Well I thought it would be either 12 or 18 but... I have a battery and a solar panel so I thought I'd just try it.  I actually measured the voltage to be 9.7 before hand (btw it's an old lead acid car battery) and then I measured the volts on the solar panel and it was 20 +- a few (bc clouds and what not) then I hooked up the positive to positive and negative to negative, and measured 10.2 volts. Why not 9.7 or 20!?  I'm theorizing that this is because the battery put a drain on the solar causing that things volts to drop, so not 20. And the solar is boosting the battery causing it's volts to increase so not 9.7... and of course the internal resistance of the battery  is causing the whole thing to slide towards the lower end of the scale. Well is anything I said even making sense? Are there other considerations? Or is my original expectation right and it should read 20v and the solar setup is anomalous? lol.  Ps I took a few physics classes and even a circuits class years ago so if your answer gets technical I may still be able to follow.  Thanks in advance.  Edit: I drew this picture which is a simplified circuit diagram of my setup (voltages shown are only approximations):    If you get rid of the battery between points a and b you read 20, if you get rid of the solar panel you read 9, my question is simply why 10 and not 9 or 20? What calculation results in a 10? Is it an average, subtraction? In other words it doesn't look like it is simply related to either of the starting voltages. :/
If we have 2 batteries one of emf x and the other is of emf y and we connect them in series we get an effective emf of x+y.  But what if we connect them in parallel, how to calculate the emf now?
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d  $ roots.  Thoughts so far:  I feel like I might be missing something here. If $ R $ is an integral domain, then so is $ R[X] $. The factor theorem gives a correspondence between roots and factors. Clearly (is this clear?) a polynomial of degree $ d $ can't have more than $ d $ irreducible factors. "Its" and "it's" - how to remember? What is a good mnemonic rule that an English learner can use to remember the difference between its (possessive adjective: a team has started its lunch) and it's (verb: it's raining)? MT7610U - Unable to install wifi driver "Overclocking" an AVR In AVR datasheets under the Electrical Characteristics section you will typically find a graph like this (this one is from the ATMega328):    I've seen designs that seem to "work" but operate outside the shaded envelope. Specifically, I've seen 3.3V (Arduino) designs that run the clock from an external 16MHz crystal. Clearly, this is out of spec. What are the practical negative consequences of running outside this envelope? Make mouse left-handed and touchpad right-handed I see that I can configure mouse and touchpad all in one panel (Ubuntu 13.10, defaults, Gnome). Which is to some extend. Namely, I want to have the touchpad differently configured then the mouse and ...  When I have an (USB) mouse attached I use it normally left-handed. Therefore I switch the buttons to left-handed. But when I use the touchpad I feel little bit lost with that kind of configuration. Therefore I wanna have it right-handed.  Is there a way to achieve the following: when I plugin a mouse (respectively when it is detected) automatically switch to left-handed and when I unplug it, switch automatically to right-handed? What are the differences between "su", "sudo -s", "sudo -i", "sudo su"? I already read it from manual but I can't see difference..  su - change user ID or become superuser  sudo -s [command]   The -s (shell) option runs the shell specified by the SHELL environment variable if it is set or the shell as specified in passwd(5).  If a                    command is specified, it is passed to the shell for execution.  Otherwise, an interactive shell is executed.  sudo -i disappear description in manual I am developing firefox extension and wanted to count total number of text box of webpage so how to count text box? With me going it alone in development I only have limited resources at my disposal i.e one pc with which I develop and test the game. so I only know for certain my game works with that setup.  What options have I got in testing the game on the many different hardware/operating system combinations? Its a windows desktop game. "Open in terminal" not working on nautilus as root When using natilus as root, open in terminal used to work as using with any user. However, when I press open in terminal when using nautilus as root now, it does nothing.  How to solve it?  The error:  GLib-GObject-CRITICAL **: g_object_set_data: assertion 'G_IS_OBJECT (object)' failed Easy way to turn JavaScript array into comma-separated list? I have a one-dimensional array of strings in JavaScript that I'd like to turn into a comma-separated list. Is there a simple way in garden-variety JavaScript (or jQuery) to turn that into a comma-separated list? (I know how to iterate through the array and build the string myself by concatenation if that's the only way.) Object-oriented shell for *nix If I want to investigate how two continuous variables are linked, what is the difference between calculating the correlation coefficient (Pearson's $r$) versus calculating the (simple linear) regression coefficient?  