What is the best and fastest way to make money in Runescape?
Money making in Runescape
How soon should I "vote to close"? I haven't seen the question stated precisely in these terms, and this is why I make a new question.  What I am interested in knowing is not the definition of a neural network, but understanding the actual difference with a deep neural network.  For more context: I know what a neural network is and how backpropagation works. I know that a DNN must have multiple hidden layers. However, 10 years ago in class I learned that having several layers or one layer (not counting the input and output layers) was equivalent in terms of the functions a neural network is able to represent (see Cybenko's ), and that having more layers made it more complex to analyse without gain in performance. Obviously, that is not the case anymore.  I suppose, maybe wrongly, that the differences are in terms of training algorithm and properties rather than structure, and therefore I would really appreciate if the answer could underline the reasons that made the move to DNN possible (e.g. mathematical proof or randomly playing with networks?) and desirable (e.g. speed of convergence?) Spoiler warning!  During the first escape attempt in Portal 2 (when GLaDOS is still in charge) she opens a door for you which you can choose to go through instead of following Wheatley (the blue-eyed ball). What happens if you go there? For mathematics, is it ever disadvantageous to use \left(  and \right)  in equations?  I can't see any way that doing this would hinder the typesetting, so why isn't () just converted into \left( \right) automatically? This would save a lot of typing.  Cheers! Mathoverflow - why so different Curious why  (se site) doesn't have hot questions list on the right.  It also uses the old stackoverflow design.  Why has this site's design and functionality been abandoned (or at least look abandoned?) I have a dataframe with many observations and many variables. Some of them are categorical (unordered) and the others are numerical.  I'm looking for associations between these variables. I've been able to compute correlation for numerical variables (Spearman's correlation) but :   I don't know how to measure correlation between unordered categorical variables. I don't know how to measure correlation between unordered categorical variables and numerical variables.   Does anyone know how this could be done? If so, are there R functions implementing these methods? Can you reuse marinade used with raw chicken? I marinated chicken a couple weeks ago, and stored the marinade afterwards in a jar. Can it be reused, or is that dangerous? I've been told conflicting stories here. The marinade is mostly teriyaki if that makes a difference.   Intended use of used marinade: Marinate chicken which will then be cooked in the oven. It will not be used with anything that won't be cooked (like a sauce). I'm aware that this one is far from yes or no question, but I'd like to know which techniques do you prefer in categorical data analysis - i.e. cross tabulation with two categorical variables.  I've come up with:    &chi;2 test - well, this is quite self-explanatory  Fisher's exact test - when n &lt; 40, Yates' continuity correction - when n > 40,  Cramer's V - measure of association for tables which have more than 2 x 2 cells, &Phi; coefficient - measure of association for 2 x 2 tables, contingency coefficient (C) - measure of association for n x n tables, odds ratio - independence of two categorical variables, McNemar marginal homogeniety test,   And my question here is: Which statistical techniques for cross-tabulated data (two categorical variables) do you consider relevant (and why)? Suppress Fancy header and footer on first page only. Why "would" instead of "will" in this sentence? The goal for these negotiations is to reach a mutually-agreed long-term comprehensive solution that would ensure Iranˈs nuclear program will be exclusively peaceful.    what does would imply here? If it implies future, why will has not been used?  A good link teaching would thoroughly would be really appreciated. Specially, distinguishing between the senses of would is not always easy. I want create my own IDE but I want a code editor that would syntax highlighting.  I want to embed it as a control into a WPF window.  Malcolm Find $\lim\limits_{x \to \infty} \frac{x}{(\log{x})^n}$ Find $\displaystyle \lim_{x \to \infty} \dfrac{x}{(\log{x})^n}$.   My book says that $\displaystyle \lim_{x \to \infty} \dfrac{(\log{x})^n}{x} = \lim_{y \to \infty} \dfrac{y^n}{e^y} = 0$, but I don't see how that is true. Prove: If $a\mid m$ and $b\mid m$ and $\gcd(a,b)=1$ then $ab\mid m$ parsing XML file gets UnicodeEncodeError (ElementTree) / ValueError (lxml) My PC (Lenovo Ideapad z580) is overheating while running Ubuntu GNOME 16.04 LTS.  $ uname -a Linux Mahadev 4.4.0-72-generic #93-Ubuntu SMP Fri Mar 31 14:07:41 UTC 2017 x86_64 x86_64 x86_64 GNU/Linux  $ lspci -nnk|grep -A2 VGA 00:02.0 VGA compatible controller [0300]: Intel Corporation 3rd Gen Core processor Graphics Controller [8086:0166] (rev 09)   Subsystem: Lenovo 3rd Gen Core processor Graphics Controller [17aa:3977]   Kernel driver in use: i915   $ sensors acpitz-virtual-0 Adapter: Virtual device temp1:        +52.0°C  (crit = +104.0°C)  coretemp-isa-0000 Adapter: ISA adapter Physical id 0:  +54.0°C  (high = +72.0°C, crit = +90.0°C) Core 0:         +54.0°C  (high = +72.0°C, crit = +90.0°C) Core 1:         +54.0°C  (high = +72.0°C, crit = +90.0°C)  update vivek@Mahadev:~$ stress -t 300 -c $(getconf _NPROCESSORS_ONLN) &amp;&amp;  sensors stress: info: [4408] dispatching hogs: 4 cpu, 0 io, 0 vm, 0 hdd stress: info: [4408] successful run completed in 300s acpitz-virtual-0 Adapter: Virtual device temp1:        +73.0°C  (crit = +104.0°C)  coretemp-isa-0000 Adapter: ISA adapter Physical id 0:  +72.0°C  (high = +72.0°C, crit = +90.0°C) Core 0:         +69.0°C  (high = +72.0°C, crit = +90.0°C) Core 1:         +72.0°C  (high = +72.0°C, crit = +90.0°C)  update     vivek@Mahadev:~$ sudo lshw -C cpu     [sudo] password for vivek:    *-cpu                             description: CPU         product: Intel(R) Core(TM) i3-3110M CPU @ 2.40GHz         vendor: Intel Corp.        physical id: 0        bus info: cpu@0        version: Intel(R) Core(TM) i3-3110M CPU @ 2.40GHz        serial: To Be Filled By O.E.M.        slot: CPU Socket - U3E1        size: 1302MHz        capacity: 2400MHz        width: 64 bits        clock: 100MHz        capabilities: x86-64 fpu fpu_exception wp vme de pse tsc msr  pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx  fxsr sse sse2 ss ht tm pbe syscall nx rdtscp constant_tsc arch_perfmon  pebs bts rep_good nopl xtopology nonstop_tsc aperfmperf eagerfpu pni    pclmulqdq dtes64 monitor ds_cpl vmx est tm2 ssse3 cx16 xtpr pdcm pcid    sse4_1 sse4_2 x2apic popcnt tsc_deadline_timer xsave avx f16c lahf_lm    epb tpr_shadow vnmi flexpriority ept vpid fsgsbase smep erms xsaveopt     dtherm arat pln pts cpufreq           configuration: cores=2 enabledcores=2 threads=4  Update This time I edited the sensors , htop command result in image. It's getting overheated, my laptop is getting hang cause of overheating, please watch and reply. Thanks. How can I replace a relay with a MOSFET Transistor? I have this working         &ndash; Schematic created using   An Arduino commute both relays and a power adapter charge each battery at a time.  I would like to replace each relay by a MOSFET. How can I do that?  I think the solution bellow will not work because DRAIN is always connected to SOURCE and this will short circuit batteries. MOSFETS only isolate from SOURCE to DRAIN.  When the D9 is HIGH, D10 will be LOW so the power adapter will never be charging both batteries simultaneously.          Sorry for the messy schematic.  Thank you very much. What is the setting in bash for globbing, to control whether * matches dot files I was surprised recently when I did something like mv ./* ../somedirectory and found that files like .gitignore were not moved.  I do most of my work in zsh on OS X, and this surprise bit me in bash on CentOS.  I tried bash on OS X and found the same behavior: * does not match dot files.  This seems very undesirable to me, but apparently it's the bash default.  (It may be the zsh default too for all I remember, but I may have changed it years ago in my .zshrc and forgotten it ever worked differently.)  How can I configure bash to behave as I expected: for * to match all files, and not ignore dot files.  In case this is at all unclear, here's how to reproduce it    cd /tmp mkdir {t,d}est touch test/{.,}{1,2,3,4,5,6,7} ls -hal test mv test/* dest ls -hal test     # notice dot files are still there ls -hal dest     # notice only some files were mv'ed How does rolling two d20 and taking the higher affect the average outcome? D&amp;D 5E has an "advantage" concept where instead of rolling 1d20, you roll 2d20 and take the higher. Likewise, disadvantage means rolling 2d20 and taking the lower.  How does this affect the expected average outcome of the roll? Let $C$ be a finitely generated $R$-algebra where $R$ is unital commutative ring. Let $S$ be a simple $C$-module. Show that the annihilator of $S$ in $R$ is a maximal ideal. What I have tried is: When $C=R$ then it is a direct consequence of the simplicity of $S$ as an $R$-module. Further, since $S$ is simple then $S$ is cyclic (i.e. $S=Cy$ for nonzero $y\in S$). Consider the map $$f: C \to S$$ $$c \mapsto cy$$ Then $\ker(f)$ is the annihilator of $S$ in $C$ and $\ker(f) \cap R$ is the annihilator of $S$ in $R$. I have shown that it is an ideal of $R$ but I have no idea to continue showing the maximality. Is it a true direction or is there anything else I should consider to show the maximality? When should \cdot be used to indicate multiplication? Is this purely personal style, or are the generally accepted guidelines? Clearly, when dealing with numbers either $2 \cdot 2$ or $2 \times 2$ is needed, but within formulae where an absence of an operator implies multiplication, when should a \cdot be used? I tend to use it only sparingly if it aids in grouping. (Of course, barring the cases where it's required, e.g. a dot product.)