In (TOS) "The Tholian Web" the USS Defiant (NCC-1764) got pulled into another dimension that we later find out (in Enterprise: “In a Mirror, Darkly”) is the Mirror Universe about 100 years in the past of TOS and is subsequently captured by the Terran Empire.   In (Discovery) "Despite Yourself" the USS Discovery (NCC-1031) is in the Mirror Universe and encounters the ISS Shenzhou (NCC-1227) with what appears to be just about exactly the same tech as the Prime Universe USS Shenzhou (NCC-1227) had.   So the Question is...  With about 100 years of time with a future ship from an alternate timeline how is it that the Empire did not develop significantly advanced technology and design far more advanced ships by reverse engineering the USS Defiant (NCC-1764) and going through its memory banks?  Examples of Alien Tech in Star Trek being reverse engineered in a short period are. (these may not be accurately remembered examples but the question still stands valid)  It only took roughly 30 years to develop the Mobile Emitter for the Doctor in (Voy) "Future's End, Part II" in 1996, something they hadn't even developed in own Voyagers Timeline. Not to mention the computer chip revolution that happened due to this.  In (Voy) "Endgame" Admiral Janeway Travels into the past and within days helps the Voyager develop and implement Technology that wasn't designed for their systems and significantly enhances Voyagers Defensive capabilities.   In (DS9) "Shattered Mirror" the Tarren Resistance Developed and built a Defiant using "acquired" specifications from DS9 in 2371, only needing Sisko's help at the end to fix the same structural issues that the Prime Sisko had when developing the ship.
In Star Trek TOS, we see the Defiant disappear to unknown parts  ('The Tholian Web'), and Star Trek: Enterprise revealed that the Defiant went back in time to the mirror universe ('In a Mirror Darkly', parts 1 &amp; 2).   Because of this, one might wonder why (in-universe) the mirror universe didn't obtain (and maintain) technological superiority over the main timeline. (Granted, the out of universe answer is that TOS depicted the two universes as having essentially the same level of tech)  So does any work (whether STO, or a pocket books work) address why the mirror universe didn't simply leap frog the main universe's technology?   (Or to put it another way, why did the mirror universe's technology appear to stagnate for a century after obtaining access to the Defiant's advanced technology?)
Mathematica9: NDSolve slows down after repeated calls Material setings in properties window is missing I was surprised to discover my dictionary had this entry for dilemma:     a situation in which a difficult choice has to be made between two or more alternatives, esp. equally undesirable ones   The notion of dilemma meaning two or more flies against what I was taught about the word. The very idea of a  is specifically based on the number two.  Has my dictionary merely updated its definition to encapsulate the many people who use dilemma for more than two equal choices? Or was someone in my youth being unnecessarily pedantic? I want to find the interval of convergence of $$\sum_{n=0}^\infty (\frac{n}{n+1})^{n^2}(2x)^n$$ By the root test, $\sqrt[n]{|(\frac{n}{n+1})^{n^2}(2x)^n|}=|(\frac{n}{n+1})^{n}(2x)|$  And $(\frac{n}{n+1})^n=(1-\frac{1}{n+1})^n\to\frac1e$ as $n\to\infty$  So I've got an open interval(of convergence) s.t. $|\frac1e 2x|&lt;1\implies |x|&lt;\frac e2$.  Now I need to figure out whether the series is convergent or not at the end points, $x=\frac e2, -\frac e2$.  So there are two series I need to deal with, namely, $\sum_{n=0}^\infty (\frac{n}{n+1})^{n^2}e^n$ and $\sum_{n=0}^\infty (\frac{n}{n+1})^{n^2}(-1)^ne^n$.  Suppose $(\frac{n}{n+1})^{n^2}$ is increasing. Then $$(\frac{n}{n+1})^{n^2}&lt;(\frac{n+1}{n+2})^{(n+1)^2}\iff 1&lt;(\frac{n+1}{n+2})^{(n+1)^2}(\frac{n+1}{n})^{n^2}$$ $$\iff 1&lt;(1-\frac{1}{n+2})^{2n+1}(1+\frac{1}{n^2+2n})^{n^2}$$  But $(1-\frac{1}{n+2})^{2n+1}\to\frac{1}{e^2}$ and $(1+\frac{1}{n^2+2n})^{n^2}&lt;(1+\frac{1}{n^2})^{n^2}\to e$  So I have $1&lt;\frac1e&lt;1$, which is a contradiction. Hence $(\frac{n}{n+1})^{n^2}$ is not increasing. But I don't know if it's decreasing. (is it true that $(1+\frac{1}{n^2+2n})^{n^2}\to e$?)  If $(1+\frac{1}{n^2+2n})^{n^2}\to e$ is true, then $(\frac{n}{n+1})^{n^2}e^n$ converges to some positive number, so $\sum(\frac{n}{n+1})^{n^2}e^n$ diverges. But I don't know if it's decreasing: can't apply the alternating series convergence test(Leibniz's criterion).  