The Dell P2421DC  says it can deliver 65W via USB-C.  Can it charge the 16" MacBook Pro?
I own a 2016 Macbook (with the USB-C charging) - at the time and in response to all of the reports of poor cables and poor chargers, I bought a meter so I could see what the throughput of my cables/chargers was. However, having run some tests I'm now not sure what to consider normal / what is harmless to the battery.   For all tests I used an original Apple C-C cable - though was able to replicate with two third party cables I own.  I have the original Apple block charging at 14.3 V / 1.99 A and a third party block that charges the same.  Another third party block which advertises USB PD and 3 A is currently charging at 20 V / 1.43 A  I've done some research online but I can't find any articles that indicate what a normal USB PD output is relative to the devices that connect to it and would appreciate any guidance / assistance.   TL;DR: Have Apple charger which charges at one voltage/amperage. Bought several others advertised at PD which are higher voltage, lower amperage. Not sure what is 'safe', or 'fast', or does least overall damage to battery.
Can somebody please check if my proof is okay?  Prove that $||z_1|-|z_2|| \leq |z_1-z_2|$.  Attempt: This proof seems similar to the triangle inequality proof.  $$\begin{split} |z_1-z_2|^2 &amp;= (z_1-z_2) \overline{(z_1-z_2)} \\ &amp;= (z_1-z_2)(\bar z_1 - \bar z_2) \\ &amp;= z_1\bar z_1 - z_1 \bar z_2 - \bar z_1 z_2 + z_2 \bar z_2\\ &amp;=|z_1|^2 - 2Re(z_1 \bar z_2) + |z_2|^2\\ &amp; \geq |z_1|^2 -2|z_1 \bar z_2| + |z_2|^2 \\ &amp;= |z_1|^2 - 2|z_1||z_2| + |z_2|^2 \\ &amp;= (|z_1| - |z_2|)^2. \end{split}$$  Taking the square root of both sides gives $|z_1|-|z_2| \leq |z_1-z_2|$  Can I just take the norm of both sides so that $||z_1|-|z_2|| \leq ||z_1-z_2|| = |z_1-z_2|$?  Thank you. How can we print line numbers to the log in java How to print line numbers to the log. Say when outputting some information to the log, I also want to print the line number where that output is in the source code. As we can see in the stack trace, it displays the line number where the exception has occurred. Stack trace is available on the exception object.  Other alternative could be like manually including the line number when printing to the log. Is there any other way? Default gender, "Male" or "Female" Should our default gender when selecting male/female on the dropdown list be based on the local  (if a country have more female than male then female is the default value)? For holomorphic functions, if $\{f_n\}\to f$ uniformly on compact sets, then the same is true for the derivatives. Let $\Omega$ be an open subset in $\mathbb{C}$. Let $\{f_n\}$ be a sequence of holomorphic functions on $\Omega$ such that $f_n\to f$ pointwise and converges uniformly on any compact subset $K\subseteq \Omega$. Then by Cauchy Theorem and Morera Theorem, $f$ is holomorphic. Let $f_n$ and $f'$ be the derivatives of $f_n$ and $f$ respectively. Prove that $f_n'\to f'$ uniformly on any compact subset $K\subseteq \Omega$.   How to prove? Add different materials to different parts of a mesh? How do you add more than one material to a mesh?   I have tried adding two materials to the object, and then assigning one of the materials to a vertex-group, but I could not find a place to assign it.  I am making a striped bouncy ball that I want to deform, so adding a different material by separating the mesh into different objects would not be ideal. How do I set a default host for nginx? What was the Historical Precursor for .NET Attributes? What languages or platforms influenced the .NET 1.0 Team to build-in the concept of Attributes from the very start? Was this an Aspect-Oriented thing? Serialization? or something else? I was still in VB6-land at this time, and never used any of the pre-1.0 .NET versions. While reading a question here whose answer was Stephen Baxter's &quot;Light of Other Days&quot; book, it reminded me of a short story I read with a similar idea. Probably read at least 30-40 years ago, in English. The fact that the Government has invented a device that can view the past is made public (by a whistleblower, I believe). Historians go nuts besieging the government to look at their favorite time periods to reveal the truth about various historical &quot;facts&quot; and or &quot;mysteries&quot; (Who shot JFK? Who was Jack the Ripper? Was Helen of Troy really that beautiful? Did Jesus exist? etc, etc.) And the government is stonewalls most of them and claims it's expensive to operate, hard to control to get exact time/location, etc. So someone (maybe the whistleblower?), knowing it's possible, does math/construction and builds his own version, and realizes it's easy to make, cheap to operate, and easy to use. So he makes plans to stick it to the government by releasing the info. Maybe he tries to force the government to release the info, or they realize he has made it, so they grab him and try to convince him to stop. But he is not convinced until they tell him, it can't see back very far (maybe just a few days/weeks, because it needs exponentially more power the further you look back.) Finally the agents tell him: &quot;Don't you see, you can use it to see what's happening just a few minutes ago, or even now. Your company can't make widgets? Zoom in on your competitors and see how they make them. Think your wife is fooling around on you? Zoom in on her and track her to see if she is. Your pretty neighbor is taking a bath now? Zoom in and watch her... These devices mean no one will have any privacy now.