Taylor's Series with Fibonacci coefficients
The generating function for the Fibonacci numbers
Should I use UUID as well as ID Is it okay to have 100% CPU usage constantly? I often do 3D rendering in the background which consumes 100% of the CPU (I lower the priority of the process so that it does not hinder any tasks I am working on).  My concern/question is whether it is okay to run a computer/laptop with a 100% CPU load constantly.  Could this reduce the lifespan of the system? My change password interface is not working on java eclipse web application I'm looking for a shapefile containing an 1000m or 2000m UTM grid ("graticule"). All I was about to find on the web is a 10000m UTM grid (here: ) and I am aware that a 1000m UTM grid for the whole world might be quite big.  That's why I'm now wondering if and how it would be possible to generate such a shapefile for a part of the world. I would prefer to use open source tools like gdal. Others output formats than a shapefile might be ok too.   Has anyone an idea? Word meaning you are describing something as if to a child Looking for a word that describes the feeling of being told something in an overly simplified manner that feels offensive. Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$. This seems to be a common exercise question, however I am having trouble with it. The hint is to use a map that associates the k-plane to its orthogonal complement. But I have not been able to show this as a diffeomorphism.   I was thinking of using the orthonormal basis and extending it to get a basis of $\mathbb{R}^n$, then using the remaining $n-k$ vectors to generate the orthogonal complement. Am I on the right path??How else should I approach this otherwise?? Asking similar questions - process? drush/drush dev-master requires codegyre/robo ~1.0.0-beta1 I'm transitioning a Drupal 6 site to Drupal 8.1 so following the official instructions, I set up a new install in its own directory. Since this is only one site, I followed the instructions to put my database credentials in sites/default/default.settings.php after the declaration of the $databases array.  Running drush --status returns the following.  Drush version          :  8.1-dev                                           Drush temp directory   :  /tmp                                              Drush configuration    :                                                    Drush alias files      :                                                    Drupal root            :  /media/psf/Home/apps/newp                         Drupal Settings File   :  MISSING   Since this Drupal is 8.1-dev that must mean I need to upgrade it. Since this is a global install using Composer, I run composer global update.     Your requirements could not be resolved to an installable set of   packages drush/drush dev-master requires codegyre/robo ~1.0.0-beta1   Checking the drush-ops page on github doesn't show any anomalies like this nor my Google search.   What am I overlooking? I'm gearing up to deploy a Drupal 7 site and I can't find any documentation about what the recommended security-conscious file and directory permissions should be set to.  Specifically default/files/ (also sub directories?), settings.php, .htaccess and anything else I should be aware of. I'm trying to boot Canonical's Azure 16.04 .vhd file in a VirtualBox VM and it hangs at "non blocking pool is initialized".  It works in Hyper-V, so it may only be a bug in virtual box (5.0.20). Is "am" in "I am right" an auxiliary verb? Consider these sentences:     The ice was thick enough to walk on.      They were in a hurry.      There is enough salt in it.      It is freezing.      I am right.   Are the italicized verbs auxiliary verbs?    Update: Let me explain why I asked this question.  The above sentences are from exercise 6 "Auxiliary verbs" from the book .  From the 36 sentences in exercise 6, all except the above mentioned five sentences are indeed sentences that contain auxiliary verbs (may, must, can, will, had, etc.).   So, what happened here? Why are those five sentences in this exercise? Is it an oversight?    View image in full resolution here: UBUNTU 14.04 cheese booth not detect webcam Cheese Booth shows an error:     There was an error playing video from the webcam     I test if webcam works fine or not by opening google hangout, its works fine.    Please tell, what is the issue in cheese booth.  Note: Sometimes the cheese booth works fine but most of time not Mobile web refresher, part 3 Cardinalities of the intervals $(-1,1)$ and $[-1,1]$ NetworkManager not populating resolv.conf Is there any hint of of the first Wizarding War being an international event? Is there any hint that the MoM or anywhere else got support in combating voldemort the first time around? Or is everything completely UK-centric?  I can't remember anyone in the second war being specifically sent from europe to help, even though we see international wizards in book 4. But I don't think all the events of the first war are covered in the books.  So are other bodies like the MoM involved in the first war, or was it isolated in the UK? Is there a criterion to differentiate "thriller" from "horror"? Create Case thread Id using Apex (SOQL limit-proof) There are many posts about creating Case threadIds with Apex, notably   As the posters have noted, the SFDC rules of the threadId are subject to change over time and the only reliable way that I've seen is to do   // To be replaced with a real case Id. Id caseId = '500c0000008kJL5';   List&lt;Messaging.RenderEmailTemplateBodyResult&gt; renderResults =   Messaging.renderEmailTemplate(null, caseId, new List&lt;String&gt;{'{!Case.Thread_Id}'});  System.debug('this is the Case Thread Id: ' + renderResults[0].getMergedBody());   HOWEVER ... The method call Messaging.renderEmailTemplate burns a SOQL ()  So you can't prepopulate your Cases in an afterInsert or beforeUpdate Trigger because a transaction can be up to 2,000 (Platform Events), up to 10,000 (direct Apex DML) or more, typically, 200 rows.  All of these are > 100 SOQL limit.     So, before I go to the trouble of doing this in a chained set of async   tasks; is there more recent thinking on this subject of creating ThreadIds? How to make child process die after parent exits? Pressure and weight? (hydrostatic paradox) Consider two different shaped containers having same area: one is cylinder, the other is like an inverted pyramid (roughly). Both have the same level of water, the weight of the inverted pyramidal container will therefore be greater than that of the cylinder. But I know from Pascal's law that the pressure should be same in both containers. If the base areas are the same then the force (weight as measured by a scale) should also be the same. Why are the weights different?