how to determine if 2 dates object equals each other?
Compare two dates with JavaScript
Im trying to get my head around complex integration/complex line integrals. Real integration can be thought of as the area under a curve or the opposite of differentiation. Thinking of it geometrically as the area under a curve or the volume under a surface in 3 dimension is very intuitive.   So is there a geometric way of thinking about complex integration? Or should I just be viewing it as process that reverses differentiation? Or has integration other meanings in complex analysis? Here is an example, could someone explain this to me - Here's the definition of the integral along a curve gamma in C, parameterized by $w:[a, b] -&gt;C$ \begin{equation} \int_\gamma f(z)dz = \int_a^b f(w(t)).w{(t)}'dt \end{equation}   So I have -  $\gamma$ is the unit circle with anti-clockwise orientation parameterized by  $w:[0, 2\pi]\to C$  $w(t) = e ^{it} = Cos(t) + iSin(t)$  So if use the definition of the integral,   $\int_\gamma f(z)dz = \int^b_a f(w(t)).w{(t)}&#39;dt$,  and work this out it comes to  $\int^{2\pi}_0 i dt = 2{\pi}i$  So what does this $2{\pi}i$ represent? Does it mean anything geometrically, like if a regular integral works out to be 10 that means the area under the curve between 2 points is 10... Modify a shape and have modifications apply to clones Is there any any "Symmetry Modifier" option in illustrator?   Let's say I want to create a head that is totally symmetric. I created one half then mirrored it to get another half. Flipped the other half, aligned them and joined them together with Pathfinder→Unite option.   Now I modified some portion of the right half outline. But how can I get that same modification to be updated on the left option? I thought it would happen automatically. prove that a connected graph with $n$ vertices has at least $n-1$ edges Show that every connected graph with $n$ vertices has at least $n − 1$ edges.  How can I prove this?  Conceptually, I understand that the following graph has 3 vertices, and two edges:  a-----b-----c  with $a$, $b$ and $c$ being vertices, and $\{a,b\}$, $\{b,c\}$ being edges.  Is there some way to prove this logically?  --UPDATE--  Does this look correct?  Any advice on how to improve this proof would be appreciated.  Thank you. Airplane ground speed and direction, given airspeed and wind An airplane heads northeast at an airspeed of 900 km/hr, but there is a wind blowing from the west at 60 km/hr. In what direction does the plane end up flying? (angle). What is its speed relative to the ground?   I drew a picture. I think I am having a hard time understanding how to solve the problem. I want to add the wind vector to the plane vector - is that as simple as 840 km/hr? After really adding the vectors together, do I do: (added vectors)cos(45)? Dollar cost averaging - Should I still do it if I have a large pile of cash now? I currently have a large pile of cash savings ($240,000) which I really should have been investing all this time, but the past is past and no point dwelling on it.  I am currently 38 years old (2 kids. Wife who is also a high earner - $100,000), with a high salary ($150,000). I have read "The Intelligent Investor" and am really sold on dollar cost averaging as a strategy, using the index funds offered by Vanguard.  My current dilemma is what to do with the cash I already have. My current plan is to still follow the dollar cost averaging and slowly move it into vanguard over a period of 4 years (~$5000 per month). While leaving the remaining parts of the cash in term deposits. So $50,000 in a 3 year term deposit at 3%, $50,000 in a 2 year term deposit at 2.8% etc.  But in someways it feels overly conservative. Should I just move all the money now? Or perhaps in a shorter time frame (3 years? 2 years? 1 year?).  There are a few other questions on the site similar to mine, but they are from 2013/2014 etc. Given that currently the stock market is at a high and there is a lot of economic uncertainty on the horizon, putting everything in the stock/bond market at once now seems like a risky move. And it seems to violate the principle of dollar cost averaging. Or am I violating dollar cost averaging by trying to "time the market" by looking at it's current value?  Reading this section  seems to indicate that I should just invest everything now. But the first paragraph also seems to suggest giving more weight to that advice if the market was trending upwards (Which I am not certain the current market is/will be for long).  PS: My current investment horizon is long. Basically retirement, about 20 years from now. $\lim_{n\to \infty}f(nx)=0$ implies $\lim_{x\to \infty}f(x)=0$ Can anyone help me with this problem?     Let $f:[0,\infty)\longrightarrow \mathbb R$ be a continuous function such that for each $x&gt;0$, we have $\lim_{n\to \infty}f(nx)=0$. Then prove that $\lim_{x\to \infty}f(x)=0$.   Our teacher told first to prove Baire's theorem, and then show that this is a consequence of that theorem. I proved Baire's theorem, and I spend a few hours thinking on how Baire's theorem is related to this problem, but I couldn't find anything. I'd really appreciate your help. Why is my StackExchange OpenID so hard to find? I would like to have \alph{counter} for values larger than 26. The following MnWE gives me the error ! LaTeX Error: Counter too large.  \documentclass{article} \begin{document}  \begin{enumerate} \def\theenumi{\alph{enumi}} \setcounter{enumi}{24} \item twenty-five \item twenty-six \item twenty-seven \end{enumerate}  \end{document}   I would like it to behave like one of these:  ..., x, y, z, aa, bb, cc, ..., xx, yy, zz, aaa, bbb, ccc, ... (preferred) ..., x, y, z, aa, ab, ac, ..., ax, ay, az, ba,  bb,  bc,  ... (can be if nothing else works)   A solution without LaTeX3 extensions would be awesome as I cannot run LaTeX3 extensions. How can an object's instantaneous speed be zero and it's instantaneous acceleration be nonzero? I'm studying for my upcoming physics course and ran across this concept - I'd love an explanation. Chapter 5: Are there multiple Endings? I just finished Episode 5 and wondered, if there were alternative endings or game branches. I brought the whole group with me, and am wondering what would have changed if different people accompined me, and if the episode is possible to play out differenly.      