Why is the privilege gap between 250 and 1000 so disproportionally large? I'm not taking about absolute difference as clearly the 5000 difference between 10000 and 5000 is larger but looking at a graph of the privileges gained up to 2500 rep, there's a disproportionally large jump from 250 to 1000.     Has the idea of adding/moving a privilege to 500 been considered? Why was it rejected?  There does seem to be a rough pattern of large increase, smaller increase between 20 rep and 2500 rep. I guess I could see this as kind of a "weeding out period" that attempts to dissuade users only in it for the rep but the rep itself (as opposed to the privileges) still increases and would partially mitigate that attempt.  Fair warning, I'm very close to 500 rep on my SO, so its entirely possible I'm biased.  Edit:  Just noticed . Did not see it earlier. My bad
As , the retag privilege serves a lot more confusion and a lot less of its benefit due to the suggested edit system. It must be done away with. It will be done away with. ♪  In light of this decided course of action, we're going to need a new snack for the road between "Create Tags" at 300 reputation and "Established User" at 1000 reputation. We'd like your help in thinking about some ideas on what would be a nice privilege to sit at this level. Since we're... a bit dry on our end.  The primary guideline in deciding what kind of privilege to put here is acknowledging its position in the overall hierarchy of privileges. 500 reputation is an early-intermediate user, one who has started to really get the hang of the site and its function. It can be something that provides convenience in how they currently can act on the site, or it could be some new functionality that fits as an early ability (especially considering there's no new abilities until 2000 reputation's "Edit Everywhat" ability).  I look forward to hearing what creative ideas y'all can provide.
Solve the recurrence relation:$ T(n) = \sqrt{n} T \left(\sqrt n \right) + n$ For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution. For a prime $p \equiv 1$ or $3$  (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.   I'd like to see an elementary proof. I have the formula $x! + y! = z!$ and I'm looking for positive integers that make it true. Upon  inspection it seems that x = y = 1 and z = 2 is the only solution. The problem is how to show it.   From the definition of the factorial function we know $x! = x(x-1)(x-2)...(2)(1)$  So we can do something like this:  $$ [x(x-1)(x-2)...(2)(1)] + [y(y-1)(y-2)...(2)(1)] = [z(z-1)(z-2)...(2)(1)]$$   we can then factor all of the common terms out on the LHS.  $$ [...(2)(1)][x(x-1)(x-2)... + y(y-1)(y-2)...] = [z(z-1)(z-2)...(2)(1)]$$ and divide the common terms out of the right hand side  $$[x(x-1)(x-2)...] + [y(y-1)(y-2)...] = [z(z-1)(z-2)...]$$  I'm stuck on how to proceed and how to make a clearer argument that there is only the one solution (if indeed there is only the one solution).   If anybody can provide a hint as to how to proceed I would appreciate it. If $AD$, $BE$, $CF$ are exterior bisectors then $D,E,F$ are collinear Let $ABC$ be a triangle and AD the exterior bisector of $\angle A$, $BE$ the exterior bisector of $\angle B$, $CF$ the exterior bisector of $\angle C$ where $D\in BC$, $E\in AC$, $F\in AB$.  Show that $D,E,F$ collinear. Why aren't search engines indexing my content? How can I execute a function on pressing the enter key in an  field? Trace map from finite surjective morphism of normal irreducible varieties Is there a general formula for image size vs. print size? What size images do I need for common print sizes, such as wallet size, 8x10, and 16x20?  Is there a general formula?  How could that size change if, for example, a 16x20 was printed on canvas rather than photopaper? How do I get an Intel Wireless 3168 802.11ac wireless card to work? Why does universal generalization work? (the rule of inference) How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression? For example here is the sum of $\cos$ series:  $$\sum_{k=0}^{n-1}\cos (a+k \cdot d) =\frac{\sin(n \times \frac{d}{2})}{\sin ( \frac{d}{2} )} \times \cos \biggl( \frac{ 2 a + (n-1)\cdot d}{2}\biggr)$$  There is a slight difference in case of $\sin$, which is: $$\sum_{k=0}^{n-1}\sin (a+k \cdot d) =\frac{\sin(n \times \frac{d}{2})}{\sin ( \frac{d}{2} )} \times \sin\biggl( \frac{2  a + (n-1)\cdot d}{2}\biggr)$$   How do we prove the above two identities? What factors influence the spring constant? For certain springs we have been taught that Hookes law, $F=-kx$ works. For such springs, what factors determine k. For instance, k is proportional to length. Can k be expressed in terms of dimensions, mass and other fundemental quantities, or is k a fundemental property of the spring itself? 15V 3A dc motor PWM frequency setting What is a suitable frequency for 15V/3A DC motor? Is there any effect on the motor when the frequency is changing? I am confused with this until now and the Internet shows a lot of theory that confuses me. Setting time limit php Value of Vandermonde type determinant How can I check if a directory exists in a Bash shell script? What command can be used to check if a directory exists or not, within a Bash shell script? Make the chat link one click away in the new top bar Combinef in R HTS package- constrain to keep forecasts positive? When using the combinef function from Rob Hyndman's very useful  for forecasting hierarchical and grouped time series, there does not seem to be a way to constrain the optimally combined forecasts to be positive- the starting forecasts can be positive, but can go negative through the reconciliation process.  The forecast.gts and forecast.hts functions have an argument to keep forecasts positive, but this does not seem to be an option when using combinef by itself with forecasts obtained by other methods.  Am I correct in this understanding, and if so is there a decent workaround? My inline-block elements are not lining up properly Is it possible for a familiar to attune to and then wear or wield a magic item?