When is a cellular automaton "bidirectional"?
When is a cellular automaton "bidirectional"?
How do I connect to a MSSQL database using Perl's DBI module in Windows? Asume the following search queries: osx, cocoa, iphone, xcode, applescript, mac, carbon    Searching for osx, cocoa, iphone or xcode like:   http://stackoverflow.com/search?q=osx   Results into searching by tag:   http://stackoverflow.com/questions/tagged/osx   While searching for applescript, mac and carbon like:   http://stackoverflow.com/search?q=applescript   Results into searching by string.  Yes, I know how to search by tags using brackets: [applescript] But why are the queries above interpreted differently? All queries are valid Stack Overflow tags! Why not convert all queries into search by string or search by tag? What is the logic behind? Tag popularity? It seems rather inconsistent to me. How do you keep parents of floated elements from collapsing? If one obtains results in one area of a field (say during an MSc thesis) before deciding that one is not interested in making a career in that area, should one take the time (as a PhD student) to get make those results publishable, or is it better to focus on the new area? Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$ How can I show that $n^2&lt;n!$ for all $n\geq 4$ Step 1 For $n=1$, the LHS=$4^2=16$ and RHS=$4!=24$. So LHS$&lt;$ RHS. Step 2 Suppose the result be true for $n=k$  i.e., $k^2&lt;k!$ Step 3 For $n=k+1$ $(k+1)^2=k^2+2k+1$ What will be the next step? Traditionally  at the end of a filename after uploading it via the image uploader. That doesn't seem to work any more. I've tested it on Q&amp;A as well as chat.        (Yes, I know big M doesn't work)  Could we have this fixed please? Prove that if a function $f: X\to Y$ continuous then its graph is closed How to compare the strings using < (Greater than symbol) Below is my input file:  PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:16:46.523.177, 2 PS Sensor Value = -5.501000 , Min = -5.583000 , Max = -5.319000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:16:46.523.210, 3 PS Sensor Value = 15.996000 , Min = 15.814000 , Max = 16.078000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:16:46.523.231, 4 PS Sensor Value = -16.505000 , Min = -16.587000 , Max = -16.323000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:16:46.523.263, 5 PS Sensor Value = 6.509000 , Min = 6.327000 , Max = 6.591000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:16:46.523.302, 6 PS Sensor Value = 4.002000 , Min = 3.820000 , Max = 4.084000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:17:46.481.557, 1 PS Sensor Value = 6.199000 , Min = 6.017000 , Max = 6.281000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:17:46.518.691, 2 PS Sensor Value = -5.503000 , Min = -5.585000 , Max = -5.321000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:17:46.523.156, 3 PS Sensor Value = 15.996000 , Min = 15.814000 , Max = 16.078000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:17:46.523.195, 4 PS Sensor Value = -16.505000 , Min = -16.587000 , Max = -16.323000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:17:46.523.221, 5 PS Sensor Value = 6.509000 , Min = 6.327000 , Max = 6.591000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:17:46.523.240, 6 PS Sensor Value = 4.002000 , Min = 3.820000 , Max = 4.084000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:18:46.480.644, 1 PS Sensor Value = 6.199000 , Min = 6.017000 , Max = 6.281000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:18:46.522.615, 2 PS Sensor Value = -5.501000 , Min = -5.583000 , Max = -5.319000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:18:46.522.729, 3 PS Sensor Value = 15.996000 , Min = 15.814000 , Max = 16.078000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:18:46.522.765, 4 PS Sensor Value = -16.505000 , Min = -16.587000 , Max = -16.323000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:18:46.522.788, 5 PS Sensor Value = 6.509000 , Min = 6.327000 , Max = 6.591000 PA43410-2,1,3,/vobs/atlas-idc/src/utils/logger/IDCLogger/IDC.cpp,48,19:18:46.522.810, 6 PS Sensor Value = 4.002000 , Min = 3.820000 , Max = 4.084000   I need to compare the PS Sensor Value, Min and Max value. (Min greater than PS Sensor greater than Max)   I'm expecting the output like below and here I should have only the normal lines.  What is normal lines? :  If Min value greater than PS Sensor value &amp;&amp; PS Sensor value  is greater than Max value then the line is normal lines and that should removed.        Expected Output:                                                                                                                                    PA43410-2  PS Sensor Value = 6.509000 , Min = 6.327000 , Max = 6.591000 PA43410-2 PS Sensor Value = 6.199000 , Min = 6.017000 , Max = 6.281000  Eg:     If   Min &lt; PS sensor value &lt; Max,    // Don’t care the normal  lines.          Throw this line away.    