when taken 5 root of big number gives wrong answere in js
Is floating point math broken?
How can I remove duplicate rows? A feature of C++ is the ability to create unnamed (anonymous) namespaces, like so:  namespace {     int cannotAccessOutsideThisFile() { ... } } // namespace   You would think that such a feature would be useless -- since you can't specify the name of the namespace, it's impossible to access anything within it from outside. But these unnamed namespaces are accessible within the file they're created in, as if you had an implicit using-clause to them.  My question is, why or when would this be preferable to using static functions? Or are they essentially two ways of doing the exact same thing? Get full name twice in Bibliography I use biblatex with style=authoryear and when there are two references of the same author in the bibliography there is just a dash. How can I get the full name in the second entry too? Problem to launch java at Debian: "error while loading shared libraries: libjli.so" Possible Duplicate:          The  describes the expansion of the $n$th power of the sum $(a+b)$:  $$(a+b)^n = \sum_{k = 0}^n {n\choose k}a^kb^{n-k}$$  In calculus, there is a generalization of the product rule called , which describes the expansion of the $n$th derivative of the product of two functions $f$ and $g$:  $$(fg)^{(n)} = \sum_{k = 0}^n {n\choose k}f^{(k)}g^{(n-k)}$$  It's not difficult to prove using the product rule and induction, what I'm really trying understand here is why the formula is true. Is there a way to prove it using the binomial formula? How are these two formulas related? Is there a combinatorial proof for Leibniz's rule like there is for the ?   I understand this question is a bit vague, but I hope you'll agree that these two formulas look so similar it just feels like there should be some relation between the two. Of course this is not necessarily true, but I'm hoping it's not just a crazy coincidence. How to describe arbitrary accelerations in special relativity How can I eliminate condensation on my toilet tank? My toilet is getting a great deal of condensation on the tank and dripping onto the floor. What can be done to address condensation on the exterior of a toilet tank? Do not disturb mode - but allow certain apps I'm using Emacs with AUCTeX to do all my LaTeX. When it comes to syntax highlighting it seems that all mathematics is by default just orange. Do you know of a mode or package that adds some more fine grained syntax highlighting? For example all commands (\foo), matching braces, sub- and superscripts, etc. should get a different color. What is Attribute Based Encryption? I have come across these three definitions of the limit superior (or upper limit) and the limit inferior (or lower limit) of a sequence of real numbers and I wonder how to establish the equivalence of these.    Walter Rudin: PRINCIPLES OF MATHEMATICAL ANALYSIS, 3rd edition:  Definition 3.16: Given a sequence $\{s_n\}$ of real numbers, let $E$ be the set of numbers $x$ (in the extended real number system) such that $s_{n_k} \to x$ for some subsequence $\{s_{n_k}\}$. This set contains all subsequential limits ..., plus possibly the numbers $+\infty$, $-\infty$. We now ... put  $$s^{*} = \sup E,$$ $$s_{*} = \inf E.$$ The numbers $s^{*}$, $s_{*}$ are called the upper and lower limits of $\{s_n\}$; we use the notation  $$ \lim_{n \to \infty} \sup s_n = s^{*}, \, \, \, \lim_{n \to \infty} \inf s_n = s_{*}.$$ Tom M. Apostol: MATHEMATICAL ANALYSIS, 2nd edition:  Sec. 8.3: Definition 8.2: Let $\{a_n\}$ be a sequence of real numbers. Suppose there is a real number $U$ satisfying the following conditions:    i} For every $\epsilon &gt; 0$ there exists an integer $N$ such that $n &gt; N$ implies $$a_n &lt; U + \epsilon.$$ ii) Given $\epsilon &gt; 0$ and given $m &gt; 0$, there exists an integer $n&gt; m$ such that $$a_n &gt; U - \epsilon.$$ Then $U$ is called the limit superior (or upper limit) of $\{a_n\}$, and we write $$U = \lim_{n \to \infty} \sup a_n.$$ Statement (i) implies that the set $\{a_1, a_2, a_3, \ldots \}$ is bounded above. If this set is not bounded above, we define $$\lim_{n\to\infty}\sup a_n = +\infty.$$ If the set is bounded above but not bounded below and if $\{a_n\}$ has no finite limit superior, then we say $\lim \sup_{n\to\infty} a_n = -\infty$. The limit inferior (or lower limit) of $\{a_n\}$ is defined as follows: $$\lim_{n\to\infty}\inf a_n = -\lim_{n\to\infty}\sup b_n,$$ where $b_n = -a_n$ for $n= 1, 2, 3, \ldots$.    Robert G. Bartle and Donald R. Sherbert: INTRODUCTION TO REAL ANALYSIS, 3rd edition: Exercises for Section 3.3: Problem 10: Let $(x_n)$ be a bounded sequence of real numbers, and for each $n\in \mathbb{N}$ let $s_n \colon= \sup \{x_k \colon k \geq n\}$ and let $t_n \colon= \inf \{x_k \colon k \geq n\}$. Prove that $(s_n)$ and $(t_n)$ are monotone and convergent. Also prove that if $\lim (s_n) = \lim (t_n)$, then $(x_n)$ is convergent. [One calls $\lim (s_n)$ the limit superior of $(x_n)$ and $\lim (t_n)$ the limit inferior of $(x_n)$.]   