As the heading says: Should I use a hyphen in premodifiers referring to a time period? That is, should I write  A five-year stay   A 60-credit programme   A year-long ordeal  or  A five year stay   A 60 credit programme   A year long ordeal  Thank you!
I think the single dashes (hyphens) should be placed between the numbers and units in this sentence:     ...in a cylinder of 3-inch radius and 24-inch length.   Is that correct and should hyphens be added to this second sentence?     ...making a trench nearly 15 feet wide and more than 30 feet long.
How should I invest my money as a young graduate in Europe? This is related to this , but that question's answers are 95% tailored for residents of the US, basically recommending to full out the 401k retirement plan and this and that about stock market investments. My question is, are there other types of investments that are good for a young person starting out a career? Pointers:  I live in a welfare state in Europe, so I don't have college debt, (debt of any kind actually). Rainy day funds are much less needed than in the US, since here there is unemployment insurance for at least 18 months. I can probably invest 500€-600€ monthly for something. (The question is what.) I am not looking to invest in my retirement (I am already forced to pay for that out of my salary). I want to maximize my earnings for medium term (5-15 years). I specially want to avoid the typical paradox of (be poor in your 20's,30's,40's and be able to use your money after your 50's). That is not an option for me, I want to use my money for X or Y. But the money used has to be earned from an investment. That is a general rule for me.  For example I want to earn from my investments at least 70k€ after 5-10 years. So I'm guessing this would be a high risk investment, correct? I would like to spend on travel, on courses, on sports etc... But I insist that the money I spend should be a result of an investment not from my salary. Additionally I am not looking to buy a house so I don't want a mortgage. Except if this would constitute a good investment? FYI: this applies to France. But I'd like a general answer so others can benefit. If the question is unclear, a duplicate or off-topic don't hesitate to comment Capacitor with different charges on each plate I am confused as to whether/how capacitance changes when each plate has a different charge.  For example, consider a coaxial cable and put $20Q$ on the outer cable, and $-Q$ on the inner. Or how about concentric spheres, grounding either the inner or the outer? Unknown Syntax Error in Code So, I am following a , and it is using Python code to create an audio visualizer in Blender. Now, I've always been a coding geek, but I don't actually know Python. I've taken a few shots at it but overall, I don't know Python, however, I can read and understand the code because I know basic programming concepts. Now, I'm following this tutorial as closely as I can (the tutorial does not provide code to copy and paste) and I am getting a syntax error. As far as I can tell, there is no syntax error. The line of code (specified by the error message) appears perfect. This line of code is supposed to set the 3D cursor to the active object's origin. Here's the catch: if I run that exact same line of code in the console, it executes just fine. So here's the error message I get:  File "C:\Me\Blender\Blender Projects\audio visualisation.blend\AudioVisualizer", line 17 bpy.context.scene.cursor_location = bpy.context.active_object.location    ^ SyntaxError: invalid syntax location: &lt;unknown location&gt;:-1   It tells me to look in the console for error message, but the console doesn't output anything.    Thanks!  EDIT: Alright. I've tried all the examples and all the procedures that have been suggested by you guys, but it keeps feeding me errors. According to the console, one of the problems it is spitting out is in C:\Program Files\Blender Foundation\Blender\2.74\scripts\modules\bpy\ops.py. This makes me think there is a bug in the API that is causing one of the many errors. EDIT: Here are the error messages I get for my code. Original Code:  Error:   File "C:\Gannon\Blender\Blender Projects\audio visualisation.blend\Audi o Visualizer", line 35     bpy.ops.graph.sound_bake(filepath="C:\Gannon\Blender\Sounds\Music\Batty McFa dden.mp3", low=i*step high=i*step+step                           ^ SyntaxError: invalid syntax    gandalf3's Code and zeffii's Code are essentially the same with alternative formatting which changes the line numbers where the error occurs.  Error: Unsupported audio format  Traceback (most recent call last):   File "C:\Gannon\Blender\Blender Projects\audio visualisation.blend\Audio Visua lizer", line 42, in &lt;module&gt;   File "C:\Gannon\Blender\Blender Projects\audio visualisation.blend\Audio Visua lizer", line 35, in spiral   File "C:\Program Files\Blender Foundation\Blender\2.74\scripts\modules\bpy\ops .py", line 189, in __call__     ret = op_call(self.idname_py(), None, kw) RuntimeError: Error: Unsupported audio format bash function cannot change the value of a local variable when called by $() The following code works differently depending on which way Parse_Short_Switches() is called.  