I always thought of quantum space and quantum time as a solution, but then i figured out that "quantum space-time" is not actually true(yet). I've also heard of the calculus approach and limits, but i don't see how the paradox is resolved since limits tell you what happens as you approach a value not at that value itself.  What's the solution?
If I was at point $A$ and I wanted to walk directly to point $B$, I would have to walk half way to point $B$, but before that I would have to walk half way to halfway to halfway to point $B$ and half of that again and so on and so fourth. if I halved this distance an infinite amount of times then there would be an infinite amount of actions I would need to perform in order to cross from $A$ to $B$. Therefore, if each action took any quantity of time at all, then it would take me an infinite amount of time to cross from $A$ to $B$, even if $A$ and $B$ were only a few centimetres apart!   Because I am not infinitely old and I can move, there must be a flaw in this logic. Where is it?
Masking NetCDF time series data from shapefile using Python I have a 3-D time-series precipitation data (187 x 1800 x 3600), stored in a NetCDF file. I need to obtain the precipitation data for a shapefile. import matplotlib.pyplot as plt from netCDF4 import Dataset, num2date,  from matplotlib.pyplot import figure from datetime import datetime, date, timedelta import numpy as np import xarray as xr import pandas as pd import geopandas as gpd       MSWEP_monthly = 'D:\G3P\DATA\Models\MSWEP\MSWEP_monthly.nc4'  MSWEP_monthly = Dataset(MSWEP_monthly, 'r') Pre_MSWEP = MSWEP_monthly.variables['precipitation'][:]   MSWEP_monthly2 = xr.open_dataarray('D:\G3P\DATA\Models\MSWEP\MSWEP_monthly.nc4')  Lon_MSWEP = MSWEP_monthly2.lon Lat_MSWEP = MSWEP_monthly2.lat  Africa_Shape = gpd.read_file('D:\G3P\DATA\Shapefile\Africa_SHP\Africa.shp')    from osgeo import gdal,osr,ogr  def makeMask(lon,lat,res):     source_ds = ogr.Open(shapefile)     source_layer = source_ds.GetLayer()       # Create high res raster in memory     mem_ds = gdal.GetDriverByName('MEM').Create('', lon.size, lat.size, gdal.GDT_Byte)     mem_ds.SetGeoTransform((lon.min(), res, 0, lat.max(), 0, -res))     band = mem_ds.GetRasterBand(1)       # Rasterize shapefile to grid     gdal.RasterizeLayer(mem_ds, [1], source_layer, burn_values=[1])       # Get rasterized shapefile as numpy array     array = band.ReadAsArray()        mem_ds = None     band = None     return array  shapefile = 'D:\G3P\DATA\Shapefile\Africa_SHP\Africa.shp' source_ds = ogr.Open(shapefile)  # calculate the cellsize cellsize = Lon_MSWEP[:][1] - Lon_MSWEP[:][0]   # create the mask mask = makeMask(Lon_MSWEP,Lat_MSWEP,cellsize)  Now if I implement the following code, the precipitation data for the first day (from the time-series) can be obtained with shape of 1800x3600: precip = np.ma.masked_where(mask==0,Pre_MSWEP[0,:,:])  I tried to use a for loop to mask the precipitation data for the entire time series (time, lon, lat) over the area of interest. however, the below code gives me a 2-D data, probably for the last day. Why is that? for i in range(len(Pre_MSWEP)):     precip = np.ma.masked_where(mask==0,Pre_MSWEP[i,:,:]) Cascading Drop down in SharePoint Online I'm trying to implement cascading drop down for list in SharePoint online  I have 3 different list with name Countries , States, cities.  and the master list Address in which I have Fields Country , State, City.  I'm trying to display Sates for selected country. and City for selected States in SharePoint Online list How to set AUTO-SCROLLING of JTextArea in Java GUI? What software works well for viewing massive TIFF images on Windows 7? What is the correct vector input for a texture connected to a Cycles lamp so that I can make a projector-like textured light?  I am trying to make an projector-like effect with a textured light in Cycles, currently trying it out with a Spot type of lamp, but I am open to any solution involving other lamp types if they work correctly.  The problem is that whatever vector input I use, the texture is always projected downwards, towards the global $-Z$ axis in scene world space, no matter where I point my spot light. I would like to have the texture always project "forward" towards the the direction the spot light is pointing, in the local $-Z$ axis.    The plan would then be to use this spot at several places in my scene, pointing at different directions, and as it currently stands I would have to have a different node setup for each spot instance, manually compensating for each unique rotation in the scene, which would quickly become unpractical.  I have searched around the internet and I am currently using a solution similar to the one on this .  