Looking at the question  it appears that you can either have a tool that can derive keys or bits, or can be used to sign and verify something. Is there an EC way to do both with the same keypair?
Are there any security risks using a single key-pair for both key-exchange and signing?  I'm mainly interested in using Curve25519 for key-exchange and Ed25519 for signing. But similar combinations, such as EC-DH and EC-Schnorr or even EC-DSA with the same key pair would be interesting too.   Curve25519 hashes the output of an x-coordinate only Diffie-Hellman key exchange Ed25519 is a slight variant of EC-Schnorr signatures.   I saw some recommendations to avoid using a single key for multiple purposes, but I couldn't find anything concrete.
I see the  on the user page.  It seems to edit posts sometimes.  What is it? And why has it downvoted over 1800 times? See also: Recursive matching with regular expressions in Javascript How to sort columns independently? Difference between Analytic and Holomorphic function A function $f : \mathbb{C} \rightarrow \mathbb{C}$ is said to be holomorphic in an open set $A \subset \mathbb{C}$ if it is differentiable at each point of the set $A$.  The function $f : \mathbb{C} \rightarrow \mathbb{C}$ is said to be analytic if it has power series representation.  We can prove that the two concepts are same for a single variable complex functions. So why these two different terms? Is there any difference between these two concepts in general, please give example.  Thank you for your help. Can you identifiy this short about teenagers on a raft getting swallowed up by an oil slick? How to defer variable expansion I was wanting to initialize some strings at the top of my script with variables that have no yet been set, such as:  str1='I went to ${PLACE} and saw ${EVENT}' str2='If you do ${ACTION} you will ${RESULT}'   and then later on PLACE, EVENT, ACTION, and RESULT will be set. I want to then be able to print my strings out with the variables expanded. Is my only option eval? This seems to work:  eval "echo ${str1}"   is this standard? is there a better way to do this? It would be nice to not run eval considering the variables could be anything. Pointing the camera in a particular direction programmatically I'm trying to use Python to place a camera. I know the camera's location, and the forward and up vectors for the camera (i.e. the direction it's pointing and its orientation). How do I do this?  I know that it's possible to calculate a raw world matrix from the above information, which I can then apply to the camera, but I was rather hoping not to have to. Is there an easier way? Understanding the proof for $\gcd (F_n, F_{n+k}) = 1$ where $F_n$ is a Fermat number I'm trying to understand the following proof of why      No two Fermat numbers have a common divisor greater than $1$.   Hardy and Wright show the following proofs:   If $x = 2^{2^n}$, we have  $$\frac{F_{n+k} - 2}{F_n}(\circ) = \frac{2^{2^{n+k}}-1}{2^{2^n}+1} = \frac{x^{2^k}-1}{x+1} = x^{2^k-1} - x^{2^k-2} + \ldots -1$$  The main issue I'm having is the $\circ$ part. I don't understand how they get that. The rest of the proof makes sense but the first part is really confusing me. Can someone please explain where they get that fraction?  Thanks a bunch! Can I exchange limit and differentiation for a sequence of smooth functions? Let $(f_n)_{n\in \mathbb N}$ be a sequence of smooth functions converging to some $f$.  Under what circumstances can I exchange limit and derivative?, i.e.  $$\lim_{n\rightarrow \infty} \frac{\partial f_n(x)}{\partial x} = \frac{\partial f(x)}{\partial x}$$ What is a good non-technical introduction to theories of everything? Should I use  tag for icons instead of ? Recovering files from harddrive My laptop got broken (by what it seems the graphics card burned) and it is so old that it is not worth fixing it.   I took the harddrive from it and tried to use it as external hard drive with other computer, however I cannot access all the data, ie anything that is inside my user folder (it shows it to be empty). Couldn't find anything to solve it. Continuous function does not map closed set to closed set Formal writing: "…for my colleagues and {I/me/myself}."? I'm currently using Cambridge English Advanced 1. It's a book that contains past examination papers, and includes numerous samples of authentic writing. This material helps, candidates and teachers, understand what the examiners are ‘testing’ and how these papers are marked. The assessment covers four categories: content, communicative achievement, organisation and language. Each category is awarded a mark between 1 and 5, so the maximum score is 20, and each mark has a brief note attached by the examiner. Any errors of punctuation, orthography, grammar, appropriacy, and vocabulary are left intact. In fact, there are no corrections because the  ‘examiner’ does not specify where the errors lie. This can be frustrating, even though spelling mistakes are rare at the advanced level, and errors in style, collocation or register are still relatively easy to identify, sometimes I'll read a phrase that forces me to ponder.  Dear Director, [ TEXT ] To conclude, this letter is a polite request to cover the costs of a 2 month language course for my colleagues and me. We would be very pleased if the company would do us this favour. Yours sincerely John Smith  The following marks were awarded Content                    5    blah, blah, … Communicative Achievement  2    blah, blah, …     Organisation               3    blah, blah, … Language                   3    blah, blah, …  I am able to pick out six minor errors in that brief extract, maybe some users will identify more, maybe some will identify fewer, and maybe some will say that the language used is perfectly acceptable. But if I can help a candidate attain that elusive B,  I would be delighted. I am interested in (what could be) the 7th error, emphasised in bold. Because the letter of proposal is formal, I feel the phrase, for my colleagues and me, is jarring. I want to change it to for my colleagues and I, but the antecedent requires an object. You would not say: “This is a request to cover the cost […] for I”. So, why use the subject pronoun I in the expression “my colleagues and…”?  Could I use instead, myself?  Which of the following is preferable in a formal written proposal?    …for my colleagues and me …for my colleagues and I …for my colleagues and myself  EDITED: I found a   of the writing sample (11/11) if anyone is interested.  I've looked at the following question,  Some answers appear to be contradictory, the accepted answer says using  I and me are both grammatical, which in my example is not true. Moreover, there's no mention of myself, as a possible solution, in the question. Joining lots of small polygons to form larger polygon using PostGIS? Can ribosomes read ssDNA? My question is whether translation can be done, either naturally or artificially, through a ribosome reading (single-stranded) DNA directly. If not, I would like to know what allows ssRNA to be translated but not ssDNA. Is there anything like “cubic formula”? Just like if we have any quadratic equation which has complex roots, then we are not able to factorize it easily. So we apply quadratic formula and get the roots.  Similarly if we have a cubic equation which has two complex roots (which we know conjugate of each other) and one fractional root, then we are not able to find its first root by hit &amp; trial.  So my question is like quadratic formula, is there exist any thing like cubic formula which help in solving cubic equations?  For example, I have an equation $$2x^3+9x^2+9x-7=0\tag{1}$$ and I have to find its solution which I am not able to find because it has no integral solution. Its solutions are $\dfrac {1}{2}$, $\dfrac{-5\pm \sqrt{3}i}{2} $, I know these solutions because this equation is generated by myself.  So how can I solve equations like these?  Also while typing this question, I thought about the derivation of quadratic formula, which is derived by completing the square method.  So I tried to apply ‘completing the cube’ method on the general equation $ax^3+bx^2+cx+d=0$ but it didn't help.  So please help me in finding a cubic formula or to solve the equations like given in example by an alternative method. Why do the :before and :after pseudo-elements require a 'content' property? Since I am a regular Stack Overflow follower, I came across this and was shocked a bit regarding the design and user experience perspective.  Attaching picture 1 - it states that I can click any site and view a synopsis about it. Clear!!!    Attaching Picture 2 - you can see that when I clicked Webmasters, the design wants me to scroll horizontally to view all information and basically it hides information.    It would be nice, if it did something like below : Calculate the limit of two interrelated sequences?