I read the subject book in 1981 and it wasn't new then. The book probably would be described today as a space opera.  From what I can remember there is an intersolar system war between two solar system races NOTE humanoid, not human. One planet is eventually destroyed  (the asteroid belt) and the other is laid waste...  There is a colony on the dark side of the moon that is destroyed in a massive meteor storm with the survivors walking to rescue on the moons surface gradually dying off until only # one makes it through sheer bloody minded determination to the rescue site where a small number of survivors revamp to earth Now the story swaps back and forwards with many reverses and twists but in the end archaeologists find the one walkers equipment buried for over 2000 yrs...aka  our forefathers..  And that's what I can remember, the story is intense and the revelations during the book are stunning I seem to remember.
If I recall it correctly, this book has two main characters, both male, one of them big and well muscled. During the novel, they found evidence that the current human race descends from ancient Martian astronauts who traveled to Earth in prehistory, causing the extinction of prehistoric Earth humans, (which explains the Missing Link in human evolution).  Later in the novel the big guy travels back in time (no idea of how or why) to Prehistory.  And near the end of the book, the other main character, during an archaeological field research, finds remains of a human being who lived thousand of years ago, a human with large bones, and who holds an item that could not be made in that era (a gold plaque? A metal rod?)  That's all I can remember. I know it is not from the ABC, Asimov, Bradbury or Clarke.  Thanks in advance.
CSV parser with low memory footprint for iPhone It shows no question owner, not even a simple name (without link).   What happened? error in python d not defined. Finding the limit $ \lim_{x\to a^+} \frac{\cos(x)\ln(x-a)}{\ln(e^x-e^a)} $ Show that AB is singular if A is singular Actually I need to show that $\det(AB) = \det(A)\det(B)$ if $A$ is a singular matrix.  The determinant of $A$ is $0$ if $A$ is singular, so $\det(AB)$ has to be $0$ as well, but I have problems showing that $AB$ is singular if $A$ is singular. How can I show that? Joining elements of a list in GNU Make I try to resolve a problem, how to implement a xor gate with nand's gate.  A xor B = A'B + AB'  So, this becomes :  A xor B = A'B + AB' + AA' + BB' = A(A' + B') + B(A' + B') = (A + B)(A' + B') =   (with De Morgan apllied on the second term)  = (A + B)(AB)' = ..... ?  In this point i am blocked. If someone can help me, please. Thank you. Nicely discouraging serial upvoting Probably everybody who is very active on SO has experienced cases of random, serial upvoting as the expression of thanks from a (usually newbie) user. The pattern is usually 5 or more upvotes on your latest answers. The upvotes will be detected within 24 hours, and removed. (Or so I assume.)  No harm done except maybe a minor irritation for people after one of the &quot;rep cap&quot; badges because they are shown a higher reputation than they actually have. Still, I was thinking whether, in an attempt to channel the positive attitude into more productive areas, it would be worth showing a tooltip on the third upvote for the same person within time frame x:  Please use one upvote, a comment, or some quality content of your own, to say thank you Large numbers of upvotes for the same user may become invalid as part of our spam detection mechanisms.  Does this make sense? Maybe it is too localized and rare, but it has happened to me three or four times in the last two weeks alone. You decide.  Clarification: I am not advocating putting up any kind of barrier on upvotes. . I'm suggesting informing people of the barrier and the futility of their ten or so upvotes for a single person because those votes are likely to be revoked.  Update: @devinb makes the good point that &quot;saying thanks&quot; is not the only possible reason for serial upvoting, and the message wouldn't make sense then. The point still stands: Your votes aren't going to count, and when it comes to up voting (which is always some sort of positive behaviour, however misguided if done indiscriminately) I think it's fair to inform people of this. Proving that $\lim\limits_{x\to\infty}f'(x) = 0$ when $\lim\limits_{x\to\infty}f(x)$ and $\lim\limits_{x\to\infty}f'(x)$ exist I've been trying to solve the following problem:  Suppose that $f$ and $f&#39;$ are continuous functions on $\mathbb{R}$, and that $\displaystyle\lim_{x\to\infty}f(x)$ and $\displaystyle\lim_{x\to\infty}f&#39;(x)$ exist. Show that $\displaystyle\lim_{x\to\infty}f&#39;(x) = 0$.  I'm not entirely sure what to do. Since there's not a lot of information given, I guess there isn't very much one can do. I tried using the definition of the derivative and showing that it went to $0$ as $x$ went to $\infty$ but that didn't really work out. Now I'm thinking I should assume $\displaystyle\lim_{x\to\infty}f&#39;(x) = L \neq 0$ and try to get a contradiction, but I'm not sure where the contradiction would come from.   Could somebody point me in the right direction (e.g. a certain theorem or property I have to use?) Thanks When I'm going through a whole bunch of shots to determine which to delete and which to flag, it's fastest for me to just keep both hands on the keyboard.  