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Possibility of making dark energy equivalent with dark matter Changing top, bottom, left & right margins on the fly I’m trying to find a way of being able to modify all of the margins of a page whenever I want to and as many times as I want to on a single page in order to be able to put text very easily where I want on a page.   I have thought of using the geometry package and using   \newgeometry{left=6.75cm, right=1cm, top=1cm, bottom=1cm}  %…  \restoregeometry   but unfortunately this only works for whole pages, so I can only change the margins once per page (and then they are valid for the whole page without having the possibility of changing them again).   I found the following script on the internet which enables users to change margins on the fly, just as I want to. The code below works fine and enables me to change the left and right margins of my page as many times as I want to, but unfortunately, it doesn’t give me the option of changing the top and bottom margins.  % placed before \begin{document}  \newenvironment{changemargin}[2]{% \begin{list}{}{% \setlength{\leftmargin}{#1}% \setlength{\rightmargin}{#2}% }% \item[]} {\end{list}}  % And then inside the document, whenever I want to use % the command to change the margins on the current page  \begin{changemargin}{1.9875cm}{-3.7625cm} % this means the left margin increases by 1.9875cm compared % to the default left margin (4.7625cm) (so left margin=6.75cm here) % and the right margin decreases by 3.7625cm (so right margin=1cm)  % ... (text or pictures in new environment)  \end{changemargin}   For this reason, I tried to adapt the code above and came up with the code below:  % placed before \begin{document} \newenvironment{changemargin}[3]{% \begin{list}{}{% \setlength{\leftmargin}{#1}% \setlength{\rightmargin}{#2}% \setlength{\topmargin}{#3}% }% \item[]} {\end{list}}  % And then to use the command: \begin{changemargin}{1.9875cm}{-3.7625cm}{1cm} % ... \end{changemargin}   It compiles and still changes the left and right margins but the top margin remains unchanged. (I haven’t yet tried to change the bottom margin).  Can anyone help me get this code to work completely, and enable me to modify the left, right, top and bottom margins of a page? Thanks. ii) Show that $u$ is not a real part of the function which analytic on $\mathbb{C} \backslash \lbrace 0 \rbrace$ Suppose $u(x,y)=\ln(x^2+y^2)$  i) Show that $u$ is harmonic on $\mathbb{C} \backslash \lbrace 0 \rbrace$  ii) Show that $u$ is not the real part of a function which analytic on  $\mathbb{C} \backslash \lbrace 0 \rbrace$  I manage to show the first part. For the second part, note that $u(x,y)=\ln(x^2+y^2)=\ln(|z|^2)=2 \Re \log(z)$  But this only show that $u$ is not a real part of $\log(z)$. I don know how to show $u$ cannot be the real part of a function which analytic on $\mathbb{C} \backslash \lbrace 0 \rbrace$  Can anyone guide me? I have configured my MySQL Database to require passwords on all users, even root from the machine itself.  Now I discovered that there are empty Users in my Database  Reproduce: mysql -u root -p and then use mysql; &amp; select * from user;  It gives me 2 entries, one with "localhost" and user &lt;empty&gt; and one with the machine's hostname and &lt;empty&gt;.  Now I tried to access the account with mysql -u ' ' (yes it's correct, leave a space between the ' things) and I log in without a password. The user can "only" see information_schema and test, the two databases created by default. He does not has access to mysql or any other custom created databases.  I already changed the Password of this user to something I won't tell you  mysql -u root -p use mysql; UPDATE mysql.user SET Password=PASSWORD('thisisasecretpassword') WHERE USER='root'; FLUSH PRIVILEGES;   Now my Questions:   Is any MySQL Server vulnerable for an attack with this entry? Could an attacker break out of this account or the two default databases? Should I password-protect those Users or can I delete them? Are They required for some MySQL-internal things? Why is "high" pronounced "hiy" but is not spelled that way? Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable. Using customized Coordinate System in ArcGIS Desktop? I don't know so much about coordinate systems...  In my office we use to deal with spatial data coming from archaeological sites. Each site has its own x-y-z coordinate system (GCS). Three simple ortogonal cartesian axis. In the last years we have been managing this spatial data through GIS software (ArcGIS), without using specific coordinate system (just leave it as "undefined")  I'd like to know if there exisits any GCS designed to deal with such datasets using simple cartesian orthogonal axis, without grid distortions of the typical GCS. In addition, I'd like to know if this system is suitable for using it in an online mapping application.  By the way, we manage 2D (ArcMap) and 3D (ArcScene) environments and work with "mm" as length base unit.   If such a thing doesn't exists, maybe someone knows how to create it. Prove that if b is coprime to 6 then $b^2 \equiv 1 $ (mod 24) Let $\gcd(b,6) = 1$. Prove that $b^2 \equiv 1 $ (mod 24).  Now I have that as $\gcd(b,6) = 1$, we know that  $3\nmid b $ and $2\nmid b$ (else the GCD would be 3 or 2 resp.)  