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I have seen somewhere that classical distances (like Euclidean distance) become weakly discriminant when we have multidimensional and sparse data. Why? Do you have an example of two sparse data vectors where the Euclidean distance does not perform well? In this case which similarity should we use? $E$ is a measurable set of finite measure and $1 \le p_{1} &lt; p_{2} &lt; \infty$. Consider the linear space $L^{p_{2}}(E)$ normed by $||.||_{p_{1}}$. Is this space Banach? Equivalent of *Nix 'which' command in PowerShell? How do I ask PowerShell where something is?    For instance, "which notepad" and it returns the directory where the notepad.exe is run from according to the current paths. I need a list of integers from 1 to x where x is set by the user.  I could build it with a for loop eg assuming x is an integer set previously:  List&lt;int&gt; iList = new List&lt;int&gt;(); for (int i = 1; i &lt;= x; i++) {     iList.Add(i); }   This seems dumb, surely there's a more elegant way to do this, something like the How do I get the raw representation of a string in Python? I'm studying the Darboux definition of integrability, which I completely explained . There's an exercise that asks me to prove that the Darboux Integrability is equivalent to Riemann Integrability, but this Riemann integral is defined as the following:  It first defines a 'pointed' partition (I don't know how to say it in ensligh) by the following: a 'pointed' partition $[a,b]$ is a pair $P^*=(E,ξ)$, where $P=\{t_0, t_1, \cdots, t_n\}$ is a partition of $[a,b]$ and $ξ = (ξ_1, \cdots, ξ_n)$ is a list of $n$ chosen numbers such that $t_{i-1}\le ξ_i\le t_i$ for each $i=1,\cdots ,n$.  Now, the Riemann Integral is defined as:  $$\sum(f,P^*) = \sum_{i=1}^n f(ξ_i)(t_i-t_{i-1})$$  (I didn't understand the notation for the left hand side of the equation, by the way)  Finally, I'm asked to prove the following: given $f,g:[a,b]\to \mathbb{R}$ integrable functions, for the entire partition $P=\{t_0, \cdots, t_n\}$ of $[a,b]$ let $P^* = (P,ξ)$ and $P^{\#} = (P, η)$ be pointed partitions of $P$, then:  $$\lim_{|P|\to 0}\sum f(ξ_i)g(η_i)(t_i-t_{i-1}) = \int_a^b f(x)g(x) \ dx$$  I guess here I need to prove that the Riemann Integral of the product of two functions if the darboux integral of $f(x)g(x)$, but it seems too obvious, I just need to verify that $f,g$ are integrable, then their product is too, isn't it? I'm pretty sure this should be a hard question. Is there another interpretation that I'm missing? We had a rule check tonight that we couldn't answer. On the Pathfinder wiki I could only find info on natural 20s and 1s in regards to attack rolls and saves in combat.  Do they also apply to skill checks? How can I disable the "Welcome, Name!" banner notification for Game Center? How do I calculate the resistor value for a simple LED circuit? mysql database no space available I was restoring a 200 GB database into a newly installed RHEL machine. However, while restoring I ran into no space available issue.   Is it possible to change the directory where the databases are stored? I read that this is because the mean and variance completely specify a normal distribution. However, e.g. for a Poisson distribution the mean, variance and third moment can all be expressed with the same parameter lambda. Is this not what it means to 'completely specify' a distribution?  What is an example of two Poisson distributions having the same mean, variance and different higher moments? If we treated weak stationary as if it was strict stationarity, what would happen when we try to do time series analysis? Open terminal window and execute Python script on startup I have a Python script which I would like to execute at every startup. I can run it by adding this to the startup applications:  python3 /path/to/script.py   That works, but it doesn't open a terminal window, so I can't see the program's output. How could I make it open a terminal window and execute the script in there?  Note: I get the window to stay open with input(' ') at the end of the Python script. Thanks! How can I increment a date by one day in Java? I'm working with a date in this format: yyyy-mm-dd.  How can I increment this date by one day? Expression for a choice which isn't really one Where should I post my sum-up of the answers, as the OP? I'm searching for a word to indicate something that was current at some time in the past, but not necessarily now.    For example:       The doctor's report of June 2008 set forth the patient's ?{then-current} complaints. I've tried to set -g mouse on, and it works pretty well, but standard mouse behaviour (select, copy &amp; paste) is disabled. But, it enables if I press "Shift" button, and while I hold it, I can select, copy &amp; paste text from/to terminal. Can I inverse this behaviour? I want to use mouse inside tmux (for example to select panes or resize them) only with shift pressed. How do I install the latest OpenOffice? For privacy and performance reasons, I'd like to prevent my computer from ever communicating with certain Internet hosts. I'd like to do this at the OS level, not through web browser plug-ins (not broad enough), or even through my home router (my laptop travels). I'd prefer to use built-in tools.  I'm running Windows 7 Professional 64-bit. I'm all too familiar with the Windows hosts file - and its limitations. There seems to be some confusion over whether hosts supports wildcards, but my own tests confirm that it does not.  I have experimented with Windows Firewall and the IP Security Policy MMC snap-in. So far as I can tell, both require numeric addresses. I don't want to block specific IP addresses, or ranges of addresses, in part because IP-address-to-hostname mappings can and do change.  Is there any tool in Windows 7 Professional with which I can block (or route to 0.0.0.0) communication with Internet hosts by hostname mask? If not, are there any good, free, third-party tools? Does anyone have a Terminal command-line recipe for making a new bootable USB flash drive for one of the new MacBook Air's?  Is there a way to dd copy the USB boot device that comes in the box and make the new copy bootable?  I'd like to make a new backup copy of the USB rescue device for my MBA, preferably on a much larger flash drive with room for a backup of some of my working directories.  Added:  And is it possible to make, not just a rescue drive, but a bootable USB drive that will boot a fully updated version of the OS (say 10.6.8 or later)?  If so how on a MacBook Air 11, and how big a USB stick will this require?