I see people who, if the regression coefficient is significantly different from zero, talk about the two variables as if they are correlated, which is confusing as it suggests that the two coefficients (correlation, regression) are the same thing.  Having said that, isn't $r$ a measure of the (regression line) slope anyway? I'm confused!! At the moment I'm working with the . For this I read the following paper: .  But I have some mathematical problems with this formalism. I don't really see why this is a variation principle since it is opartor-valued.   The action principle is defined by: $\delta S  = G_1 -G_2$, where $S$ is the action operator $S = \int_{t_1}^{t_2} dt ~L$ and $G$ the generator operators of the transformations.  What does it mean that the action principle is operator-valued? For the classical action where $S$ is real we search for a stationary point but for operators? I also have a problem that $\delta S \neq 0$. What interpretation has this additional term $G_1 - G_2$? GridBox/packed array behaviour Sarrus Rule with LaTeX What are the rules for calling the base class constructor? What are the C++ rules for calling the base class constructor from a derived class? For example, I know in Java, you must do it as the first line of the subclass constructor (and if you don't, an implicit call to a no-arg super constructor is assumed - giving you a compile error if that's missing). How to pretty print XML from Java? I have a Java String that contains XML, with no line feeds or indentations. I would like to turn it into a String with nicely formatted XML. How do I do this?  String unformattedXml = "&lt;tag&gt;&lt;nested&gt;hello&lt;/nested&gt;&lt;/tag&gt;"; String formattedXml = new [UnknownClass]().format(unformattedXml);   Note: My input is a String. My output is a String.   (Basic) mock result:    &lt;?xml version="1.0" encoding="UTF-8"?&gt; &lt;root&gt;   &lt;tag&gt;     &lt;nested&gt;hello&lt;/nested&gt;   &lt;/tag&gt; &lt;/root&gt; I just started playing Overwatch (played a few games during open beta, but wasn't able to play much). I'm enjoying Mercy, but who (in a group situation) should be getting the damage buff? Additionally, when my team splits up, who should I follow to support? Do you need to take the Hide action when you are Invisible, make no noise and leave no traces? The Situation: Lets say you are under the effect of Invisibility.  An invisible creature is impossible to see without the aid of magic or a special sense. For the purpose of hiding, the creature is heavily obscured. The creature's location can be detected by any noise it makes or any tracks it leaves.  And you are wearing the Boots of Elvenkind  While you wear these boots, your steps make no sound, regardless of the surface you are moving across. You also have advantage on Dexterity (Stealth) checks that rely on moving silently.  Now your groups ranger or druid casts Pass Without Trace on you.  [...] can’t be tracked except by magical means. A creature that receives this bonus leaves behind no tracks or other traces of its passage.  My Question(s): I know that when you are Invisible and you did not hide, you are still detectable because of the noise and the track you leave behind. But the Boots of Elvenkind and Pass Without Trace take care of that. So:  Are you still required to take the hide action in this situation if you don't want enemies to know your location/presence? If so, why? What gives away your location? If not and you are under the effect of greater Invisibility do you get the benefits of &quot;Unseen Attackers and Targets&quot; for every attack you make when you move between attacks? (You would give away your location, but are not detectable, so completely hidden again when you move) I am working to build a reinforcement agent with DQN. The agent would be able to place buy and sell orders for a day trading purpose. I am facing a little problem with that project. The question is "how to tell the agent to maximize the profit and avoid the transaction where the profit is less than 100$".  I want to maximize the profit inside a trading day and avoid to place the pair (limit buy order, limit sell order) if the profit on that transaction is less than 100$. The idea here is to avoid the little noisy movements. Instead, I prefer long beautiful profitable movements. Be aware that I thought using the "Profit &amp; Loss" as the reward.  "I want the minimal profit per transaction to be 100$" ==> It seems this is not something that is enforceable. I can train the agent to maximize profit per transaction, but how that profit is cannot be ensured.  At the beginning, I wanted to tell the agent, if the profit of a transaction is 50 dollars, I will remove 100 dollars, then It becomes a penalty of 50 dollars for the agent. I thought it was a great way to tell the agent to not place a limit buy order if you are not sure it will give us a minimal profit of 100$. It seems that all I would be doing there is simply shifting the value of the reward. The agent only cares about maximizing the sum of rewards and not taking care of individual transactions.   How to tell the agent to maximize the profit and avoid the transaction where the profit is less than 100$? With that strategy, what guarantee that the agent will never make a buy/sell decision that results in less than 100 dollars profit? Does the sum of reward - # transaction * 100 can be a solution?