it, nothing happens. When I use the terminal I get the following message:     LSOpenURLsWithRole() failed with error -10810 for the file .../xxxx.app   I tried several suggestions that I found here like changing permissions and modifying the Info.plist file, but nothing works.  Because it's a Java application, I tried to run it through terminal using      java -cp "CLASSPATH" MAINCLASS    and it works fine.  Just to mention that I get this error not only with this app, but for a few other applications.  Thanks in advance. how many terms will there be once you collect terms with equal monomials? What is the sum of all the coefficients? If you expand $(x_1+x_2+\cdots+x_k)^n$, how many terms will there be once you collect terms with equal monomials? What is the sum of all the coefficients?  I'm kind of lost here. This came up with other questions on the topic of binomial coefficients, and i have figured those out. I have spent almost an hour trying to figure where to start and haven't made any progress. I just bought a new HP Pavilion dv7t Quad Edition laptop that has HDMI out. I already have a couple of monitors that are VGA and I'd like to hook up one of these to dual monitors.  I've read some sketchy reviews of products that try to convert directly from HDMI (digital) to  VGA (analog), so I was wondering if someone has a good recommendation on how to hook these two together. Smart Phone's camera socket Mining cryptocurrencies with Ubuntu and sgminer What are the steps for setting up a Ubuntu machine for mining of crypto-currencies?  I am looking for a full guide to follow - from installing Ubuntu to how to config and start the miner itself. Separate Models vs Flags in the same model I have customer data from 2 brands. The data structure are the same, but I expected the customer behaviour to be different in different brand.  So I could train 2 models, 1 for each brand, or I could train one model on both brands, but flag which brand the customers belongs to within the data.  So my question is, would training on both brands with flags be too much more work for the Machine Learning (I'm using neural network), and therefore be harder to achieve good accuracy than to have dedicated models for each brand? What desktop environments can group window icons in the taskbar like Windows 7? I find it much faster to identify a window in the taskbar (window list) by its icon,    rather than by its text:    The problem with most graphical interfaces I've  is that they don't group windows, and if you have more terminals or file managers, they'll just clutter the taskbar and you won't know which is which. Windows 7 offers a relatively elegant solution to this by grouping similar window icons together.  Question: What Linux  have this functionality? If addons exist that provide it, that's alright.  For reference, a Cinnamon applet that sort of does this is . prove or disprove: For a prime number p, there is a positive integer n such that $p+1 $= $n^2$ if and only if $ p = 3.$ Prove or disprove: For a prime number p, there is a positive integer n such that $p+1 $= $n^2$ if and only if $ p = 3.$  first im trying to proof if p is prime number there is positive integer n such that $p+1=n^2$ implies $p=3$  suppose there is positive n integer such that $p+1=n^2$ and prove that $p=3$. $p=n^2-1=(n+1)(n-1)$ since $p$ is prime $n-1=1$,$ n = 2 $ $p+1=4$ $p=3$ hence it is proved that $p=3$  now if $p=3$ implies there is positive integer n such that $p+1=n^2 $  $p=3$ and p is prime  $p+1=n^2$, $4=n^2$, $n2$ or $n=-2$ hence it is proved that there is positive integer $n$ such that $p+1=n^2 $  is my proof correct? and also for prime number can i write $n+1=1$ instead $n-1=1$? I have a valid (multiple entry) business visit visa to the UK on my old passport. I have recently obtained a new passport as I ran out of pages on my old passport. The purpose of my visit is still for business and there are no change in personal details on my new passport. There is however a change in address on the new passport. Incidentally it is the same address that I filled out for my UK visa application while answering the query "WHAT IS YOUR PERMANENT RESIDENTIAL ADDRESS AND CONTACT DETAILS?"  In light of the above, can I still travel to the UK by carrying both the old and new passports? Or, will I be required to either transfer the visa or make a fresh application for my new passport. Thanks. Creating a gradient-based legend I have a map with graduated symbology, with 328 unique values. I would like to add a legend to my map (as in the picture), illustrating that light blue indicates low values and dark blue high values.  I have done this in ArcGIS before. Is there a way to do this in QGIS as well? User cards are no longer showing reputation or badges across the network It seems amongst is quite often used as a synonym for among but it is supposed to sound more distinguished. Is there any difference in the meaning? Using the simple example below, what is the best way to return results from multiple tables using Linq to SQL?  Say I have two tables:  Dogs:   Name, Age, BreedId Breeds: BreedId, BreedName   I want to return all dogs with their BreedName.  I should get all dogs using something like this with no problems:  public IQueryable&lt;Dog&gt; GetDogs() {     var db = new DogDataContext(ConnectString);     var result = from d in db.Dogs                  join b in db.Breeds on d.BreedId equals b.BreedId                  select d;     return result; }   But if I want dogs with breeds and try this I have problems:  public IQueryable&lt;Dog&gt; GetDogsWithBreedNames() {     var db = new DogDataContext(ConnectString);     var result = from d in db.Dogs                  join b in db.Breeds on d.BreedId equals b.BreedId                  select new                         {                             Name = d.Name,                             BreedName = b.BreedName                         };     return result; }   Now I realize that the compiler won't let me return a set of anonymous types since it's expecting Dogs, but is there a way to return this without having to create a custom type?  Or do I have to create my own class for DogsWithBreedNames and specify that type in the select?  Or is there another easier way? I have a mid-2007 MacBook Pro, the one with the trackpad that had the physical button on along the bottom edge. The trackpad is not well and using it can cause it to stick and freak out OS X.  Is there a way to disable the trackpad that's a little more low-level than ? A BIOS setting perhaps? I'd like the trackpad to never be useable on the unit, whether an external mouse is connected to it or not. Plot Summary/Details  A human spacecraft lands on an alien world.  I'm not sure if they are exploring, or touched down for repairs. The world is a foreboding place, and home to a vicious predator that somewhat resembles a panther, or other big terrestrial cat. The creature is quite cunning, and ambushes several crewmen when they are scouting the planet or doing some other activity that would have them isolated and away from the ship. It sticks in my mind the creature is very strong, and able to bite through the heavy spacesuits the men wear with ease.  The creature has an unusual nutritional requirement of some sort. As such, it doesn't eat its victims, but somehow drains them of a particular element or chemical substance. I can't remember what it is, though I think it had something to do with the skeletal structure of the men. Calcium, maybe?  I have only very general recollections of how the story ends/is resolved. The humans become aware of the threat, and I believe they ultimately slay the beast. I can't recall anything more specific than that, unfortunately.  Timeframe of Publication  This one is old, I'm sure of that. I can remember the writing style and some of the descriptions being very "old school" - spacemen, rocketship, that sort of thing. Almost like something you'd see in an old sci-fi movie serial, to use a film analogy. If I had to guess, I'd say 1950's at the latest.