I would like to ask for a feature if it is possible to add Flowchart facility in the question and answer block. this would be very useful because flowchart can help explain the algorithm better. most of the code samples are not compile able but are given for the demonstration purpose. a flowchart will do a better job at that I believe. Of course a diagram can be copy pasted but editing it will be difficult. moreover if there is flowchart facility and if there is an error in the flowchart not only the author can edit it but also others can edit it in-place. editing this flowchart also will be as quick as the code edit.  thanks.
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.
Along the lines of , what reasons are there (if any) to favor \( ... \) over $ ... $? What is the difference between logistic regression and Fractional response regression? As far as I know, the difference between logistic model and fractional response model (frm) is that the dependent variable (Y) in which frm is [0,1], but logistic is {0, 1}. Further, frm uses the quasi-likelihood estimator to determine its parameters. Normally, we can use glm to obtain the logistic models by glm(y ~ x1+x2, data = dat, family = binomial(logit)). For frm, we change family = binomial(logit) to family = quasibinomial(logit). I noticed we can also use family = binomial(logit) to obtain frm's parameter since it gives the same estimated values. See the following example library(foreign) mydata &lt;- read.dta(&quot;k401.dta&quot;)   glm.bin &lt;- glm(prate ~ mrate + age + sole + totemp,                 data = mydata, family = binomial('logit')) summary(glm.bin)  return,  Call: glm(formula = prate ~ mrate + age + sole + totemp,      family = binomial(&quot;logit&quot;),      data = mydata)  Deviance Residuals:      Min       1Q   Median       3Q      Max   -3.1214  -0.1979   0.2059   0.4486   0.9146    Coefficients:               Estimate Std. Error z value Pr(&gt;|z|)     (Intercept)  1.074e+00  8.869e-02  12.110  &lt; 2e-16 *** mrate        5.734e-01  9.011e-02   6.364 1.97e-10 *** age          3.089e-02  5.832e-03   5.297 1.17e-07 *** sole         3.636e-01  9.491e-02   3.831 0.000128 *** totemp      -5.780e-06  2.207e-06  -2.619 0.008814 **  --- Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1  (Dispersion parameter for binomial family taken to be 1)      Null deviance: 1166.6  on 4733  degrees of freedom Residual deviance: 1023.7  on 4729  degrees of freedom AIC: 1997.6  Number of Fisher Scoring iterations: 6  And for family = quasibinomial('logit'), glm.quasi &lt;- glm(prate ~ mrate + age + sole + totemp,   data = mydata ,family = quasibinomial('logit')) summary(glm.quasi)  return,  Call: glm(formula = prate ~ mrate + age + sole + totemp,      family = quasibinomial(&quot;logit&quot;),      data = mydata)  Deviance Residuals:      Min       1Q   Median       3Q      Max   -3.1214  -0.1979   0.2059   0.4486   0.9146    Coefficients:               Estimate Std. Error t value Pr(&gt;|t|)     (Intercept)  1.074e+00  4.788e-02  22.435  &lt; 2e-16 *** mrate        5.734e-01  4.864e-02  11.789  &lt; 2e-16 *** age          3.089e-02  3.148e-03   9.814  &lt; 2e-16 *** sole         3.636e-01  5.123e-02   7.097 1.46e-12 *** totemp      -5.780e-06  1.191e-06  -4.852 1.26e-06 *** --- Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1  (Dispersion parameter for quasibinomial family taken to be 0.2913876)      Null deviance: 1166.6  on 4733  degrees of freedom Residual deviance: 1023.7  on 4729  degrees of freedom AIC: NA  Number of Fisher Scoring iterations: 6  The estimated Beta from both `family` are the same, but the difference is the SE values.  However, to obtain the correct SE, we have to use `library(sandwich)` as in this [post][1].  Now, my questions:  1. What is the difference between these two codes? 2. Is frm about to obtain robust SE?  If my understanding is not correct, please give some suggestions.      [1]: https://stackoverflow.com/questions/37584715/fractional-response-regression-in-r I just read on wikipedia that the the complex projective line is homeomorphic to the riemann sphere. How do I prove this? But, before that I have an extremely silly doubt that has been eating me. In the complex projective line, antipodal points are identified, but in the Riemann sphere they are clearly distinct. Then how can the two be homeomorphic.   I found out the following map from the complex projective line to $S^2$. But how do I prove this is a homeomorphism? Finding the inverse of this functions seems complicated, and then how do I prove that the inverse map of a open subset is a open subset, and vice versa?  $f:\mathbb{C}\mathbb{P}^1 \to S^2 = [z:w] \to \frac{(2Re(w\bar{z}), 2Im(w\bar{z}),|w|^2-|z|^2)}{(|w|^2+|z|^2)} $ Friendly_Id and Reserved Words -- How can i replace the reserved word? Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$ DML Statement in ‘after trigger’ and not in ‘before trigger’? Conservation law of energy and Big Bang? Did the law of conservation of energy apply to the earliest moments of the Big Bang? If so, what theoretical physics supports this?   I hear that Einstein's theory of relativity disputes the law of conservation of energy- so does that mean the law is false, or only some aspect of it? I saw this question  but it doesn't have a full solution. What is the full solution to the 99 bottles of beer on the wall for Vim adventures?  Context: for the sake of being a good SO member I will give more details but a full solution will answer my question. It seems from reading the other post that my register is incorrect for some reason. I can't get the &lt;NL&gt;. I think that's the issue since pasting won't work... I have asked this question before  The first guy solved it in a way, but  i would like to know is there any efficient way to do so, because i did the same for N = 13 and N = 15  which took long time.  