So as $2\nmid b$, $b$ must be odd. Hence $b^2$ is also odd.  Then I'm not sure where to take it from here? Maybe I've gone down the wrong path to start with, and should be looking more along the lines of the Chinese Remainder Theorem? I'm not sure. On duplicate questions, I often see different headings for the duplicate question list. These include:     Possible Duplicate:    [duplicate question list]   and      This question already has an answer here:    [duplicate question list]   and more recently,     This question is an exact duplicate of:    [duplicate question list]   What decides which heading is placed before the duplicate question list? How to resolve a Java Rounding Double issue Short expression to convey "but consider the source" I was reading the following article by Mathew Might.  I saw the following the paragraph  What doesn't matter GPA? I don't care if it's 2.0 or 4.0. I won't even look at it. The school you went to? I'll judge you the same whether you went to Nowhere State U or a top-ten school. Transcripts? Never seen one. GREs? Irrelevant. Where you work/worked? Unless it's a research lab, it's not important. I don't think these items have much predictive capacity as to whether or not someone can complete a Ph.D.  Is Mathew Might telling the truth? For me it's very hard believe that GPA, GRE scores and undergraduate school don't matter. I used to think that they play an extremely important role in grad school admission. Why did Bane/Smith cut himself? In the Matrix part II and the beginning of part III the crew member who was infected by Agent Smith (Bane) cuts himself.   The female crew member in part III who brought Trinity food told her the same and speculated that they might be "VDT's".  I don't fully understand this. What are VDT's and why would Agent Smith engage in self-cutting unless he has borderline personality disorder or depression or something? "At" vs. "in" before verb In a document I found the following sentence:     listeners are more accurate at understanding speech spoken in their own accent...   Would it be an error to use "in" instead of "at"?  Actually in this case "at" sounds better than "in", but in general before verb is "at" always used? Is it correct to use the word "birthday" for the deceased, or is there a better alternative? How does one refer to the birthdate of someone who is no more, we usually say  Today is my uncle's 80th birth anniversary (Common in Indian English, not sure if it's correct)  or  Today would have been my uncle's 80th birthday   Is it right to say  "Today is my uncle's 80th birthday" for an uncle who is dead? Is it required for panel data to use dummy variables? I am doing research considering seven countries and I have panel data. My question is: do I need to include dummy variables every time I use panel data in regression, or is enough to do it as a fixed effect in Stata, without dummy variables? General theorems for consistency and asymptotic normality of maximum likelihood I'm interested in a good reference for results concerning asymptotic properties of maximum likelihood estimators. Consider a model $\{f_n(\cdot \mid \theta): \theta \in \Theta, n \in \mathbb N\}$ where $f_n(\mathbf x \mid \theta)$ is an $n$-dimensional density, and $\hat \theta_n$ is the MLE based on a sample $X_1, \ldots, X_n$ from $f_n(\cdot \mid \theta_0)$ where $\theta_0$ is the "true" value of $\theta$. There are two irregularities I'm interested in.    The data $X_1, \ldots, X_n$ are not iid and, as a result, the Fisher information about $\theta$ accrues at a rate slower than $n$.  $\Theta$ is a bounded set, and with positive probability $\hat \theta_n$ lies on the boundary. The boundary corresponds to a "simpler" model, and so there is particular interest in whether or not $\theta_0$ lies on the boundary.    My particular questions are   Letting $J_n(\theta)$ denote the observed Fisher information corresponding to $\theta$, and suppose $\theta_0$ lies in the interior of $\Theta$. Under what conditions is $$\left[J_n(\hat \theta_n)\right]^{1/2}(\hat \theta_n - \theta_0)$$ asymptotically normal as $n \to \infty$? In particular, are the regularity conditions similar to the usual ones, with the relevant modification being $J_n(\hat \theta_n) \to \infty$ in some sense? Suppose instead that $\theta_0$ is on the boundary, and again recall that $\hat \theta_n = \theta_0$ happens with positive probability - for concreteness, in a mixed effects model $Y_{ij} = \mu + \beta_i + \epsilon_{ij}$ we can have $\hat \sigma_{\beta}^2 = 0$. Under what conditions does $\hat \theta_n \to \theta_0$ (almost surely or in probability) and under what conditions will $\hat \theta_n = \theta_0$ eventually (this probably fails for the mixed effects model, but corresponds to "oracle" properties for the LASSO and related estimators, so perhaps it is too much to ask for general results)?   Again, just a pointer to a text with results at this level of generality would be greatly appreciated. Azimuth and Distance, NumericalDigitize, Numerical Vertex Edit, XY tools and other plugins are not on QGIS Plugin Manager version 2.0.1 Will these plugins no longer be available in QGIS 2.0.1? How to obtain Hamiltonian formalism and phase space for Lagrangian with second-derivatives? How to plot points in a color corresponding to some value?