For reference, I'm using this equation for drag  $$d = c \times {\rho \times v^2 \over 2} \times a$$  And this one for finding terminal velocity  $$v = \sqrt{2 \times m \times g \over \rho \times a \times c}$$  For the purposes of this question, you can assume $c$, $\rho$, $a$, and $m$ are all $1$ and the object we are dealing with is a sphere. These two equations then simplify to  $$d = {v^2 \over 2}$$ $$v = \sqrt{2 \times g}$$  Now imagine $g=50$. The terminal velocity of the object in this environment would be $v = \sqrt{2 \times 50} = 10$. This object then has a velocity vector of $(0, -10)$. It's experiencing a downward force of $50$ units due to gravity, and drag is pushing it upwards by $d = {10^2\over 2} = 50$ units, perfectly cancelling out gravity, thus it is at its terminal velocity.  Now imagine a sideways force being applied. Its velocity vector now becomes $(4, -10)$. Calculating for drag, we can see the drag force has a magnitude of ${\sqrt{4^2 + (-10)^2}^2 \over 2} = 58$ units.  The unit vector in the direction of the velocity is given by  $$\theta = \text{atan2}(-10, 4)$$ $$U = (\cos \theta, \sin \theta)$$  And since drag is applied in the opposite direction of motion, we know the drag vector is $D = d \times -U$. And after actually crunching the numbers for the Y-component of $D$, we see that the object is experiencing an upwards force of $53.85...$ units, which is more than the downward force of gravity.  So, my question is, what's going on here? Does the sideways motion actually truly affect the vertical motion? Am I missing something in the calculations? Intuition would tell me that no matter how fast an object is moving sideways (ignoring things like lift, we're dealing with a sphere) its vertical motion will be unaffected. Is that intuition wrong?  Granted, my calculations are fundamentally 2D, but imagining similar situations in 3D gives the same result. The drag vector still has a stronger upwards component, which still raises the same questions.
In a world without air, I understand they definitely would. However, with drag taken into account, I think they wouldn't. Since the drag force varies proportional to the square of speed (ignoring the change in coefficient of drag with speed), wouldn't the total impulse due to drag on a bullet fired from a gun from a specific height horizontal to ground be higher than the total impulse on an identical bullet dropped from the same height with no horizontal velocity?  Also, when bullet spin is taken into account, the bullet fired from a gun should resist change in orientation; therefore, it should maintain a small but non-zero angle of attack, and also have a lift force, correct?
No CUDA and GPU option I have Blender 2.73a with AMD Radeon 3100 Graphics. I saw  on how to make cycles render faster. It says when I go to User Preferences> System> Compute Device, It has no CUDA option, which means there is no GPU option. How can I fix this? Attributive nouns vs. of-genitive Granting access only to standby database One of the physical standby databases in my environment is open in read-only mode and used for reporting purposes . I want to give users access only to this particular standby, not to primary db.   The best approach I found so far is to create AFTER LOGON ON DATABASE trigger which checks v$instance (or maybe v$database), and throws error for depends on  values of host_name/instance_role columns  .   I wonder if there is a better way to do it. How can I prove that $2017 \mid 1^{2017}+2^{2017}+\dots+2017^{2017}$? I tried proving it with the use of modulo, however it was to no avail. Afterwards, I  tried researching, for possible theorems, that may help, but that bore no fruit, either. Can you guys please help me proving it, as I am stuck? Thanking you in advance. I am considering to create a wiki/blog for most of my study notes that I have made or taken digitally.  Also, for the handwritten and rough ones I am thinking about storing them in my GitHub repository.  Is this a good idea? How do professionals in academia and PhD students organise their notes?  Also, should I keep my notes publicly available?  Edit: The main purpose of keeping my notes public is to have them readily available and searchable of myself and my immediate peers in college. If that benefits someone else, I will be more than glad to have helped.   Update regarding having a blog/wiki: I was thinking about having stuff regarding my take on a certain topic or similar rather than just straightaway putting mugged up lecture notes. (as I mentioned in a comment)  So basically, as I go along a certain topic whatever interesting I find, I post  it. Also I will put in links to papers, books and other interesting literature on the topic that might be helpful while studying the topic. This seems easier to deal with and also serves as a way to track my current interests and/or workflow. How to connect to device via SSH over direct ethernet connection How can I change Win 10 protected registry entries? At the start of the movie it says:      "A long time ago in a galaxy far, far away...."   Does this mean that the entire Star Wars saga takes place in a single galaxy? To my understanding a galaxy isn't very big compared to the universe itself. Star Wars has many different sentient races, and the way they are presented suggests that most planets are host to only one of them (some exceptions like naboo). This strongly leads me to believe there should actually be more galaxies in the Star Wars universe (hehe).   