Very weak lower bound for TREE 3.
Where does TREE(n) sit on the Fast Growing Hierarchy?
Pluralizing Noun Phrase? Bottom to top explanation of the Mahalanobis distance? Why don't I have the right to create a text file in my root directory? What is the current URL to create a new Google Document please? Since Google last updated their Docs the old URL does not work. I'm writing a tool to report information about .NET applications deployed across environments and regions within my client's systems.  I'd like to read the values of assembly attributes in these assemblies.  This can be achieved using Assembly.ReflectionOnlyLoad, however even this approach keeps the assembly loaded.  The issue here is that I cannot load two assemblies that have the same name from different paths, so naturally I can't compare the same application deployed in different systems.  At this point I'm assuming the solution will involve using temporary AppDomains.  Can someone detail how to load an assembly into another AppDomain, read the attributes from it and then unload the AppDomain?  This needs to work for assemblies on the file system as well as those at URL addresses. Why doesn't hydrogen gas exist in Earth's atmosphere? The root mean square velocity of hydrogen gas at room temperature is: Gas constant: $R=8.31\ \mathrm{J\ K^{-1}\ mol^{-1}}$ Molar mass of hydrogen gas: $M=2.02\times10^{-3}\ \mathrm{kg/mol}$ $$\begin{align} v &amp;= \left(\frac{3\times8.31\ \mathrm{J\ K^{-1}\ mol^{-1}}\times300}{2.02\times10^{-3}\ \mathrm{kg/mol}}\right)^{\frac12}\\ &amp;= 3356.8377\ \mathrm{m/s}\\ &amp;= 3.356\ \mathrm{km/s} \end{align}$$ The escape speed of Earth is $11.2\ \mathrm{km/s}$, which is larger than the root mean square velocity of hydrogen gas. But still, hydrogen gas doesn't exist in Earth's atmosphere. Why? Have I made any mistakes in my calculations? Let $n \in ℕ$. Show that the ring $ℤ/nℤ$ is a field if and only if $n$   is prime.   Let $n$ prime. I need to show that if $\bar{a} \neq 0$ then $∃\bar b: \bar{a} \cdot \bar{b} = \bar{1}$. Any hints for this ?  Suppose $ℤ/nℤ$ is a field. Therefore: for every $\bar{a} \neq 0$ $∃\bar b: \bar{a}\cdot \bar{b}=1$. How can I show that $n$ must be prime ? My windows directory is huge Create ColorRamp How can I create a ColorRamp for a Cycles material through Python?  I am able to create a new shader output node with nodes.new(type='ShaderNodeOutputMaterial'). Searching online, I see that it is only possible through C code (however, these pages dates back several years).  Is there a way to fake a ColorRamp (maybe with multiple Math nodes in greater/less than mode) or create a ColorRamp for a Cycles material through Python? I'm on IBM AIX 7.1 where cURL and wget are not available. Also, I'm not in a position to install either.  Are there alternatives that would be available that would enable remote API calls using GET/POST? Can a multi-class Bard/Wizard write spells known from Bard, into Wizard spellbook? Using local OpenStreetMap (*.OSM) map with Openlayers 3? What do I need to load a .OSM map in a client side javascript app? (Imagine an offline webapp). Getting an error while trying to script it, specifically "Cannot use VB for services."  Snippet and VB code block as follows:  Raw block (works within ArcMap): "\ftp\raw\YYYYMMDD\Files\Charles" +[NAME]+".ntf"  Snippet:      date = '"20160207"'      arcpy.CalculateField_management(outShp, "Link", '"\\\\ftp\\raw\\"' + date + '"files"' + "[NAME]"+ '".shp"', "VB", "")   Not sure what the issue is, somehow need to be able to insert the date and have it syntactically be correct (in either VB or python).  I didn't explain very well I have a column that contains a portion that is part of the hyperlink, so need to concatenate A column to the end of B column (with the partial path) to complete the link future or present with when I just would like to know if this sentence would be grammatically correct and in which cases should I use it:  I don't know when he is back instead of he will be back . I know the rule with when "no will" in most cases but we can say" please let me know when it will be available or when it is available"  If that's not correct let me know why please How to tell if a certain item is in a player inventory? I am trying to create a challenge world where a certain item (e.g. a Netherite Sword) must be collected. How can I check automatically if a player has it (using commands), and then congratulate the winner? This question is specific to Bedrock Edition 1.16. I have tried other solutions so many times and they don't seem to work. See also: Server 2008 Net Send or Msg? I have a Windows 2008 server running as a domain controller. The details are as follows:  Domain: corp Server Name: oxygen   The workstations are all running Windows XP SP3 and have fixed IP addresses.  I am trying to use the net send functionality to be able to send simple messages to either individual machines/users and also to all machines. This is so I can send a message to a user to alert them about something, or likewise alert everyone of something such as the server being rebooted.  Is this possible using Windows Server 2008? If so, what would the command be? How does the admissions process work for Ph.D. programs in the US, particularly for weak or borderline students? When applying to a PhD program in the US, how does the admissions process work? If an applicant is weak in a particular area, is it possible to offset that by being strong in a different area?  Note that this question originated from this . Please feel free to edit the question to improve it. To select a child node in jQuery one can use children() but also find().   For example:  $(this).children('.foo');  gives the same result as:  $(this).find('.foo');  Now, which option is fastest or preferred and why? I'm considering buying a subscription to Minecraft Realms (on PC) as a gift for somebody I know. Mojang doesn't have a gift option, and I don't want to spoil the surprise, so I was thinking I'd just buy it myself and give them access.   If I do this, will the recipient be able to turn around and invite their own friends? Can I grant them "admin" access to the server? I've already taken my calculus sequence and I'm interested in brushing up and staying sharp on the basics. So far, my calculus background is limited to single-variable calculus, which I applied in my physics sequence and engineering statistics. I learned a little bit of vector math in physics as well, but I'm not strong in it. My mathematical strengths lie in the discrete mathematics.  I'm particularly interested in studying for my IEEE Certified Software Development Associate exam - 10% of the exam is mathematics (calculus, differential equations, and statistics). Calculus is one of the mathematics knowledge areas that a software engineer should be competent in, so I'm looking for not only solidifying the courses that I've already taken, but moving forward with slightly more advanced topics, at an undergraduate mathematics level.  I'm currently using the textbook from my calculus sequence, but I'm interested to know what books other people used to learn calculus and if the book is potentially worth checking out.  What books are available to help me?