I have a model where i need to make a lot of holes. The kind of the problem is in all of them the same. The position and size of the hole(s) is already set by a face and they should not change. So what i need to do is to punch the face through the part of the model to a backface. Here is an simplified illustration of the problem:     Update1: I don't have a separate mesh to make holes.  Update2: I have this problem probably more than 30 times in my mesh. So doing an extrusion, deleting backface, punching hole, recreating the backfaces, making the tunnel is unpythonic. Is there a shortcut for this?
How do I make a hole in an object created by me? Please help, youtube tutorials didn't help at all. Hope the image help.
I've tried to construct examples of rings that match all except one of the properties in the definition of a Dedekind domain. (This is an old number theory qual question from Berkeleys MGSA website).  The only starting point that I can think of would be  $R:=K[X_1,X_2,\ldots]$  for $K$ a field. This is clearly integrally closed as any polynomial relation is contained in $K(X_1,\ldots,X_n)$ for some large enough $n$ and $K[X_1,\ldots,X_n]$ is integrally closed being a UFD.  The problem is then to get rid of enough ideals from this ring $R$, so that its dimension would be 1, but I can't seem to figure out what to do.  Anyone have any other ideas for rings that could work as a starting point? The polynomial ring with an infinite number of variables is pretty much the only example that I know of for how to construct a non-noetherian ring that's still a domain. Short-lived sci-fi series with a former astronaut turned superhero (or maybe a police officer?) using his spacesuit for his "powers" Plot Details/Summary I only watched an episode or two of this one, so I can't recall a whole lot about it.  The protagonist is a former astronaut of some sort, who makes it his mission to clean up the crime in his city.  He might have been a police officer in his &quot;new life&quot; or he might have decided to become a sort of quasi-superhero.  In either case, I distinctly recall his space suit being the gimmick that makes him an effective crime fighter in the show.  I seem to recall the protagonist being a young, dark-haired man, and I think he had a friendship or an alliance with a young woman (maybe a fellow cop, or someone from the space program?).  I don't think there were alien beings in the show.   The criminal threats were all quite terrestrial, IIRC. Timeframe and other Publication Details This was a syndicated tv show I saw on American television, probably around the late 90s to early 2000's.  I believe the show was filmed in Canada, though I'm not certain.  I don't think it lasted very long - it was pretty dreadful.  I can say for certain the show is not Space Cop or Gerry Anderson's Space Precinct. I just got a question in the review queue that, though poor, I thought was potentially salvageable via editing.  However when I clicked the Edit button I got the deleted post error.  Since the post was gone, I clicked I'm Done (what is there do do with a deleted post?) only to get the review audit failed message instead.  The current behavior is also problematic in that, now that I know about it, it's a risk-free way to check if a question is an audit and not an actual review. That allows me or anyone else who knows about it to detect audits without having to recognize that the question is bad. Show: $ f(a) = a,\ f(b) = b \implies \int_a^b \left[ f(x) + f^{-1}(x) \right] \, \mathrm{d}x = b^2 - a^2 $ This question relates to a discussion on . Euclid's proof of the infinitude of primes is an indirect proof (a.k.a. proof by contradiction, reductio ad absurdum, modus tollens). My understanding is that Intuitionists reject such proofs because they rely on the Law of the Excluded Middle, which they don't accept. Does there exist a direct and constructive proof of the infinitude of primes? Series prove or disprove statement Let $a_n$ be a sequence. $\lim_{n\to\infty} a_n =0 $ then the series: $\sum_{n=1}^\infty a_n, \ \sum_{n=1}^\infty (a_n+a_{n+1}) $ converge and diverge together.  It doesn't seem right, there are no convergence tests that fit this question yet every counterexample I try does not seem to work. Is this how I should see the sum? $\sum_{n=1}^\infty (a_n+a_{n+1})=2\sum_{n=1}^\infty a_n +a_{n+1}$ If so then there's no real difference between the two series since you multiply it by a constant and add just one more value. How do I restrict scaling to a specific axis? Im new to Blender but have some experience with 3dsmax. In blender, when i select some polys and try to scale them, i have no control on the amount and especially relative axis on which the scale would happen, where as with 3ds max i could scale restricted to x, y, z or any combination of using the handy widget. Is there a way to replicate this, or to get any control over the scale ?  thanks, Importing 3D DXF file into QGIS with z information as attribute value? I have a dxf file of 3d contours. after import it does have only  layer,x,y attribute and doesn't have Z attribute.  How can I provide Z attribute to create a TIN file? continuity, discontinuity derivative and relation to being derivative but its partials are not continuous is $$f(x) =\begin{cases} x^2\sin(\frac{1}{x}) \mbox{ for } x\neq 0 \\ 0  \mbox{ for } x= 0\end{cases}$$ a continuous function specially at point x=0?  