Is there any better method, perhaps involving some funky Vector Math, or is this not currently supported? I'm trying to include Arabic text in an English document (I'm a new latex user), but I can't seem to get any Arabic text to render at all, using xelatex or any kind of tex. I'm using texshop 3.51 on a mac. I can't get this basic example to work, it just displays question marks in the output pdf.  \documentclass[12pt]{article} \usepackage[utf]{arabxetex} \newfontfamily\arabicfont[Script=Arabic]{Amiri} \begin{document} \begin{arab}[voc] وَهَذِهِ فِقرَةٌ بِالعَرَبِيَة مَعَ كَلِمَة اِنكلِيزِيَة \end{arab} \end{document}     I've downloaded Amiri (and also Scheherazade and Lateef) into Fontbook, and they show up if I go Source->Font->Show Fonts in texshop. If I remove the Amiri part it still doesn't work.   Is there anything I can do? I've looked at other links here, like  and  but I can't even render any of those examples.   Thank you so much for any help! I'll love you forever if I can get this to work. Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$ How to access "The grimm Troupe" and "Hidden dreams" content in Hollow Knight? In these two official announcements from Team Cherry, it's said:       Grimm’s quest, and all other new features can be accessed at any point   in your Hollow Knight journey.        Hollow Knight: Hidden Dreams content is accessible at any point in the   game, whether starting fresh or scouring for completion.   I still haven't find any way to start the quests from the menus or during beginning of the game. Some sources say the content can only be accessed late in the game from specific locations.  So, is Team Cherry simply lying in our faces? How do you scrape AJAX pages? Please advise how to scrape AJAX pages. Find the sum $\sum_{n=1}^{\infty} \frac{\ln n}{n(n- \ln n)}$ Find the following sum : $\sum_{n=1}^{\infty} \frac{\ln n }{n(n- \ln n)}$  I couldn't find any way to solve.   I just want a hint, how to initiate? I flew a long range flight carrying my laptop, a quite heavy one, inside a neoprene briefcase in the passenger cabin. The recommendation by the aircrew was to place it in the overhead compartment or under the seat in front of me. However, during take-off and landing, the vibrations on the plane are quite strong and, as a result, it received minor damage.   Placing them in the overhead compartment might be equivalent to placing it on the floor under the seat, with the added issue of additional luggage in the compartment shifting.  I considered the alternative of holding the laptop by the handle while sitting, so it won't be any contact with the aircraft's floor. This is impracticable during cruise, but I thought it could be better during the take-off and landing segments. Another option I considered is to wrap it with completely with bubble wrap before boarding the plane.   Which is the safest way to transport a laptop during flight? Are there any research careers except professorship for a person holding PhD in pure mathematics? Let $G$ be a connected planar graph with a planar embedding where every face boundary is a cycle of even length. Prove that $G$ is bipartite.  Any hints/tips will be greatly appreciated. Counting in a rectangular grid with obstacles I was asked to find the no. of ways to get from (0,0) to (8,8) with the 4 points of the shaded box unpassable, aka I can't use the 4 points namely (3,3)(4,4)(3,4)(4,3) while on my way to (8,8). Right and up movements.  I know it is something like a pascal triangle and worked out the solution of 4050 ways.  May I know if there are any faster means using permutation formula?  Thank you in advance. How can animals in the wizarding world go close to extinction? How to create a fancy table of contents for Beamer How can I create a fancy-looking table of contents for a Beamer presentation?    \documentclass{beamer} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc}  \begin{document}  \frame{ \tableofcontents }  \section{Foo bar} \frame{} \section{Foo bar} \frame{} \section{Foo bar} \frame{} \section{Foo bar} \frame{} \section{Foo bar} \frame{} \section{Foo bar} \frame{} \section{Foo bar} \frame{}  \end{document} Relation between intensity of light and refractive index How can I get id,class or name attr an element with jquery Can we create a subsection of the References Cited section with different reference numbering? I can't think of a decent reason to allow editing audit messages (like  or ). I have abused it for fun before but it really has no purpose other than joking or obfuscating your actions. For that I think that such messages should be untouchable. Please make them so.