I'm a beginner with blender and not sure why my corners are rounding off? I would like them to create a square face, I've added reference images below. Thanks in advance :)
How can I use the subdivision surface modifier to create more high poly meshes without ruining sharp edges? For example this mesh  The sphere should be subdivided but the rim of the cylinder should stay the same because it is a sharp edge. This is the result of the subdevision  How can I get sharp edges to not be affected by the sub surf mod?
Ideal of the twisted cubic The twisted cubic is the image of the morphism $\phi : \mathbb{P}^1 \to \mathbb{P}^3 , (x:y) \mapsto (x^3:x^2 y:x y^2:y^3)$, it is given by $X = V(ad-bc,b^2-ac,c^2-bd)$. Now I would like to compute $I(X)$, which equals by the Nullstellensatz the radical of the ideal $I := (ad-bc,b^2-ac,c^2-bd) \subseteq k[a,b,c,d]$. I think that that $I$ is already a radical ideal, even a prime ideal. Namely, I suspect that  $$\phi^* : Q:=k[a,b,c,d]/I \to k[s,t] , a \mapsto s^3, b \mapsto s^2 t , c \mapsto s t^2 , d \mapsto t^3$$ is an injection. If this is true: How can we prove that? I've already tried to find a $k$-basis of the quotient, but this turned out to be a big mess. Even the representation of the quotient as a monoid algebra doesn't seem to help. Another idea is the following: A formal manipulation of generators and relations implies $Q_a \cong k[a,b]_a$. Thus it suffices to prove that $Q \to Q_a$ is injective, i.e. that $a$ is not a zero divisor. Find the maximum value of the expression ${\frac {x}{1+x^2}} + {\frac {y}{1+y^2}}+{\frac {z}{1+z^2}}$. Find the maximum value of the expression :   $${\frac {x}{1+x^2}} + {\frac {y}{1+y^2}}+{\frac {z}{1+z^2}}$$   where $x,y,z$ are real numbers satisfying the condition that $x+y+z=1$.   Taking $x=y=z=\frac {1}{3}$, I get the expression as $\frac {3x}{1+x^2}$, which is equal to $\frac {1}{1+{\frac{1}{9}}}$ or $\frac {9}{10}$.  How can I actually solve the problem without making unnecessary assumptions ? I want to talk to someone about the house that my wife and I own.  Saying, for example, "My wife's and my house is awesome," sounds a bit funny to me.  What's the best way to express this?  Clarification  I'm asking specifically about the grammar of multiple nouns in possessive form.  I'm particularly curious if it's possible to do this with a first-person pronoun (me).  I am capable of rephrasing this in other ways - my question is not how to express the idea, but about this particular grammatical construction, if it is even legal. What exactly is a kilogram-meter? Creating controls within a Loop I have have some code which adds new cells to a table and fills them with text boxes.   The way I've coded it so far works fine:          TableCell tCell1 = new TableCell();         TableCell tCell2 = new TableCell();         TableCell tCell3 = new TableCell();         TableCell tCell4 = new TableCell();         TableCell tCell5 = new TableCell();         TableCell tCell6 = new TableCell();         TableCell tCell7 = new TableCell();          TextBox txt1 = new TextBox();         TextBox txt2 = new TextBox();         TextBox txt3 = new TextBox();         TextBox txt4 = new TextBox();         TextBox txt5 = new TextBox();         TextBox txt6 = new TextBox();         TextBox txt7 = new TextBox();          tCell1.Controls.Add(txt1);         tCell2.Controls.Add(txt2);         tCell3.Controls.Add(txt3);         tCell4.Controls.Add(txt4);         tCell5.Controls.Add(txt5);         tCell6.Controls.Add(txt6);         tCell7.Controls.Add(txt7);          tRow.Cells.Add(tCell1);         tRow.Cells.Add(tCell2);         tRow.Cells.Add(tCell3);         tRow.Cells.Add(tCell4);         tRow.Cells.Add(tCell5);         tRow.Cells.Add(tCell6);         tRow.Cells.Add(tCell7);   As you can see there's basically 4 instructions getting repeated 7 times. I'm sure there has to be a way to accomplish this with just 4 lines of code within a FOR loop and having all the names dynamically assigned but I just can't seem to find anything that would point me in the direction of how to do it.  Something like the following is what I'm after:      for (int i = 0; i &lt; 6; i++)     {          TableCell tCell[i] = new TableCell();         TextBox txt[i] = new TextBox();         tCell[i].Controls.Add(txt[i]);         tRow.Cells.Add(tCell[i]);      }    Any help would be much appreciated. Reference style links validating as improperly formatted code How to test for an hold item name in Minecraft? I'm trying to make a command block that spawns an item in front of you if you are holding an item with a specific name. I've got these two working scripts;  /testfor @p[r=10] {Inventory:[{tag:{display:{Name:"Item Name"}}}]}  /testfor @p[r=10] {SelectedItemSlot:0,Inventory:[{Slot:0b,­id:"minecraft:diamond_sword"}]­}   but I can't get them together. The block should only look for an item in the active slot. In the Avengers movie, why is Loki sweating and weak when he first arrives on Earth, in the SHIELD base? Find the area ratio between ABC and the hatched triangle. Could you help me?  Find the area ratio between ABC and the hatched triangle.    Thanks in advance. Java Thread priority has no effect Usage of "shall we?" What does it mean and where would I use it? When does the set enter set theory? I am trying to run Notepad as admin so I can edit my hosts file from the command line.  I have tried runas /user:(myusername)\administrator "notepad c:\windows\system32\drivers\etc\hosts" I then input my password and I get     RUNAS ERROR: Unable to run - notepad   c:\windows\system32\drivers\etc\hosts 1327: Account restrictions are   preventing this user from signing in. For example: blank pa sswords   aren't allowed, sign-in times are limited, or a policy restriction has   been enforc ed.   PS: I know if I give permission to my user account I can edit it without running as admin. But I'd like to know how to do this without having to change permissions on the hosts file. Why does HMAC use two different keys? Suppose $H$ is a hash function; why is $$H(k\mathbin\|H(k\mathbin\|m))$$ not secure?  See this . In there, indeed two keys are used and the mac algorithm is $$H(k_1\mathbin\|H(k_2\mathbin\|m)).$$ Why don't we use $$H(k\mathbin\|H(k\mathbin\|m)),$$ which has only one key? Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$ Could any one give an example of a bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$?  Thank you. Any way to have CPU temperature in the menu bar? I tried  and  but it does not update the temperature and I do not wish to change the fan speed. Good review audit has "possible spam" warning? I was looking through someone's edit history and I was looking at :    Why does it give this notice, while at the same time saying that it's a high-quality post? Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$ I have a problem analysing this sentence from the point of finite/nonfinite clauses, clause elements and their functions:     He does not want to destroy his parents' dream of him achieving a Cambridge degree.   I am especially interested in the: dream of him achieving a Cambridge degree.  I know that 'achieving a Cambridge degree' is a non-finite -ing participle clause. However what is its function? And what is the function of 'of him'? Is it a postmodification? Consider a partial function $f$ that is defined only for a few values of its domain (my exact use case is $\delta$ transition functions in automata). One can 'complete' it by saying $$g(x)=0\iff f(x) \text{ is not defined.}$$  Is there a symbol to mean "undefined"? Would it be correct, or accurate, to write $\nexists f(x)$?