I uninstalled my MiKTeX and now after re-installing the software, my scripts in the environment of the MiKTeX are not shown by colors.  I use TexWorks IDE.  for example, when you write \usepackage{} it is shown fully black while it used to be shown in blue color.  Entire the text is black. As another example, comments used to be shown in Green.  Which package should I install or which settings should I change in Texworks to do so?
any latex code I want to view in TexWorks 0.4.5 r.1280 (Miktex 2.9) won't show the syntax highlighting. It compiles just fine but everything line is written in black. On very long documents the highlighting shows for several seconds then the program freezes for short and the highlighting disappears again. Windows compatibility modes did not improve the situation. Does anyone have an idea what's going wrong here?
Why is potential energy negative when orbiting in a gravitational field? How did nobody at Hogwarts (especially Dumbledore) figure out what killed Myrtle? More Efficient Spatial join in Python without QGIS, ArcGIS, PostGIS, etc I'm attempting to do a spatial join much like the example here: . However, that approach seems really inefficient / slow. Even running this with a modest 250 points takes almost 2 minutes and it fails entirely on shapefiles with > 1,000 points. Is there a better approach? I'd like to do this entirely in Python without using ArcGIS, QGIS, etc.  I'd also be interested to know if it's possible to SUM attributes (i.e. population) of all the points that fall within a polygon and join that quantity to the polygon shapefile.       Here is the code I'm trying to convert. I get an error on line 9:  poly['properties']['score'] += point['properties']['score']   which says:     TypeError: unsupported operand type(s) for +=: 'NoneType' and 'float'.    If I replace the "+=" with "=" it runs fine but that doesn't sum the fields. I've also tried making these as integers but that fails as well.  with fiona.open(poly_shp, 'r') as n:    with fiona.open(point_shp,'r') as s:     outSchema = {'geometry': 'Polygon','properties':{'region':'str','score':'float'}}     with fiona.open (out_shp, 'w', 'ESRI Shapefile', outSchema, crs) as output:         for point in s:             for poly in n:                 if shape(point['geometry']).within(shape(poly['geometry'])):                       poly['properties']['score']) += point['properties']['score'])                     output.write({                         'properties':{                             'region':poly['properties']['NAME'],                             'score':poly['properties']['score']},                         'geometry':poly['geometry']}) Whenever I open a .sh file, it opens it in gedit instead of the terminal. I can't find any option similar to Right Click → Open With → Other Application... → Terminal.  How do I open this file in the terminal? A friend of mine, native EN speaker, told me that the following is correct written like this:      We met on the 1st of June.   Is that really true? I cannot see any reference that these are used in written text. Highlight elements in the matrix I have a matrix and need to highlight some elements in the matrix. I have found how to highlight a single element (I want to put the cell in the square):  $$ A = \begin{bmatrix} \fbox{0} &amp; \fbox{0} &amp; 0 \\  \fbox{0} &amp; \fbox{0} &amp; 0 \\ 1 &amp; 1 &amp; 1 \\  \end{bmatrix}$$   But how can I outline elements of the submatrix like in the picture below? I need just a frame where some elements are located. I have some lines. I want to draw perpendicular lines at the start and end of the lines, on both sides of the lines.  Can somebody help me in Python?  I am using ArcGIS. I came across a map and when I was playing I found some coloured and bolded item names. I thought it isn't possible as at most you can only use the custom name tag to rename things! Is there a way to colour and bold item names in vanilla Minecraft? External programs are OK. Oh, and the wiki page of formatting codes doesn't really do much. Sometimes I use, $PROJECT_HOME/* to delete all files in the project. When the environment variable, PROJECT_HOME is not set (because I did su and the new user doesn't have this environment variable set), it starts deleting all files from the root folder. This is apocalyptic.  How can I configure bash to throw error, when I use an undefined environment variable in the shell? I need to find node voltage at A. This seems like a trivial question, but when I set up the resistive voltage divider equations they are not equal to each other. Am I doing something wrong?  My equations are \$V_A = V_1(R3/(R3+R1)) = V_2(R3/(R3+R2))\$      I tried solving this problem with an LTSpice simulation and with the superposition method, but my answers did not match (although very close to each other). Is this because the simulator uses an approximation? Can someone compare results? Consider the general linear regression model: $$y_i = \beta_0 + \beta_1x_{i1} + \beta_2x_{i2} + \cdots + \beta_px_{ip} + \epsilon_i = \mathbf{x}_i^t \beta + \epsilon_i$$  where $\textbf{x}_i = (1,x_{i1},x_{i2},\cdots,x_{ip})^T$, $\beta=(\beta_0,\beta_1,\cdots,\beta_p)^T$ and $\epsilon_i$ are iid N(0,$\sigma^2$).  