What are the increased possibilities (if any) of being able to crack a private key given the following:   The associated bitcoin (ECDSA Secp256k1-based) public key is known. The private key has been used to generate a public key from a different ECDSA curve and that public key is also known. It is known that the two public keys are derived from the same private key. It is known which ECDSA curves were used to generate the public keys. It is known which ECDSA curve was used to generate which public key.
What are the increased possibilities (if any) of being able to crack a private key given the following:   The associated bitcoin (ECDSA Secp256k1-based) public key is known. The private key has been used to generate a public key from a different ECDSA curve and that public key is also known. It is known that the two public keys are derived from the same private key. It is known which ECDSA curves were used to generate the public keys. It is known which ECDSA curve was used to generate which public key.   Does it make any more difference if there is data that is known to have been signed by the private key and the signature(s) are known and the raw data is known?  EDIT: I should have pointed out that the conditions are ANDed, I.e. All conditions are known. Sorry, I should have been clearer the first time.
What are the correct settings for min-memory and max-memory in this use case?  The server has 8GB ram, dual Intel Xeon processors, running Windows Server 2008 R2 / Sql Server 2008 Standard Edition. It's running several databases ranging from 30GB - 5GB in size.  Originally the memory usage was set to the default settings (min=0 max=2,147,483,647). On these settings most of the memory usage was taken up by sqlservr.exe and the server would eventually need to be restarted every day or two. It would run normally at first but within a day start to timeout on simple operations like looking up a record using the primary key.   I have changed min=4,096 and max=6,144. This results in only 1.4GB memory usage. However now all four cpus are running at 50-60% cpu usage constantly. Tasks are taking roughly 1/3rd longer to execute, although the server is much more stable. CSS: Special Fluid Layout Problems Why doesn't a fly fall off the wall? What properties do natural isomorphisms between functors preserve? If $F,G: C \rightarrow D$ are functors between regular categories and $F \Rightarrow G$ is a natural isomorphism, is it true that if $F$ is faithful {resp. full) then $G$ is full?  I believe this is true but would like some confirmation.  What about if $F$ is essentially surjective?  Is it necessarily true that $G$ is essentially surjective?  Thanks. How to check if my eSATAp port provides 12V power? I have a Lenovo ThinkPad Edge 13" model 0217-2QG with eSATAp port.  How do i check if my port provides 12V power (enough to power a 3.5" HDD)? find the measure of $AMC$ if $M$ is the midpoint of $BC$ then find the measure of $AMC$.    I tried to use the angles to find $AMC$ but I don't know how to use that $M$ is the midpoint of $BC$. How to prove that the set $A = \left\{ {p:{p^2} < 2,p \in {\Bbb Q^+}} \right\}$ has no greatest element? More specifically, I have to find a $q$ in $A$ such that $q$ is larger than any $p$ in $A$.  The only thing I can think of is using (${2 - {p^2}}$) somehow, or ${(p+x)^2}&lt;2$, but other than that I don't know how to proceed. This exercise is taken from the very first chapter of Walter Rudin's Principles of Mathematical Analysis. Quoting the exercise:     To do this, we associate with each rational $p &gt; 0$ the number:     $$q = p - \frac{{{p^2} - 2}}{{p + 2}} = \frac{{2p + 2}}{{p + 2}}$$   But he didn't explain how he came up with that number.   The only thing I've thought of is the following procedure:  $$\eqalign{   &amp; {p^2} + (2 - {p^2}) = 2 \Rightarrow {p^2} + (\frac{{2 - {p^2}}}{2}) &lt; 2,{\text{ and since }}2 - {p^2}{\text{ is always positive,}}  \cr    &amp; {p^2} &lt; \left[ {{p^2} + (\frac{{2 - {p^2}}}{2})} \right] &lt; 2  \cr    &amp; {\text{Therefore, let }}q = \sqrt {{p^2} + (\frac{{2 - {p^2}}}{2})} ,{\text{ then:}}  \cr    &amp; p &lt; q &lt; \sqrt 2  \cr} $$  However, my result doesn't necessarily belong to ${\Bbb Q}$. I wonder how did he obtain the value of $q$ in the book.  EDIT: Feel free to point out if there are more appropriate tags for this question. Validation Error less than training error? I found two questions  and  about this issue but there is no obvious answer or explanation yet.I enforce the same problem where the validation error is less than training error in my Convolution Neural Network. What does that mean? Start ubuntu without a desktop environment but start an X application I want to do a small computer just for internet browsing. I dont want to load a desktop environment to keep RAM, CPU and GPU ussage as low as possible. The computer is going to run on a ARM CPU. I dont care with Distro I use, I thought about good old plain Debian. How To: Execute command line in C#, get STD OUT results Macro with lstlisting inside I have been following  about using \NewDocuentCommand with lstlisting and the accepted answer is nice except it is too big and it doesn't quite work for me.   I came up with this example to test xparse:    \documentclass{article} \usepackage{xparse} \usepackage{listings}  \ExplSyntaxOn \NewDocumentCommand{\code}{m +v}{     \begin{lstlisting}[style=#1,numbers=none,xleftmargin=0.35cm,framesep=0mm]         #2     \end{lstlisting} } \ExplSyntaxOff  \begin{document}  \code{C}{ int x = 200; unsigned int y = 0; }  \end{document}   Like stated in the  I first used m as a normal parameter and then +v as a multiline verbatim parameter, but it fails. It looks like I am still missing something... "When people do make changes" - which tense is this? Which tense are sentences like:   "When people do make changes good things happen" "Even if monkeys can play an important role, their actions can pose risk to the general public" About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$ A water pipe from sea level to beyond the atmosphere If a pipe extended from just above the ocean floor to outside the atmosphere, would water be sucked up it by the vacuum beyond the atmosphere? If a hole was made in the pipe, above sea level, how would that affect the flow of water? Would it stop it completely? Irreducible conics An algebraic set (not necessairly a variety) $X \subseteq \mathbb{A}^2$ defined by a polynomial of degree $2$ is called a conic.  The problem is:     Show that any irreducible conic is isomorphic either to $Z(y-x^2)$ or to $Z(xy-1)$ after an affine change of coordinates in $\mathbb{A}^2$.   However, with this definition of conic, I only can conclude that if the polynomial is irreducible, then the conic is irreducible (because $f$ irreducible $\Rightarrow Z(f)=X$ is irreducible)     What can I do to prove that if a conic is irreducible, then the polynomial that defines the conic is irreducible?   And for the main problem, how can I do the affine change of coordinates?  Thanks Book series with a double planet system and poisonous bubbles that float around Server login attempts NOT blocked after configuring fail2ban Many sysv init scripts used a corresponding file in /etc/default to allow the administrator to configure it. Upstart jobs can be modified using .override files. How do I override or configure systemd units, now that systemd is the default in Ubuntu? How does one go about proving that the function $x \sin x$ is not uniformly continuous on the set of real numbers ?  Any method that uses the sequential criterion for discontinuity would be preferred.  Thanks in advance ! I am having trouble comprehending how anyone could come up with this formula:  $$F = \frac{GMm}{d^2}.$$   Could someone walk me through this?