However, if I want to zoom in to 100% on a picture and then pan to a specific area, it seems I can only get halfway there -- 'Z' to zoom, but then I'm stuck having to pick up the mouse to pan around.  I was excited to find page-up/page-down/home/end can be used, but they seem to exist to provide an exhaustive, linear scrolling of the image, panning top-to-bottom then left-to-right, without unconstrained 2d movement.  Is there some way to toggle the arrow keys so they can pan instead of navigate to the next/prev photo?  Something else?  Or am I out of luck? Determining audio level peaks with ffmpeg Is there a plugin I'm missing that allows me to determine the volume samples over the length of an audio file?  For example, a sample of every second to gain the dB vs timestamp? When should I use # and = in ASP.NET controls? 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? How to use iSight webcam without activating the green light? Recently a the Dutch government advised to put a tape on your webcam to prevent hackers from taking pictures and video using your device ().  The build in iSight camera in Apple laptops have a green light next to the camera, this light turns green when you use the camera.  Is it possible to use the camera without the activation of the green light? Personally I think the green light turns on when the sensor requires power and this is hardwired in the hardware. Am I wrong?  I have found similar questions on stackexchange, but I found non that answer this specific question. How does ACF & PACF identify the order of MA and AR terms? It's been more than 2 years that I am working on different time series. I have read on many articles that ACF is used to identify order of MA term, and PACF for AR. There is a thumb rule that for MA, the lag where ACF shuts off suddenly is the order of MA and similarly for PACF and AR.   Here is  I followed from PennState Eberly College of Science.   My Question is why is it so? For me even ACF can give AR term. I need explanation of thumb rule mentioned above. I am not able to understand thumb rule intuitively/mathematically that why -  Identification of an AR model is often best done with the PACF. Identification of an MA model is often best done with the ACF rather than the PACF  Please note:- I don't need how but "WHY". :) Here is the problem setup  \begin{equation} \begin{array}{c} \text{min} \hspace{4mm}  \mathbf{b}^{T}_{}\mathbf{A}^{}_{}\mathbf{b}^{}_{} \\ s.t \hspace{5mm} \mathbf{b} \in \mathbb{R}^{N} \\ \hspace{9mm}b_0=1\\ \hspace{62mm}b_i=b_{i-2}b_{i-1} \hspace{5mm} \forall \hspace{5mm} 2&lt;i\leq N-1 \end{array} \end{equation}  where $\mathbf{A}$ is a $N\times N$ positive semi-definite matrix  To handle $b_0=1$ constrain, I know I can introduce Lagrange multiplier in objective function  \begin{equation} \begin{array}{c} \text{min} \hspace{4mm}  \mathbf{b}^{T}_{}\mathbf{A}^{}_{}\mathbf{b}^{}_{} + \lambda(\mathbf{b}^{T}_{}\mathbf{u}^{}_{}-1) \end{array} \end{equation}  where $\mathbf{u}_{}^{}$ is a $N\times 1$ column vector and $u_0=1$ and $u_i=0 \forall 1&lt;i\leq N-1$.  But I dont know how to handle second set of constraints?   EDIT: Example  Let $N=4$. Therefore I am looking for $\mathbf{b}=[b_0 \quad b_1 \quad b_2 \quad b_3]^T = [1 \quad b_1 \quad b_2 \quad b_1b_2]^T$. How do I include $b_3=b_1b_2$ constraint in objective function We know that the maximum level a dweller can train to on any SPECIAL skill is 10, however this does not consider bonuses given from their outfit.    Is there any additional benefit for going over 10? For example, a dweller with an Intelligence skill of 10 wearing a lab coat that boosts Intelligence by 3?   If it is a hard cap, would it be more useful to use outfits that raise a secondary characteristic instead? In the DC Comics Universe, What Happens to Earthlings Under a Red Sun? I know in the earliest versions of Superman, his powers weren't from the yellow sun, but that was changed and, in general (at least as I understand it), Superman's powers are because he was native to a world with a red sun and now he's under a yellow sun.  What happens to an Earthling or other native to a yellow sun planet when near a red sun?  And what if the sun is blue?  Or a brown dwarf?  Please note: I'm asking about a red sun, not about living on Krypton.  Okay, that's heavy gravity, but it's not the only planet under a red sun.  (But, still the point about whether yellow sun natives would have super powers would come into play there, wouldn't it?) How to evaluate $ \lim \limits_{n\to \infty} \sum \limits_ {k=1}^n \frac{k^n}{n^n}$? I can show that the following limit exists but I am having difficulties to find it. It is $$\lim_{n\to \infty} \sum_{k=1}^n \frac{k^n}{n^n}$$ Can someone please help me? We know the optimum angle for greatest horizontal displacement when launching an object with projectile motion is 45 degrees.  How to solve the angle when it is real long distance around the earth where we cannot assume that gravity is constant but is given by $F=\frac {-GMm}{r^2}$. I use differetial equation to solve it and obtain 45 degrees.   First, for the vertical distance $y$, change $v=u-gt$ to $y'=u-y''t$. Then solve it to obtain a function $y(t)$. When $y'(t)=0$ we have the time for maximum vertical distance. Then insert the value to horizontal equation.   Can anyone guide me through this problem because I am not confident with my working