I've noticed some authors of academic pieces tend to put square brackets around a T when starting a quote, I don't understand why.     "[T]he Organization is based on the principle of the   sovereign equality of all its Members."   Thanks!
What does the bracketed capital letter indicate in the revised version below? Is it essential, per the rules of proper punctuation, to do so? Are the ellipsis points (i.e., the spacing of the dots) spot on in that sentence to indicate the omission of one or more sentences?  Original quotation  "It need hardly be said that shortness is a merit in words. There are often reasons why shortness is not possible; much less often there are occasions when length, not shortness, is desirable. But it is a general truth that the short words are not only handier to use, but more possible in effect; extra syllables reduce, not increase, vigor."  Revised quotation  "It need hardly be said that shortness is a merit in words. . . . [S]hort words are not only handier to use, but more possible in effect; extra syllables reduce, not increase, vigor."  Thank you.
This is the proof, which I mostly understand except for one bit:  You have $h_1 \in H_1$ and $h_2 \in H_2$.   We also have $h_1^{-1}(h_2^{-1}h_1h_2) \in H_1$, because $h_2^{-1}h_1h_2 \in h_2^{-1}H_1h_2 = H_1$. Similarly, we have $(h_1^{-1}h_2^{-1}h_1)h_2 \in H_2$. Therefore  $$ h_1^{-1}h_2^{-1}h_1h_2 \in H_1 \cap H_2 = \{1_G\} $$  and so $h_1^{-1}h_2^{-1}h_1h_2 = \{1_G\}$. Let's first multiply everything on the left by $h_1$  $$h_1^{-1}h_2^{-1}h_1h_2 = \{1_G\}$$ $$ h_1 h_1^{-1}h_2^{-1}h_1h_2 = h_1 \{1_G\}$$ $$ h_2^{-1}h_1h_2 = h_1 \{1_G\}$$   Multiply both sides on the left by $h_2$ giving us  $$ h_1h_2 = h_2 h_1 $$  The bit I don't get is right at the beginning. Why is this correct: "We also have $h_1^{-1}(h_2^{-1}h_1h_2) \in H_1$, because $h_2^{-1}h_1h_2 \in h_2^{-1}H_1h_2 = H_1$." I'm trying to insert data from an external table. INSERT /*+ ignore_row_on_dupkey_index ( consruct ( construct_id ) ) */ INTO construct        (construct_id,       n_term ,       enz_name,       c_term,       cpp,       mutations,       mw_kda) SELECT *     FROM EXTERNAL ((       construct_id NUMBER(10),       n_term VARCHAR2 (50),       enz_name VARCHAR2 (50),       c_term VARCHAR2 (50),       cpp VARCHAR2 (50),       mutations VARCHAR2 (50),       mw_kda NUMBER (7,3))      TYPE ORACLE_LOADER     DEFAULT DIRECTORY data_to_input     ACCESS PARAMETERS (         RECORDS DELIMITED BY NEWLINE         SKIP 1         BADFILE bad_files:'badflie_insert_into_construct_from_construct.bad'         FIELDS TERMINATED BY ',' OPTIONALLY ENCLOSED BY '&quot;'         MISSING FIELD VALUES ARE NULL          )      LOCATION ('CONSTRUCT.CSV')     REJECT LIMIT UNLIMITED) ext          WHERE NOT EXISTS (         SELECT * FROM construct c         WHERE c.n_term = ext.n_term         AND c.enz_name = ext.enz_name         AND c.c_term = ext.c_term         AND c.cpp = ext.cpp         AND c.mutations = ext.mutations     );  But now i get this error: Error at Command Line : 171 Column : 7 Error report - SQL Error: ORA-00957: duplicate column name 00957. 00000 -  &quot;duplicate column name&quot;  Line 171 is the last line of this part INSERT /*+ ignore_row_on_dupkey_index ( consruct ( construct_id ) ) */ INTO construct        (construct_id,       n_term ,       enz_name,       c_term,       cpp,       mutations,       mw_kda)  Which is clearly not a duplicate column. If I do: INSERT /*+ ignore_row_on_dupkey_index ( consruct ( construct_id ) ) */ INTO construct      (construct_id,      n_term,      enz_name,      c_term,      cpp,      mutations,      mw_kda) SELECT *     FROM EXTERNAL ((       ext.construct_id NUMBER (10),       ext.n_term VARCHAR2 (50),       ext.enz_name VARCHAR2 (50),       ext.c_term VARCHAR2 (50),       ext.cpp VARCHAR2 (50),       ext.mutations VARCHAR2 (50),       ext.mw_kda