If $f$ is continuous and bounded on $\Bbb{R}$, does it mean that $f$ is uniformly continuous on $\Bbb{R}$?
Continuous and bounded imply uniform continuity?
Convert shapely polygon coordinates I am trying to work with a shapefile using shapely, fiona and python. The original coordinate system is in latitude and longitude that I am trying to convert to state plane system. So I want an updated shapefile with coordinates as statePlane. I converted the json object:  fc = fiona.open("sample.shp")    geoJsonObj = shapefile_record['geometry'] array_coordinates = np.array(geoJsonObj['coordinates']) array_newCoordinates = copy.deepcopy(array_coordinates) for counter in range(0,len(array_coordinates[0])):     long,lat = p1(array_coordinates[0][counter][0],array_coordinates[0][counter][1])     #where p1 is a function to do the conversion     array_newCoordinates[0][counter][0] = long     array_newCoordinates[0][counter][1] = lat  geoJsonObj['coordinates'] = array_newCoordinates.tolist()   when i check the coordinates, i get state plane coordinates according to the transformation.  n. However, when i open the individual shapes/polygons within the shapefile, the coordinates are still latitude and longitude. why does this happen?  ----EDIT 1-----  from pyproj import Proj, transform import fiona from fiona.crs import from_epsg  dest_crs = from_epsg(4269) shape = fiona.open("Sample.shp") original = Proj(shape.crs) # EPSG:4326 in your case destination = Proj('+proj=lcc +lat_1=36.41666666666666 +lat_2=35.25      +lat_0=34.33333333333334 +lon_0=-86 +x_0=600000 +y_0=0 +ellps=GRS80 +datum=NAD83  +no_defs') with fiona.open('new.shp', 'w', 'ESRI Shapefile',shape.schema.copy(),crs = dest_crs) as output:     for feat in shape:                print feat['geometry']['coordinates']         for counter in range(0,len(feat['geometry']['coordinates'][0])):             long,lat =  feat['geometry']['coordinates'][0][counter]             x,y = transform(original, destination,long,lat)             feat['geometry']['coordinates'][0][counter] = (x,y)         output.write(feat) How does entropy depend on location and scale? Why can't I destroy or place blocks? I'm playing on a Survival world with cheats on, "easy" difficulty, and at night in-game. I didn't have a sword or anything to make a sword with, and I was starving, so I switched to Creative to give myself a stack of food and a bed to set my spawn point. When I switched back to Survival, I couldn't destroy or place blocks. I'm on single player, and my Internet is fine, and I can destroy blocks still if I switch to creative. I've tried resetting the button one, and reloading the map, and it still doesn't work. I've even tried deleting everything I gave myself in Creative. This happened before on a different world and I ended up deleting it.  This only happens on this world. How do I fix it?  If I know I'm in the correct game mode, what else can cause this?  Are there different causes in multiplayer? I was studying a  problem where optical light with a wavelength of 500&nbsp;nm travels through a gas with refractive index $n$.  If we look at the equations for wave motion and index of refraction  $$c=\lambda_0\nu\quad\text{(in vacuum)}$$  $$v = \lambda\nu\quad\text{(in medium)}$$  $$n = c/v$$  we see that, if the frequency is constant, the wavelength decreases in the medium compared to vacuum. Is this a consistent property at all frequencies and for all mediums with refractive index real and greater than 1?  Are there dielectrics which change the frequency (still for n > 1), and is there an example of that? How to stack three relations Finding a permutation, and number of, from powers of the permutation Use Outgoing SSH to receive incoming SSH My ISP does not allow me to have a static IP address. As such I am unable to remotely SSH in my home machine. Is there a way I could SSH from my home machine to a server and SSH into the server from my remote laptop and bridge the two connections?  Cheers! What is the difference between a static and a non-static initialization code block How do the Flashes breathe utilizing their super speed? The air pressure would be extreme. Do they run in a pressurized bubble? Assume you have some objects which have several fields they can be compared by:  public class Person {      private String firstName;     private String lastName;     private String age;      /* Constructors */      /* Methods */  }   So in this example, when you ask if:  a.compareTo(b) &gt; 0   you might be asking if a's last name comes before b's, or if a is older than b, etc...  What is the cleanest way to enable multiple comparison between these kinds of objects without adding unnecessary clutter or overhead?   java.lang.Comparable interface allows comparison by one field only Adding numerous compare methods (i.e. compareByFirstName(), compareByAge(), etc...) is cluttered in my opinion.   So what is the best way to go about this? Everything that I have read says that iWorks/ iMovie etc should be free for Mac users after 1 September 2013.   I already bought Pages but want Numbers and iMovie. My MacBook Pro with retina is early 2015 and I am being charged.    Why is this please? Internet Accounts spontaneously forgets passwords and I can't reauthorize them I've had this problem before, but I was able to resolve it that time. macOS 10.13.4, everything up to date. Yesterday, Internet Accounts forgot my LinkedIn password and would not reauthenticate. Today, it forgot my Facebook password.   