Started about 2 weeks ago with 3D modeling and just finished creating this spartan styled helmet for my characters in Unity. When imported and looking at the face of the helmet, you can see the sky from the backside of the helmet, making the helmet look like it has a hole on the backside. I took pictures of both to show there is no hole on the backside and to show the sky coming through the mask. If any additional information is needed to help answer the question, let me know.
I have created a model which requires some faces to be dual sided.  I intend to import this model into Unity. Reading about this, it seems that the recommendation is to duplicate the polygons and then flip the normals.  What I have done so far is simply to duplicate the all of the relevant faces using Shift+D and then flip the normals. I don't like this method though as it hampers any future alterations to the model itself.  What is the best way of doing this?
How to remove Windows 10 from Windows Boot Manager after uninstalling it? I installed Windows 7 on one partition and formatted the other where I had Windows 10 installed leaving only that one Windows 7 OS on my drive, but I still have two OSs offered in Windows Boot Manager. What is even weirder is that their names are reversed, when I choose Windows 10, it's Windows 7 that gets loaded. docky crashes from time to time for me. How can I make it restart automatically after it crashed? Find probability using distribution function method Let $X_1$ and $X_2$ be two independent random variables with distribution $U(0,1)$. Let $Y=|X_1-X_2|$. Find the distribution function and density of $Y$.   Solution:  f(x1)=1 whenever x1 between 0 and 1          =0 Else where f(x2)=1 whenever x2 between 0 and 1          =0 Else where f(x1,x2)=1 whenever x1,x2 between 0 and 1           =0 Else where G(y)= P[-y &lt;= x1-x2 &lt;= y]       =\int_{-y}^y \int_{x1_y}^{y+x1} 1 dx2 dx1       =\int_{-y}^y -2y dx1       =4y^2 when y between 0 and 1       =0 when y less than 0       =1 when y greater than 1 Thus, g(y)= \diff G(y) =8y  Is it correct? Suggestions for a batch audio converter? Any suggestions for a good, free audio converter for Mac?  I used to use Max.app but it has long become abandonware and is now super buggy and crashy. I just need something I drop a couple (or 20 thousand) Apple Lossless files into and let it crank away making me some AAC compressed files or some MP3 or whatever. Why does shell Command Substitution gobble up a trailing newline char? As per the following example, and as in  In bash, where has the trailing newline char gone?, I want to know "why" it happens    x="$(echo -ne "a\nb\n")" ; echo -n "$x" | xxd -p  # Output is: 610a62  # The trailing newline from the 'echo' command #   has been "deleted" by Command Substitution   I assume there must be some very significant reason for a shell action, namely Command Substitution, to actually delete some data from the command output it is substituting... but I can't get my head around this one, as it seems to be the antithesis of what it is supposed to do.. ie. to pass the output of a command back into the script process... Holding back one character seems weird to me, but I suppose there is a sensible reason for it...  I'm keen to find out what that reason is... Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$ I'm using a class I've derived from DocumentPaginator (see below) to print simple (text only) reports from a WPF application. I've got it so that everything prints correctly, But how do I get it to do a print preview before printing? I have a feeling I need to use a DocumentViewer but I can't figure out how.  Here's my Paginator Class:  public class RowPaginator : DocumentPaginator {     private int rows;     private Size pageSize;     private int rowsPerPage;      public RowPaginator(int rows)     {         this.rows = rows;     }      public override DocumentPage GetPage(int pageNumber)     {         int currentRow = rowsPerPage * pageNumber;         int rowsToPrint = Math.Min(rowsPerPage, rows - (rowsPerPage * pageNumber - 1));         var page = new PageElementRenderer(pageNumber + 1, PageCount, currentRow, rowsToPrint)                        {                            Width = PageSize.Width,                            Height = PageSize.Height                        };         page.Measure(PageSize);         page.Arrange(new Rect(new Point(0, 0), PageSize));         return new DocumentPage(page);     }      public override bool IsPageCountValid { get { return true; } }      public override int PageCount { get { return (int)Math.Ceiling(this.rows / (double)this.rowsPerPage); } }      public override Size PageSize     {         get { return this.pageSize; }         set         {             this.pageSize = value;             this.rowsPerPage = PageElementRenderer.RowsPerPage(this.pageSize.Height);             if (rowsPerPage &lt;= 0)                 throw new InvalidOperationException("Page can't fit any rows!");         }     }      public override IDocumentPaginatorSource Source { get { return null; } } }   The PageElementRenderer is just a simple UserControl that displays the data (at the moment just a list of rows).  Here's how I use my Row Paginator  PrintDialog dialog = new PrintDialog(); if (dialog.ShowDialog() == true) {     var paginator = new RowPaginator(rowsToPrint) { PageSize = new Size(dialog.PrintableAreaWidth, dialog.PrintableAreaHeight) };      dialog.PrintDocument(paginator, "Rows Document"); }   Sorry for the code dump, but I didn't want to miss something relevant. Is there any pair of 128-bit strings M and K such that AES$_K$(M) = M?  