food poisoning in 24 hours from prep
How long can I store a food in the pantry, refrigerator, or freezer?
How to exclude files from Visual Studio compile? I'm in the process of refactoring a project.  I've got an entire subfolder which is known to be broken.  Is there any declarative way to exclude that folder from the compile temporarily while I test the refactoring thus far?  I realize I could delete the folder, but I'd like to do this through configuration if possible. How can you get the permalink for an answer to a question? I wanted to link to an answer to a Stack Overflow question, but couldn't find a way to do it. I couldn't get the ID of the answer in order to create the link.  How can you get the permalink for an answer to a question? I am working on setting up a Minecraft server on a machine I have at home. This particular machine has two quad-core CPUs running at 2.0Ghz so I would like to take advantage of the number of cores and run a server with 4 or 6 of the cores. My server of choice is CraftBukkit, the latest version of which is craftbukkit-1.4.7-R1.0 and launched with a start-up script of:  "C:\Program Files\Java\jre7\bin\java.exe" -Xms1G -Xmx8G -jar craftbukkit-1.4.7-R1.0.jar"   The  says:     Minecraft servers, as of 1.1.0, can use multiple cores, so now they will not sit idle.   but does not really expand on this.  My questions, then:   Is it possible to set the number of cores the server uses? How do I do it - via start-up options, or other methods? Is it really worth it and would it make that much of a difference with a lot of players? Can my friend and I play minecraft together with different mods? I'm wondering if I could play Minecraft with my friend. A modded Minecraft, only myself with mods and him without mods.  Is it possible? Prove $\sum_{i=1}^n i! \cdot i = (n+1)! - 1$? Prove the summation:  $$\sum_{i=1}^n i! \cdot i = (n+1)! - 1$$ using induction.   base case:  $n=1$: \begin{align*} \sum_{i=1}^1 i! \cdot i &amp;= (1+1)! - 1 \\ 1 &amp;= 2 - 1 \\ 1 &amp;= 1 \end{align*}   This is a question from my test review packet, currently have the base case completed and I am a bit lost on where to go from there. Any help/hints are appreciated. So i have this $3\times 3$ matrix  $$     \begin{pmatrix}     -2 &amp; 0 &amp; 0 \\     3 &amp; 1 &amp; -6 \\     0 &amp; 0 &amp; -2 \\     \end{pmatrix} $$  I want to check if the matrix is diagonizable. First thing i do is find the roots : namely $\lambda_1 = −2$ of multiplicity $2,$ and $\lambda_2 = 1$ of multiplicity $1.$  In order to ensure that the matrix is diagonalizable we need to find a basis of $\mathbb{R}^3$ whose elements are eigenvectors for $A.$ In particular, since we have the eigenvalue $\lambda_1=-2$ having multiplicity $2$ we need to check that the dimension of the eigenspace $E(\lambda_1)$ is equal to $2.$ We compute the eigenspaces of $A.$  $\DeclareMathOperator\Nul{Nul}$On the answer sheet is says that we need to find $\Nul(A+2Id)$... but why $2Id?$ Isn't is supposed to be $-2,$ so $\Nul(-2Id-A)$??   I do not understand this $\Nul(A+2Id).$ I always thought that we should compute $\Nul(-2Id-A),$ so what do i need to do ?   $\Nul(-2Id-A)$ gives me a different result from $\Nul(A+2Id).$  Does that mean that since $-2$ has a multiplicity of $2,$ we need to work with $2$ and not $-2$?  Somebody please help with a clear and simple explanation ! Thanks! How to use siunitx with non numerical values? I understand that something like \SI{5}{\meter\per\second} defines a certain space between the number (5) and units (m/s). What should I use if instead of a numerical quantity I want a variable: R m/s? \SI{R}{\meter\per\second} fails because it expect a number in first parameter, and R \si{\meter\per\second} or $R$ \si{\meter\per\second} show different space.  Which is the correct use?  \documentclass{standalone} \usepackage{siunitx} \sisetup{per-mode=symbol} \begin{document} \begin{tabular}{r} \SI{5}{\meter\per\second}\\ $R$ \si{\meter\per\second}\\ R \si{\meter\per\second}\\ \end{tabular} \end{document} Are users' reputation scores on the home page supposed to stand out that much now? It seems a couple minutes ago, a change was applied to the styling of the homepage, with users' rep scores now being much darker (and standing out more):        Compare with the former light grey colouring (image courtesy of ):        Is this intentional? If so, why? It highlights something that's not really relevant, in my opinion. Gradient of $a^T X b$ with respect to $X$ How can I find the gradient of the term $a^TXb$ where $X$ is a $n \times m$ matrix, and $a$ and $b$ are column vectors.  