On my playthrough, Lee killed the stranger, and on the run back to Christa and Omid, was to weak to continue. Clementine shot him. Kenny died along with Ben after he fell off the building. And Lee was cut off Christa and Omid after they went over the "bridge" first. How would I remove the border from an iframe embedded in my web app? An example of the iframe is:  &lt;iframe src="myURL" width="300" height="300"&gt;Browser not compatible.&lt;/iframe&gt;   I would like the transition from the content on my page to the contents of the iframe to be seamless, assuming the background colors are consistent. The target browser is IE6 only and unfortunately solutions for others will not help. Determining statistical probability related to a string event of dates Mathematical physics text with plenty of applications I'm looking for texts on mathematical physics. I've seen various other threads, but the texts recommended in those threads were mathematical methods of theoretical physics texts, that is to say those texts focused on the math methods useful for physicists and assumed the applications of those methods would be covered in some other text. What I'm looking for is a book which introduces some math and then looks at its applications (back and forth) rather than a text which just goes over some math. (Example of books which are NOT what I'm looking for: Mathematics for physicists by Dennery, Math methods for physicists by Weber and Arfken etc)  I've taken courses in multi-variable calc, linear algebra, real analysis, and I'm currently taking a course in abstract algebra. But so far I've only seen applications of multi-variable to physics. I'm looking for books which look at the applications of the other subjects mentioned above to physics, of course books which cover subjects beyond those mentioned are also welcome.   So far I'm liking the flavor of the text "A Course in Modern Mathematical Physics" by Szekeres, but I'd prefer a text which got to the physics side of things more quickly (in the Szekeres text the first eight chapters are strictly on pure math).   After some amazon searching it looks like Theoretical Physics by Joos, Mathematical Physics by Henzel, and Physical Mathematics by Cahill may be good bets? Can I store my pixels somewhere so I don't lose them when I die? I die all the time. My pixel balance hovers around zero as a result. I'm trying to save up for armor but my nonstop deaths are making that difficult.  Is there anywhere I can store my pixels so that when I die, I won't lose a bunch of them? Isle vs. Island Some islands are called isle like "Isle of Man", "Isle of Tortuga" and the "British Isles". Other islands are called island, like "Island of Malta" or "Island of Cyprus".  What is the difference between the words? How to know if a land mass confined by water is called an isle or an island? Possible Duplicate:        When I click 'Unanswered' in the menubar, I get a list of questions, all of which have been answered. Does it just mean there's no accepted answer? If so, can we make that more obvious? Can we get some way of finding really unanswered questions? No error message if the URL is very long I entered a URL with a very long parameter on Stack Exchange.  I have type this url    It shows a blank screen , does not shown any messages.    We need to show a “Page Not Found” message, same as what you did on other Stack Exchange pages. $\operatorname{arsinh}$ vs $\operatorname{arcsinh}$ I note that some people like to write the inverse hyperbolic functions not with the prefix "arc" (like regular inverse trigonometric functions), but rather "ar".  This is because the prefix "arc" (for arcus) is misleading, because unlike regular trigonometric functions, they are not used to find lengths (inverse trigonometric functions can be used to find arc length of ellipses like $x^2+y^2=1$) but rather find area of a sector of the unit hyperbola.  Which version should be preferred?  $\operatorname{arsinh}$ initially confused me as I did not know why "ar" was used.  However, some seem to prefer this notation as it is more of an accurate description of the function. What is better to have? A pokemon with higher IV but lower CP or vice versa? Me and my friends have encountered this situation many times. We need to decide which Pokemon to evolve. Take the following scenario:   Growlithe A: 20% more CP than Growlithe B. (898 instead of 743). Growlithe B: 26% more IV than Growlithe A. (87 instead of 69 in this case).   I didn't give more details about each Pokemon because I'd like a general answer that others can use.  Thank you kind folks!  P.S this is not a duplicate, since I understand what a higher IV interprets into.  Yes, a higher IV will define the MAX CP, but it's not the only thing to consider. A higher IV also means better chance of better moves for the evolved pokemon - and those are much more important than a high CP. Also consider that I have many Arcanines and I don't have the stardust to max them out (that is a different question). The recent discovery by the LIGO made me wonder about this.  We know that there exists a CMBR, Cosmic Microwave Background Radiation, a blanket of electromagnetic energy covering the universe, made by the Big Bang.  But, the big bang was an explosive event. The huge "shockwave" made by it sent ripples in space time. (Primordial gravitational waves)  Wouldn't these ripples flood the universe creating sort of a Cosmic Gravitational Background Radiation (not exactly radiation)?  If such waves do flood the universe, couldn't a much more sensetive version of LIGO be able to detect this and use it as a contrast to create "gravitational telescopes"?