align objects on a surface I got two cube objects I want two align their bottom to be on one surface , like they are buildings on the ground. i dont want to change objects center
Snap face to grid I need to move an entire object, so that one of the faces is exactly at Z=0. What is the best way to do this? Basically, if I could select Grid or 3D Cursor in the Snap To menu, that would be perfect:    My current workaround is to select the face, copy its Z coordinate, select all, move it all down by that same amount. Is there a faster way?
Using one group separator for integer part and another for decimal part (siunitx) I thought I was able to do something like this before, but I can't find my solution.  I would like to format my large numbers as follows:   12,504.3124 2359 3   I know I can use siunitx to partially set this up, but I'm not getting the results I want:  \documentclass{article} \usepackage{siunitx}  \newcommand\aenumA[1][4]{%%   \num[group-separator={,},        group-digits=integer,        ]}  \newcommand\aenumB[1][4]{%%   \num[group-digits=decimal,        ]}  \pagestyle{empty} \begin{document}    \aenumA{12504.312423593}    \aenumB{12504.312423593}  \end{document}   I would like a hybrid solution (commas in the integer part and spaces in the decimal).  I would actually also like to be able to group differently between the two: every three digits in the integer part, every four digits in the decimal part.  Is there a straight-forward way to do this with siunitx?  Or, do I need to split the number at the decimal and treat the two parts separately and then glue them back together? Proving ${n \choose p} \equiv \Bigl[\frac{n}{p}\Bigr] \ (\text{mod} \ p)$ Username and Password not recognized when logging into Minecraft We just got a new laptop (ASUS) though we did have a mac.  We are trying to log onto Mojang to download Minecraft and it keeps saying, "The username and password are not recognized."   We have done all the usual procedures; we have reset the password, we are using the email, not the username to sign in, and it looks like the minecraft login servers are working etc. etc.  We quit Minecraft on the old computer and shut off that computer thinking that was the issue.   Still, we can't get onto Mojang.  We are accessing mincraft through firefox and trying to download it to the new computer but we can't get into the account to do that!  What in the world could be the issue? I understand that in a lot of big-lab fields it is common for the principal investigator to append their name to a paper even if they did not write the paper, design the experiment, or collect data since they spend energy securing funding, and managing the whole lab. What about for small labs?  What are the requirements for a supervisor to be included as an author on a paper, as opposed to just appearing in the acknowledgements? If you are working on your own projects independently of your supervisor, but using funding provided by your supervisor (how does this change when the funding provides resources versus just your salary), are you suppose to add them as authors or just acknowledge the source of funding? How does one create, caption, label and refer to a subfigure? Explanation of seasons in "A Song of Ice and Fire" What can an app do with the "USE ACCOUNTS ON THE DEVICE" permission? Can such an app freely read my emails/calendar/message/docs/etc.?  The "USE ACCOUNTS ON THE DEVICE" permission is also known for developers as .  Example of such apps: , . Currently, this site embeds YouTube videos as Flash. (see an example: )  However, this is not the best solution, as now YouTube also supports HTML5, and some users (like me!) prefer to use HTML5 player instead of Flash. Supposedly, it should also work on devices that don't have Flash player (I can't confirm because I don't have one).  The solution seems quite simple: just change the embed code to an iframe, as described at     EDIT:  says:     Note: YouTube &lt;object&gt; embeds were  on January 27, 2015. Please migrate your applications to the , which can intelligently use whichever embedded player – HTML (&lt;video&gt;) or Flash (&lt;object&gt;) – the client supports. Low wifi signal in 14.04 LTS How to trigger a warning when a certain function is called (not compiled)? Integrating $\int^{\infty}_0 e^{-x^2}\,dx$ using Feynman's parametrization trick Inspired by :  In my answer, I had stated that Patronuses appear to not be physical beings because they have no effect on anything other than Dementors.     They don't cause leaves to stir in the movies. They passed straight through the tent. They don't appear to be bound by normal laws pf physics and can travel great distances almost immediately (Shacklebolt was presumably in London when his Patronus issued the warning). They can apparently walk across water without sinking (as they did in The Prisoner of Azkaban). They can jump, walk, and float in mid-air (as seen in the Room of Requirement in the movie version of The Order of the Phoenix). They make no footprints in lightly powdered snow (The Deathly Hallows Chapter 19) and make no sound of crunching snow as Harry does (further down the same page in Chapter 19).   