What statistical analysis? Three continuous independent variables w/ one categorical dependent
Ordinal dependent variable with continuous independent variables
What is the purpose of JNDI broadcast receiver for missed call in android Where can I write a temp file from ASP.NET? Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist? Does $1.0000000000\cdots 1$ (with  an infinite number of  $0$ in it) exist? Does editing still bump a question? Many times in the past I've edited a somewhat recent answer—say, from 30 minutes ago—and noticed that the concomitant question didn't bump to the top.  I just confirmed it with ; the question is currently sorted in the JavaScript page based on when it was asked, not my edit.  I've never made edits just to bump a question to whore rep—my original answer was wrong which was why I fixed it—but my understanding is that the CW self-edit trigger exists to prevent  edit-then-bump-then-score-rep—profit! activity.    If non-ancient edits no longer bump a question, should the self-edit CW trigger be brought inline with this?  Should an answer be made CW if you make 10 edits that actually bump the question?  and to avoid any implication of impropriety, I'm already capped on SO, so I'm not looking for any sort of "meta effect" on my answer Does "notified by [date]" include the end date? I have read the Rules of a competition. The text of the Rules include a sentence as follows:     As per stated in the Rules the entrants will be notified by May 30th 2010.   Does the sentence above mean that May 30th is included in the term of notification or not? I just notice it now as I am new to Illustrator.  When I am in RGB mode, blending transparency seems to be easier as mode such as Screen, Multiply or Overlay looks good naturally.  If I switch the document mode to CMYK then the image is getting messed up.  I'd like to know, if CMYK is not ideal for blending options? Given a real positive sequence $\{a_n\}$ such that $\sum_{i=1}^n a_i$ converges.  Prove that there exists a real sequence $\{c_n\}$ monotonically increasing to $\infty$ such that $\sum_{i=1}^\infty a_nc_n$ converges.  What I have done:  I have written $$\sum_{i=1}^{N+1}a_ic_i=c_{N+1}\sum_{i=1}^{N+1}a_i-\sum_{i=1}^N(c_{n+1}-c_n)S_n$$  and then try to prove the convergence by the Cauchy criterion. However my evaluation is still not good enough. I'm really stuck. How do I copy a string to the clipboard? How to load image to android and resize Prove the identity $\binom{2n+1}{0} + \binom{2n+1}{1} + \cdots + \binom{2n+1}{n} = 4^n$ I've worked out a proof, but I was wondering about alternate, possibly more elegant ways to prove the statement. This is my (hopefully correct) proof:  Starting from the identity $2^m = \sum_{k=0}^m \binom{m}{k}$ (easily derived from the binomial theorem), with $m = 2n$:  $2^{2n} = 4^n = \binom{2n}{0} + \binom{2n}{1} + \cdots + \binom{2n}{2n-1} + \binom{2n}{2n}$  Applying the property $\binom{m}{k} = \binom{m}{m-k}$ to the second half of the list of summands in RHS above:  $4^n = \binom{2n}{0} + \binom{2n}{1} + \cdots + \binom{2n}{n-1} + \binom{2n}{n} + \underbrace{\binom{2n}{n-1} +\cdots \binom{2n}{1} + \binom{2n}{0}}_{\binom{m}{k} = \binom{m}{m-k} \text{ has been applied}}$  Rearranging the above sum by alternately taking terms from the front and end of the summand list in RHS above (and introducing the term $\binom{2n}{-1} = 0$ at the beginning just to make explicit the pattern being developed):  $4^n = (\binom{2n}{-1} + \binom{2n}{0}) + (\binom{2n}{0} + \binom{2n}{1}) + \cdots + (\binom{2n}{n-1} + \binom{2n}{n})$  Finally, using the property $\binom{m}{k} + \binom{m}{k-1} = \binom{m+1}{k}$ on the paired summands, we get the desired result:  $4^n = \binom{2n+1}{0} + \binom{2n+1}{1} + \cdots + \binom{2n+1}{n}$ Error: mysqli_stmt::bind_param(): Number of elements in type definition string doesn't match number of bind variables I am running a query like   select id from students where school_id='67153fb1-8f79-441d-a747-ca3778cf6d3d';   on table that looks like                                      Table "public.students"           Column       |            Type             |             Modifiers                   -------------------+-----------------------------+------------------------------------      id                | uuid                        | not null default gen_random_uuid()      school_id        | uuid                        |  Indexes:     "students_pkey" PRIMARY KEY, btree (id)     "students_school_id_idx" btree (school_id)   The query plan for the select statement with just where looks like below-  explain select id from students where school_id='67153fb1-8f79-441d-a747-ca3778cf6d3d';                                             QUERY PLAN                                             --------------------------------------------------------------------------------------------------  Bitmap Heap Scan on students  (cost=581.83..83357.10 rows=24954 width=16)    Recheck Cond: (school_id = '67153fb1-8f79-441d-a747-ca3778cf6d3d'::uuid)    -&gt;  Bitmap Index Scan on students_school_id_idx  (cost=0.00..575.59 rows=24954 width=0)          Index Cond: (school_id = '67153fb1-8f79-441d-a747-ca3778cf6d3d'::uuid)   This is fairly fast.  