Another thing, I think it's safe to assume that even if the entire saga takes place in one single galaxy, their researchers can observe other galaxies (I think we started doing that in the 1600s, and they are a lot more technologically advanced than we were back then). When Obi-wan is looking for Kamino (the rain planet with the cloners) the librarian says something like "If it's not in our records, it doesn't exist", so she must be convinced that the entire universe has been explored.    If the entire universe has been documented, why wouldn't they go to those other galaxies? The technology seems to be advanced enough to hop to another galaxy. Is there any canon material that suggest that traveling between galaxies is done? If not, is there a canon explanation why they don't? I don't know what to do with this. Nothing works. I hope somebody can help me to find a decision $$n!\leq {\left(\frac{n+1}{2}\right)}^{n}$$ One of the products being shown a CES is a  intended to let you charge a tablet from a laptop USB port that normally wouldn't work because it didn't provide enough power.  The CNET writeup implies that it's actually boosting the power output from the port beyond the normally available amount.  This seems improbable to me because the ports should have current protection to protect themselves from shorts.  Also, if it was possible to bypass the current limit externally, I'd've expected at least some tablet vendors to have included the ability to do so directly in their cables.  One possibility that occurs to me is that the dongle is just spoofing responses to the tablet when it queries the laptop about the maximum power it can deliver while only providing a trickle charge that the tablet would otherwise reject as too slow to bother with. How can I quickly level up in World of Warcraft? 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However, I realize that even those dogs who live in the street might get influenced by dextral people:     There is no domestic animal which has so radically altered its whole   way of living, indeed its whole sphere of interests, that has become   domestic in so true a sense as the dog (Konrad Lorenz)   Is there any research about it? Enable HTTP DELETE requests on Apache server I need to configure my server to permit the http delete method.  currently, I get the following error when I attempt to make this call:    HTTP/1.1 405 Method Not Allowed Date: Mon, 11 Apr 2011 20:56:23 GMT Server: Apache/2.2.17 (Win32) PHP/5.3.5 Allow: GET,HEAD,POST,OPTIONS,TRACE Content-Length: 233 Keep-Alive: timeout=5, max=98 Connection: Keep-Alive Content-Type: text/html; charset=iso-8859-1     I have searched far and wide and have not been able to come up with an answer as to how I can configure the server to allow this request.  Someone please help as it has put a stop to my project. Show Log of the Sql statements that QGIS generates to retrieve Data from Postgis Is there a ways to  - make QGis log its generated SQL Statement or to - force POSTGIS to log all interaction with QGIS?  There is something strange happening to the WFS layer I retrieve in QGIS, since it does  not select all data available in the respective database table. I need to find out, what criteria QGIS chooses in order to narrow down the select set. For a simple circuit with a battery supplying a voltage $V$ to a capacitor, let us assume that the charge on the capacitor is $Q$. Now, the work done by the battery or the energy supplied is given by the relation:  $$W=QV$$  But the energy stored in the capacitor is given by:  $$U = \tfrac12 QV$$  The value of $Q$ as well as that of $V$ should be the same in both the equations.  Now my question is, where is the other half of the energy that the battery supplied? What does “a couple” mean to you, and what does “a few” mean to you? What does “a couple” mean to you, and what does “a few” mean to you?  Is there a proper way to use these words?  It was striking to hear that “a couple” meant two (2) to someone.  My reaction was, “how/why do you make a short word longer by adding an extra syllable to just say ‘two?’”  I think Few: 2-3, Couple 4-6, Several 7+.  What are your thoughts? If $x,y,z\in\mathbb R\setminus \{1\}$ and $xyz=1$, prove that $\frac{x^2}{(x-1)^2}+\frac{y^2}{(y-1)^2}+\frac{z^2}{(z-1)^2}\ge 1$. File and directory comparison tool? I'm looking for something that will compare directories and files like Beyond Compare does for windows.  Its mainly for use of source control, but I need to use it for deployment as well. Shipping Labels not received for round trip courier service for UK Visa using VFS Global I purchased the round-trip courier service through VFS Global. In the instructions, it states that you will receive in a separate email the shipping labels for this courier service. I receive Registration Details and Transaction Details only. No Shipping labels. I have called VFS Global in NY,NY and no human being access to ask questions, just an insane phone tree that does not answer my questions on how to get shipping labels that were never sent. I have called the British Consul in Atlanta and she could not answer my questions then transferred me to the same phone tree message that I receive through the British Consulate. I have sent emails to customercare@vfsglobal.com, info.vfsnewyork@vfsglobal.com, NYscanhub.escalate@vfsglobal.com, DLUKVInewyorksensitive@fco.gov.uk and I have received no response from anyone.  Frustrated. I do not know what to do. Please help me!!