So, can you help me with the two end points? So, when someone is red-green colorblind, the colors appear the same to them, like this:   And if you're totally colorblind, then things presumably just appear like they would in a black-and-white movie.  However, this isn't how ultraviolet patterns seem to work. Compare how we see this flower to the version where ultraviolet is visible:   The UV pattern is completely invisible here. However, unlike with the red and green, this isn't because yellow and UV are colors that appear identical when you can't see UV. Look at these flowers:     This time the flowers are purple, but the UV pattern is still invisible. Why is that? Shouldn't the UV pattern still be apparent on at least one of the flowers, just in a different color? And on some other flowers, the UV does appear as a different color. So:    Why is the UV invisible only sometimes?  Does it have to do with the flower using iridescent structures to produce color, instead of a pigment? Can this happen with red and green, as well? How to find a computer name in a LAN from the IP address? My network includes machines running Linux and others running Windows. And my machine is running Linux. What is the reason Men play 5 sets & Women play 3 sets in a Grand Slam in Tennis? In the ATP &amp; WTA events, both Men &amp; Women tennis players play best of 3 sets. But when it comes to Grand Slams, the Men play 5 sets. At the risk of sounding a misogynist, I always believe the reason to be strength &amp; endurance. After all, a 5 set EPIC match lasts 5 hours while a 3 set EPIC last 3 hours.    Is that the only reason. Or am I a naive misogynist? Also was that the case since the history of Grand Slams or did Men play 3 sets before? Why can templates only be implemented in the header file? How to understand the drawbacks of K-means K-means is a widely used method in cluster analysis. In my understanding, this method does NOT require ANY assumptions, i.e., give me a dataset and a pre-specified number of clusters, k, and I just apply this algorithm which minimizes the sum of squared errors (SSE), the within cluster squared error.  So k-means is essentially an optimization problem.  I read some material about the drawbacks of k-means.  Most of them say that:   k-means assumes the variance of the distribution of each attribute (variable) is spherical;  all variables have the same variance; the prior probability for all k clusters is the same, i.e., each cluster has roughly equal number of observations;   If any one of these 3 assumptions are violated, then k-means will fail.  I could not understand the logic behind this statement. I think the k-means method makes essentially no assumptions, it just minimizes the SSE, so I cannot see the link between minimizing the SSE and those 3 "assumptions". obtain a three-term asymptotic solution How much electronics and other valuables can I bring duty-free when going to India? Is the set of all unitary matrices in $M_2(\mathbb{C})$ is compact? I can show that as determinant map is continuous so unitary matrices are closed but how to show they are bounded?   Please help. If "No One" uses a face from the Hall of Faces to become someone then how did he do this List partition labels from the command line Is there a command that will list all partitions along with their labels? sudo fdisk -l and sudo parted -l don't show labels by default.  EDIT: (as per comment below) I'm talking about ext2 labels - those that you can set in gparted upon partitioning.  EDIT2: The intent is to list unmounted partitions (so I know which one to mount). Why can't Inuzuka clan's dogs use human language? Imagine that you have the following list. keys = ['name', 'age', 'food'] values = ['Monty', 42, 'spam']  What is the simplest way to produce the following dictionary? a_dict = {'name': 'Monty', 'age': 42, 'food': 'spam'} How to setup OpenVPN Client How can I increase the mouse pointer speed beyond the limits set by the Mouse preferences dialog? In the Mouse preferences dialog I've set the acceleration to max and the sensitivity to min and the mouse pointer is not exactly sluggish, but I'd like to make it even faster. Is it possible to be done by setting some value in the procfs or something?  Thanks! I want to use do-release-upgrade to upgrade from 18.04 to 20.04, but I can't do that do-release-upgrade Checking for a new Ubuntu release There is no development version of an LTS available.  It seems that  is used, and it still points to 18.04. Do you know when (or how?) can I upgrade to 20.04? 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