Now we add order by to the query with id that degrades the query.(Such a query is generated by Rails like student.first with some condition)  explain select id from students where school_id='67153fb1-8f79-441d-a747-ca3778cf6d3d' order by id asc limit 1;                                                  QUERY PLAN                                                  ------------------------------------------------------------------------------------------------------------  Limit  (cost=0.43..488.51 rows=1 width=16)    -&gt;  Index Scan using students_pkey on students  (cost=0.43..12179370.22 rows=24954 width=16)          Filter: (school_id = '67153fb1-8f79-441d-a747-ca3778cf6d3d'::uuid)   How can I improve the speed to return the results of this query? Currently there are around 4990731 records in the table and is taking more than 2 minutes! Its running on RDS with db.t2.medium instance.  UPDATE After running Analyze students;  explain select id from students where school_id='67153fb1-8f79-441d-a747-ca3778cf6d3d' order by id asc limit 1;                                                        QUERY PLAN                                                         -----------------------------------------------------------------------------------------------------------------      Limit  (cost=8.46..8.46 rows=1 width=16)        -&gt;  Sort  (cost=8.46..8.46 rows=1 width=16)              Sort Key: id              -&gt;  Index Scan using students_school_id_idx on students  (cost=0.43..8.45 rows=1 width=16)                    Index Cond: (school_id = '67153fb1-8f79-441d-a747-ca3778cf6d3d'::uuid)      explain analyze select id from students where school_id='67153fb1-8f79-441d-a747-ca3778cf6d3d' order by id asc limit 1;                                                                           QUERY PLAN                                                                              -----------------------------------------------------------------------------------------------------------------------------------------------------------     Limit  (cost=8.46..8.46 rows=1 width=16) (actual time=1.853..1.855 rows=1 loops=1)      -&gt;  Sort  (cost=8.46..8.46 rows=1 width=16) (actual time=1.851..1.852 rows=1 loops=1)            Sort Key: id            Sort Method: quicksort  Memory: 25kB            -&gt;  Index Scan using students_school_id_idx on students  (cost=0.43..8.45 rows=1 width=16) (actual time=1.841..1.843 rows=1 loops=1)                  Index Cond: (school_id = '67153fb1-8f79-441d-a747-ca3778cf6d3d'::uuid)     Planning time: 0.145 ms     Execution time: 1.874 ms I'm trying to prove that if there are to numbers $n,m$ (natural numbers), and their smallest common multiple is $k$, so that $k = n·i$ and $k = m·j$ for some $i,j$ natural numbers, any common multiple $q$ of $n,m$ is a multiple of $k$, so that there exists a $g$ so that $q=k·g$.  Logically it seems correct, but I can't seem to prove it... Any help? So essentially does margin collapsing occur when you don't set any margin or padding or border to a given div element? How do I setup an encrypted swap file? When I installed Ubuntu, I setup an encrypted home partition. Now I have come to an issue where I am running out of memory because I haven't setup swap. How can I setup an encrypted swap file?  A couple of times while booting I've seen some reference to cryptswap. I've also got these lines contained in /etc/fstab  # swap was on /dev/sda6 during installation #UUID=1ba8a53b-1842-4de7-8e38-2d6c79f3a1ab none            swap    sw              0       0 /dev/mapper/cryptswap1 none swap sw 0 0 Using pre-compiled headers with CMake How to evaluate $\int_{0}^{\infty}\exp(-x^2-1/x^2)dx$? Question :  $$\int_{0}^{\infty}\exp(-x^2-1/x^2)dx=?$$  I think the answer is $\sqrt{ \pi/2 \cdot \exp(-2)}$  If I change $-x^2-1/x^2$ to $-(x-1/x)^2-2$ then the above integral becomes    $$\exp(-2)\int_{0}^{\infty} \exp(-(x-1/x)^2)dx$$   integral of $\exp(-x^2)dx$ from $0$ to infinity = square root of $\pi/2$, but then is the   integral of $\exp(-(x-1/x)^2)dx$ from $0$ to infinity=integral of $\exp(-x^2)dx$ from $0$ to infinity ? Crick’s Central Dogma — Counter Cases When referring to flash exposure, what does "max sync speed" mean?