I am drawing some color-filled polygons in Adobe Illustrator using the pen tool. When I export it in a PNG file, the image looks just like I made it. But when I save it as an SVG image and open it in a browser, I see thin outlines around those polygons. Here is an example:   The first one is the PNG image, the second one is the SVG. I tried with different browsers and it looks the same in all of them. Is this normal behaviour of SVG image? If not, then how can I remove those outlines and make it look like the PNG image?
I converted a raster image to vector in Illustrator CS6 using Image Trace then the Expand option, though when I save as an svg the image looks embossed. I suspect it's due to the layer background being white and the paths not lining up, but I'm unsure how to fix it or prove that theory without manually having to adjust every path.   This is how it looks in Illustrator before I export it:    The image looks like this when saved/exported with art optimized option:
Quotient rings of Gaussian integers (Fitzpatrick Advanced Calculus 2e, Sec. 2.4 #12)  For $c \gt 0$, consider the quadratic equation $x^2 - x - c = 0, x &gt; 0$.  Define the sequence $\{x_n\}$ recursively by fixing $|x_1| \lt c$ and then, if $n$ is an index for which $x_n$ has been defined, defining  $$x_{n+1} = \sqrt{c+x_n}$$  Prove that the sequence $\{x_n\}$ converges monotonically to the solution of the above equation.  Note: The answers below might assume $x_1 \gt 0$, but they still work, as we have $x_3 \gt 0$.    This is being repurposed in an effort to cut down on duplicates, see here: .  and here: . How prove this $\frac{a}{(bc-a^2)^2}+\frac{b}{(ca-b^2)^2}+\frac{c}{(ab-c^2)^2}=0$ Do different "Picture styles" affect RAW output? I was  the manual of my camera (Canon 50D, but I am sure that each DSLR offer the same kind of functionality, albeit I don't know the exact names adopted) and noticed the issue of Picture styles which I had overlooked in my first reading.   In short I think that they are a collection of various calibration settings (more or less enhanced colours, things like that...). Those that are available on my camera are:   Standard Portrait Landscape Neutral Faithful  Monochrome 3 user definable modes.   These styles are so important to deserve a direct button just under the LCD screen of the camera (I guess this is useful for simplifying the use of the camera in the basic modes as opposed to manual / less automated ones).  And now for the question:   These settings obviously affect the appearance of the picture "as it comes out of the camera". But given the raw file I assume that they are all equivalent, a style is not applying a destructive transformation to the raw data, isn't it?  Shooting raw, is there a reason to favor one of these styles (Neutral?) over the other? Up to now I have been using Standard.   As a bonus (don't know if it deserves a separate question, in which case I will ask it again), what is the difference between Neutral and Faithful? How to close view windows? I would like to close some view windows that I opened accidentally.  See the image below:    Edit: another note: I tried searching for the solution, but only found things like "Join Area", which don't seem to work in this situation. How to get a list of applications installed in Ubuntu dash? Escape Key in the Chat I am travelling form Delhi (DEL) to San Francisco (SFO), I have to make a connection flight in Vienna that would take me to Frankfurt (FRA). My flight to SFO is from FRA, I have one ticket for entire journey and the flights are operated by Lufthansa or its subsidiaries.  Do I need a transit visa? My flight arrives at Vienna international airport and leaves from the same, and for second leg it arrives at Frankfurt international airport.  I asked this question as an addendum to my  but was advised to make a new post.  I hold Indian passport and valid US visa. How do you handle "that that"? The double "that" problem Unsung hero dilemma This is partly related to  question.  I ran some queries on odata for my work on Stack Overflow, and I have found that my statistics are the following ones:  Accepted answers: 148 Zero score accepted answers: 36 Percentage of total: 24,3%  I probably fit the idea of the Unsong hero badge, as I've mostly been active in  questions, from when it only had around 200 Questions until now.  To get the badge I could either try to get one of my accepted answers downvoted once, that would give me a 25% accept rate; I could also delete 4 of my accepted answers with 1 or more score. That would also give me the badge, but this just seems wrong: You are actually encouraging me to either try to get a down-vote on a good answer, or delete good answers.  So, should I delete good answers to receive a gold badge?  Update: It's not that I care much if I get a badge or not, it's only a badge after all and not why I spend time on Stackoverflow anyways. But it's not ideal [read: problem] that I'm encouraged to delete accepted answers or try to get downvotes to achieve a badge. Conventional parenting wisdom tells us to drive the fear of talking to strangers into our kids. Is this at all harmful though? Is there any adverse impact to a child's social development by doing this? How can you balance safety against fear? File has different name in terminal and Finder I've just downloaded the driver for my preferred trackball from Logitech. In the Finder, the Installer's filename is Logitech Control Center Installer.app. In the Terminal, ls shows LCC Installer.app. How did this happen? Identify a catastrophic sci fi story written before 1980: ruptured spleen, alien moon base, time and space travel, antimatter tool I read a sci fi short story sometime between 1974-1980 but it may have been written long before that.  I believe it was in a paper back anthology of sci fi stories, but I'm not certain.  I think the protagonist is facing the final climactic conflict when we meet him.  Most of the story is memories and flashbacks.  The first flashback is to his childhood.  He and his younger brother are sled riding.  His brother crashes, ruptures his spleen and dies.  He feels responsible and is wracked with guilt.  Much later, as an adult, he is exploring a long-deserted alien base on the moon.  There are unfamiliar artifacts on the base, including a time-travel device/vehicle, and a tool with an anti-matter tip.  It carves neat holes and eliminates matter simply by moving it through matter.  He accidentally drops the tool, which plummets unimpeded to the center of the moon.  He realizes that over time, it will consume and destroy the moon, which will be catastrophic for Earth.  He uses the time-travel device to travel to the moon at an earlier time so that he can prevent himself from dropping the tool.  He makes bigger problems for himself, forcing him to travel back further and further in time.  He travels so far back that he encounters the original alien inhabitants of the base.  Now we are at the present time in the story.  This is his final conflict, he has to escape, travel forward in time and resolve all of the problems he created.  Unfortunately, the alien inhabitants capture him, and the story ends.  Can anyone identify the story and author? Evaluate $\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin (t)^3)dt$ How do I catch a PHP fatal (`E_ERROR`) error? I can use set_error_handler() to catch most PHP errors, but it doesn't work for fatal (E_ERROR) errors, such as calling a function that doesn't exist. Is there another way to catch these errors?  I am trying to call mail() for all errors and am running PHP 5.2.3. Is it acceptable to say "We'll get back to you as quick as we can"? Is "quick" a flat adverb in this case? Is the trace of inverse matrix convex? Turn off close Facebook friend notification How to resize my dual-boot partitions I have a dual-boot laptop with both Windows 10 and Ubuntu 16.04.  Currently, the Windows side has too much disk space, and I want to resize things so that the Ubuntu side has more.  Firstly, I went into the Windows disk management and shrunk the Windows partition by 20GB. I then wanted to expand the Ubuntu partition, but it seemed like this option was greyed out.  Can I expand the Linux partition from Windows or do I need to be in Ubuntu or do I need to create a boot disk and do it that way?  Or do I need third party software?  Any help gratefully received. Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$ I am given the info that A is an invertible  m by m matrix and B is a m by n matrix. By solving for the null space $ABx=0$, I get $A^{-1}ABx=A^{-1}0$, therefore $Bx=0$. I concluded that the null spaces of A and AB must be equivalent, and therefore the nullity(AB) = nullity(B) = some number p. Therefore rank(AB) = n-p = rank(B)   (because both AB and B are m by n matrices).   Is this proof valid, specifically the null space step?