I would like to create centerlines for many glaciers I am doing work with in ArcMap. I feel like I have a conceptual model that could work but can't seem to figure out how to make it happen with the tools available. I have polygons for each glacier outline, and DEMs for elevation data.  My idea is as follows:   Using zonal stats find max/min elevation for each glacier using the outline polygons Turn the max and min pixel into a point file Then find either a least cost path using the DEM between the max/min for each glacier(seems complicated) or find the path between the two points that lies in the center of either side of the polygon.   It's the last step I need help with.
I have the Basic license for ArcGIS and so I cannot use the collapse dual lines to centreline tool or the river bathymetry toolset by ESSA as they both need an advanced license.   Any idea how I can find the centreline or thalweg of the canyons using another tool which works in the standard version of ArcGIS please?
How do I reset a lost administrative password? How to format date and time in Android? How do I do Combinatorics / Counting? If someone could give answers and explain, it would be greatly appreciated. Help required studying for a final.  One hundred tickets, numbered 1,2,3,…,100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).   A) How many ways are there to award the prizes?  B) How many ways are there to award the prizes if the person holding ticket 47 wins the grand prize?  C) How many ways are there to award the prizes if the person holding ticket 47 wins one of the prizes?  D) How many ways are there to award the prizes if the person holding ticket 47 does not win a prize?  E) How many ways are there to award the prizes if the people holding tickets 19 and 47 both win prizes?  F) How many ways are there to award the prizes if the people holding tickets 19, 47, 73, and 97 all win prizes?  G) How many ways are there to award the prizes if none of the people holding tickets 19, 47, 73, and 97 wins a prize?  H) How many ways are there to award the prizes if the grand prize winner is a person holding ticket 18, 47, 73, or 97?  I) How many ways are there to award the prizes if the people holding tickets 19 and 47 win prizes, but the people holding tickets 73 and 97 do not win prizes? What are bitwise operators? I'm someone who writes code just for fun and haven't really delved into it in either an academic or professional setting, so stuff like these bitwise operators really escapes me.  I was reading an article about JavaScript, which apparently supports bitwise operations. I keep seeing this operation mentioned in places, and I've tried reading about to figure out what exactly it is, but I just don't seem to get it at all. So what are they? Clear examples would be great! :D  Just a few more questions - what are some practical applications of bitwise operations? When might you use them? I can't destroy blocks in Minecraft Creative Mode (singleplayer) I was browsing flight price at Singapore Airlines website, and a one-way flight from SIN to SFO cost this much:    That's quite expensive. I tried browsing around and found that a return flight from SFO to SIN and back to SFO cost much cheaper:    It's really weird because the second ticket includes the exact same flight that cost 1900+, but it's almost half the price. The reason for this counter-intuitive situation is explained in the answers this question   If I am located in Singapore and my intention is to fly one-way to SFO, is it safe to book the flight in the second picture and only board SFO-SIN leg? Will they deny me because I miss the SIN-SFO flight? How do I uninstall Ubuntu? How do I format drive and unistall Ubuntu 11.10?  I wanted a dual boot and was given an option to overwrite Windows XP partition and said yes.  Format options don't work.  I tried a few dos prompts and probably not using correct fdisk.  Format options state drive is busy closed all windows.  Tried to boot windows XP and disk says its corrupt. An incorrect answer for an integral As the authors pointed out in  (p. 2), the following evaluation which was in Gradshteyn and Ryzhik (sixth edition) is incorrect (and has been removed). $$ ''\int_{0}^{\infty}\frac{1}{\left(1+x^{2}\right)^{3/2}} \frac{1}{\sqrt{1+  \frac{4 x^{2}}{3\left(1+x^{2}\right)^{2}}+\sqrt{1+  \frac{4 x^{2}}{3\left(1+x^{2}\right)^{2}}}}} \mathrm{d}x = \frac{\pi}{2\sqrt{6}}'' \qquad (*) $$ A numerical evaluation gives $0.6663771 \cdots$ on the left hand side and $0.64127491 \cdots $ on the right hand side.  I have not succeeded to correct $(*)$.  Do you have any idea on how to evaluate the above integral? Representing several points with same coordinates on map using ArcGIS Desktop? I'm working on Arcgis 10.  I have a point shapefile representing events with several points having coinciding coordinates (They have the same coordinates). For representing them in a dynamic way, I found a nice way - .  Problem is: I was asked to produce a static (paper) map of the events. Is there a tool that can take these events and shift them apart a bit so all will be seen?  (I know that spreading them about will alter their coordinates, but I am prepared to do so on a duplicate shapefile for the display on the map). What is the procedure for taking down Titans? How to prove useful property of logarithm of generating functional in QFT? How to prove that $\ln(Z(J))$ generates only? I can't find the proof of this statement, and have only met its demonstrations for case of 2- and 4-point. IANAL et al. is usually the start of answers to [legal] questions on any SE site (e.g. ). You usually end up with personal opinions which sound sensible and the accepted answer is often the one closest to the OP's hopes. But it's probably often not correct. I know the situation can be rather complicated and even differ by location, but it would be really helpful if the SE team were providing official lawyers (indicated maybe by using a § in the username, forbidden for everyone else, just like the mod ♦) to provide some orientation that one could actually rely on beyond much doubt... Chrome always quit when I click on the X button on a tab, without asking me anything!  