s  ~  such like this, but I want them to be combined to identify a vector. thx for help~!
121993
In LaTeX, \tilde{x} puts a ~ on top of the x. How can I put a ~ below the x?
98083
How can I make the curly braces on TikZ to label the x and y as in this picture?
46029
What LaTeX markup would one have to write to produce a result similar to the image below?    Please excuse my Paint-and-mouse drawing skills. :-)
12391
Say you have two Bounding Box Objects each of them storing the current vertices of the box in a vector with all the vertices of the object rotated and translated relative to a common axis.  Here is an image to illustrate my problem:   How can I work out if the two OBB's are overlapping any links to help explain the solution to the problem would be welcome. Nothing too convoluted please...
32271
It is given in a question that $\vec x+\vec a=(\vec a\cdot \vec x)\vec b$ and it is stated that $\vec a$, $\vec b$ and $\vec x$ are vectors.  It is also stated that $\vec a\cdot \vec b\ne 1$.  The question asks to express $\vec x$ in term $\vec a$ and $\vec b$.  How do you this?
91833
Please show how to solve? I am stack with lie bracket. Thank you.
94893
How do you write this in LaTeX:
108473
I want to reproduce the shape of the following diagram :   And the closest thing I could manage with the xy package was :  $$ \xymatrix{      &amp;B \ar[r]  &amp; H  \ar[r] &amp; B   \ar[rd]  \\     E'_{n+1} \ar[ru] \ar[r]   &amp;  &amp; E'_{n}    \ar[r] &amp;   E_n  \ar[r]  &amp;  E_{n+1} } $$   which gives    Is it possible to do so with this package?
10585
Right now I have vector3 values represented as lists. is there a way to subtract 2 of these like vector3 values, like  [2,2,2] - [1,1,1] = [1,1,1]   Should I use tuples?  If none of them defines these operands on these types, can I define it instead?  If not, should I create a new vector3 class?
36280
Specifically, with a SortedMap&lt;Vector&lt;String&gt;, int&gt; I get "dimensions expected after this (int) token." Help!
56990
The problem is as stated in the title. I've tried factorization, but it doesn't seem to yield anything. Any help is greatly appreciated. Also please don't use modular arithmetic, thank you.
100530
How do I color only the vector symbol in \vec f? I'm using beamer, so xcolor is already loaded.  Extra "points" to an answer that also explains  how to fish..and not only gives me the fish.  Thanks!
11487
i have 8000 lines similar to this   &lt;Flow flowId="1" timeFirstTxPacket="+0.0ns" timeFirstRxPacket="+924100.0ns" timeLastTxPacket="+199984927558.0ns" timeLastRxPacket="+199675473275.0ns" delaySum="+2287566662167.0ns" jitterSum="+65280162191.0ns" lastDelay="+3511349483.0ns" txBytes="161956" rxBytes="116536" txPackets="3125" rxPackets="2251" lostPackets="640" timesForwarded="0"&gt;   and what i need to do is summing rxPackets in each line together and txPackets too   i mean total sum of them in 8000 lines  thanks in advance  &lt;Flow flowId="1" timeFirstTxPacket="+0.0ns" timeFirstRxPacket="+924100.0ns" timeLastTxPacket="+199984927558.0ns" timeLastRxPacket="+199675473275.0ns" delaySum="+2287566662167.0ns" jitterSum="+65280162191.0ns" lastDelay="+3511349483.0ns" txBytes="161956" rxBytes="116536" txPackets="3125" rxPackets="2251" lostPackets="640" timesForwarded="0"&gt;  &lt;Flow flowId="2" timeFirstTxPacket="+3000000.0ns" timeFirstRxPacket="+3254190.0ns" timeLastTxPacket="+199988489445.0ns" timeLastRxPacket="+199631899307.0ns" delaySum="+12081144328484.0ns" jitterSum="+105606015634.0ns" lastDelay="+9407845452.0ns" txBytes="251896" rxBytes="124840" txPackets="4867" rxPackets="2413" lostPackets="1757" timesForwarded="0"&gt;  &lt;Flow flowId="3" timeFirstTxPacket="+4000000.0ns" timeFirstRxPacket="+4254098.0ns" timeLastTxPacket="+199971756470.0ns" timeLastRxPacket="+198959480315.0ns" delaySum="+5150205600987.0ns" jitterSum="+74009967633.0ns" lastDelay="+9862217799.0ns" txBytes="163044" rxBytes="90532" txPackets="3150" rxPackets="1751" lostPackets="1013" timesForwarded="0"&gt;
96642
What does the number 2 mean in this picture?    Thanks.   Sorry I'm not a math expert.  I need this to make a program in C to generate a trinomial triangle for a guy who asked it on StackOverflow (it is his homework). Gotta earn that reputation. You know how it is!
63468
This is a very elementary question but I can't find the answer in my book at the moment.  If I have, for example, two vectors $v_1$ and $v_2$ in $\mathbb R^5$ and knowing that they are linear independent , how can I extend this two vectors to a basis of $\mathbb R^5$. I  know that I just have to add $v_i$ for $3\leq i \leq 5$ such that they are linear independent but how can I do that? Is there an easy algorithm?
33169
I'm looking to create something like this in Tikz environment. Any tips? help?
34668
\documentclass{article} \usepackage{amsmath} \begin{document} \begin{equation*}   X_i =    \begin{cases}     \left[\begin{smallmatrix}       0 \\ 1 \\ 2     \end{smallmatrix}\right]     &amp;     \text{if $i$ is even;}     \\     \left[\begin{smallmatrix}       2 \\ 1 \\ 0     \end{smallmatrix}\right]     &amp;     \text{otherwise.}   \end{cases} \end{equation*} \end{document}   This is the LaTeX code that I wrote based on a cases environment. There's no space between the matrices on the right. What's the best way to add some vertical spaces to separate them?    p.s. This is a simplified form of my original writing, so I cannot just accept suggestions like 'use a matrix transpose to transform the column vector into a row vector.'