Recently I learnt about shielding a region of space from an electric filed. I wondered if the same can happen for magnetic field.
Can magnetic fields be "blocked"? For example, in the game, TitanFall, a robot stop bullets with ( presumably ) a magnetic shield.  I wish to calculate the magnetic force required to stop a bullet within a few microseconds.  But the problem I have is that my entire electronic system or the vehicle ( most likely even a building ) will be subjected to massive fields most likely destroying it as well.  Does any know of a way to "block" or divert the field around my vehicle? Is it even possible? My knowledge in magnetic fields are quite limited at this time.
I want to know a proof of an alternative form of Fermat-Euler's theorem   $$a^{\phi (n) +1} \equiv a \pmod n$$   when $a$ and $n$ are not relatively prime.   I searched some number theory books and a cryptography book and internet, but there were only proofs of the original theorem  $a^{\phi (n)} \equiv 1 \pmod n$ or in case n=pq which is used for RSA. So I would be very thankful if someone show me a proof or book I should read. How to extract code of .apk file which is not working? How do I get a list of all files (and directories) in a given directory in Python? Number of connected components of the complement of a compact Let $X$ be a connected, locally compact space and let $K$ be a compact subset of $X$. Is the number of connected components of the complement $X\setminus K$ finite? If it is not, are there some hypotheses over $X$ for finiteness of connected components? Editing a post during review doesn't show an "edit not possible" message While reviewing First Posts on Super User, I noticed that I couldn't edit this question (see below). Clicking the &quot;edit&quot; link simply does nothing. Editing is not possible for me right now because I have already five suggested edits pending. It used to be the case that the link would've been grayed out (and the reason shown as a popover). , and while I'm not sure it's an improvement, the current implementation needs some fixing at least.  This bug appears regardless of the actual reason that the edit isn't possible; for instance,  is another user experiencing the same bug who couldn't suggest an edit because of an already pending one. Apparently, I'm far from the only one who experiences this issue. As of last Sunday morning,  have been posted networkwide (and are still alive) and  is #16. I created a new profile for gnome-terminal and I can switch between &quot;Implicit&quot; profile and the new created profile as you can see in the below image:  Now I wonder how can I switch between profiles using a command-line/script or maybe using a shortcut for this.  Note: Solutions like: gnome-terminal --tab-with-profile=Implicit &amp;&amp; exit   are excluded because I prefer not to close and open another terminal or get another terminal window in this process of changing the profile. How to reduce the fan noise and how to increase battery life? I have a brand new Sony Vaio S series laptop.() It came factory installed with Windows 7 professional Edition 64bit. Runs Intel core i5, 500 GB HDD , 4GB Ram. First I installed ubuntu 11.10 64 bit along side Windows to dual boot. Later,since the problem did not solve, I installed ubuntu 12.04 64bit along side Windows to dual boot. However the problem keeps annoying me.  Problem: When running ubuntu 11.10/12.04, the battery lasts only about 1.5 hours. The Fan runs loud and continuously. And there is a lot of heat generated. System monitor shows less than 5% CPU used. My laptop enjoys hybrid graphic and I tried turning off ADM graphic card and keep Intel graphic card on. However I can not get the Fan noise or heat to go away and consequently the battery drain continues. BTW, in windows, the laptop gives 4-5 hours of battery power, Fan is silent and there is no heat problem. Any ideas on how to reduce the fan noise and how to increase battery life in ubuntu 11.10/12.04? Rice with worm and possibly their eggs I bought a bag of brown rice from a store. After having opened and used for a while, I found there were moths flying in the house. At the same time, I found worms in the rice. I suspect that the moths are from the worms(rice-size, white body, dark head). I guess but am not sure if they are called rice moths. There were also many little sand-like things in the rice bag, are they the eggs of the rice moths?  