Ever since I can remember, I've used 'to me' and 'for me' interchangeably.  Examples:      To me, writing about the future is too troublesome.     Writing about the future is too troublesome for me.   Note: 'for me' sounds better when put at the end of the sentence. Re-arranging the phrase like that does not alter its meaning and purpose.   Now, does this make a difference? I'd once read somewhere that 'to me' is "right" and it's wrong the other way. I've seen many writers use 'for me', myself included.   Is it...   a myth like many well-known grammatical rules are   or    a fact which many people are not aware of?
I would like someone to explain me how the sense of a sentence changes with using "for me" or "to me":  Some examples:     1a.  She is a good friend to me.   1b.  She is a good friend for me.        2a.  How special you are to me.   2b.  How special you are for me.        3a.  It's an interesting topic to me.   3b.  It's an interesting topic for me.
Why isn't smoke flowing with the shape of the domain? I created this Smoke domain.    Then When I added smoke, it didn't stay within the domain, it went through the hole. Prove $a^\alpha b^{1-\alpha} \le \alpha a + (1 - \alpha)b, \; a,b > 0,\; 0 < \alpha < 1$ Coefficients change signs I have a dataset where there is a high degree of multicollinearity, with all variables correlating positively with each other and the dependent variable. However, on some of the models I run I get a couple of significant negative coefficients. Basically there are two coefficients that depending on what variables I include in the model, I can manipulate their signs.  My understanding is that if the variance-covariance matrix only contain positive values, then all coefficients should also be positive. Is this correct? I understand that multivariate regression models contain more than 1 dependent variable, but what is the difference between running a multivariate regression with dependent a and b to a set of independent variables, rather than running two regression models, one for a and one for b against the same set of independent variables? Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$ What is the number of Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$? Duplicate:                      The number of residents has grown.    The number of residents have grown.      Which of the above sentences is grammatical? Since has should stick with singular nouns and have with plural ones, I guess (2) should be correct, but I'm not sure. To prove in a Group Left identity and left inverse implies right identity and right inverse Let $G$ be a nonempty set closed under an associative product, which in addition satisfies :      A. There exists an $e$ in $G$ such that $a \cdot e=a$ for all $a \in G$.      B. Given $a \in G$, there exists an element $y(a) \in G$ such that $a \cdot y(a) =e$.      Prove that $G$ must be a group under this product.   Attempt -Since Associativity is given and Closure also, also the right identity and right inverse is given .So i just have to prove left identity and left inverse.  Now as $ae=a$ post multiplying by a, $aea=aa$. Now pre multiply by a^{-1} I get hence $ea=a$. And doing same process for inverse Is this Right? Terminal prompt overwrites current line Suppose that $A$ is an integral domain. If $a,b$ are element of $A$ and $a$ is a unit, then how come the change of variable $X\mapsto aX+b$ extends to a unique automorphism of the polynomial ring $A[X]$, which equals the identity map when restricted to $A$?  Thanks for any ideas or ways to get started. Check for internet connection with Swift Are there any coding style guidelines for LaTeX? How to activate bluetooth device for RTL8723DE? The wireless drivers for the RTL8723DE appeared for downloading and the module is now usable for Wi-Fi.   See   But the bluetooth part of it is yet not supported on Ubuntu. How this can be fixed?  lsusb shows  Bus 001 Device 003: ID 0bda:b009 Realtek Semiconductor Corp.    And usb-devices | awk '/0bda/' RS=  T:  Bus=01 Lev=02 Prnt=02 Port=03 Cnt=01 Dev#=  3 Spd=12  MxCh= 0 D:  Ver= 1.10 Cls=e0(wlcon) Sub=01 Prot=01 MxPS=64 #Cfgs=  1 P:  Vendor=0bda ProdID=b009 Rev=02.00 S:  Manufacturer=Realtek S:  Product=802.11n WLAN Adapter S:  SerialNumber=00e04c000001 C:  #Ifs= 2 Cfg#= 1 Atr=e0 MxPwr=500mA I:  If#= 0 Alt= 0 #EPs= 3 Cls=e0(wlcon) Sub=01 Prot=01 Driver=btusb I:  If#= 1 Alt= 0 #EPs= 2 Cls=e0(wlcon) Sub=01 Prot=01 Driver=btusb Show path of a body of where it should go after linear impulse is applied I am making a game with Andengine and Box2D. I have a dynamic body and I apply linear impulse on the body to move it around when the user have touched the screen.  Now I want to show the path where the body will go when the user have touched. If you have played Angry Birds or Basket Ball Shoot or any other which have projectile motion with a path shown you will get my point. I want to show the white dots which are shown in those games. Code is supposed to be exact and "as-is". Sometimes, showing two spaces is important. In a comment, it is not possible to show code with  multiple   spaces. This became apparent in  (see comments).  EDIT: apparently this bug is larger then I thought: multiple    spaces   here are neither preserved in normal question text. Pity (though I couldn't find this reported before, I'd assume it is).  Workaround: use Alt+0160 (windows), or U+00A0 (Unicode NBSP), as I did in the example above. No notification (+15) for accepted answer Yesterday my answer was accepted, but I got no notification in top bar, moreover, top bar still shows that I earned 45 reps  while reputation tab shows right 60 rep.  Update: July, 11 Again having this problem: In the dropdown:  In the rep tab:  You see, first down votes in the drop down are missing. Why does \cal{M}_n give “M>”? \xymatrix undefined Markov chains, cellular automata, and raster algebra I need to build a probabilistic cellular automaton for simulating land-use changes and am wondering how to implement this in a GIS. I understand that Markov chains are a way of doing this, and IDRISI has some sort of module for Markov chains, but I have no access to IDRISI.  that, with raster data, this can, in theory, be done with any GIS that can do raster algebra. Presumably this means that it can even be done in ArcGIS, and I think I've figured out how to build cellular automata in ModelBuilder (once I know with certainty how to make iteration work there).  Still, I can find next to no practical advice on this. Once I have two datasets, one showing the land use at a certain point in time (time A) and the other at a later time (time B), I imagine doing the following (correct me if I'm wrong):   If there are (for example) 3 types of land use, then there are 9 possible things that can happen to a cell from time A to time B; thus, reclassify each dataset such that each land use is represented by a different number (for example, 9, 11, and 14 at time A and 3, 4, and 5 at time B); Divide one raster by the other, obtaining a raster with 9 possible cell values. Determine the percentage of cells in the new raster that has each of the 9 values (I forgot, how does one do this in ArcGIS?); those will be the probabilities of each type of change (or lack thereof) in land use.   What I cannot figure out, though, is how to apply these probabilities during the next iteration. Finally, I wonder if there is a way of making an external factor (say, proximity to roads) influence the spatial distribution (not the overall likelihood) of change in my model.  Can anyone recommend where to find information on how to do this in ArcGIS? What is the difference between "thee" and "thou"? Can I see images and watch movies inside the terminal emulator