I am switching to a Ubuntu-like OS (from Windows8) and I have been reading around about its derivates. I decided to choose between Lubuntu (for its idea of energy saving and lightweight) and the standard Ubuntu, so here is my question: is it really appreciable the difference of performance on a HP, Intel i7-4500 with 8Gb RAM (and Nvidia video card)?  Thank You!
I've heard that Lubuntu consumes less resources than Ubuntu. Is it because of the fact that Lubuntu uses different desktop environment and window manager?  If so, would it be equivalent to install lubuntu-desktop on top of Ubuntu rather than doing a fresh install?
Topologist's sine curve is not path-connected Prove $a^\alpha b^{1-\alpha} \le \alpha a + (1 - \alpha)b, \; a,b > 0,\; 0 < \alpha < 1$ I have no idea how to do this. Any help would be appreciated. The chapter I'm on is about differentiation and the mean value theorem.  Prove $a^\alpha b^{1-\alpha} \le \alpha a + (1 - \alpha)b, \; a,b &gt; 0,\; 0 &lt; \alpha &lt; 1$ Word for person always after what he does not have and not cherishing what he has Possible Duplicate:          Is there a word for a person who is always after what he does not have and does not cherish what he has? If not, any idiom or phrase? Quotient ring of Gaussian integers A very basic ring theory question, which I am not able to solve. How does one show that    $\mathbb{Z}[i]/(3-i) \cong \mathbb{Z}/10\mathbb{Z}$. Extending the result: $\mathbb{Z}[i]/(a-ib) \cong \mathbb{Z}/(a^{2}+b^{2})\mathbb{Z}$, if $a,b$ are relatively prime.   My attempt was to define a map, $\varphi:\mathbb{Z}[i] \to \mathbb{Z}/10\mathbb{Z}$ and show that the kernel is the ideal generated by $\langle{3-i\rangle}$. But I couldn't think of such a map. Anyhow, any ideas would be helpful. Deriving the Coulomb force equation from the idea of photon exchange? Since Newton's law of gravitation can be gotten out of Einstein's field equatons as an approximation, I was wondering whether the same applies for the electromagnetic force being the exchange of photons. Is there an equation governing the force from the exchange of photons? Are there any links which would show how the Coulomb force comes out of the equations for photon exchange? I know that my question is somewhat similar to the one posted here , but it doesn't really have an answer to my question specifically. How do I straighten UV maps? Let $A \in \mathbb{R}^{p \times p}$ and $B \in \mathbb{R}^{q \times q}$ be nonsymmetric positive definite matrices in the sense that $v^T A v &gt; 0, \forall v \in \mathbb{R}^p$ and $v^T B v &gt; 0, \forall v \in \mathbb{R}^q$.  I know that $A \oplus B$, i.e. a matrix with a block structure \begin{align} \pmatrix{A &amp; 0 \\          0 &amp; B} \end{align} is positive definite and I also know that if $p=q$, then $A+B$ is positive definite as well.  Can I say that as well if the blocks overlap partially? When?   For instance a matrix as follows: \begin{align} \pmatrix{a_{11} &amp; a_{12} &amp; a_{13} &amp; a_{14} &amp; 0&amp; 0\\          a_{21} &amp; a_{22} &amp; a_{23} &amp; a_{24}&amp; 0&amp; 0\\          a_{31} &amp; a_{32} &amp; a_{33} + b_{11} &amp; a_{34} + b_{12} &amp;b_{13}&amp;b_{14}\\          a_{41} &amp; a_{42} &amp; a_{43} + b_{21} &amp; a_{44} + b_{22} &amp;b_{23}&amp;b_{24}\\          0 &amp; 0 &amp; b_{31} &amp; b_{32} &amp;b_{33}&amp;b_{34} \\          0 &amp; 0 &amp; b_{41} &amp; b_{42} &amp;b_{43}&amp;b_{44}} \end{align} I frequently login to a server, then cd into a specific directory. Is it possible to simplify these two commands into one?   ssh bob@foo   cd /home/guest   I'd like to avoid changing anything on 'foo' if possible, as I'll have to clear it with the server administrator. I use bash, but I am open to answers in other shells. Let's take the numbers 0-10.  Their mean is 5, and the individual deviations from 5 are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 And so the average (magnitude of) deviation from the mean is $30/11 \approx 2.72$.  However, this is not the standard deviation.  The standard deviation is $\sqrt{10} \approx 3.16$.  The first mean-deviation is a simpler and by far more intuitive definition of the "standard-deviation", so I'm sure it's the first definition statisticians worked with.  However, for some reason they decided to adopt the second definition instead.  What is the reasoning behind that decision? Reputation does not update after community wiki is removed from a post, and does not match the value displayed in the reputation audit Is it possible to create image data and save to a file from a script Verify $\int\sec x\ dx=\frac12 \ln \left\lvert\frac{1+\sin x}{1-\sin x}\right\rvert + C$ Can't Add css-columns Tag I've tried at least 4 times on  to add the tag css-columns, but each time after I save it disappears. When I type it in the tag box, it shows up and even has a tag wiki associated with it, but it will not stick when I save. find the measure of $AMC$ if $M$ is the midpoint of $BC$ then find the measure of $AMC$.    I tried to use the angles to find $AMC$ but I don't know how to use that $M$ is the midpoint of $BC$. Entire function bounded by polynomial of degree 3/2 must be linear. The problem is as follows:     Suppose $f$ entire satisfying   $$ |f(z)| \leq A + B |z|^{3/2} $$   for some fixed $A,B &gt; 0$. Prove that $f$ is a linear polynomial.   I know I want to reduce it to a function where I can use a Cauchy bound, but I'm not sure how. Printing pointers in C I was trying to understand something with pointers, so I wrote this code:  #include &lt;stdio.h&gt;  int main(void) {     char s[] = "asd";     char **p = &amp;s;      printf("The value of s is: %p\n", s);     printf("The direction of s is: %p\n", &amp;s);      printf("The value of p is: %p\n", p);     printf("The direction of p is: %p\n", &amp;p);      printf("The direction of s[0] is: %p\n", &amp;s[0]);     printf("The direction of s[1] is: %p\n", &amp;s[1]);     printf("The direction of s[2] is: %p\n", &amp;s[2]);      return 0; }   When compiling it with gcc I get these warnings:  $ gcc main.c -o main-bin -ansi -pedantic -Wall -lm main.c: In function ‘main’: main.c:6: warning: initialization from incompatible pointer type main.c:9: warning: format ‘%p’ expects type ‘void *’, but argument 2 has type ‘char (*)[4]’ main.c:11: warning: format ‘%p’ expects type ‘void *’, but argument 2 has type ‘char **’ main.c:12: warning: format ‘%p’ expects type ‘void *’, but argument 2 has type ‘char ***’   (The flags for gcc are because I must be C89)  Why incompatible types of pointer? Isn't the name of an array a pointer to it's first element? So if s is a pointer to 'a', &amp;s must be a char **, no? And why do I get the other warnings? Do I have to cast the pointers with (void *) in order to print them?   And when running I get something like this:  $ ./main-bin The value of s is: 0xbfb7c860 The direction of s is: 0xbfb7c860 The value of p is: 0xbfb7c860 The direction of p is: 0xbfb7c85c The direction of s[0] is: 0xbfb7c860 The direction of s[1] is: 0xbfb7c861 The direction of s[2] is: 0xbfb7c862   How can the value of s and it's direction (and of course the value of p) be the same? Return matched elements' attribute ar array using jQuery What do the colors mean in htop? Using Iterator with ModelBuilder for clipping and splitting in ArcMap? What is the difference between ++i and i++?