Else           Pull this line to consolidated new file. //Only focus on abnormal lines. In the double-slit experiment of electrons (observed by photons), is it correct to say the collapse is caused by the momentum of the photons? I'm working off the article, . I think it's well-written, but I'm not convinced about this part:     So what is causing the change in the particle’s behaviour?      In the example given above, when electrons are fired at a fluorescent screen, when we bombard the electrons with photons the interaction changes the state of the system catastrophically as, despite lacking mass, photons do carry momentum.   Here the author strongly implicates the momentum of photons as being responsible for the collapse. But is that correct to say?  I have read that the  verified that obscuring which-way information restores wave-like behavior. So it feels to me it's more about some "outer" state (perhaps well-characterized as "information") that we don't yet understand that collapses the system, not per se the photon-electron interaction.  Or am I wrong, and in fact for example, the process of obscuring in the quantum eraser experiments somehow "undoes" the photon-electron interaction or restores the quantum state through another interaction? What methods can be used to micro-adjust autofocus of a camera body to a particular lens? I have a Canon 7D with a 50mm f/1.4 lens, and I think the auto-focus of the lens is off.  How can I test and adjust this reliably?  Will this approach work with all of my lenses? If I had a different camera body, would I have other/different options? The exercise is: Prove that $-(-v)=v$ for every $v \in V$  Proof Suppose  $v \in V$ and $V$ is a vector space. Then $-(-v) \in V$ as result of the scalar multiplication property and $-(-v)=-(-1\cdot v)=-1 \cdot(-1\cdot v) =(-1 \cdot-1)\cdot v = 1 \cdot v = v $ The desired result $-(-v)=v$ holds.  The solution manual gives the proof:  Proof   I just wanted to make sure that the way I did the proof isn't missing anything?Thanks We know the optimum angle for greatest horizontal displacement when launching an object with projectile motion is 45 degrees.  How to solve the angle when it is real long distance around the earth where we cannot assume that gravity is constant but is given by $F=\frac {-GMm}{r^2}$. I use differetial equation to solve it and obtain 45 degrees.   First, for the vertical distance $y$, change $v=u-gt$ to $y'=u-y''t$. Then solve it to obtain a function $y(t)$. When $y'(t)=0$ we have the time for maximum vertical distance. Then insert the value to horizontal equation.   Can anyone guide me through this problem because I am not confident with my working Purchasing a Switch - AC vs DC Current Specifications? I'm trying to purchase several switches for a DC system with moderately low current (a few amps at 12V). When browsing for switches in parts catalogs (e.g.  and ) there are always separate voltage ratings for AC and DC applications. I understand that AC switches are less expensive because the switching time does not need to be as fast and arcing is less of a concern. There is only one current rating listed and I am not sure if it applies to AC switching, DC switching, or both.  Does this current rating apply to both the rated AC and DC voltages? Is there a good rule-of-thumb for converting between AC and DC voltage/current ratings? What is the highest current I could reasonably expect from a DC switch before moving to a relay? What does "overfull hbox" mean? (Why is there a black mark at the end of a line?) I often see output from TeX with the warning overfull hbox, badness 10000. What does this message mean? Does the pilot of a rocket ship experience an asymptotic approach to the speed of light? Pugh, "Mathematical Analysis", exercise 2.17:     Assume $f : M \to N$ is a map from one metric space to another which satisfies the following condition: for every convergent sequence $(a_n) \subset M$, the sequence $(f(a_n)) \subset N$ converges. Prove that $f$ is continuous.   (I know that if $f$ commutes with limits then the answer is affirmative, but I can't prove it with that hypothesis). How do I create Fortify Alchemy enchantments up to 29%? What's the difference between "Service" and "/etc/init.d/"? The screen of my phone is physically broken, so it doesn't display anything, but the touch aspect does seem to be working, as I can unlock my phone, and get haptic feedback.  Before I go to get it replaced, I'd like to back up some personal data from the built-in memory to the SD card. I'm fairly certain that if I can get adb to recognize the device, then I can use  to see where I am touching the screen and do what I need to do. Problem is, when I plug it in, it's not recognized, while my emulator is.  I suspect that I might not have USB debugging enabled, which I think is necessary for adb to work. If this is the case, can someone give me screenshots of their Droid X (running 2.3.X) going from the home screen, through all the menus, to activating debug mode? Hopefully I can do it by dead reckoning and adb from there.  Edit: I haven't changed anything about the ROM or launcher; it's all stock.