If yes, how do I go about (efficiently) finding such a pair? Class not found loading JDBC org.postgresql.Driver How can I repeat the header but not the caption with longtable? I am trying to set up a longtable where the header is repeated on every new page but the caption only appears once at the top of the page.  The table is defined as follows:  \begin{longtable}{|l|l|l|} \caption{the table caption} \label{tab:11swpkg}\\ \hline \rowcolor{gray} HeaderCol1 &amp; HeaderCol2 &amp; HeaderCol3\endhead     \hline\hline Item11 &amp; Item12 &amp; Item13 \\ \hline Item21 &amp; Item22 &amp; Item23 \\ \hline Item31 &amp; Item32 &amp; Item33 \\ \hline \end{longtable}   This nearly works because the header is indeed repeated after a page break but so is the caption. How can I get rid of the caption after a page break? Many to Many and Weak Entities I have an entity that cannot exist without being defined by another, and I want this entity to participate in a many-to-many relationship.  Example: An artist has an album (the album cannot exist without an artist), the album also has many tracks, but the same track can exist in many albums.  So we have a many-to-many relationship between the album and the tracks.  If the album is a weak entity, then its primary key is a foreign key referencing the artist, thus it cannot be a foreign key to another table representing a many-to-many relationship.  The question is: is it possible to have this kind of relationship in SQL, and if so, how do I express it? Sort a set of multidimensional arrays by array elements My pixel perfect picture gets blurry when compiled in LaTeX I have this picture:  (I have the original in Pixen and could export it to several different formats. I went with PNG though since it's lossless.)  When I open my picture in Preview (OS X) and zoom in, it looks fine. The characters have extremely sharp boarders between them and the background. However, when I put it into my LaTeX document, compile it to a PDF (using TeXShop) and then zoom in, it suddenly have gotten blurry (see screenshot: ).  Minimal working example:  \documentclass[12pt]{article} \usepackage{graphicx} \begin{document} \includegraphics[scale=1]{fig1.png} \end{document}   In the end, I would like to be able to scale the picture freely without there being any blurring at all. I've been informed by those who know much more about Harry Potter than I that Hogwarts is protected with a Disillusionment Charm so all muggles will see is ruins with a "Danger: Keep out!" sign around them.  (Apparently this was in one of the first three books, but I'm not sure where it was.)  My first thought was, "Well, a danger sign would encourage some muggles to investigate!"  Which leads to what I think is an obvious question: Will a disillusionment charm on a place like that still work when a person is real close to the location?  Will it work from inside the location?  For example, if a curious muggle made it to the gates of Hogwarts and started walking around inside, would they still see it as abandon and in ruins, or once they entered, would they see it as it is? Near the end in amongst the battle, Kylo Ren lands next to his ship that Rey stole. I understand that at a stretch (or through the will of the Force) Kylo found a TIE Fighter in the wreck he was in, but to my understanding those TIEs would not have had hyperdrives, so how did he travel that far without a carrier ship? I suppose I'm guessing/assuming that he travelled on his own (Solo if you will), and not with his Star Destroyer, as the Knights who travelled with him on his Star Destroyer were already at the destination. But if the Force willed him to find the TIE Fighter, why not a shuttle with a hyperdrive? It would be iconic enough to use in the film, surely.  How did Kylo Ren travel to another system in a civil war era TIE Fighter with no hyperdrive or carrier ship? Where to locate "sockets" I am new to this, so sorry if its obvious. I am running a Debian server and installing the likes of UWSGI, NGinx etc on there. The configurations keep talking about pointing to "sockets".  In the build options I seem to be able to specify where the sockets for each program go. By default it looks like most of them go in /tmp (not all of them).  Is this a good place for them to go? I'm trying to keep things as organized as possible but just bunging them in /tmp doesn't seem like the best option. How do I prove that $f(x)f(y)=f(x+y)$ implies that $f(x)=e^{cx}$, assuming f is continuous and not zero? This is part of a homework assignment for a real analysis course taught out of "Baby Rudin."  Just looking for a push in the right direction, not a full-blown solution.  We are to suppose that $f(x)f(y)=f(x+y)$ for all real x and y, and that f is continuous and not zero.  The first part of this question let me assume differentiability as well, and I was able to compose it with the natural log and take the derivative to prove that $f(x)=e^{cx}$ where c is a real constant.  I'm having a little more trouble only assuming continuity; I'm currently trying to prove that f is differentiable at zero, and hence all real numbers.  Is this an approach worth taking? Adding Grids in Project Manager of QGIS I am using QGIS 3.12. I am new to QGIS after having worked with ArcGIS Desktop for a while. I am having issues with adding a grid to my project. I am using CRS ESPG:3587 WGS 84 / Pseudo-Mercator and noticed that the grid is showing the wrong coordinates and have included the parameters I have set for the grids. What is the limit of TypeError: Element-wise multiplication: not supported between 'Matrix' and 'Vector'