Even when I close Chrome he do not alert me if I am willing to relay close it?   Many times it happened that accidentally I clicked on X button. Irreducible polynomial of degree $8$ Access server by host name? I have a mixed network with mostly Windows machines, a Mac, and a few Linux boxes.  There is no DNS or WINS server, and adding one is outside of my control.  If I put a clean install of 10.04 desktop on a computer, then all other machines on the network can get to that machine by hostname just fine.    However, if I put 10.04 server on the same computer, then the other machines can only get to it by IP address.  The hostname does not resolve.  What do I need to do on the server so that all the other machines on the network can get to it? Additional horizontal space when the last line of an environment is full I have created an environment env which just adds a \medskip and some text (say "Blablabla") after the text inside \begin{env} ... \end{env}. The problem is that if the last line is full, then I get an additional horizontal space between the text and "Blablabla".  Here is an MWE:  \documentclass{article} \newenvironment{env}{ ENVIRONMENT:\par }{ \medskip \par\noindent Blablabla }  \begin{document}  \section*{First case: the last line is not full}  \begin{env} Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla malesuada porta tortor non vestibulum. Vivamus vel tincidunt purus. Curabitur quam arcu, suscipit sed diam sed, ornare efficitur felis. Duis at arcu iaculis, viverra ligula sit amet, hendrerit eros. Proin finibus venenatis sollicitudin. Nunc ullamcorper sem ut lacinia posuere. Integer pulvinar nulla lorem, ut pulvinar ipsum egestas at. Duis quam ipsum, posuere ac pulvinar vitae, auctor non leo. \end{env}  \section*{Seconde case: the last line is full}  \begin{env} Lorem ipsum dolor sit amet, consectetur adipiscing elit. Quisque suscipit vitae neque eu gravida. Quisque et enim quam. Integer elementum diam a ex laoreet, ac egestas lacus volutpat. Nunc ullamcorper non urna tincidunt ultrices. Etiam eu ultricies diam. Proin mollis, nunc sit amet volutpat varius, ipsum tellus bibendum nulla, in eleifend lacus felis pellentesque nisl. Phasellus laoreet, libero quis auctor congue, nulla nulla aliquam metus, in hendrerit arcu justo quis tortor. Nunc nec nisi euismod, consectetur tellus nec, suscipit libero.  \end{env}  \end{document} I read this book a few years ago which was part of a series, but I only found the first book and now I've forgotten the name.  The first book featured 3 children/teens from different places that end up on a quest to search for magic gems/stones together and the story takes place in a medieval kind fantasy world. One is a girl, while the other 2 are boys. One of the boys actually finds a stone/gem while he is on a school field trip (I think the gem/stone is red in colour), and when he picks it up, he gets transported to the fantasy land but ends up in some sort of military training ground/camp somewhere in a desert type area.  He isn't familiar with the fantasy world. The other 2 characters each start out on their own on a quest to collect some magical gems/stones which once collected, can be used to fight an evil ruler (I guess).  But halfway through the book, the girl and boy meet up and continue the quest together while the third boy(transported one) doesn't know that the stone he picked up is actually one of the magical stones others are looking for.  A few other details I remember:   The stone the boy finds is red in colour I think  The cover of the book had a border depicting the stones  It's part of a series or trilogy    Some books with similar storylines, but not the one I'm looking for:     Deltora Quest The Seven Towers Sword of Heaven series Westeria series Diadem series I want to kill all running processes of a particular user from either a shell script or native code on a Linux system.  Do I have to read the /proc directory and look for these?  Any ideas? Is there a dynamic mapping of the pids under UIDs in Linux? Isn't this in the proc?  If not, then where is this list maintained? Should I read from it? Also where is the static list of all UIDs in the system so I can validate this this user exists and then proceed to kill all processes running under it? What is the relation between computational security and provable security? I read the book "Introduction modern cryptography". It gives the notion of computational security of private-key encryption at first which comes from perfect security and statistical security.     Let $(E,D)$ be an encryption scheme that uses $n$-bits keys to encrypt $l(n)$-length messages. $(E,D)$ is computationally secure if    $$E_{U_{n}}(x_{0}) \approx E_{U_{n}}(x_1)$$   And then it introduces the secure game (e.g. CPA, CCA)? I think it is a part of provable security.  "Unconditional security" (or "information-theoretic security" or "perfectly secrecy") and "computational security" are two opposite classes of security. But I do not think "computational security" and "provable security" are two independent classes of security. I know that computational security emphasizes the power of attacker is bounded (polynomial-time algorithm). And the provable emphasizes the mathematical assumptions or cryptography primitives. But it also related to the computational power. Are there any series whose convergence is unknown? Are there any infinite series about which we don't know whether it converges or not? Or are the convergence tests exhaustive, so that in the hands of a competent mathematician any series will eventually be shown to converge or diverge? EDIT: People were kind enough to point out that without imposing restrictions on the terms it's trivial to find such &quot;open problem&quot; sequences. So, to clarify, what I had in mind were sequences whose terms are composed of &quot;simple&quot; functions, the kind you would find in an introductory calculus text: exponential, factorial, etc.