This problem is from a pen and paper test, ZIO-2018 Can i solve it with an efficient algorithm, well i am pretty beginner in algos, so if there is one kindly descibe it how can i do so?  Thank you The bug displayed in the attached screenshot occurs consistently for me while running the developer beta of iOS 10 using v1.5.2 of the Stack Exchange app on an iPhone 6.  I was able to recreate this by simply tapping on any question or answer in my feed with a long title. This doesn't appear to be a bug with iOS 10 itself since I haven't seen it in other apps, but I could be wrong. UK visit visa: What documents prove genuine relationship with the visitor? I'm searching for a template which makes a document look like it's written with a real typewriter. Ideally, this means it's not only in mono-spaced font, but the hyphenation is adjusted accordingly. Also, some randomness would be nice (e.g. some characters more bold than others), so that it looks more natural. How do I detect when someone shakes an iPhone? I want to react when somebody shakes the iPhone. I don't particularly care how they shake it, just that it was waved vigorously about for a split second. Does anyone know how to detect this? How to create Custom Fields on Standard Objects in the package.xml Limits of dead reckoning using MEMS sensors I'm trying to track body parts relative to a person's torso. I see quite a few questions about using MEMS accelerometers and gyros for dead reckoning, and they confirm my suspicions that various factors greatly limit their usefulness for these sorts of applications, but I'm seeking clarification of these limits:   What exactly are these limits?  Other answers have addressed why these limits exist. Naturally the specifications the parts in the system in question and what is considered "acceptable error" for the system will both change the exact limits, but is there a single order of magnitude in time, or distance that I can expect dead reckoning to work? I'm well aware that over long distances (a few yards or so) the error becomes too large for most practical purposes, but what about within a few feet?  What can I do to improve these limits?  I'm currently looking at using an accelerometer and a gyro. What other sensors can I add to the system to improve the error rate? I know over longer distances a GPS can be used, but I doubt any consumer electronics grade GPS has fine enough resolution to help in my case.  Additionally, a general consensus seems to the only way to improve these limits past the point of improved sensors is to provide a reference not subject to error. Some systems solve this using cameras and markers.  What kind of reference points can a portable/wearable device provide?   I've seen the usage of radio waves to measure long distances accurately, but I can't tell if such a system could be accurate on such small scale (in terms of distance measured) using "off-the-shelf" components. Which is correct: "drive safe" or "drive safely"? My lecturer has used some notation that I've never seen before: it is a (matrix) product symbol with a left-to-right arrow over the top. Does anybody know what this means?  Thanks in advance.  Edit: It looks like this: Prevent Windows 10 installer from using the preinstalled serial key without disabling UEFI My laptop (a Lenovo Flex 2 15) came preinstalled with Windows 8 Standard (with the serial key preinstalled into the BIOS), and I've since installed an SSD (a Samsung Evo 840 120GB) &amp; upgraded to Windows 10.  When the laptop still had its hard drive, I upgraded it to Professional so I could use the resources provided by the domain on my homeserver; because of this, I can only use the Professional editions of Windows (Home can't join domains).  I bought Windows 10 Professional &amp; completed a fresh-install (complete reinstallation) of Windows, only that it installed Windows 10 Home instead of Professional. I'm guessing this is due to the Windows 8 Standard Edition serial key preinstalled in the BIOS.  I then downloaded an All-In-One ISO image of Windows 10 from MSDN (of which I have limited access to), transferred the installer onto a USB stick, &amp; reinstalled (a clean install again). However it's still installing Windows 10 Home.  If I try to install using the AIO image from within Windows, the installer does not present me with a list of options for the edition I want to install; instead, it assumes that I want to install Home Edition:    I am able to get Windows 10 Professional to install if I disable UEFI &amp; use Legacy instead, but I feel that this is stepping around the issue rather than resolving it.  Is it possible to have the Windows 10 installer ignore any serial keys preinstalled in the BIOS/UEFI? If so, how? If not, is using Legacy mode really the only way around this? After reading the great answer for  by @Ben, I am a bit confused by the part &quot; set the relative tail sizes as a control variable, and then you find the formula for the length of the confidence interval conditional on that variable&quot;. I understand this means you need to compute the length of the confidence interval as a function of the relative tail sizes and then minimize the function. However, what exactly is relative tail sizes? Is it the ratio between the areas of the two tails? Also, is there another way to find shortest CI for a given confidence level? For those who are interested, I know there are somewhat relevant results allowing us to compute sample size such that the length of a CI, say 95% CI, does not exceed a certain bound. Is there a difference in ++i and i++ in a for loop? Is it simply a syntax thing?