Does the universe update time in some finite interval?
Is time continuous or discrete?
How many constructor arguments is too many? Let's say you have a class called Customer, which contains the following fields:   UserName Email First Name Last Name   Let's also say that according to your business logic, all Customer objects must have these four properties defined.  Now, we can do this pretty easily by forcing the constructor to specify each of these properties.  But it's pretty easy to see how this can spiral out of control when you are forced to add more required fields to the Customer object.    I've seen classes that take in 20+ arguments into their constructor and it's just a pain to use them.  But, alternatively, if you don't require these fields you run into the risk of having undefined information, or worse, object referencing errors if you rely on the calling code to specify these properties.  Are there any alternatives to this or do you you just have to decide whether X amount of constructor arguments is too many for you to live with? Let $G$ be a finite group and $N$ a normal subgroup of $G$ of index $4$. Prove that $G$ has a subgroup of index $2$ (hence normal) and if $G/H$ is not cyclic then $G$ is equal to the union of three proper subgroups.   I understand that $G/H$ is isomorphic to $\mathbb{Z}_4$ or $\mathbb{Z}_2\times \mathbb{Z}_2$. Let $K^*$ be a subgroup of $G/H$ of order $2$. Then $K^*\cong K/H$ for some $K$ such that $H$ is normal in $K$ and hence $[G:K]=[G/H:K/H]=4/2=2$.  If $G/H$ is not cyclic then $G/H\cong \mathbb{Z}_2\times \mathbb{Z}_2$. I don't know how to prove $G$ is the union of three subgroups. Could it be true that as $G/H$ is the union of three proper subgroups $K_1^*,K_2^*,K_3^*$ then the corresponding groups $K_1,K_2,K_3$ have union equal to $G$? Would anyone give me a hint to prove this?  Thank you. What are the differences between the original Kaito Kid specials vs. the new Kaito Kid 1412 series? I am currently watching . Should I watch the other  anime films?  What's the difference between this version and the 1412 version?  And another question, what's the meaning of 1412? Unable to understand the syntax of the command find The find command seems to differ from other Unix commands.  Why is there the empty curly brackets and a backward flash at the end of the following command?  find * -perm 777 -exec chmod 770 {} \;   I found one reason for the curly brackets but not for the backward flash.   The curly brackets are apparently for the path     Same as -exec, except that ``{}'' is   replaced with as many pathnames as   possible for each invocation of   utility When is "Y" a vowel? In school we are taught the vowels: A, E, I, O, U, and sometimes Y.    got me thinking about when the letter Y is considered to be a vowel.  I understand (perhaps incorrectly) that in words like bicycle and why it is a vowel. What about the word voyeur (as mentioned in the XKCD alt-text)?   If I've got this backwards, and Y is almost always a vowel, how can I tell when it is a consonant? Thinking back, I don't think my education ever covered the difference between them, we just memorized which letters were which. Octal number literals: When? Why? Ever? I have never used octal numbers in my code nor come across any code that used it (hexadecimal and bit twiddling notwithstanding).  I started programming in C/C++ about 1994 so maybe I'm too young for this? Does older code use octal? C includes support for these by prepending a 0, but where is the code that uses these base 8 number literals? LaTeX figures side by side My competitor is using Alexa to see what I am doing. I need to get stop Alexa from including my sites in their rankings. How can I do so?   Is it possible to deny access to any visitor with the Alexa toolbar and deny access to Alexa bot requests? How to draw circle, square, and triangle marks in TikZ picture? Circular determinant problem I'm stuck in this question: How calculate this determinant ? $$\Delta=\left|\begin{array}{cccccc} 1&amp;2&amp;3&amp;\cdots&amp;\cdots&amp;n\\ n&amp;1&amp;2&amp;\cdots&amp;\cdots&amp; n-1\\ n-1&amp;n&amp;1&amp;\cdots&amp;\cdots&amp;n-2\\ \vdots &amp;\ddots &amp; \ddots&amp;\ddots&amp;&amp;\vdots\\ \vdots &amp;\ddots &amp; \ddots&amp;\ddots&amp;\ddots&amp;\vdots\\ 2&amp;3&amp;4&amp;\cdots&amp;\cdots&amp;1 \end{array}\right|$$ Thanks a lot. The gravitational force on your body, called your weight, pushes you down onto the floor. $$W=mg$$ So, what is the weight equation through general relativity? Nonstandard normal distribution TikZ is undergoing lots of development with new features being added, but the versions distributed with standard TeX releases are often a little old. How do I get the latest version? If I want to be sure that I get the latest stable version, how do I do that?    Note: I'm not asking this question for myself, but because a question like this seems to be useful for pointing to it when a new feature of TikZ is mentioned in an answer to some other question. Feel free to post answers for any operating system/TeX distribution combination. This is a question from my proofs course review list that I have had trouble understanding.   I understand the concept of disjoint sets.  I'm not sure what they mean by countable. How would one prove a set is countable and furthermore, that the union of two countable sets is countable.  Please help me get started with the question by understanding this concept. How to upload a file to a WCF Service? I've build a WCF Service to accept a file and write it to disk. The front-end consists of a page with SWFUpload which is handling the upload on the client side. Apparently, SWFUpload posts the data with a Content Type of: multipart/form-data.  I would think this ok but on the Service side I get an error. The error is "ProtocolException" expecting text/xml. I've tried different message encodings in the bindings but nothing seems to work.  How can I get this file uploaded using multipart/form-data? How to dynamically add JSF components Is there a standard "never returns" attribute for C# functions? I would like to understand how Physicists think of space-time in the context of String Theory. I understand that there are $3$ large space dimensions, a time dimension, and $6$ or $7$ (or $22$) extra dimensions, and all these dimensions need to fit together in a way such that the extra dimensions are compactified (with a Calabi-Yau or $G_2$ structure).   My question, however is not about the possible $10$, $11$ or $26$ dimensional manifolds that may be possible, but about whether string theorists consider space-time as somehow quantized (or discrete), or rather as a continuous manifold, or are both options possible? In other words, can strings move continuously through space, or are there a discrete set of locations where strings can be, and does string theory rule out one of the options?  How about the same question in loop quantum gravity (LQG)? Should I think of the spin networks in LQG as describing a discrete space-time?  Thanks for your insight, or any references you may be able to provide! Text won't appear in interface? There is one problem, it seems that text won't appear on my program. The three images show the errors and also my laptop specs (I believe I just have very small amount of laptop power that makes Blender glitch).  Everything else works fine (zooming, panning, rotating, etc.) and the buttons are still there and do what they're supposed to do, but the text just won't appear.  Might anybody know how to fix this?        The drive update didn't help either. I know a way around it though, does anybody know a page which shows screenshots of more or less the buttons on blender Discriminant analysis vs logistic regression I found some pros of discriminant analysis and I've got questions about them. So:     When the classes are well-separated, the parameter estimates for   logistic regression are surprisingly unstable. Coefficients may go to   infinity. LDA doesn't suffer from this problem.      If number of features is small and the distribution of the predictors   $X$ is approximately normal in each of the classes, the linear   discriminant model is again more stable than the logistic regression   model.    What is stability and why is it important? (If logistic regression provides a good fit that does its job, then why should I care about stability?)      LDA is popular when we have more than two response classes, because it   also provides low-dimensional views of the data.    I just don't understand that. How does LDA provide low-dimensional views? If you can name more pros or cons, that would be nice.