Will eating this infested rice pose a health risk? I have a bathroom door that is quite loud when operated. And when someone goes to the bathroom at night, it innevatibly wakes someone up (and baby room is just across from the bathroom!) there are 3 components of noise, and I was wondering if there is an alternative to fixing them:   door bangs against the jamb (this is fixed with simple foam bumpers) latch mechanism makes a loud CLUNK when door is pushed closed (I was able to dampen it just a bit by putting foam inside strike plate, but it is still quite loud) lock button also makes a CLUNK when the knob is turned and it is released (this can be battled by replacing with a mechanism that needs to be manually opened [twist instead of push] but it is less convenient, and I would prefer something that automatically unlocks)   Any suggestions as to a knob that has a dampening of the latch and lock button? I have only found one youtube video of my ideal handle, but there is no information on how it works, where to buy it, or anything else: Prove by Mathematical Induction: $1(1!) + 2(2!) + \cdot \cdot \cdot +n(n!) = (n+1)!-1$ Prove by Mathematical Induction . . .  $1(1!) + 2(2!) + \cdot \cdot \cdot +n(n!) = (n+1)!-1$  I tried solving it, but I got stuck near the end . . .  a. Basis Step:      $(1)(1!) = (1+1)!-1$      $1 = (2\cdot1)-1$      $1 = 1 \checkmark$   b. Inductive Hypothesis     $1(1!) + 2(2!) + \cdot \cdot \cdot +k(k!) = (k+1)!-1$   Prove k+1 is true.     $1(1!) + 2(2!) + \cdot \cdot \cdot +(k+1)(k+1)! = (k+2)!-1$      $\big[RHS\big]$      $(k+2)!-1 = (k+2)(k+1)k!-1$      $\big[LHS\big]$      $=\underbrace{1(1!) + 2(2!) + \cdot \cdot \cdot + k(k+1)!} + (k+1)(k+1)!$ (Explicit Last Step)      $= \underbrace{(k+1)!-1}+(k+1)(k+1)!$ (Inductive Hypothesis Substitution)      $= (k+1)!-1 + (k+1)(k+1)k!$      $= (k+1)k!-1 + (k+1)^{2}k!$   My [LHS] looks nothing like my [RHS] did I do something wrong?  EDIT:     $ = (k+1)k! + (k+1)^2k! -1 $      $ = (k+1)(k!)(1 + (k+1))-1$      $ = (k+1)(k!)(k+2)-1 = (k+2)(k+1)k!-1$ Evaluate the limit : $$\lim_{n \to \infty } {1 \over {\sqrt n }}\left( {1 + {1 \over {\sqrt 2 }} + {1 \over {\sqrt 3 }} + \cdots + {1 \over {\sqrt n }}} \right)$$  I can use the sandwich principle, certain convergence criteria, Cesaro mean theorem, limit arithmetic.. things around this area.  Any help would be greatly appreciated, thanks!  Sorry for not elaborating more at the beginning, rookie first-post mistake I suppose. :) SSH: How to disable weak ciphers? Automatic text wrapping in ArcMap layout text element? Among any three consecutive positive integers one is a multiple of 3 sf:INVALID_OPERATION: INVALID_OPERATION: testLevel of NoTestRun cannot be used in production organizations While deploying code in vsCode from sandbox to production I get the below error      sf:INVALID_OPERATION: INVALID_OPERATION: testLevel of NoTestRun cannot   be used in production organizations   As per the error, I need to change the value of testLevel but I am not able to find where and how can I change it to RunLocalTests  Could someone please help me to change the value of testLevel in vsCode I am getting these warnings every time I update my initramfs image(-s) with  on my Dell PowerEdge T20 server running    10.0. Is there a fix?    W: Possible missing firmware /lib/firmware/i915/bxt_dmc_ver1_07.bin for module i915 W: Possible missing firmware /lib/firmware/i915/skl_dmc_ver1_27.bin for module i915 W: Possible missing firmware /lib/firmware/i915/kbl_dmc_ver1_04.bin for module i915 W: Possible missing firmware /lib/firmware/i915/cnl_dmc_ver1_07.bin for module i915 W: Possible missing firmware /lib/firmware/i915/glk_dmc_ver1_04.bin for module i915 W: Possible missing firmware /lib/firmware/i915/kbl_guc_ver9_39.bin for module i915 W: Possible missing firmware /lib/firmware/i915/bxt_guc_ver9_29.bin for module i915 W: Possible missing firmware /lib/firmware/i915/skl_guc_ver9_33.bin for module i915 W: Possible missing firmware /lib/firmware/i915/kbl_huc_ver02_00_1810.bin for module i915 W: Possible missing firmware /lib/firmware/i915/bxt_huc_ver01_07_1398.bin for module i915 W: Possible missing firmware /lib/firmware/i915/skl_huc_ver01_07_1398.bin for module i915 Why does Google Analytics report 100% bounce rate when the page has lots of page views? Google Analytics reports 100% bounce rate for a page which has lots of page views and an Avg Time on Page of 32 seconds. Shouldn't one of the following be true?  Either the bounce rate is less than 100% when the Avg Time on Page is greater than 0 or the Avg Time on Page is 0 when the bounce rate is 100%.  I fail to see how or why the report does not conform the above two conditions. How to print the entire array list without appending the index in Java? Kernel requires an x86-64 CPU, but only detected an i686 CPU. How can I install Lubuntu/Ubuntu? For distinct prime numbers $p_1,...,p_n$, what is the Galois group of $(x^2-p_1)\cdots(x^2-p_n)$ over $\mathbb{Q}$?     This problem appears to be quite common, however my understanding of Galois theory is quite poor, and I have no idea how to do this problem.