&quot; At which point he tells them it's already too late. They kept him there so long that the letters he mailed will already be delivered to various newspapers, scientists, historians, etc. Considering the three types of Devil Fruits that has been explained are 1. Paramecia Type - where the user can get super human abilities and change their body parts into weapons, etc. 2. Zoan type - where the use can turn into a particular animal and inherit its abilities 3. Logia Type - where the user's body inherits a particular element and the body becomes like air which cannot be touched or damaged by non Haki users.  So what exactly is the type of Gomu Gomu no Mi? It cannot be Zoan or Logia. It's very close to a Paramecia but still doesn't have a logical explanation to be of Paramecia type! So is it some special type of Devil Fruit? Doing a little reading over the break (The Probabilistic Method by Alon and Spencer); can't come up with the solution for this seemingly simple (and perhaps even a little surprising?) result:     (A-S 1.6.3) Prove that for every two independent identically distributed real random variables $X$ and $Y$,   $$Pr[|X-Y| \leq 2] \leq 3 Pr[|X-Y| \leq 1].$$ During the last phase of layout I frequently get a single line or two on a separate page. Rather then pulling the whole paragraph on that last page I would like to "squeeze" the lines on the previous page a bit.  Is there a way to mark the current page to be squeezed a bit if necessary, but let LaTeX reset this marking automatically after the page is done? How do I recursively create a folder inside another non-existent folder? I want to create this folder: $HOME/a/b/c/d while $HOME/a has not yet been created! Is it possible with one line in Terminal? grub issues message at boot - "error - can't find command hwmatch" This question  is exactly what I'm asking but was closed as non reproducible. Mine is very reproducible.  Ubuntu 18.04 freshly installed on a 64-bit UEFI machine. Default grub boot options work fine, but I wanted to add a brief countdown (my normal config).  After editing /etc/default/grub as normal and running sudo update-grub, the countdown works, but I get the error shown in the question title.  I tried the solution (copying files) in the closed question but it didn't seem to fit my configuration. Frankly I found the answer confusing.  I also tried editing /etc/grub.d/10_linux to comment out the IF-THEN structure that uses hwmatch. After that I did a sudo update-grub but I still got the error.  How can I get my countdown and not see this error?  Edit per comments -  Stock grub as installed (all non-commented-out lines shown)  GRUB_DEFAULT=0 GRUB_TIMEOUT_STYLE=hidden GRUB_TIMEOUT=0 GRUB_DISTRIBUTOR=`lsb_release -i -s 2&gt; /dev/null || echo Debian` GRUB_CMDLINE_LINUX_DEFAULT="quiet splash" GRUB_CMDLINE_LINUX=""   Edited grub to give countdown (all non-commented-out lines shown)  GRUB_DEFAULT=0 GRUB_TIMEOUT_STYLE=countdown GRUB_TIMEOUT=5 GRUB_DISTRIBUTOR=`lsb_release -i -s 2&gt; /dev/null || echo Debian` GRUB_CMDLINE_LINUX_DEFAULT="quiet splash" GRUB_CMDLINE_LINUX="" Move item to folder when added/edited (SP2013 or O365) How to move item to folder automatically when it has been added or edited in a library? The folder is in the same library. The correct folder will be defined by metadata. This should happen automatically when the item has been added or edited. The listitem Id should be preserved. No server-side code should be deployed.  Can this be done using workflows (SP2010/SP2013)? If not then what would be the other options? I am not a native speaker. On a previous question of mine, I thanked for an answer by saying:     So the phrase is not an idiom, since it is applied in its literal sense.   I consciously chose since over because, because — well, I like that usage of since, even though I know that some (native speakers) don't like it. Nonetheless, that choice got me thinking for a while, and it occurred to me that I even could have used more alternatives, namely as or for, without changing the meaning.   So, on a general note, here are the alternatives:        Statement A (is true), because statement B (is true).   Statement A (is true), since statement B (is true).   Statement A (is true), as statement B (is true).   Statement A (is true), for statement B (is true).      Are these completely interchangeable? Or interchangeable in certain situations? Or can you point out any (not-so-)subtle differences between any of them? Are there even more synonyms? Browsing Quora, I saw the following  with contradicting answers.  For the :     The bits are represented by certain orientations of magnetic fields   which shouldn't have any effect on gravitational mass.   But,  contradicts that one:     Most importantly, higher information content correlates with a more   energetic configuration and this is true regardless of the particular   type of storage... Now, as per Einstein's most famous formula, energy   is equivalent to mass.   Which answer is correct? Which is the best workflow to follow when texturing and importing textures from Substance Painter? So, I'm planning to texture a model using Substance Painter and will render it using the Cycles Render Engine. I will be also using the Principle Shader, heavily, to achieve realistic renders. So, which workflow in Substance Painter so that the textures are accurately rendered in Blender? Specular-Glossy? Or should I go with Metalic-Roughness? Find three real orthogonal matrices of order $3$ having all integer entries.   I have no idea to solve the problem. I don't know how to start. If $A$ be such matrix then $AA^T=A^TA=I_3$. Please help me. GLR Test for 2 samples from exponential distributions It's so annoying to drag it over and over again. How to change default position of a console?