When I tried to run the blender it shows this I don't know how to solve this as I am new to coding. Anybody help me with that??
I can't execute newest Blender 2.80, it says that I need a graphics card that supports OpenGL 3.3 or higher ERROR: A graphics card and driver with support for OpenGL 3.3 or higher is required  Processor: AMD A6-3670 APU with Radeon(tm) HD Graphics, 2695MHz BIOS Version: HPQOEM - 1072009 Dedicated GPU:   This is a very old PC, but when I search online it seems that theoretically Blender 2.8 should run since my openGL is 4.4
Dirichlet's problem in the unit disk is to construct the harmonic function from the given continuous function on the boundary circle. It is solved by the convolution with the Poisson kernel, and we know that the constructed function has uniform limit which is the given continuous function as $r\to 1$, and we can complexify the solution by taking the Schwarz integral formula. Now (in this very particular case) does the imaginary part has a uniform limit? If it does, why don't we prove the uniqueness of the solution by a simple application of the Cauchy integral formula? Here is the proof that I reckon to be reasonable(which is what I expose here to be criticised)  We construct the Schwarz integral, or $\frac{1}{2\pi}\int _{0}^{2\pi}\frac{\exp(it)+z}{\exp{(it)}-z}u(\exp{(it)})\mathrm{d}t$. This function is an analytic function in the interior unit disk, and is continuous in the closed unit disk(its closure). Let this analytic function denoted by $f$, and another analytic function that has the same uniform limit function on the circle be $v$. Then $u-v$ is an complex analytic function in the interior of the unit disk, continuous on the closure, with boundary value identically zero. An application of Cauchy's integral formula gives rise to the conclusion that $u-v$ in identically zero on the entire disk.   Another question being if the boundary function has finite jump discontinuities, what is the behaviour of the convolution with the Poisson kernel near the discontinuous points? I created some linestring features in EPSG:32632 (WGS 84 / UTM zone 32N) exactly 10 000 m long.  QGIS calculates all line lengths (horizontal, vertical, diagonal) as 10 001.9 m. The measure tool explains "Project CRS transformation is turned on and ellipsoidal calculation is selected. The coordinates are transformed to the chosen ellipsoid (WGS84), and the distance is calculated in meters."  When I set the ellipsoid to "None / Planimetric" in project properties, I get the expected results (10 000 m).  I don't understand the phrase "coordinates are transformed to the chosen ellipsoid (WGS84)", is it a transformation to unprojected degrees (4326?)? Since 32632 already is based on WGS84, is there anything to transform? If there is a kind of "great circle" calculation involved, I would have expected lengths can only get smaller.  Is QGIS's calculation correct/meaningful, is it plain wrong or do I see rounding errors?  This are the geometries I tested:  LineString (370000 5615000, 370000 5625000) LineString (366464.46609406732022762 5616464.46609406732022762, 373535.53390593267977238 5623535.53390593267977238) LineString (365000 5620000, 375000 5620000) LineString (373535.53390593267977238 5616464.46609406638890505, 366464.46609406638890505 5623535.5339059317484498)   Edit as addition to MappaGnosis's answer: I forgot that in UTM , this seems to be the simple answer for the title question. How can I concatenate two arrays in Java? I need to concatenate two String arrays in Java.  void f(String[] first, String[] second) {     String[] both = ??? }   What is the easiest way to do this? Reputation for comments? I have seen many good comments that really improve the quality of questions and answers, and I think they deserve a bit of reputation (maybe just 1 point) for a upvote. Work in ArcGlobe and I want to calculate the coordinates of the globe latitude and longitude, but the coordinates from the mouse click is read from the screen, not the globe, because when I clicked on the corner of the screen it shows me the coordinates 0,0. How can I make it so that coordinates read with globe and not with the screen? import arcpy import pythonaddins  class ToolClass2(object):     &quot;&quot;&quot;Implementation for coord_addin.tool (Tool)&quot;&quot;&quot;     def __init__(self):         self.enabled = True         self.shape = &quot;NONE&quot; # Can set to &quot;Line&quot;, &quot;Circle&quot; or &quot;Rectangle&quot; for interactive shape drawing and to activate the onLine/Polygon/Circle event sinks.     