NUMBER (7,3))      TYPE ORACLE_LOADER     DEFAULT DIRECTORY data_to_input     ACCESS PARAMETERS (         RECORDS DELIMITED BY NEWLINE         SKIP 1         BADFILE bad_files:'badflie_insert_into_construct_from_construct.bad'         FIELDS TERMINATED BY ',' OPTIONALLY ENCLOSED BY '&quot;'         MISSING FIELD VALUES ARE NULL          )      LOCATION ('CONSTRUCT.CSV')     REJECT LIMIT UNLIMITED) ext          WHERE NOT EXISTS (         SELECT * FROM construct c         WHERE c.n_term = ext.n_term         AND c.enz_name = ext.enz_name         AND c.c_term = ext.c_term         AND c.cpp = ext.cpp         AND c.mutations = ext.mutations     );  I get Error at Command Line : 174 Column : 10 Error report - SQL Error: ORA-00902: invalid datatype 00902. 00000 -  &quot;invalid datatype&quot;  Line 171 is ext.construct_id NUMBER (10), We know that if you (using Polyjuice), take the form of someone who had been injured, you assume that injured form (e.g. Barty/Moody). If you are injured, presumably you would be uninjured while under Polyjuice. My question is, is this in real-time? That is, if you take a Polyjuice, and while you're still under its effects, the person being transformed into gets injured (or even dies), will that injury be transferred onto you? And conversely, if you get injured while in someone else's body, will that transfer over to your real body after the Polyjuice wears off, will it disappear, or will it go to the person you turned into? Logical Volume, Physical Volume and Volume Groups How do I enforce a password complexity policy? Get Source Code from an .apk file? Lookup Tables Best Practices: DB Tables... or Enumerations If we have to store the available positions at a company (i.e. Manager, Team Lead, ... etc). What are the best practices for storing it? I have two opinions with comments... "sure, welcoming yours"        Storing it as DB table with columns ID and Name, and deal with it using queries and joins.     Storing it as Enum and forget about the DB table.    In my opinion, I will choose the first solution if I have changing items. So that I won't hard code these options as Enum. I may choose the Enum solution, if I have no doubt that data won't change (for example, Gender: Male, Female).  NOTE: I code in English, and the UI Culture may be Arabic. If I will work with the Enum Solution, I will hard code the culture-based strings in the presentation layer, is it okay from the best practices perspective!!!!  I would like to know your opinions and if my thoughts correspond to what is most recommended "Best Practices"?? I want to make some changes to Windows that require using the Group Policy Editor (gpedit.msc).  Unfortunately the Group Policy Editor is not included with the Starter Edition, Home and Home Premium editions of Windows.  How can I install it? I am not a administrator and I would like to find the administrator password. I would not like to reset it however. Is there anyway to find and not reset the administrator password? "Was" or "were" for "half a dozen" In Microsoft Word, the following sentence is flagged.  It tells me to use "was" instead of "were"     There were half a dozen books strewn about the floor.   I would think that you would use "were" since it's a quantity more than one.  You wouldn't say, "There was twelve books strewn about the floor."  Does the use of the "half" modify it somehow? Counting the Lotto number draws which contain consecutive numbers How can I make something that looks like this?  --------   Text   ---------  where the horizontal rules extend to the margin on either side? Is there any way to add if elif and else in drivers?  