I got the question from one of the previous old exam sheets, but I couldn't be sure to determine it. Let $\alpha=\sqrt[3]2$ and $\epsilon=e^{\frac{2\pi i}{3}}$(a primitive third root of 1) and let $K=\Bbb{Q}[\alpha,\epsilon]$. Find the intermediate fields of the extension $K$ over $\Bbb{Q}$.
Given the galois extension $L/K$, where $L=\mathbb{Q}(\zeta, \sqrt[3]{2})$. I've already calculated that $[L:\mathbb{Q}]=6$. I'm trying to prove that the number of intermediate fields is also 6, including $L$ and $\mathbb{Q}$ as intermediate fields. I'm told that the fundamental theorem of galois theory can be useful here, but I can't find a use for it.
Deploy Community Builder audience page assignments with ant migration tool? I thought the new Apple font was called San Francisco, but I cannot find it in the font list of the Keynote.app for my Mac. Is it called another way or it is not available for Keynote?  I am currently using OS X El Capitan. Types of books or Types of book? can anybody tell me which one of these is the correct one? I have been searching all over the internet but I have still got no answer.  Types of books Types of book Double calculation producing odd result Adding parentheses around subfig references Say I have a figure with two subfloats inserted using the subfig package.  When I reference them with \ref{myLabel} I get this     Figure 3.5a and 3.5b.     But what I want is this:     Figure 3.5(a) and 3.5(b).   How can I add the parentheses? I would like to know the equipment and the step by step process, as I have already tried to do it, but it didn't work.  I have already watched several videos, but it is not the same to talk to someone that really loves, and knows how to do it. I don't know anybody that knows how to brew anything xD Transfer from JFK Terminal 2 to Terminal 4 I have family who does not speak English.  They are changing planes in JFK Airport and will most likely be transferring from Terminal 2 (Delta) to Terminal 4 (China Southern Airlines).  At first I thought that directing them to use the Airtrain would be best.  However, in doing more reading my understanding is that the Airtrain would mean they would need to go through security again.  I found this on Delta's site:   If they use the JITNEY Shuttle to change from Terminal 2 to Terminal 4, does that mean they would not need to re-clear Security?  Edit: They are flying TO China. They are going from Tampa -> NY JFK -> China. I have a Linux instance that I set up some time ago.  When I fire it up and log in as root there are some environment variables that I set up but I can't remember or find where they came from.     I've checked ~/.bash_profile, /etc/.bash_rc, and all the startup scripts.  I've run find and grep to no avail.   I feel like I must be forgetting to look in some place obvious. Is there a trick for figuring this out? Was Luke aware the Emperor was a Sith Lord? Similar to , I'm asking the more specific question, was Luke aware that the Emperor was a Sith Lord? I don't recall it being mentioned in any of the films.  If yes, at what point does he learn this? If not why did Yoda or Obi-Wan not warn him?  Perhaps he could have avoided being defenseless and struck by Force Lightning if he'd been made aware? How can multithreading speed up an application (when threads can't run concurrently)? Can anybody explain the UNABLE_TO_LOCK_ROW error? Error Message:     Developer script exception from Nicomatic : quotepotential :   quotepotential: execution of AfterUpdate caused by:   System.DmlException: Update failed. First exception on row 0 with id   a0Q90000005PoxtEAC; first error: UNABLE_TO_LOCK_ROW, unable to obtain   exclusive access to this record: [] Trigger.quotepotential: line 14,   column 1      Apex script unhandled trigger exception by user/organization:   00590000001A6jh/00D90000000bovq      quotepotential: execution of AfterUpdate      caused by: System.DmlException: Update failed. First exception on row   0 with id a0Q90000005PoxtEAC; first error: UNABLE_TO_LOCK_ROW, unable   to obtain exclusive access to this record: []      Trigger.quotepotential: line 14, column 1   these mails are getting to my mail..........  trigger quotepotential on Quote_Line_Item__c (after insert,after