def onMouseDown(self, x, y, button, shift):         pythonaddins.MessageBox(&quot;Long&quot; + &quot; &quot; + str(x) + '\n'+ &quot;Lat&quot;+ &quot; &quot; + str(y), 'Coordinates', 0)         pass     def onMouseDownMap(self, x, y, button, shift):         #pythonaddins.MessageBox(&quot;Long&quot; + &quot; &quot; + str(x) + '\n'+ &quot;Lat&quot;+ &quot; &quot; + str(y), 'Coordinates', 0)         pass     def onMouseUp(self, x, y, button, shift):         pass     def onMouseUpMap(self, x, y, button, shift):         pass     def onMouseMove(self, x, y, button, shift):         pass     def onMouseMoveMap(self, x, y, button, shift):         pass     def onDblClick(self):         pass     def onKeyDown(self, keycode, shift):         pass     def onKeyUp(self, keycode, shift):         pass     def deactivate(self):         pass     def onCircle(self, circle_geometry):         pass     def onLine(self, line_geometry):         pass     def onRectangle(self, rectangle_geometry):         pass Why intra-word ** highlighting is broken to protect programming_underscore_usage? Lock keys panel indicator for MATE Desktop I have no indicator LEDs on my keyboard to show whether Caps-Lock is on (I don't have Num-Lock and Scroll-Lock keys so the best option would be to have an indicator only for Caps Lock, but three indicators would be better than none)  I would really like to see the lock-keys status in the indicator panel so I can tell at a glance whether I'm typing my passwords correctly    I'm using Ubuntu MATE 16.04. I've seen  but it relates to Unity DE. If $a_0+\frac{a_1}{2}+\dots + \frac{a_n}{n+1}=0$ then $a_nx^n+\dots + a_0$ has a root in $[0,1]$ Let $P(x)=a_nx^n+a_{n-1}x^{n-1}+\dots +a_0$ be a real polynomial such that $a_0+\frac{a_1}{2}+\frac{a_2}{3}+\dots + \frac{a_n}{n+1}=0$.  Show that $P$ has a root in $[0,1]$. I would like proof verification and alternative proofs.  My solution:      notice that the antiderivative of $P(x)$ is $\frac{a_nx^{n+1}}{n+1}+\frac{a_{n-1}x^n}{n}+\dots + \frac{a_1x^2}{2}+a_0x+C$. From here $\int_{0}^1P(x)dx=a_0+\frac{a_1}{2}+\frac{a_2}{3}+\dots + \frac{a_n}{n+1}=0$. If $P$ had no roots then $P$ would be a strictly positive(or negative) continuous function, so its integral would be strictly positive ( or negative), a contradiction. Where does pp (PAR) unpack add (-a) files? What's the reasoning behind phrase "dissertation submitted in partial fulfillment of the requirements"? Phrase "dissertation submitted in partial fulfillment of the requirements" seems strange. Can one submit dissertation in full fulfillment of the requirements? How to count number of bases and subspaces of a given dimension in a vector space over a finite field? Let $V_{n}(F)$ be a vector space over the field $F=\mathbb Z_{p}$ with $\dim V_{n} = n$, i.e., the cardinality of $V_{n}(\mathbb Z_{p}) = p^{n}$. What is a general criterion to find the number of bases in such a vector space? For example, find the number of bases in $ V_{2}(\mathbb Z_{3})$. Further, how can we find the number of subspaces of dimension, say, $r$?   I need a justification with proof. I have a formula, but I am unable to understand the basic idea behind that formula. Mapping Russia - Int'l dateline splitting polygon Can we have a way to access Area 51 on the iOS and android app?  More sites would flourish due to more traffic. How to retrieve a module's path? I want to detect whether module has changed. Now, using inotify is simple, you just need to know the directory you want to get notifications from.  How do I retrieve a module's path in python? BasicTeX - how to identify packages that need to be added after an upgrade I am a new user of Ubuntu 12.04.   I installed Ubuntu and Windows XP, and I want to use both operating systems. When I restart or boot my PC the GRUB menu does not appear.  How can I solve this problem? Why Did Dumbledore Let Harry Give the Remains of the Diary Horcrux to Dobby? J.K. Rowling confirms that Dumbledore knew the destroyed diary was the remains of a Horcrux;     JKR: "In essence divided," exactly, the "essence" being the soul. So Dumbledore knew all along that he must have- well, he suspected until Chamber of Secrets, and then at the point where he saw what was clearly the remains of a Horcrux, in other words, the diary, he thinks, "Okay. There you go. And not only has he definitely done it, but he's got to have more than one, because he's treated this one very casually."      Yet Dumbledore allows Harry to take this very dark magical artifact and return it to Lucius Malfoy (in order to free Dobby):     ‘Professor Dumbledore,’ he said hurriedly, ‘can I give that diary back to Mr Malfoy, please?’   ‘Certainly, Harry,’ said Dumbledore calmly. ‘But hurry. The feast, remember.’   Harry grabbed the diary and dashed out of the office.   Chamber of Secrets - page 248 - Bloomsbury - chapter 18, Dobby's Reward   Why did Dumbledore allow Harry to take the Horcrux before he had fully examined it, especially as Dumbledore knew it was a Horcrux? The Peverell ring had a lethal curse placed on it for anyone who tried to put the ring on. Why didn't Dumbledore check the diary for additional curses or Dark Magic before giving it to Harry? I would have thought Dumbledore would have wanted to keep whatever Horcrux relics he found.   Also, do we know what happened to the diary after Harry gave it back to Lucius Malfoy and Lucius threw it aside? Are there any instances in canon that place the diary back in Dumbledore's hands? What is the ideal way to handle data pins D+ and D- on a USB power adapter to be compatible with fast charging on devices? Why is pressure in a liquid the same in all directions? I'd like answers both in the more intuitive side an on the more precise side.   Thinking of water as "cubes" of water, for example, would allow pressure in the z axis to be independent of the y or x axis. Choosing other "shapes", like a  triangular prism, yield different results. Will this fact, then, be dependent on the format of the molecules of the liquid ?  I've heard of the rotational symmetry of liquids. What is its precise statement ? Why is it true ? What are some good books for learning general relativity?