Now how can one show that the above three definitions are equivalent (i.e. these three definitions are of the same pair of numbers)? I want to extract infromation from logs using a shell script for a particular time range . A line in logs looks like this:  [14:58:27:176][15-10-2015]: testing1-vidya-Thu Oct 15 11:49:27 IST 2015 [14:59:27:178][15-10-2015]: testing2-vidya-Thu Oct 15 11:49:27 IST 2015 [15:00:27:179][15-10-2015]: testing3-vidya-Thu Oct 15 11:49:27 IST 2015 [15:01:27:180][15-10-2015]: testing4-vidya-Thu Oct 15 11:49:27 IST 2015 [15:01:27:181][15-10-2015]: testing5-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:182][15-10-2015]: testing6-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:183][15-10-2015]: testing7-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:184][15-10-2015]: testing8-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:191][15-10-2015]: testing9-vidya-Thu Oct 15 11:49:27 IST 2015 [15:03:27:192][15-10-2015]: testing10-vidya-Thu Oct 15 11:49:27 IST 2015 [15:03:27:193][15-10-2015]: testing11-vidya-Thu Oct 15 11:49:27 IST 2015 [15:03:27:208][15-10-2015]: testing12-vidya-Thu Oct 15 11:49:27 IST 2015 [15:04:27:209][15-10-2015]: testing13-vidya-Thu Oct 15 11:49:27 IST 2015 [15:49:27:210][15-10-2015]: testing14-vidya-Thu Oct 15 11:49:27 IST 2015 [13:02:17:209][15-10-2015]: testing13-vidya-Thu Oct 15 11:49:27 IST 2015 [15:04:27:209][16-10-2015]: testing13-vidya-Fri Oct 16 11:49:27 IST 2015 [15:49:27:210][16-10-2015]: testing14-vidya-Fri Oct 16 11:49:27 IST 2015   I need to extract data in specific intervals. for example in between 14:59 to 15:03 on 15-10-2015 as shown below:   [14:59:27:178][15-10-2015]: testing2-vidya-Thu Oct 15 11:49:27 IST 2015 [15:00:27:179][15-10-2015]: testing3-vidya-Thu Oct 15 11:49:27 IST 2015 [15:01:27:180][15-10-2015]: testing4-vidya-Thu Oct 15 11:49:27 IST 2015 [15:01:27:181][15-10-2015]: testing5-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:182][15-10-2015]: testing6-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:183][15-10-2015]: testing7-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:184][15-10-2015]: testing8-vidya-Thu Oct 15 11:49:27 IST 2015 [15:02:27:191][15-10-2015]: testing9-vidya-Thu Oct 15 11:49:27 IST 2015 [15:03:27:192][15-10-2015]: testing10-vidya-Thu Oct 15 11:49:27 IST 2015 [15:03:27:193][15-10-2015]: testing11-vidya-Thu Oct 15 11:49:27 IST 2015 [15:03:27:208][15-10-2015]: testing12-vidya-Thu Oct 15 11:49:27 IST 2015   I am new to shell script.I have tried with grep command . Can anyone suggest me how to do this ? Hi i want to put this simbol "%" in the tick labels only in the x axis how can i do? Build and strengthen the Stack Exchange community with "crossover questions" between sites I've been a Stack Exchange contributor for a couple of years now, currently most active on . One thing that keeps coming up is questions that would appeal to audiences on two different Stack Exchange sites but there are almost no features taking advantage of these questions. On travel.SE we have crossover questions most often with  and possibly next most often with  - but it can happen with almost any SE site. Today alone we had  with  and  had . I am absolutely sure that this must happen all the time between arbitrary pairs of Stack Exchange sites but the only feature that takes advantage of it is the possibility of migrating off-topic questions which leaves the original question acting as a redirect across the two sites. I think there is a missed opportunity to build the network between sites where users of one site don't realize they could make valuable contributions to a sister site they have had so far little to do with. At the very least there could be a way to &quot;advertise&quot; a question on a second site that could be interested in it. Probably by listing it in the sidebar where there are also links to meta questions, linked questions, related questions, new blog posts, and But there could also be some kind of features that make some sort of acceptable crossposting. There could be gamification/badges added around building cross-site questions or whatever else you can think up. I think this is a great way for people to spread their expertise from their main site onto other sites, to make the network stronger and more cohesive, to bring more attention to questions that would have a divided audience between two sites. I can think only of positives and no negatives. Does anyone else have some ideas to add or think this is a bad idea for any reason?  Example crossover questions: Here are some links to some crossover questions I've been finding in the Stack Exchange network here. (This was previously posted as an answer, but more people wanted it to be part of the question.)   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  :   ▶  : What happened to Jarvis at the end of Avengers: Age of Ultron Is it possible to test apex that relies on field history tracking? I have some code that relies on field history tracking by querying the History for a custom object. This works fine, but it appears that the history records aren't created during the test so none of my tests will pass. Say you have a stick which breaks randomly into three pieces (we can choose the points randomly). What is the probability that the area is greater than or equal to $0.4$?   I can see it has something to do with Heron's formula but I just can't put t together. a year on: what does it mean? PLease, dear native English speakers, help me to understand the meaning of the expression "a year on" within the context "The reality is that, a year on, a true 4K standard is still very much a work in progress..." Thank you a lot! Every metrizable space with a countable dense subset has a countable basis Why don’t photons interact with the Higgs field and hence remain massless?