Since the gradient is with respect to a matrix, it should be a matrix.  But I do not have a clue on how to derive this gradient.   Any help ? I've created a new user by using "User Accounts" in "System Settings". How do I grant rights so that this new user can have the same level of access as root? How can I override the OnBeforeUnload dialog and replace it with my own? Determinant of a specially structured matrix ($a$'s on the diagonal, all other entries equal to $b$) 9 rows is just way too small by default. Is this a text-editor for ants? Extended Euclidean algorithm I have programmed the extended euclidean algorithm. Is this a good approach?  def ext_ggT(a, b):     x,y, u,v = 0,1, 1,0     while a != 0:         q, r = b//a, b%a         m, n = x-u*q, y-v*q         b,a, x,y, u,v = a,r, u,v, m,n     gcd = b     return gcd, x, y Do the beacon lighters really live on top of the mountains? Following this image I found online:    Do the beacon lighters really live on top of the mountains?  It seems really cold on top of some of these mountains and there are no villages or whatsoever. I want to describe my business and want to refer to it in a sentence.  I am trying to say:      "In 2015 we established a business (that is) named X".   Intuitively, the "that is" part is redundant, and makes the sentence more cumbersome. But I cannot think of a reason why we should be able to drop the verb.  Is the version without the "that is" part grammatically correct? How can it be explained? I am getting error:     The argument 2 of the "JSON_VALUE or JSON_QUERY" must be a string literal   ...while trying to pass variable as parameter to JSON_QUERY function. Please help me to resolve it.  DECLARE @cnt INT = 1; DECLARE @cnt_total INT = 1; DECLARE @json NVARCHAR(MAX); DECLARE @json1 NVARCHAR(MAX); declare @str  VARCHAR(200);  WHILE @cnt &lt;= 10 BEGIN     set @str = '$.Seasons[0].Products['+convert(varchar,@cnt)+'].ProductChannels';     set @str = char(39) +@str+ char(39);     PRINT @STR     select @json = json_query(jfile,@STR) from Import.tstjson; --MORE CODE         SET @cnt = @cnt + 1; END   Sample data:  {   "Seasons": [     {       "Season": "12321231",       "Products": [         {           "ProductId": "211",           "ProductChannels": [             {               "ChannelId": 1,               "WeekQuantities": []             }           ],           "ccc": 3,           "Tttt": 4         }       ]     }   ] } Proving a basis for inner product space V when $||e_j-v_j||< \frac{1}{\sqrt{n}}$. Suppose $(e_1,e_2,...,e_n)$ is an orthonormal basis of the inner product space $V$ and $v_1,v_2,...,v_n$ are vectors of $V$ such that $$||e_j-v_j||&lt; \frac{1}{\sqrt{n}}$$ for each $j \in \left\{1,2,...,n \right \}$. Prove that $(v_1,v_2,...,v_n)$ is a basis of $V$.  I am completely lost and just starting to learn about inner product spaces. Could someone provide a proof with the explanation of how you got there? Why is $\frac{1}{2\pi i}\int_{\gamma}\frac{f'(z)}{f(z)}dz$ an integer? Let $f$ be holomorphic in an open $\Omega \subset \mathbb{C}$ and $\gamma$ a closed curve in $\text{int}(\Omega)$, along which $f$ is never zero.   Are these hypotheses enough to claim $\frac{1}{2\pi i}\int_{\gamma}\frac{f'(z)}{f(z)}dz$ is an integer? If not, what are the necessary and sufficient conditions for that?  I can prove that's an integer for some particular cases, for example when $\Omega$ is convex and  $\gamma$ is a circle. But I've seen people claming this in many other contexts, like when $\Omega$ is an annulus around $0$ and $\gamma $ is an arbitrary curve inside it. This isn't obvious to me at all.  Thanks! Is there a word to describe words that can be spelled different ways? Is there a word in English to describe words that can be spelled more than one way?  For example:   colour and color favourite and favorite   However, this shouldn't be limited to words spelled differently in different dialects, though I'm not sure what other case there would be.