After calling the function 'Parse_Short_Switches' by using result=$(Parse_Short_Switches), the value of $error_flag is NOT set to -1 as I would expect.  After calling the function 'Parse_Short_Switches' by simply using Parse_Short_Switches, the the value of $error_flag is set to -1 as I would expect.  Any help would be greatly appreciated.  Thanks  #!/bin/bash  function Parse_Short_Switches() { echo "error_flag inside of the function= $error_flag" 1&gt;&amp;2 error_flag="-1" echo "blah blah ..." }  # --- MAIN --- error_flag="999" echo "error_flag= $error_flag" #result=$(Parse_Short_Switches) Parse_Short_Switches echo "error_flag= $error_flag" Is there a reason why people can't just take the helicopter to mount Everest? Why is it that helicopters can't reach that high? Here $n$ belongs to natural numbers. Firstly, I proved the relation by putting $n = 1$ . Then, taking $$|\sin(mx)| \leq m|\sin x|$$ true, I had to prove $$|\sin(m + 1)x| \leq (m + 1)|\sin x|$$  Now, here I got stuck. How to prove it?? Please help. Why does (0 < 5 < 3) return true? Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $ Given $$\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$$ evaluate:   $$\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx. $$   I can find that  $$\left(ax+\frac{b}{x}\right)^2 = a^2x^2+2ab+\frac{b^2}{x^2}$$  therefore: $$\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx = e^{2ab}\int_0^{\infty}e^{-\left(ax+\frac{b}{x}\right)^2}dx$$  but I can't find any clue then. How to show a binomial random variable dominates another binomial random variable with a smaller success value? Let $X\sim B(n,p_h)$ and $Y\sim B(n,p_\ell)$ be two random variables following a respective binomial distribution, where $p_h&gt;p_\ell$. I want to show that  $$P(X\ge\alpha)\ge P(Y\ge\alpha),$$ for any $\alpha\in\{0,1,\dots,n\}$. In other words, I want to show  $$P(X\ge\alpha)=\sum_{i=\alpha}^{n}\binom{n}{i}p_h^i(1-p_h)^{n-i}\ge P(Y\ge\alpha)=\sum_{i=\alpha}^{n}\binom{n}{i}p_\ell^i(1-p_\ell)^{n-i}.$$  The statement to be proven is obviously true, but proving it is extremely difficult (at least for me). Can anyone give me some guidance on proving it?  It would be nice if someone can give an algebraic proof too, that is, show that  $$\sum_{i=\alpha}^{n}\binom{n}{i}p_h^i(1-p_h)^{n-i}\ge \sum_{i=\alpha}^{n}\binom{n}{i}p_\ell^i(1-p_\ell)^{n-i}.$$  Thank you very much! Examples and Counterexamples of Relations which Satisfy Certain Properties "I'm right, aren't I?" My dictionary reports that aren't is also an abbreviation for am not, when used in questions.  Is this use of aren't common? If it is common, are there any differences between the different English dialects?     Why aren't I being given a pay raise? If $\alpha_{1},\ldots,\alpha_{m}$ are vectors different from zero vector, then there is a linear functional $f$ such that $f(\alpha_{i})\neq 0$ Show that a matrix is nilpotent. Let $A,B \in \mathbb{M}_n (\mathbb{C})$. If $A^2B + BA^2 = 2ABA$ then exist $k \in \mathbb{N}$ where $(AB-BA)^k = 0$.  I tried solve with minimal polynomial, but I did not have much effect. Custom unique constraint, only enforced if one column has a specific value I'm looking for a way of saying “having amorous affairs”. Ideally it should indicate a married man fooling around with younger women, and the expression should be informal, humorous, in low register but yet not rude. See all my questions across all Stack Exchange sites? How to find an end point of an arc given another end point, radius, and arc direction? Rules of thumb for divisibility Given a number presented in decimal form $n=\sum_{k=0} d_k10^k$ there are some nice thumb rules to decide whether it is divisible with a prime number  $p\in\{7,11,13,17,19,23,29\}$.   For each of this numbers there is a number  $a_p$ such that $p|n\iff p|(a_p\cdot d_0+\sum_{k=0} d_{k+1}10^k)$.  $a_7=-2,\;a_{11}=-1,\;a_{13}=4,\;a_{17}=-5,\;a_{19}=2,\;a_{23}=7,\;a_{29}=3$  E.g. $\;19\cdot 17=323$ and $32+2\cdot 3=38=2\cdot 19$ and $32-5\cdot 3=17$.  Is there a number $a_{31}$ that works the same way? Or $a_p,\;p\ge37$? Basically, I would like to make it so that the lighter a pixel is (the more white it has) the more transparent it becomes. Black pixels would be opaque, white pixels would be transparent.  I currently use the slider in blending options on the first tab to get rid of the white and make it transparent but find it works slightly better if I use the magic wand tool with delete.  I figure that there is some blending option out there but there are so many and I'm not sure which to use to achieve my goal.  (Using Photoshop CS6) I told my follower (Serana) to wait. But this is different. I told her to go somewhere and wait so it will activate the enemies. Well it did and I killed them. But Serana seems to be not following me anymore. I can't tell her to follow me. And she is constantly in a squatting position. The only thing I can do is tell her to wait somewhere else to move her. And I can't part ways because I'm doing a main quest and she has to be there. Can anybody give me a tip on what to do?