And why being derivable its derivative is not continuous at x=0 since  $$f`(x) =\begin{cases} 2x\sin\frac{1}{x}-\cos\frac{1}{x} \mbox{ for } x\neq 0 \\ 0  \mbox{ for } x= 0\end{cases}$$?  I suspect this as to do with being derivable a function f $\mathbb{R}^n\rightarrow\mathbb{R}^m$ that don't imply its partial derivatives are continuous .this I don't get it so far.however partials derivatives if continuous is derivable.  Can you provide me a more general case than just one variable where f is derivable but its partials are not continuous? What is "preimage resistance", and how can the lack thereof be exploited? How is this different from collision resistance, and are there any known preimage attacks that would be considered feasible? I am getting this error:     SObject row was retrieved via SOQL without querying the requested   field: Contact.Account   Controller:  public class WrapperAccountCtrl {      public List&lt;Account&gt; acclist{get;set;}     public List&lt;Contact&gt; conlist{get;set;}      public List&lt;MyWrapper&gt; wap{get;set;}      public WrapperAccountCtrl()      {         acclist=[Select id,name from Account];          conlist=[Select id,name,AccountID  from contact where AccountID IN:acclist];          system.debug('Size----'+conlist.size());           wap=new List&lt;MyWrapper&gt;();           for(integer i=0;i&lt;acclist.size();i++)          {              wap.add(new MyWrapper(conlist,acclist[i]));          }     }      public class MyWrapper     {          public Account accn{get;set;}          public List&lt;Contact&gt;conrec{get;set;}          public MyWrapper(List&lt;Contact&gt; con,Account acc)         {             accn=acc;             conrec=con;             }     } }   VF Page:  &lt;apex:page controller="WrapperAccountCtrl" sidebar="false"&gt;       &lt;apex:form &gt;          &lt;apex:pageBlock &gt;              &lt;apex:pageBlockTable value="{!conlist}" var="c"&gt;                  &lt;apex:column value="{!c.account.Name}"/&gt;              &lt;/apex:pageBlockTable&gt;          &lt;/apex:pageBlock&gt;      &lt;/apex:form&gt;  &lt;/apex:page&gt; Incompatibility between TikZ and babel How to set a short password on Ubuntu? I'm stuck with the proof of the following:  Suppose that $(s_n)$ converges to $s$, $(t_n)$ converges to $t$, and $s_n \leq t_n \: \forall \: n$. Prove that $s \leq t$.   I've tried starting with $s_n \leq t_n \: \forall : n$ and the definitions of each limit (i.e. $|s_n - s| \leq \epsilon \: \forall \: n &gt; N_1$), but I'm not really getting very far. Any help is appreciated! Let's say I have some XML like this  &lt;channel&gt;   &lt;item&gt;     &lt;title&gt;This is title 1&lt;/title&gt;   &lt;/item&gt; &lt;/channel&gt;   The code below does what I want in that it outputs the title as a string  $xml = simplexml_load_string($xmlstring); echo $xml-&gt;channel-&gt;item-&gt;title;   Here's my problem.  The code below doesn't treat the title as a string in that context so I end up with a SimpleXML object in the array instead of a string.  $foo = array( $xml-&gt;channel-&gt;item-&gt;title );   I've been working around it like this  $foo = array( sprintf("%s",$xml-&gt;channel-&gt;item-&gt;title) );   but that seems ugly.  What's the best way to force a SimpleXML object to a string, regardless of context? What is my login username and password? zsh scripting - How do I NOT match a pattern in filename generation? What are the limitations of healing magic? While reading Sorcerer's Stone, I just finished the chapter where Harry walks in on Snape and Filch bandaging Snape's leg.  In a previous chapter Neville falls off of his broom and we see that magic can easily heal his broken wrist.  If magic can heal an injury like broken bones, why wouldn't Snape heal his leg, which was just torn up by a 3-headed dog?  My initial thought was that only certain people specialize in healing magic, but while poking around this site I came across this question:   This shows that Snape had at least some healing abilities.  So why didn't he heal his own leg?  Are there limitations that prevented Snape from healing his own wounds? Elements of order 2 in $D_{2n}$ Im new at this abstract algebra stuff and im not comfortable with the proofs techniques yet, so I have a question related to the elements of order $2$ in $D_{2n}$.  Problem:   Prove that $\{x\in D_{2n}|x^{2}=1\}$ is not a subgroup of $D_{2n}$ for $n\geq 3$.   By now, I know that all the elements of the form $sr^{k}$ has order $2$ because I tested by brute force haha, but my real question is how do I prove prove that. How do I have to proceed to prove that $sr^k$ has order 2.  Any help will be really appreciated, thanks so much &lt;3 Have there been any recent attempts to falsify the  hypothesis alternative to the Doppler shift explanation for the red shift, or is it simply ignored like the pilot wave quantum mechanical hypothesis alternative to the Copenhagen hypothesis of quantum mechanics has been? What new evidence would it take to get the tired light hypothesis for the red shift reexamined as the recent fluid dynamics oil drop experiments have done for the pilot wave hypothesis of quantum mechanics?