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I need help running python in ubuntu  I can run python without a problem in my terminal but when I create a .py file I can't get it to run. Question: Let $F_n$ the sequence of Fibonacci numbers, given by $F_0 = 0, F_1 = 1$ and $F_n = F_{n-1} + F_{n-2}$ for $n \geq 2$. Show for $n, m \in \mathbb{N}$: $$F_{n+m} = F_{n-1}F_m + F_n F_{m+1}$$   My (very limited) attempt so far: after creating a small list of the values $F_0=0, F_1=1, F_2=1, F_3=2, F_4=3, F_5=5, F_6=8, F_7=13, F_8=21, F_9=34, F_{10}=55$ i can see that yes it does seem to work for instance $F_{6+3}=F_5 F_3 +F_6 F_4 = 10 +24 = 34 = F_9$. However, I really don't know where to begin as showing that this must hold in general terms. Should I be looking to use limits? Or perhaps induction? What is the best way to solve this? Is it possible to adjust desktop monitor brightness like on laptops? Yes all desktop monitors have separate menu for it. But is it possible to change this to something like Winkey+(F1..F12)?    Monitor is connected via VGA or DVI cable.   OS: Ubuntu 14.04 Desktop monitors What is a command to compile and run C++ programs? I am  new to Linux. I am using Ubuntu 11.04 and do not know how to compile and execute C++ program in it. I need to know the commands to Compile and Execute a C++ program in Linux. Configuring, compiling and installing a custom Linux kernel How can I efficiently check the originality of my work? android how an EditText work as AutoComplete The coefficient of kinetic friction can be calculated using $\mu_k = F_k/F_n$. A change in angle does not affect the normal force, but doesn't a change in angle affect the friction? As in if the angle is steeper, wouldn't the object have a greater propensity to move down the slope, thus there will be less friction? Within a set of directories, how do I find a file whose name includes a given string, such as "abcde"? Working with large images and transform in the VSE Prove previsibility and $E[X_{T \wedge n}] \le E[X_{S \wedge n}]$ Let $f(z)$ be an entire function such that $$|f(z)|&lt;\frac{1}{|\text{Im}(z)|},\qquad z\in\Bbb C-\Bbb R.$$ The question asked me to prove that $f(z)=0$. At least looking at it, it really seems to have an application of Liouville's theorem lurking around somewhere, but I haven't found it.   My thoughts first led me to think about doing this by contradiction and using Picard's little theorem. So, I've considered a strip containing the real axis (say of width $2$ for simplicity). This will imply the complement maps into the unit disk, which implies that this strip has to map almost everywhere else on the complex plane. Now, on the imaginary axis, I know that $f(z)$ will vanish as $z\to\infty$, and this seems like it might be useful. I'm sort of under the impression $f(z)$ might have an essential singularity at $\infty$, which would mean $f(1/z)$ has an essential singularity at $0$. Either way, it of course can't have a pole at $\infty$ because of $f(z)$ vanishing on the imaginary axis, and if it is a removable singularity, it must be $0$, which still gives the solution. Therefore, I think it must have something to do with $f(z)$ having an essential singularity at $\infty$.   I was hoping to combine this with the above inequality and deduce a contradiction, but I haven't thought of one yet.   Any hints or suggestions? I'm studying for a prelim. exam, so this isn't homework.  Update: So, in the spirit of searching methods using the essential singularity at $z=0$, we have $$\left|f\left(\frac{1}{z}\right)\right|\leq\frac{1}{\left|\text{Im}\left(\frac{1}{z}\right)\right|}=\frac{|z|^2}{|y|}.$$ Thus, for $|y|&gt;1$, we have $$\left|f\left(\frac{1}{z}\right)\right|&lt;|y|\left|f\left(\frac{1}{z}\right)\right|&lt;|z|^2.$$ Thus, if I can show that $|f(1/z)|$ is a polynomial, we'll know it can't have an essential singularity at the origin, concluding my proof. My table doesn't fit; what are my options? I have a table that I want to insert on a page, but at least one (perhaps both) of the following conditions are met:   The table is too wide to fit within the text block or page. That is, I'm exceeding some horizontal restriction. The table is too tall to fit within the text block or page. That is, I'm exceeding some vertical restriction.   What are my options to make this table fit? If it doesn't fit, regardless of my attempts, what other options exist? Scenario  I created a journey with a Contact Data entry event that is triggered via the API. A subscriber should be able to be injected multiple times and the values in the data extension are updated while the subscriber is in the journey. The updated values should determine the path the subscriber follows.  Setup  As changed data needs to be evaluated and the contactkey cannot be used as primary key, I added a random id as primary key and created an attribute group for the data extension in Data Designer. The data extension is linked to the contact's contactkey using a one-to-many relationship as a contact should be able to enter the journey multiple times.  In the journey I'm using a decision split that is configured to use contact data from the created attribute group and has two branches (as it checks a boolean value).  Problem  For multiple entries the decision split doesn't evaluate correctly and always leads to same branch (value equals false). I suppose the problem is that journey builder doesn't use the primary key to identify the correct row in the data extension. Is there any way to make sure the row is matched using this id and not the contactkey as this leads to some strange behaviour as described here: Can people PLEASE spell out their slang acronyms What's the process to change a site logo? Who is responsible for defining a site logo? I mean, there are moderators of the site that define it, or stackexchange defines it? What is the inverse of the $\mbox{vec}$ operator? There is a well known  operator $\mbox{vec}$ in matrix analysis.   I've vectorized my matrix equations, did some transformation of vectorized  equations and now I want to get back to the matrix form. Is there special operator for it? What is the difference between a static and a non-static initialization code block My question is about one particular usage of static keyword. It is possible to use static keyword to cover a code block within a class which does not belong to any function. For example following code compiles:  public class Test {     private static final int a;         static {         a = 5;         doSomething(a);     }     private static int doSomething(int x) {         return (x+5);     } }   If you remove the static keyword it complains because the variable a is final. However it is possible to remove both final and static keywords and make it compile.   It is confusing for me in both ways. How am I supposed to have a code section that does not belong to any method? How is it possible to invoke it? In general, what is the purpose of this usage? Or better, where can I find documentation about this? Mandatory excerpt for custom post type Should I use "or" or "nor" in the following case? I wasn't forcing myself to say anything, or/nor trying to be funny.   "Or" sounds more grammatically correct to me. But "nor" has more Google results. So I'm confused.