Name of a special multivariate polynomial: each varaible appears alone Is there a name for such multivariate polynomial where each varaible appears alone. For example:  $P(x,y,z)=x+x^2+3x^3+y+5y^2+z +2$  So as it can be seen there is no terms in the polynomial  where the variables are multiplied by each other like  $xy$ or  $xz^2$ for instance.
Multivariate polynomial with no mixed terms Is there a standard name for multivariate polynomials wherein each term consists of only one coordinate? That is, polynomials of this form: $$p(x_1, \ldots, x_n)= \sum_{i=1}^n \sum_{j=1}^n a_{i,j}x_i^{j}$$ where all of the $a_{i,j}$ are constants.
Can non basic lands be tapped for colorless mana? For example,  has a mana fixing ability, but it doesn't say you can tap it for mana. Other non-basic lands have a mana ability listed on the card. Should I assume that Evolving Winds cannot be tapped for mana?  Basic lands don't have mana tapping abilities listed, but are assumed you can tap them for mana of the color they represent. Reset Windows 10 from USB I am trying to make a snowball that triggers a command when it hits a player in 1.15, but I don't know how to do that. When I do execute at @e[type=snowball] run gamemode spectator @a[distance=..2] it only runs the command if it goes right next to them. Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument I want to prove that the set of all real functions $\mathbb{R}^\mathbb{R}$ has a higher cardinality than the real numbers $\mathbb R$, by Cantor's diagonal argument.  I'm having difficulties with approaching this problem.  What I'm looking for is a hint in the right direction.  I've seen an example where it is shown that the power set $2^S$ of a countable set $S$ is uncountable, by the diagonal argument. Is there a limit to a total number of months a holder of UK multiple entry visitor visa can spend in UK per calendar year? A relative of mine has received a multiple-entry UK visa for 2 years. Is there a particular limit on how many months in total per year she can stay in UK? The way I understand the current rule is that such visitors can enter UK as many times as they want as long as they do not stay for longer than 6 months per single visit. However, does this mean that if she stayed with us for 5 months and went back home for 1-2 months, she could come and stay for another 5 months? I heard that it is advisable to spend only 180 day per calendar year in UK and not more, but I could not find that rule in any official UK Home Office documents. Thanks in advance for any info about this. I'm playing around, trying to write some code to use the  APIs to shorten a URL.  After reading , I tried:     TRIM_API_URL = 'http://api.tr.im/api'    auth_handler = urllib2.HTTPBasicAuthHandler()    auth_handler.add_password(realm='tr.im',                              uri=TRIM_API_URL,                              user=USERNAME,                              passwd=PASSWORD)    opener = urllib2.build_opener(auth_handler)    urllib2.install_opener(opener)    response = urllib2.urlopen('%s/trim_simple?url=%s'                               % (TRIM_API_URL, url_to_trim))    url = response.read().strip()   response.code is 200 (I think it should be 202).  url is valid, but the basic HTTP authentication doesn't seem to have worked, because the shortened URL isn't in my list of URLs (at ).  After reading  I also tried:     TRIM_API_URL = 'api.tr.im/api'    password_mgr = urllib2.HTTPPasswordMgrWithDefaultRealm()    password_mgr.add_password(None, TRIM_API_URL, USERNAME, PASSWORD)    auth_handler = urllib2.HTTPBasicAuthHandler(password_mgr)    opener = urllib2.build_opener(auth_handler)    urllib2.install_opener(opener)    response = urllib2.urlopen('http://%s/trim_simple?url=%s'                               % (TRIM_API_URL, url_to_trim))    url = response.read().strip()   But I get the same results.  (response.code is 200 and url is valid, but not recorded in my account at .)  If I use query string parameters instead of basic HTTP authentication, like this:     TRIM_API_URL = 'http://api.tr.im/api'    response = urllib2.urlopen('%s/trim_simple?url=%s&amp;username=%s&amp;password=%s'                               % (TRIM_API_URL,                                  url_to_trim,                                  USERNAME,                                  PASSWORD))    url = response.read().strip()   ...then not only is url valid but it's recorded in my tr.im account. (Though response.code is still 200.)  There must be something wrong with my code though (and not tr.im's API), because  $ curl -u yacitus:xxxx http://api.tr.im/api/trim_url.json?url=http://www.google.co.uk   ...returns:  {"trimpath":"hfhb","reference":"nH45bftZDWOX0QpVojeDbOvPDnaRaJ","trimmed":"11\/03\/2009","destination":"http:\/\/www.google.co.uk\/","trim_path":"hfhb","domain":"google.co.uk","url":"http:\/\/tr.im\/hfhb","visits":0,"status":{"result":"OK","code":"200","message":"tr.im URL Added."},"date_time":"2009-03-11T10:15:35-04:00"}   ...and the URL does appear in my list of URLs on .  