The Sony A7r II has 42.4 (effective) Megapixels with a pixel area of 20.33µm2; and   the Sony A7s II has 12.2 (effective) Megapixels with a pixel area of 70.55µm2.  (both are FF camera's)  That is, A7r II has more pixels, whereas the A7s II has larger pixels.    Question.  I'm looking for a comprehensive list on what (dis)advantages larger pixels have over more pixles and vice versa, in general. The specific case of the A7r II vs A7s II can be used for explanation purposes.    List of Camera's with same sensor size and different number of pixels.   A7r II, 42.4 megapixels Nikon D810, 36.3 megapixels Canon 5D Mark IV, 30.4 megapixels Nikon D610, 24 megapixels Sony A7s II, 12.2 megapixels Canon 1Ds, 11 megapixels        EDIT: This (old) part will be deleted later.      This is not a 'small' difference. How does this translate to usage?   What is the possible 'aim' of Sony here? What can one do that the   other can't, or at least not as good. Here is an obvious starting   point:         More pixels yield larger image, which is what you want if you're going to print large photos.   ...         Why would you prefer one over the other? When just looking into the   number of pixel and single pixel area.
Are more megapixels good?  Are more megapixels bad?  Do more megapixels increase detail? Do they make my images sharper? On the other side, is there a point that is too much? Do megapixels cause increased noise and other problems? How does print and viewing size come into it?  Widespread Internet-forum wisdom used to be that 6 megapixels was the sweet spot — below that just wasn't enough, but above that, there wasn't much benefit. File sizes got larger, but detail was lost to noise and other problems. The arguments are that cramming too many pixels into a small sensor makes each pixel too small to provide any real benefit, and that higher-megapixel sensors outresolve cheap lenses anyway. (Substitute something like 12 instead of 6 if we're discussing APS-C DSLRs, or 24 for full-frame.)  By 2011,  was in the range of 12-18 megapixels. In 2016 most were are in the 16-24 megapixel range. Certainly none are at 6 anymore; even smartphones come with 8 megapixel cameras. Does this offer any real improvement over that old "sweet spot"? Has technology improved to the point where the "wisdom" needs to be updated, or are we all suffering for marketing? Or have we gone past the sweet spot in some ways, but it's okay because of previously-un-argued points. (For example: more noise, sure, but more detail as well.)  Within the 16-24 megapixel common-today range, for the same sensor size, is there any actual benefit to the higher end? How do megapixels directly affect image quality with today's technology? What are the benefits and when do they apply? What are the drawbacks, and when do they apply? How should I adjust my technique (and expectations) based on my camera's megapixel count?
Limit $\lim_{n\to \infty} \frac{1}{2n} \log{2n\choose n}$ Am I being charged taxes on my grocery purchases at Walmart? Today, I only bought groceries at Walmart and noticed that there is no tax on groceries in California (Google tells me that this is perhaps true for whole of the US?)  So far I have always paid tax at Walmart for my grocery purchases, but that also included items like crackers, shampoo etc  Did Walmart charge me then only for the items that were not groceries, or if your cart has groceries + non-grocery items, you get charged tax on all of them?  Or is this a policy that varies by store, or cashiers' knowledge/discretion, etc?  Would people recommend for me to break down a single mixed purchase into two: one only having groceries and the other with the rest, or is this being paranoid?  My grocery purchases, every two weeks, amount to around $100+.  I pay 8.25% tax, so that is enough to get me free gas if I can figure this out! Website giving pronunciations of English words recorded in different dialects? I'm aware that there are certain websites around that provide recorded examples of English words pronounced in different accents/dialects.  Could anybody list some of them? divisor of a product of integers is a product of divisors I read this recently on the web and can't manage to understand it. Not homework -- I haven't done math homework for years.  If $d\mid ab$ then $d=d_1 d_2$, that $d_1|a$, that $d_2|b$ and, further, if $(a,b)=1$ then $(d_1,d_2)=1$.  I know it's the same question... if $a = a_1 a_2 ... a_n$, why can't $d$ divide some $a_i$ and only $a_i$? Determining true mean from noisy observations How are strings passed in .NET? Finding an Inverse Function and Composition of Functions? What's wrong with "I'll open you the door"? When I call the buzzer outside my girlfriend's flat, she sometimes says *"I'll open you the door". I correct this to "I'll open the door for you".  I've never heard a native speaker say it the first way, which is why I think it's wrong. But I can't explain why.  There is a pattern in lots of English phrases that would suggest both are correct. A few common examples:   Give the keys to me before you go — Give me the keys before you go I'll buy a coffee for you at the cafe — I'll buy you a coffee at the cafe We sent a text to Martin on his birthday — We sent Martin a text on his birthday   The left-hand side is more formal, and the right-hand side is more common in everyday speech.  What do you call this pattern?  What makes the 'open-the-door' sentence an exception? Does sensor size affect lens distortion? There was recently a video posted about how different focal lengths affect portrait photography, specifically how distortion at smaller focal lengths have more distortion and are less flattering.   So the question is that, because we always talk about how Canon's cropped sensors have a 1.6x crop factor so the lenses are essentially longer, does the distortion caused by the lens change when used on a cropped sensor?  My initial thought is "no" given that my idea of how a cropped sensor works is like printing off a 8x10 picture and then cutting out the 4x6 that I like: the picture doesn't change, only my view of it.   