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How do I calculate the power consumed by a lightbulb? I'm studying a lightbulb and its variable resistance, given by the expression:  $R(T) = Ro[1 + α(T-T_0)]$, where $R_0$ is the resistance of the lamp at $T_0$.  In this case, $R$ is not given by Ohm's law ($V=Ri$). So, which expression can I use to calculate the power consumed by a lightbulb?   $P = R\cdot i^2$ $P = \frac{V^2}{R}$ $P = V\cdot i$ (I don't think I can use this one)   I have measured the current and the e.p.d. at the bulb using instruments. I am running Ubuntu 14.04.2 and I want to format my disk for another operating system (Windows 10).  My desire to do this stems from a recent problem I have been having with installing the new OS. I try to boot from a live DVD (which I have confirmed is working), but my computer does enter the Windows 10 installation setup.  So, I am hoping that completely wiping the disk will solve this issue. Ideally, I want to do this with my only resources being Ubuntu and an internet connection. I can't connect the hard drive to another computer, and it would be difficult for me to have to burn a disc for any reason.  Thank you. The question of  made me wonder as to whether wizards, any of them, do practice religion. Whether there be magic-person only religions or shared muggle faiths, I do not recall any wizards (born in the wizard world anyway) saying that they did practice a religion.  Many of them do celebrate Christmas, but as was commented on the above linked question, there are many non-christian muggles that also observe Christmas. So I am not sure that can be an accurate identifier. Answering this question may link into identifying . What's the difference between mobile and desktop processors? I just read about the new Samsung Galaxy Note Edge having a 2.7&nbsp;GHz quad-core processor and 3GB of RAM.  The laptop I bought last year by HP is 4&nbsp;GB of RAM and 2.3&nbsp;GHz quad-core and my iMac is even older and is 2.5&nbsp;GHz i5.  Does this mean that the new Samsung gadget is more powerful than my desktop?  Is the 2.7&nbsp;GHz the same kind of GHz as non-mobile devices (is it scaled up, or compared, etc.)?  Why, in terms of power, do modern computers not have two of those Samsung quad-core processors running in parallel pushing out 5.4&nbsp;GHz processing power for the amount of electrical energy as two Galaxy Note batteries? Windows 10 Asks me to Enter a Password I am using Windows 10 Pro x64 on my personal laptop on which I have a single user account with no password. For some reason however, Windows 10 has started asking me to enter a password whenever I boot up my machine. All I have to do is press the button without entering anything, and I log in, but I would much rather skip this step in favor of an automatic sign-in. Why has this started happening only now? What can I do to stop this behavior? Will wolves attack Ocelots? Calculate distance between 2 GPS coordinates How do I calculate distance between two GPS coordinates (using latitude and longitude)? Text to Speech shortcuts with two languages Motivation behind the definition of ideal class group How to evaluate the limit of this expression?  $$\lim_{x\to\infty} \frac{\sin^2\left( \sqrt{x+1}-\sqrt{x}\right)}{1-\cos^2\frac{1}{x}}$$  I managed to simplify the denominator into a sinus form by the Pythagorean formula, and also modified the argument of the sinus in the numerator by dividing with a conjugate which I think is necessary, into this final form:  $$\lim_{x\to\infty} \frac{\sin^2\left(\frac{1}{\sqrt{x+1}+\sqrt{x}}\right)}{\sin^2\frac{1}{x}}$$  And that's where I got stuck. So far I've tried to come up with some solution to eliminate the sinus from the denominator, without success. I'm sure the solution is pretty obvious but I don't quite know how to modify the trigonometric functions in this fashion, so any help would be most appreciated. Citing two authors gets displayed incorrectly #!/bin/bash echo "$(curl -s -I https://google.com|grep Server)" abc   returns:  abcer: gws   and bash -x shows:    ++ grep Server ++ curl -s -I https://google.com ' abco 'Server: gws  abcer: gws   but    echo abc "$(curl -s -I https://google.com|grep Server)"`    returns  abc Server: gws   In other words, if I add text AFTER the curl command, it gets mangled, but it's ok if I add it before curl. What is happening? I cannot figure it out. I estimated the sample covariance matrix $C$ of a sample and get a symmetric matrix. With $C$, I would like to create $n$-variate normal distributed r.n. but therefore I need the Cholesky decomposition of $C$. What should I do if $C$ is not positive definite? How to convert int[] to Integer[] in Java? Let $A,B \subset \mathbb{R}$. Show that $\sup(A \cup B) = \max\{\sup A, \sup B\}$ Let $A,B \subset \mathbb{R}$. Show that $\sup(A \cup B) = \max\{\sup A, \sup B\}$   Here's what I did so far:  Let $\sup A, \sup B$, and $\sup (A \cup B)$ denote upper bounds of $A,B$, and $A \cup B$, respectively. If $x \in A$, then $x \le \sup A$. If $x \in B$, then $x \le \sup B$. In either case, $x \in (A \cup B)$. So either $x \le \sup A$ or $x \le \sup B$. In either case, $x \le \max \{\sup A, \sup B\}$. So $\max \{\sup A, \sup B\}$ is the upper bound of $A \cup B$, which means $\sup (A \cup B) \le \max\{\sup A, \sup B\}$.  I do not know if there's a better way to go at it, but all I did was show the inequality. Can I do this, and show the reverse inequality? If so, how can I go about doing that? Merge files based on matching of first column Snapping in PyQGIS3.0 The following expression enables snapping for PyQGIS 2.0 :  QgsProject.instance().setSnapSettingsForLayer(layer.id(), True, 2, 1, 10, True)   What is the equivalent expression in PyQGIS 3.0? How can I simulate a slow machine in a VM? Expectation of momentum in the bound state Is it logically correct to assert that the expectation of the momentum $$\langle \hat p \rangle=0$$ for any bound state because it is bound to some finite region? What is the physical interpretation of the fact that $$\langle \hat p \rangle=0$$ in an energy eigenstate $\psi_n(x,t)$  but $$\langle \hat p \rangle\neq0$$ in some superposition state $$\psi(x,t)=c_m\psi_m(x,t)+c_n\psi_n(x,t)~?$$ Here $\psi_n(x,t)$ the eigenstates of the Hamiltonian, for example, in the problem of particle in a box (say). Uneven movement on camera following a path. I render a short movie. I set the camera to the circle curve to make it fly in circle. The problem is after render, the camera is a little shaky. Can anyone help me? Thanks first.