I've tried:   App specific password. Removing the account and re-adding it. Turning off 2-factor authentication. Deleting associated entries from Keychain. Logging out of iCloud, deleting Keychain entries, removing and re-adding the account, then logging back in.   First of all, what the hell—why does this keep happening?! Secondly, what else can I do to fix this short of reinstalling macOS? What is a NumberFormatException and how can I fix it? Does ASP.NET MVC use the regular toolbox controls? Some images shown outside of preview rectange Some images shown outside of preview rectange before uploading, eg: I understand that the mechanics and design of a lightsaber aren't that complicated.  Do others besides the Jedi and Sith (or their minions) make or use lightsabers?  And if they don't, why not? I want to make my appexchange app available in multiple language like Spanish, dutch etc. so that depend on the language of the user they can access the app.  Is it possible in any way..  any help will be appreciated.. Thanks How is the Schroedinger equation a wave equation? Wave equations take the form:  $$\frac{ \partial^2 f}  {\partial t^2} = c^2 \nabla ^2f$$  But the Schroedinger equation takes the form:  $$i \hbar \frac{ \partial f}  {\partial t} = - \frac{\hbar ^2}{2m}\nabla ^2f + U(x) f$$  The partials with respect to time are not the same order. How can Schroedinger's equation be regarded as a wave equation?  And why are interference patterns (e.g in the double-slit experiment) so similar for water waves and quantum wavefunctions? Film where aliens looking like humans are waiting in an airport closed due to snowstorm I saw the movie 6 - 7 years back on cable tv, from the looks of it it seemed to be made in the late 1990's or early 2000's. Unfortunately I could not see the complete movie. The story goes like--   Some people are waiting at a small airport because snowstorm activity has cancelled all flights in and out. There are two children in the group as well (one boy and a girl). Somehow they discover there are aliens looking like humans among them. They decide to check passengers through baggage scanners (checking the skeletal structure via x-ray). They find and kill 2 aliens.   and the big twist:      5. They then realize the two children are also aliens.   any ideas what the name of the movie is ??? How to merge records for query set We have a question related to a DB query :   CREATE TABLE `Action` (   `id` int(10) unsigned NOT NULL AUTO_INCREMENT,   `emp_Id` int(10) unsigned NOT NULL,   `name` varchar(60) NOT NULL,   `updated_action_at` datetime(3) DEFAULT NULL,   `created_At` datetime NOT NULL DEFAULT CURRENT_TIMESTAMP,   `notes` varchar(400) DEFAULT NULL,   PRIMARY KEY (`id`),    KEY `action_empId_fk` (`emp_Id`),    CONSTRAINT `action_empId_fk` FOREIGN KEY (`emp_Id`) REFERENCES `Employee` (`id`) ON DELETE CASCADE,  ) ENGINE=InnoDB AUTO_INCREMENT=502004 DEFAULT CHARSET=latin1   CREATE TABLE `ActionAssignedTo` (   `action_Id` int(10) unsigned DEFAULT NULL,   `emp_Id` int(10) unsigned DEFAULT NULL,   KEY `actionassignedto_emp_id_foreign` (`emp_Id`),   KEY `actionassignedto_action_id_foreign` (`action_Id`),   CONSTRAINT `ActionAssignedTo_ibfk_1` FOREIGN KEY (`emp_Id`) REFERENCES `Employee` (`id`) ON DELETE CASCADE,   CONSTRAINT `ActionAssignedTo_ibfk_2` FOREIGN KEY (`action_Id`) REFERENCES `Action` (`id`) ON DELETE CASCADE ) ENGINE=InnoDB DEFAULT CHARSET=latin1  CREATE TABLE `Employee` (   `id` int(10) unsigned NOT NULL AUTO_INCREMENT,   `vendor_Id` int(10) unsigned DEFAULT NULL,   `name` varchar(40) NOT NULL,   `mobile_Number` varchar(15) NOT NULL,   `active` tinyint(1) DEFAULT '1',   `updated_At` datetime NOT NULL DEFAULT CURRENT_TIMESTAMP,   `created_At` datetime NOT NULL DEFAULT CURRENT_TIMESTAMP,   PRIMARY KEY (`id`),   KEY `employee_vendor_id_foreign` (`vendor_Id`),   CONSTRAINT `employee_vendor_id_foreign` FOREIGN KEY (`vendor_Id`) REFERENCES `Vendor` (`vendor_Id`) ) ENGINE=InnoDB AUTO_INCREMENT=511 DEFAULT CHARSET=latin1   We want to find the action created by employee with Action.empId = 4 along with the list of Assignee (an action can be assigned to multiple people)  We have the following query :   Select     notes,             Action.id,             AssigneeName.name,             ActionAssignedTo.emp_Id  from       Employee inner join Action  on         (Action.emp_Id = Employee.id  and        Action.emp_Id in (select Employee.id                               from Employee                               where Employee.vendor_Id = 1)) inner      join ActionAssignedTo  on         Action.id =  ActionAssignedTo.action_Id inner join Employee as AssigneeName  on         ActionAssignedTo.emp_Id =  AssigneeName.id where      Action.emp_Id = 4   Now, lets say if Action with id = 10 was assigned to 2 people : John (empId : 2) And Jack (empId : 5) --> the above query returns following results :  (columns from the query)  notes                       | Action.id | AssigneeName.name | ActionAssignedTo.emp_Id 1. Finish Designing Queries | 10        | John              | 2 2. Finish Designing Queries | 10        | Jack              | 5   If we observe the above results the first 2 columns get repeated for the Assignees for SAME ACTION ID  --> is there a way we can merge them something like   1. Finish Designing Queries |10         | { John : 2  , Jack  : 5}   Basically records being merged into one.