Given the way we do if and else, here are two examples out of few other things i tried to get the statement right but unable to do so:  var-3.5 if (var&lt;0) var+3.5 elif (var&gt;0) else 1  var-3.5 if (var&lt;0) elif var+3.5 (var&gt;0) else 1   And also if there's any other way to add multiple if/else similarly? Google chrome is reading characters backwards Google Chrome is my favorite browser, and I can't imagine going on without it. Suddenly (without closing and re-opening) the browser; chrome has been reading characters upside down, very weird:    Chrome version:    I tried restarting my browser and my MAC (running OS X Yosemite 10.10), but the error keeps on coming. Optimal estimation of a single parameter given data at different scales Let $A,B,C,D$ be independent normal random variables distributed according to $\mathcal{N}(0,\sigma^2)$ and $E = A+B+C+D$.  The goal is to provide an optimal estimate of $\sigma^2$ given samples of $A,B,E$ but not $C,D$.  In this case optimal refers to minimising the root-mean square deviation of the estimate $\hat{\sigma}^2$:  $$RMSD(\hat{\sigma}^2) = \sqrt{\mathbb{E}\left[\left(\hat{\sigma}^2-\sigma^2\right)^2\right]}$$  I can think of a simple approach to estimate $\sigma^2$ given samples of $A,B$ which is to simply compute the sample variance. Also I know that the variance of $E$ is $4\sigma^2$ so I could compute the sample variance of $E$ and divide it by 4 to get an estimate of $\sigma^2$. However it should be possible to combine the information from both $E$ and $A,B$ to improve estimation $\sigma^2$. Could you outline the approach to use both sets of information? When does SQLiteOpenHelper onCreate() / onUpgrade() run? Estimator for $\theta$ using the method of moments Exercise :     Using the method of moments, find the estimator for $\theta$ for a random sample $X_1, \dots, X_n$ that follows the distribution with pdf $f(x) = \theta x^{-2}, \; 0 &lt; \theta \leq x &lt; \infty$, where $\theta$ is the unknown parameter.   Attempt :  $$m_1' = \bar{X}$$  $$μ_1' = \int_\theta^xu\theta u^{-2}\mathrm{d}u=\int_\theta^x\theta u^{-1}\mathrm{d}u=\big[\theta \ln u\big]_\theta^x =\theta\ln x - \theta\ln\theta$$  Thus, the estimator is given by :  $$m_1' = μ_1' \Rightarrow \theta\ln x - \theta\ln\theta = \bar{X}$$  But we cannot solve that equation with respect to $\theta$, so we'll take the moments of bigger order :  $$m_2' = \frac{1}{n}\sum_{i=1}^nX_i^2$$ $$μ_2' = \int_\theta^x u^2 \theta u^{-2} \mathrm{d}u = \int_\theta^x \theta \mathrm{d}u = \big[\theta u\big]_\theta^x =\theta x - \theta ^2 $$  Thus the solution of the following quadratic equation for $\theta &gt;0$, gives as the estimator of $\theta$ :  $$\theta^2-x\theta +\frac{1}{n}\sum_{i=1}^nX_i^2$$  Question : Is my solution correct ? Shall the upper bound be $x$ or $\infty$ ? Installing Office 2010 on Ubuntu 15.04 using Wine I had installed Office 2010 32bit on Ubuntu 12.04 before using guides such as . However, due to package changes, I was not able to replicate the same on Ubuntu 15.04.  How does one install Office 10 using Wine? PostgreSQL, SELECT from max id From the spell description:     Sleep (...) Creatures within 20 feet of a point you choose within range are affected in ascending order of their current hit points (ignoring unconscious creatures). Starting with the creature that has the lowest current hit points,(...) Subtract each creature’s hit points from the total before moving on to the creature with the next lowest hit points. A creature’s hit points must be equal to or less than the remaining total for that creature   to be affected. Undead and creatures immune to being charmed aren’t affected by this spell. (PH p.276)   Now, to build the ascending order of their current hitpoints, the spell instructs to count everyone in area of effect, but only ignore unconscous creatures. Then later on it says that Undead and creatures immune to being charmed aren't affected.  Are those two latter kinds of creatures excluded from the roll of current HP by default? Following the "if they were it would say so" philosophy of Sage Advice, it doesn't seem so to me.