JavaScript regular expression for decimal numbers
Learning Regular Expressions
What items are mutually exclusive between worlds? As of 1.2, some features are mutually exclusive between worlds.  In the case of ores at least, .  However, a  gives you the chance for a  (and the upgraded Sweetheart Necklace) which does not seem to have an equivalent version in the Corruption.    What items, if any, are truly mutually exclusive in function between worlds? Coefficient changes sign when adding a variable in logistic regression How do I match any character across multiple lines in a regular expression? For example, this regex  (.*)&lt;FooBar&gt;   will match:  abcde&lt;FooBar&gt;   But how do I get it to match across multiple lines?  abcde fghij&lt;FooBar&gt; Should I use single or double colon notation for pseudo-elements? Should I use "who" or "which" when referring to a specific animal species? I'd like to know what option to use, specifically when referring to a species by its scientific name. I was recently thinking what information do we get from a matrix. So if we say the columns (or rows) of a matrix define the basis of a system, say vectors of 3 dimensional space. Then the determinant will tell about the volume of the space enclosed by those vectors. Does trace give any information about the space? How to make use of Devel debugging functions on large or complex objects I am having trouble making real use of Devel's debugging functions kint() and dpm() in my modules and twig templates. They work fine for primitive variables, flat arrays and such, but if I want to inspect into some object like an EntityRerefenceFieldItemList they either cause the site to crash (white page) or generate so much data such that the scripts for expanding the list no longer work.  How do I circumvent these problems? How do you create product mock-ups? How to fetch the columns of the synonyms for linked servers in SQL server I am using two servers local (SQL Server running on my system) and remote (SQL Server running on another system). I have created synonyms in my local server for a table which is located on the remote server.  Synonym used- CREATE SYNONYM [dbo].[test] FOR remoteserver_name .[database_name].[schema_name].object_name  Requirement   I need to fetch the columns of the synonym.  I can retrieve the columns of the synonym using below query in SQL server.  select * from dbo.test   where  dbo is synonym created schema name (local server schema name) and test is synonym name.  I have tried to retrieve the columns of the synonyms using below query, but I cannot fetch the columns  SELECT sys.schemas.name   AS SCHEMA_NAME,        sys.synonyms.name  AS view_name,        sys.columns.name   AS COL_NAME,        sys.types.name     AS data_typename FROM   sys.columns        INNER JOIN sys.synonyms             ON  OBJECT_ID(sys.synonyms.base_object_name) = sys.columns.object_id        INNER JOIN sys.schemas             ON  sys.schemas.schema_id = sys.synonyms.schema_id        LEFT OUTER JOIN sys.types             ON  sys.columns.system_type_id = sys.types.system_type_id WHERE  sys.types.system_type_id = sys.types.user_type_id        AND sys.schemas.name = N'scehmaname'        AND sys.synonyms.name = N'synonymname'   Can you please suggest some other way to retrieve the columns of the synonym or correct the above query? Evolutionarily speaking, why do humans have 46 chromosomes Is smell a bad way of determining whether meat is still good? Adding Table to Layout View using ArcPy? I am using ArcGIS 10.1 and I have a non-spatial table and some layers in a Data Frame.   When I switch to Layout View I want to be able to show the map in a data frame element and the table in another element (something that one could do with "Add Table To Layout" from Table Options, but I want to do this in one step without having to go to Table Options).   Is there a way to do this using ArcPy?   I couldn't find any function in the ArcPy library that would create a new Layout Element ... and then I also don't know how to add the contents of the table to the Layout Element. Proving by induction that $ \sum_{k=0}^n{n \choose k} = 2^n$ Prove by induction that for all $n \ge 0$:  $${n \choose 0} + {n \choose 1} + ... + {n \choose n} = 2^n.$$  In the inductive step, use Pascal’s identity, which is:  $${n+1 \choose k} = {n \choose k-1} + {n \choose k}.$$  I can only prove it using the binomial theorem, not induction. I am a student who has taken the basic calculus courses but I am working through Calculus (the fourth edition) by Spivak in my spare time in order to both review the material and to gain a more rigorous understanding of the concepts. I am currently in Chapter 8 where he supplies a proof of the basis of the Intermediate Value Theorem, Theorem 7-1 (pp. 135-136 of the fourth edition). It seems mostly straightforward but I think there is some nuance of it that I don't grasp.  I am including in this post the statement Theorem 6-3 since he references it in the proof of Theorem 7-1 as well as part of Theorem 7-1 itself.     