I stated incorrectly that the only place in canon where there is an exception is with Dementors, where the Patronus physically fends them off with its horns.  A Dementor is clearly a physical being, if it prised Dudley's mouth open and (in the movie anyway) physically slid open the train door.)   Based on comments and further thought, I can think of at least two other examples when a Patronus interacts physically with a physical being.   As pointed out by Slytherincess, a Patronus can fend off a Lethifold (Living Shroud). When training, the Patonus took form against a Boggart, which had taken the form of a Dementor.   All three of these things have, AFAIK, only three things in common (but I may be off).   They are evil They are magical They are, indeed, physical beings.   So the question is, why can a Patronus interact with all three of these, but seems to have no physical effect on everyday things? I have two desktops (one of which I'm using as a server), my main machine has a weaker i5 cpu, my server has a stronger i7 cpu. On my main machine I am experiencing stutters because the CPU often runs at full load under regular use (strangely, I also use upwards of 10GB of RAM, no joke... The heaviest program I'm running is google chrome).  I was wondering if there was any possible way to share a cpu from one machine over network to another machine as an emulated processor, which could be used by the client machine in a similar sort of fashion as virtual machines use or "borrow" their host's cpu.  This way I could offload work onto the server's cpu when the main cpu is under full load to prevent annoyances like stutter, and possibly combine both of them for more intense tasks (like decryption, compilation, archiving or other multithreaded stuff)  Does this sort of software exist, or has anyone at least tried to make it? If not, is it feasible?  (This sort of program would also ideally be able to offload data onto the server's RAM for faster processing, since the now common gigabit connections get to have nearly the same speeds as a standard HDD this doesn't sound far fetched either)  To reiterate, what I am primarily looking for is the ability to offload work from a system's main cpu when it is under too much load and forwarding it to another computer's cpu over network. 3/4 circle with plus in it? I initially thought that dark energy must in some way violate conservation of mass and energy since the component of the energy density of space that comes from dark energy is constant, and space is expanding. Therefore, as space expands the energy in the universe that comes from dark energy would increase. I presumed the source of this energy was not coming from the conversion of other types of energy to dark energy, so it must violate conservation.  I decided to Google this and came upon this article:    It says that dark energy does NOT violate conservation and quotes Carroll, Press, and Turner (1992):  "…the patch does negative work on its surroundings, because it has negative pressure. Assuming the patch expands adiabatically [i.e. without loss or gain of heat], one may equate this negative work to the increase of mass/energy of the patch. One thereby recovers the correct equation of state for dark energy: P = – ρ c2. So the mathematics is consistent."  Is there a way to explain this in layman's terms? (The blog attempted to do this, but it was very unclear to me.) More specifically, can you explain where my initial train of thought described above fails when I erroneously concluded that dark energy violates conservation?  Thank you. Combinatorics, choosing 3 elements from 100 In how many ways can we pick three different numbers out of the group $1,2,3,\dots,100$ such that the largest number is larger than the product of the two smaller ones? (The order in which we pick the numbers does not matter.) Can I use a EF lens with a EF-S camera? Intuition/Real-life Examples: Pairwise Independence vs (Mutual) Independence Would someone please advance/discuss some real-life situations falsities $1, 2$? I'd like to intuit why these are false. As a neophyte, since I still need to compute the probabilities for the examples in the two answers to apprehend them, I haven't naturalised these concepts yet. Thus, I beg leave to ask about other real-life examples which require less or no computations.  I tried and would appreciate less numerical examples than  and , and  Examples 1.22 and 1.23 on P39 of Introduction to Pr by Bertsekas.  $1.$ Pairwise Independence $\require{cancel} \cancel{\implies}$ (Mutual) Independence.      $2.$ Pairwise Independence $\require{cancel} \cancel{\Longleftarrow}$ (Mutual) Independence.         P38 defines (Mutual) Independence :    For all $S \subseteq \{1, ..., n - 1, n\} $ and events $A_i$, $Pr(\cap_{i \in S} A_i) = \Pi_{i \in S} A_i.$ How can i render the reflections i see in the Look Dev viewport in Blender 2.8 i'm finding blender 2.8 confusing and i'm relatively new to blender in general anyway. While looking at my model in the Look Dev view port i can see reflections.        However, when i render my scene in eevee (and cycles), the reflections aren't rendered     Is there something i'm doing wrong or an option i haven't enabled? Converting string arrays into Map