I would like to see a complete proof of the following identity from first principles: $$\sum_{i=1}^n(y_i - \bar{y})^2 = \sum_{i=1}^n(\hat{y}_i - \bar{y})^2 + \sum_{i=1}^n(y_i - \hat{y}_i)^2$$ where $\hat{y}_i= \mathbf{x}_i^t \hat{\beta} $ ($\hat{\beta}$ is the least square estimator, $\bar{y}$ ia the sample mean of $y_i$).  I know that the two terms on the right can be obtained by subtracting and adding $\hat{y}_i$ on the left side. But this introduces a "cross term": $$\sum_{i=1}^n2(\hat{y}_i - \bar{y})(y_i - \hat{y}_i)$$  Many texts claim that this is zero, but I have not seen a general proof of this statement. How can this be shown? Where do I find the current C or C++ standard documents? For many questions the answer seems to be found in "the standard". However, where do we find that? Preferably online.  Googling can sometimes feel futile, again especially for the C standards, since they are drowned in the flood of discussions on programming forums.  To get this started, since these are the ones I am searching for right now, where are there good online resources for:   C89 C99 C11 C++98 C++03 C++11 C++14 C++17 I have a larger, external monitor connected to my MacBook Pro and have arranged it such that the dock is in the external monitor (via System Preferences > Displays > Arrangement, by dragging the white bar to the larger screen). This works fine, except for the fact that every now and then, the dock will suddenly shift back to my MacBook screen, but when I open up Displays to change this back, the white bar is still on the external monitor. So I have to drag it to the smaller screen, and then drag it back to the external monitor.   It's a minor issue, obviously, but I've noticed that it has been happening more and more frequently and it's getting quite annoying. Perhaps there's something I've been doing unintentionally for this to happen?   I'm using Mavericks, 10.9.5. If a variable is declared as static in a function's scope it is only initialized once and retains its value between function calls. What exactly is its lifetime? When do its constructor and destructor get called?  void foo()  {      static string plonk = "When will I die?"; } Gaussian Integers and Quotient Rings Show that $\mathbb{Z}[i]/(2+3i)$ is a finite field.    By applying some isomorphisms and realizing $\mathbb{Z}[i]$ as the quotient ring of $\mathbb{Z}[x]/(x^{2}+1)$, I found that:  $\mathbb{Z}[i]/(2+3i) \cong \mathbb{Z}[x]/(x^2+1,2+3x)$  However, I run into trouble as I can't divide $x^{2}+1$ by $2+3x$ in $\mathbb{Z}[x]$. What would be another way to approach the problem?  Thanks for the help. Getting polygon boundaries of City in JSON from Google Maps API? I'm writing a math paper in LaTeX and for math formulas I'm just using $$math formula$$. Is is possible to numerate formulas? Or do I have to you use some specific commands such as align? Using a keyboard shortcut to paste text Transformer VA Ratings, Power factor, and Pulsed current What exactly goes into a transformer's VA rating? At a fundamental level it seems that there has to be a limit to what the VA rating can represent.  For example if I draw 2 Amps-RMS from the secondary of a 30VA rated transformer at 15 Vrms this makes sense as the maximum Complex Power I can draw. Still, at a power factor of 1 my maximum current in the transformer would be sqrt(2) * 2 Amps.   But what if my power factor is abysmally low (ie in a DC rectifier) due to harmonic distortion and while I still draw 2A-RMS I have brief current spikes of 15 Amps? Surely the transformer's magnetics couldn't handle these spikes as I'd expect the core would saturate.  My question is what is the practical limit for VA ratings of transformers? Would brief current spikes that reduce to only 2A-RMS in this case be fine? Obviously the secondary/primary copper losses play a part in the rating but how do the magnetics factor in?  I ask this because I am designing a simple bench power supply using a 125VA transformer with a 24Vrms secondary and am trying to figure out how much power I can draw before the current spikes into the inductor are too much for the transformer. I also don't want to have to resort to active PFC as I don't want to risk messing up any HVAC PCB design.  Thank you Assume you are given two objects whose exact locations are unknown, but are distributed according to normal distributions with known parameters (e.g. $a \sim N(m, s)$ and $b \sim N(v, t))$. We can assume these are both bivariate normals, such that the positions are described by a distribution over $(x,y)$ coordinates (i.e. $m$ and $v$ are vectors containing the expected $(x,y)$ coordinates for $a$ and $b$ respectively). We will also assume the objects are independent.  Does anyone know if the distribution of the squared Euclidean distance between these two objects is a known parametric distribution? Or how to derive the PDF / CDF for this function analytically?