Is a Whole Number A Rational Number
Are all integers fractions?
How should one maintain and update a MiKTeX installation? Will two-letter font style commands (\bf , \it , …) ever be resurrected in LaTeX? I understand that \bf and \it are now obsolete in LaTeX and that \textbf and \textit are proper, as they produce more sophisticated (in particular, cumulative and properly kerned) changes to font style. I have read the  and I understand the rules and their reasons, as well as the several other commands that are affected.  However, I find it convenient to use LaTeX for notetaking during lectures, and in that rushed environment, shortening a command by any number of keystrokes helps keep me from falling behind. \bf and its two-letter kin are still very useful to me for that reason, and once a presentation is finished I can go through and replace all appearances of \bf et al. with \textbf et al.  My question is this: is there a plan eventually to replace the short font style commands like \bf with the implementations of \textbf etc. some day, or should I expect \bf always to remain in existence but obsolete, for reasons of backward compatibility with original TeX? Original TeX has been greatly improved on in countless ways, but in the heat of transcription I sometimes miss its conciseness. Is there a cryptographic algorithm which is immune to side channel attacks? Is there any cryptographic algorithm immune to side channel attacks based on scan chain? In VLSI point of view. Restrict node list in entity reference field based on node field My "Article" nodes have a "domain" field that links to a taxonomy term. My "Article" nodes also have a repeatable "entity reference" field "more like this" that links to other "article" nodes.  How can i restrict the list in the "more like this" field to show only the nodes that have the same "taxonomy term" that the node i am currently editing ?  Thanks a lot ! ASCII art generator I think it would be a very useful and quality-improving feature.  As for me, when I speak on something, I often have a visual representation of how it works, or something. It's obvious there are many things (in algorithms, or, say, UI) which are much easier understood with pictures and diagrams, than from scarce text.  So I'd really like here to be a special answer form, where you can attach some visual things to better explain your ideas.  I imagine this form as just a canvas with few painting tools and some basic blocks and patterns. Existence of a simple closed curve which is not null-homotopic Problem. Assume that $U$ is an open and connected subset of $\mathbb R^2$, and $\gamma :[0,1]\to U$ is a closed curve, which is not null-homotopic in $U$ and not necessarily simple closed. Show that there exists a simple closed curve, which is not null-homotopic in $U$.  I am sure that this is a standard problem, and I am looking for an elegant, if possible, solution or a reference. I have in mind the following sketch of proof:  a. Construct a polygonal closed curve $\tilde\gamma$ which is homotopic with $\gamma$ in $U$.  b. Construct $\tilde\gamma$ so that it intersects itself in finitely many points, and not whole segments.  c. Use induction on the number of self–intersections of $\tilde\gamma$, in order to show that $\tilde\gamma$ is written as a product (in the fundamental group's sense) of simple closed polygonal curves. Is there such a thing as a deposit-only bank account? My employer wants me to give my routing-numbers, social-security numbers, and basically everything else required to take money out of my account, to several third-party direct-deposit websites (one for weekly paychecks, one for mileage reimbursements, etc.).  I am not comfortable giving my identity information away to all these places.  I'd like to give them access to an account which they can only deposit into, never withdraw (either a separate account, or, even better, a deposit-only alias to my real account).  Does such a thing exist?    [Edit] I'm not worried about the companies so much as I am worried about bad guys who inevitably hack those companies' databases, or get hired to work there.  This type of account would also be handy for giving read-only access to sites like mint.com or quicken.com, easing my mind about their hackers/unscrupulous employees. My fish's native habitat is rice fields. My fish's native habitat are rice fields.   Which one is correct? I'm pretty sure it's the first, since 'is' modifies 'habitat,' but it still sounds weird... What does \x mean in C/C++? What is the difference between below variables assignments?   var=23 var =23 var= 23 var = 23   Is there any difference in space around the assignment operator? \overbrace and \underbrace with square bracket Plurality of verb depending on plurality of list elements This question is also open on EL&amp;U:   Considering the amount of controversy it aroused, I believe it's past "Learners'" level.    An edit was suggested to my sentence.     There was were an orange, some grapes, two apples and a small pile of cherries on the plate.   In my native language plurality of the verb always follows plurality of the first element on the list. There were an orange,... sounds awkward to me, no matter what follows up. My simple solution was reordering:     There were some grapes, an orange, two apples and a small pile of cherries on the plate.   But that's not the first time I faced this situation and I'd like to know what the rules of grammar say about that — was my editor overzealous or am I trying to copy rules of my language that don't apply in English? If a person was sitting on a craft that has accelerated to near light speed speed from Earth (e.g. 99.999% of light speed) would there be any impact on his or her human biology due to relativistic effects on mass, time and distance?    For example, would the heart still be able to pump blood effectively if the relativistic mass of the blood has increased?    Or would accelerating the blood a bit further towards light speed requires more energy than when stationary on earth? Change icon on MATE main menu How can I change the default logo icon to a custom icon by the applications menu in Ubuntu MATE without changing the theme? Here is a question from my number theory class.  Prove  $$(p-k)!(k-1)!\equiv (-1)^k \text{ mod p} $$ Help please! I am aware of the basics of evolutionary theory, however I don't understand how mutations can add genes over time.   Am I correct in thinking that creatures within the same species who mutate to have an additional gene in their genome would normally be infertile?  Or am I misunderstanding that?  Can someone explain the process of the creation of genetic material through evolution?  Citation to a decent academic paper or book on the matter would be appreciated too. Is solving all of the exercises in a textbook a good idea? Is solving all of the exercises in a textbook a good idea? I'm particularly concerned with textbooks on mathematics. I have this obsession that I should solve all of the problems that a textbook has. It takes a lot of time and energy but usually I'm satisfied with the end result being me having a better understanding of that particular subject.   Any similar experience of this sort? How's this going to work in the long-run? Tony's suit is an engineering marvel, and they explain many facets of the technology to help give legitimacy to the special powers, abilities and weapons it has.  I never read the Iron Man comics, but in the movie they really don't have a technological explanation for how he miraculously seems to be unaffected by crushing G-forces of sudden acceleration, the inertia of sudden stops and hair-pin turns, and especially the blunt force trauma from getting smashed in the face with Thor's hammer.  Certainly it appears the suit takes punishment, but Tony always remains unscatched, never a collapsed lung, broken bone or even a bloody nose.  In my infantile understanding of theoretical physics, the same technology that would be used to counter G-forces and sudden blunt force trauma to the body inside would be the very same technology used for  which in my honest opinion would be a much more stunning technological achievement than his heralded Arc Reactor.  Was their ever an explanation proferred for this and if so was it indeed attributed to Anti-Gravity? Since many users are facing the NullReferenceException: Object reference not set to an instance of an object error in Unity, I thought that it would be a good idea to gather from multiple source some explanation and ways to fix this error.  Symptoms I am getting the error below appearing in my console, what does it mean and how do I fix it?  NullReferenceException: Object reference not set to an instance of an object