Finding $\lim_{x\to 1}\frac{\sqrt[m]x - 1}{\sqrt[n]x - 1}$
Find $\,\lim_{x\to 1}\frac{\sqrt[n]{x}-1}{\sqrt[m]{x}-1}$
How many maximum CPUs does Ubuntu support by default? I think this is kernel dependent and probably will change over time depending on the kernel a release uses, correct me if wrong  I'd like to know two things for all the currently supported Ubuntu releases:  How many maximum CPUs can Ubuntu handle (by default) at the same time with a standard desktop kernel? Is that count different from a server kernel and 32bit/64bit systems?  Where can I find that information on my system? How do I remove the space between inline/inline-block elements? Segmentation fault on large array sizes How to determine if Javascript object is an event? What is known about $\mathcal C^\infty$ functions $\mathbb R\to\mathbb R$ that always take rationals to rationals? Are they all quotients of polynomials? If not, are there any that are bounded yet don't tend to a limit for $x\to +\infty$? If there are, then can we also require them to be analytic?  (This is basically just a random musing after I found myself using trigonometric functions twice in unrelated throwaway counterexamples. It struck me that it was kind of conceptual overkill to whip out a transcendental function for the purpose I needed: basically that it had to keep wiggling forever. I couldn't think of a nice non-trancendental function to do this job, however, and now wonder whether that is because they can't exist). Parse a Json Array in to a class in c# reformat date to have month in words Currently my text file looks like this..  David   Webb    Box 34 Rural Route 2    Nixa    MO  65714   (417)555-1478   555-66-7788 09-13-1970 Martha  Kent    1122 North Hwy 5    Smallville  KS  66789   (785)555-2322   343-55-8845 04-17-1965 Edward  Nygma   443 W. Broadway Gotham City NJ  12458   (212)743-3537   785-48-5524 08-08-1987 O'Reilly    Baba    123 Torch Ln    Joplin  MO  64801   (417)222-1234   456-65-3211 12-13-1999 Martin Bob  44 Boss Rd  Joplin  MO  64801   (417)888-4565   456-98-1111 01-01-2007   the dates are in the 9th field and I want to display them as January 7, 2017 instead of 01-07-2017 for example.  How should I do that? If using options please explain what they do briefly. Doing this in bash. Needing to put it in a script and output to a new file to preserve original. I built a ZI model and it is producing predicted values that are from a very small range when compared to the observed values. Plus it does not produce any zeros. See the fitted vs. observed graph below.     My model structure is given below. My response is a count variable and the predictor is continuous water level measurements (scaled).   m.u.meanwl.gu &lt;- zeroinfl(GU ~ MeanWLScaled | MeanWLScaled, data = uluabat_wl_fg, dist = "negbin", link = "logit")   I need help to figure out what's wrong and fix it. Thanks in advance. Algorithm for minimization of sum of squares in regression packages Testing random variate generation algorithms Which methods are used for testing random variate generation algorithms? How are PCA and classical MDS different? How about MDS versus nonmetric MDS? Is there a time when you would prefer one over the other? How do the interpretations differ? Why are text format commands used inside braces? Most commands in Latex are written with the arguments inside braces following the command: \command{arguments}. But text formatting options, like \em, or \scriptsize are usually written inside the braces, like {\em some italicised text}. Why is this? What makes these commands different? I'm particularly asking because it seems to make standardisation - of which LaTeX really appears badly in need - more difficult. calculate slope for a road network I am working on a road network for routing operations using postgis and QGIS.    I am new to both of these tools and need to calculate the slope for each edge (by retrieving the Z value for the start and end node for the edge from a raster). Any ideas of the best approach to this?   I know postgis can dump points and get the value from a raster, but can I get the slope attribute to the edge without breaking the network topology (with edges that have corresponding start/end nodes) using this method?   thanks How do I scale the enormously sized desktop icons on Ubuntu 18.04? Two git repositories in one directory? Is it possible to have 2 git repositories in one directory?  I'd think not, but thought I'd ask.  Basically, I'd like to check in my home directory config files (e.g. .emacs) which should be common across all of the machines I work on, but have a second repository for local files (e.g. .emacs.local), which contains machine-specific configurations.  The only way I can think of to do that is to have the local config in a subdirectory and ignore that subdirectory from the main git repository.  Any other ideas? The cow in the field problem (intersecting circular areas) What length of rope should be used to tie a cow to an exterior fence post of a circular field so that the cow can only graze half of the grass within that field?  updated: To be clear: the cow should be tied to a post on the exterior of the field, not a post at the center of the field. Actionbar background is not being changed What does the term saturating nonlinearities mean? I was reading the paper  and in section 3 were they explain the architecture of their Convolutional Neural Network they explain how they preferred using:     non-saturating nonlinearity $f(x) = max(0, x). $   because it was faster to train. In that paper they seem to refer to saturating nonlinearities as the more traditional functions used in CNNs, the sigmoid and the hyperbolic tangent functions (i.e. $f(x) = tanh(x)$ and $f(x) = \frac{1}{1 + e^{-x}} = (1 + e^{-x})^{-1}$ as saturating).   Why do they refer to these functions as "saturating" or "non-saturating"? In what sense are these function "saturating" or "non-saturating"? What do those terms mean in the context of convolutional neural networks? Are they used in other areas of machine learning (and statistics)? If $G$ is isomorphic to $H$, then ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$ If a group $G$ is isomorphic to $H$, prove that ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$.   Can someone provide a step by step solution? Explaining along the way our strategy in proving this. Meta Stack Exchange should not penalize downvotes