And if I run:  $ curl -u yacitus:xxxx http://api.tr.im/api/trim_url.json?url=http://www.google.co.uk   ...again, I get:  {"trimpath":"hfhb","reference":"nH45bftZDWOX0QpVojeDbOvPDnaRaJ","trimmed":"11\/03\/2009","destination":"http:\/\/www.google.co.uk\/","trim_path":"hfhb","domain":"google.co.uk","url":"http:\/\/tr.im\/hfhb","visits":0,"status":{"result":"OK","code":"201","message":"tr.im URL Already Created [yacitus]."},"date_time":"2009-03-11T10:15:35-04:00"}   Note code is 201, and message is "tr.im URL Already Created [yacitus]."  I must not be doing the basic HTTP authentication correctly (in either attempt).  Can you spot my problem?  Perhaps I should look and see what's being sent over the wire?  I've never done that before.  Are there Python APIs I can use (perhaps in pdb)?  Or is there another tool (preferably for Mac OS X) I can use? What does 'super' do in Python? - difference between super().__init__() and explicit superclass __init__() What's the difference between:  class Child(SomeBaseClass):     def __init__(self):         super(Child, self).__init__()   and:  class Child(SomeBaseClass):     def __init__(self):         SomeBaseClass.__init__(self)   I've seen super being used quite a lot in classes with only single inheritance. I can see why you'd use it in multiple inheritance but am unclear as to what the advantages are of using it in this kind of situation. When did 5 foot squares become standard in D&D? What spell almost killed Hermione in The Order of the Phoenix? The spell was cast without words, simply a flick of the Death Eater's wand, and a 'streak of purple flame' that lanced across her chest. It was later mentioned that the spell was weakened because of the lack of a verbal component, but still 'did enough damage as it was'. She was in the infirmary healing from the damage for some time. What spell was this? Is the size of a Form in Visual Studio designer limited to screen resolution? In almost every canon (that is, visual) source, Force users typically wave a hand to invoke the Force to move or manipulate objects, people and thoughts. I get out-of-universe this is a visual cue that the Force is being used, but in-universe is it strictly necessary?  (The only exception I can think of is when Luke is training on Dagobah and is balancing rocks while standing on one hand with Yoda on his foot. He doesn't appear to be waving his hand to move the rocks.)  Is this addressed anywhere in-universe, even in Legends? How do I enable the "partner" repository? I keep seeing places refer to the "partner" repository as a place I can get software, how can I enable this repository? Please specify how to do this graphically and via command line. Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals May I please ask how to show the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals?  (i.e. Show that $(\Bbb{R}[X])^*$ and $\Bbb{R}^{∞}$ are isomorphic where $\Bbb{R}$ means the set of all reals) Ubuntu boots from USB but get GRUB rescue after installation I can boot Ubuntu from USB, but when I took the USB stick out of the laptop and booted again, I got an error saying   Error: unknown filesystem. grub rescue&gt;   What can I do to fix this? Can anyone provide some pseudo code for a roulette selection function? How would I implement this:    I don't really understand how to read this math notation. I never took any probability or statistics. Does flying to Panama from the US reset the ESTA time counter? How do I set environment variables? I'm trying to set up Apache Tomcat on my pc, and it wants me to set up an environment variable for CATALINA_HOME.  Does any know how to do this? Best practices for managing and deploying large JavaScript apps What are some standard practices for managing a medium-large JavaScript application? My concerns are both speed for browser download and ease and maintainability of development.  Our JavaScript code is roughly "namespaced" as:  var Client = {    var1: '',    var2: '',     accounts: {       /* 100's of functions and variables */    },     orders: {       /* 100's of functions and variables and subsections */    }     /* etc, etc  for a couple hundred kb */ }   At the moment, we have one (unpacked, unstripped, highly readable) JavaScript file to handle all the business logic on the web application. In addition, there is jQuery and several jQuery extensions. The problem we face is that it takes forever to find anything in the JavaScript code and the browser still has a dozen files to download.  Is it common to have a handful of "source" JavaScript files that gets "compiled" into one final, compressed JavaScript file? Any other handy hints or best practices? How many Marvel Earths (Universes) are there? Session lost when switching from HTTP to HTTPS in PHP When sending the user to a checkout page, they are switched from http://sitename.com to https://sitename.com.  As a result, $_SESSION variables are lost.  The site has a valid SSL certificate which may or may not be of some use.