update) {     Set&lt;Id&gt; quoteIds = new Set&lt;Id&gt;();     List&lt;Quote__c&gt; quotes = new List&lt;Quote__c&gt;();     for (Quote_Line_Item__c record: Trigger.new) {         if (record.Quote1__c != null){             quoteIds.add(record.Quote1__c);         }     }     for(AggregateResult ar:[                 SELECT                      Quote1__c,                      SUM(Max_Batch__c)sumMax                  FROM Quote_Line_Item__c                  WHERE Quote1__c=:quoteIds                  GROUP BY Quote1__c                 ]) {          quotes.add(new Quote__c(              Id=(Id) ar.get('Quote1__c'),              Potential__c = (Decimal) ar.get('sumMax')              ));     }     if (quotes.isempty() == false) {         update quotes;     } } How can an uneducated but rational person differentiate between science and religion? I recently found myself unable to respond to the statement "But the big bang theory is just another creation myth!" during a science vs. religion argument. I found it very difficult to explain the difference between the big bang theory and creation myths without going through a crash course in Newtonian and then Relativistic mechanics.   This had me thinking of the following scenario: Consider a person who for various reasons never got a formal education beyond basic reading and writing. He/She doesn't know any science or math, and was never exposed to any scientific reasoning and experiments. She/He is however an open minded, level headed, and rational person (I've met more than one such person myself).   How would such a person differentiate science from religion? As far as he/she is concerned science has the exact same structure as religion:    A hard to understand scripture: Science treatises and journal papers.  An ordained clergy with a high entry barrier: Doctors, professors, scientists, etc... Seemingly arbitrary injunctions against certain behaviors: "Don't smoke", "Don't pollute",.... Various metaphysical (from his/her perspective) claims about the world around us: The big bang, other galaxies, blackholes, quarks,... Organizations which control and oversee doctrine: The FDA, The NIH, The NFS,...   From his/her perspective, all of these characteristics are no different than the way organized religion presents itself as being the source of truths about the world.   In particular if such a person were to heed the advice of the :         Do not go upon what has been acquired by repeated hearing (anussava),   nor upon tradition (paramparā),   nor upon rumor (itikirā),   nor upon what is in a scripture (piṭaka-sampadāna)   nor upon surmise (takka-hetu),   nor upon an axiom (naya-hetu),   nor upon specious reasoning (ākāra-parivitakka),   nor upon a bias towards a notion that has been pondered over (diṭṭhi-nijjhān-akkh-antiyā),   nor upon another's seeming ability (bhabba-rūpatāya),   nor upon the consideration, The monk is our teacher (samaṇo no garū) Kalamas, when you yourselves know: "These things are good; these   things are not blamable; these things are praised by the wise;   undertaken and observed, these things lead to benefit and happiness,"   enter on and abide in them.'      Following the Buddha's advice (ironically himself a religious figure), such a rational but uneducated person would have just as much reason to doubt the various results of scientists as to doubt the dogmas of organized religion.    How would it be possible for such a person to distinguish scientific facts from religious dogma?  How can we convince such a person of the validity of ideas like those of modern cosmology or evolutionary biology, without first having to teach them enough biology and physics to understand those concepts? Has Marvel commented on the extra Infinity Gauntlet? Way back in Thor, there was an Easter Egg Infinity Gauntlet in Odin's vault.  They even  that year to show it off.  Presently in the Marvel Cinematic Universe, they're clearly building to an Infinity Gauntlet story, and they've shown several Infinity Stones out in the universe.  The Infinity Stones are clearly not all sitting in Odin's vault, on a gauntlet.  Has Marvel commented on this issue at all in interviews?  