Theorem 6-3 Suppose $f$ is continuous at $a$, and $f(a) &gt; 0$. Then $f(x) &gt; 0$ for all $x$ in some interval containing $a$; more precisely, there is a number $\delta &gt; 0$ such that $f(x) &gt; 0$ for all $x$ satisfying $|x-a| &lt; \delta$. Similarly, if $f(a) &lt; 0$, then there is a number $\delta &gt; 0$ such that $f(x) &lt; 0$ for all $x$ satisfying $|x-a| &lt; \delta$.     Problem 6-16 is also referenced. However,it is the same thing as Theorem 6-3 for one-sided limits. The following proof is the Theorem 7-1 up through the paragraph which I don't fully understand.     Theorem 7-1: If $f$ is continuous on $[a,b]$ and $f(a) &lt; 0 &lt; f(b)$, then there is some number $z$ in $[a,b]$ such that $f(x) = 0$.  Proof: Define the set $A$ as follows:  $$A = \{x : a \le x\le b, \mbox{ and } f \mbox{ is negative on the interval } [a,x] \}.$$  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Clearly $A \ne \emptyset$, since $a$ is in $A$; in fact, there is some $\delta &gt; 0$ such that $A$ contains all points $x$ satisfying $a \le x &lt; a + \delta$; this follows from Problem 6-16, since $f$ is continuous on $[a,b]$ and $f(a)&lt;0$. Similarly, $b$ is an upper bound for $A$ and, in fact, there is a $\delta &gt; 0$ such that all points $x$ satisfying $b-\delta &lt; x \le b$ are upper bounds for $A$; this also follows from Problem 6-16, since $f(b) &gt; 0$. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; From these remarks it follows that $A$ has a least upper bound $\alpha$ and that $a &lt; \alpha &lt; b$. We now wish to show that $f(\alpha) = 0$, by eliminating the possibilities $f(\alpha) &lt; 0$ and $f(\alpha) &gt; 0$. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Suppose first that $f(\alpha) &lt; 0$. By Theorem 6-3, there is a $\delta &gt; 0$ such that $f(x) &lt; 0$ for $\alpha - \delta &lt; x &lt; \alpha + \delta$. Now there is some number $x_0$ in $A$ which satisfies $\alpha - \delta &lt; x_0 &lt; \alpha$ (because otherwise $\alpha$ would not be the least upper bound of $A$). This means that $f$ is negative on the whole interval $[a,x_0]$. But if $x_1$ is a number between $\alpha$ and $\alpha+\delta$, then $f$ is also negative on the whole interval $[x_0,x_1]$. Therefore $f$ is negative on the interval $[a,x_1]$, so $x_1$ is in $A$. But this contradicts the fact that $\alpha$ is an upper bound for $A$; our original assumption that $f(\alpha) &lt; 0$ must be false.    The point I don't understand is in the final paragraph of the excerpt. Why does Spivak split the interval $[a,b]$ up into the subintervals $\lbrack a,x_0 \rbrack$ and $[x_0,x_1]$? Isn't it true that, because $\alpha$ is a least upper bound of $A$ and $f$ is continuous on $[a,b]$, it must be true that if $a \le x &lt; \alpha$ then $f(x)&lt;0$? I understand the need to pick out the $x_1$ but not the $x_0$. Especially perplexing is the statement "there is some number $x_0$ in $A$ which satisfies $\alpha - \delta &lt; x_0 &lt; \alpha$ (because otherwise $\alpha$ would not be the least upper bound of $A$." Wouldn't it be true that if there were some $x_0$ such that $a \le x_0 &lt; \alpha$ and $f(x_0) \ge 0$ that $x_0$ would be an upper bound for $A$, contradicting that $\alpha$ is the least upper bound of $A$?  Thanks for any help. Relative Pronouns are ALWAYS added right after antecedent? Is is a rule that relative clauses should be added right after the antecedent(the noun relative pronouns refer to)? What if it is confusing?   For example:  "I went for a spin with a handsome boy last night."  "The handsome boy went out with my friend."  "I went for a spin with a handsome boy who went out with my friend last night ."  "I went for a spin with a handsome boy last night who went out with my friend." How do you handle "that that"? The double "that" problem TimeSpan to String causing an error How can I run Debian stable but install some packages from testing? Say you're running a server and you don't want to upgrade to Testing (Squeeze) from Stable (Lenny) to just install a required package or two.  What's the best way of installing only certain packages from Testing? (How) Can I use existing stapled electrical wire to fish new wire? I nicked an electrical cable while doing a plumbing repair and so need to fix it. I previously  about repairing the damage in place, but there are receptacles 6-10 feet away on either side of the damaged wire, so it may not be too difficult to just pull new wire. Most of the wire is run horizontally through the studs, which is great, but it will at least be stapled at both boxes (and possibly more). The horizontal run is ~18" up from the floor, while the receptacles are ~6". There is also an inside corner the wire is run through. Wire is 12/2.  Is it possible to use the existing wire to fish the new wire, even though the existing wire is stapled? Would I need to open up the wall to remove the staples?  I found a , but that pertains to telephone wires which sometimes use different staples than electrical wires. Article "communicated by" What does it mean when it says under a journal article that it has been communicated by "XYZ" where XYZ is not the author but some other scholar with a very strong reputation? What is the relationship to the actual author and/or the content? Is this some sort of seal of approval to get results out and known quickly? (I am specifically wondering in the context of mathematics and mathematical physics.)