However, if distortion is least prominent at the center of the photo and most prominent at the edges, then the perception of the net effect of the distortion would be changed by using a cropped sensor and I get confused again.   Any thoughts? Is it possible for an encryption method to exist which is impossible to crack, even using quantum computers? Quantum computers are known to be able to crack  a broad range of cryptographic algorithms which were previously thought to be solvable only by resources increasing exponentially with the bit size of the key. An example for that is .  But, as far I know, not all problems fall into this category. On , we can read     Researchers have developed a computer algorithm that doesn’t solve problems but instead creates them for the purpose of evaluating quantum computers.   Can we still expect a new cryptographic algorithm which will be hard to crack using even a quantum computer? For clarity: the question refers to specifically to the design of new algorithms. How do I retrieve an HTML element's actual width and height? Suppose that I have a &lt;div&gt; that I wish to center in the browser's display (viewport). To do so, I need to calculate the width and height of the &lt;div&gt; element.   What should I use? Please include information on browser compatibility. $\forall a > 0$ $\sum_{n=1}^{\infty} f(na)$ is convergent. Prove that $\int_{0}^{\infty}f(x) dx$ is convergent. Seeing that Defense Against the Dark Arts is a crucial subject, both in Harry's life as well as a part of the school-going wizard's curriculum, it must be in the hands of a good professor.   Is it known who Minerva McGonagall appointed as DADA prof. once she was made Headmistress. Was it someone we know or was it just a random powerful wizard. Is there any information about this available? Unable to get wireless netgear WNDA3100v2 to work How can I completely disable internal Mic and Webcam I want to disable the internal Microphone on my laptop and the internal Webcam completely that they're no longer selectable, and no longer available?  I will only use my external Webcam, and my external (USB) headset.  The internal audio should still be available for playback. Introduction to Statistical Learning defines the F-statistic as follows: $$\frac{(TSS - RSS) / p}{RSS / (n - p - 1)}$$ I am trying to interpret this formula intuitively - the numerator looks like the $ESS$ per regressor, and the denominator looks like the $RSS$ per observation. This does not seem like an apples to apples comparison; can anyone explain why it makes sense?  They also say that the expectation of the denominator is equal to the variance of the irreducible error if the linear model assumptions hold (I get this, as the denominator is really the Residual Standard Error, which is an unbiased estimator). They also say the numerator is equal to the variance of the irreducible error if the null hypothesis is true. Therefore the F-statistic will be close to 1 if the null hypothesis is true.  But if you let p = 1, that is, apply the F-statistic to single linear regression, it becomes:  $$\frac{TSS - RSS}{RSS / (n-2)}$$  According to the book, if the regressor has no explanatory power, the F-statistic should be close to 1. But if you imagine a data set where the coefficient on X is 0 (i.e. no explanatory power), $TSS$ will be equal to $RSS$, so the numerator and hence the F-statistic should be 0, not 1 as they claim. What is going on?  Furthermore, if you accept that the F-statistic is 1, as they claim, then $(TSS - RSS) = RSS / (n-2)$, which means $ESS = RSS / (n-2)$. If you think of the F-statistics as comparing explained vs. unexplained variation, this does not seem like a fair comparison since this decomposition makes it the ratio of TOTAL explained variation summed across ALL observations vs. the unexplained variation PER observation. Again, what am I missing?  I am just trying to make sense of it in a layman way, apologies if I am missing something obvious. What are PATH and other environment variables, and how can I set or use them? Questions about    setting environment variables the PATH   are very common here, and in most cases the answers are very similar to each other. In the future it would be nice to have a good Q/A for this.  So the question is: What are environment variables, like the executable PATH, and how can I change and use them on major operating systems?  A good answer would include a simple explanation of what environment variables and especially PATH mean to the OS, as well as simple guidelines on how to set and read them accordingly. Always allow commenting on posts I have previously commented, irrespective of current rep Can someone give me a hint how to the irreducibility of $X^{p-1} + \cdots + X+1$, where $p$ is a prime, in $\mathbb{Z}[X]$ ?    Our professor gave us already one, namely to substitute $X$ with $X+1$, but I couldn't make much of that. How to handle a native OS (Ubuntu) file upload window in selenium webdriver with python? This is my first time here but I have already posted this question on SO. I keep getting solutions for Windows + Java and not for Linux or python for that matter.  I am using Selenium and Python to automate a file upload application for the past many hours but nothing helpful!   The HTML DOM structure for this file upload is an input tag with its type attribute value = 'file'. I know I can make use of the send_keys.   The problem is I am not supposed to use send_keys() (as per the question I am trying to solve). The assumption is there are other ways of doing it.  Can anyone suggest me alternative ways to upload the file? I do get solutions for windows but not for Linux(Ubuntu). I know there are applications/tools to automate GUI components like AutoIt but there is nothing for Linux close to AutoIt.  I can say I have done my homework to find a solution. Only after not finding anything useful, I am asking this question, please help!