Has the gauntlet been retconned into being some other gauntlet, or some other piece of the Infinity Gauntlet puzzle? Looking for an appropriate English name to replace my Chinese name Background: I am Chinese, and after living abroad from China for several years, I realize that I need an English name anyway. I’ve seen too many confused faces looking at my Chinese name. My Chinese Name: I am male, my Chinese first name is (IPA): /ʃəʊ/-/dəʊ/, and my family name is: /dʒi/. (Check ipa-reader.xyz if not clear.) Any advice about what could be a good idea of a first name, if the last name sounds like &quot;G&quot;? Something about myself: I'm a introvert, nerdy person. I don't like social, small talk, public area. I enjoy programming, writing, arguing. Physically I am short, slim, with a huge glasses. Is there any differences between      Try to do   And     Try doing   Thank you in advence. I am performing a meta-analysis with 137 study arms. From each arm I have extracted a proportion of a disease. Here are my proportions:  [1] 0.002710027 0.000000000 0.000000000 0.000000000 0.017857143 0.000000000 0.010269576 0.000000000 0.000000000 0.000000000 0.000000000  [12] 0.010000000 0.053691275 0.052631579 0.070351759 0.000000000 0.108333333 0.262626263 0.013043478 0.000000000 0.007000000 0.000000000  [23] 0.000000000 0.000000000 0.240000000 0.000000000 0.033333333 0.000000000 0.000000000 0.000000000 0.000000000 0.013201320 0.000000000  [34] 0.005361930 0.002308403 0.000000000 0.000000000 0.000000000 0.030000000 0.046296296 0.000000000 0.020000000 0.045454545 0.161073826  [45] 0.000000000 0.000000000 0.000000000 0.095238095 0.007194245 0.001472754 0.000000000 0.000000000 0.000000000 0.000000000 0.012048193  [56] 0.000000000 0.048780488 0.000000000 0.086253369 0.033898305 0.011966701 0.004162331 0.062790698 0.005555556 0.004451039 0.287356322  [67] 0.083333333 0.000000000 0.000000000 0.014666667 0.006160164 0.023809524 0.000000000 0.000000000 0.000000000 0.001552795 0.102564103  [78] 0.030555556 0.000000000 0.000000000 0.000000000 0.000000000 0.029411765 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000  [89] 0.003231018 0.000000000 0.037500000 0.040247678 0.000000000 0.000000000 0.007299270 0.014598540 0.000000000 0.015118790 0.000000000 [100] 0.000000000 0.005555556 0.000000000 0.000000000 0.000000000 0.003039514 0.042145594 0.250000000 0.307692308 0.324444444 0.002057613 [111] 0.008333333 0.000000000 0.027522936 0.022598870 0.000000000 0.000000000 0.000000000 0.135278515 0.033333333 0.000000000 0.000000000 [122] 0.003690037 0.003412969 0.000000000 0.017391304 0.004237288 0.033210332 0.000000000 0.008928571 0.038834951 0.030303030 0.142857143 [133] 0.170000000 0.000000000 0.112903226 0.000000000 0.007299270   A majority of the proportions has zero value. I am struggling with whether I should go for logit or arcsine transformation. One source says that arcsine transformation should not be used . On the other hand, I several zero counts. With logit transformation values 0 and 1 are mapped to infinity, and according to another source I should go with arcsine transformation . Furthermore, I found another study close to my topic in which they used arcsine transformation. The default in R with metaprop function is logit.   Which one I should go with my data? Why does the Cauchy distribution have no mean? Query without having to specify table's schema I imported a bunch of tables from SQL Server 2000 to my 2008 database. All the imported tables are prefixed with my username eg: erpadmin.tablename.  In the table properties it lists 'erpadmin' as the db schema. When I write a query I now have to include 'erpadmin.' in front of all the table names which is confusing.  Current result:  select * from erpadmin.tablename   Desired result:  select * from  tablename How to overlay images I want to overlay one image with another using CSS. An example of this is the first image (the background if you like) will be a thumbnail link of a product, with the link opening a lightbox / popup showing a larger version of the image.   On top of this linked image I would like an image of a magnifying glass, to show people that the image can be clicked to enlarge it (apparently this isn't obvious without the magnifying glass). How do I connect to a MySQL database using a python program?