Please explain why $10$ raised to the power of $0$ ($10^0$) is equal to $1$
Numbers to the Power of Zero
When do you use the "this" keyword? Temperature in space Temperature is a measure of kinetic energy transferred to particles, henceforth,  being vacuum, temperature cannot be measured. But then, there is cosmic background radiation. It is the leftover heat from the Big Bang, but then heat in space doesn't make sense, how does this radiation, heat up space time when it technically cannot be heated up? Moreover why is it referred to as heat when it is approximately just $2.5$ Kelvin, which is just above absolute zero? How do I add a Pokestop to my area? How do I add a Pokestop to an area that has none? It is an area where there are tons of businesses but unless I drive about a mile from my work area there are no Pokestops.   I want to add one since we have 1000's of people in the work area, a lot of them play Pokemon Go, and we all can't leave work to drive a mile away to get to a Pokestop area.   Plus it would be nice to be able to capture Pokemon on our breaks. cant install or remove anything on 18.04 cause of DPKG error Screen goes white when posting a comment Render looks darker than Look Dev mode Will doing timelapses break my camera? I was planning to do some timelapses in the near future, until I realised that if I leave my camera taking pictures for a week or 2, I will soon reach the max number of shutter count and my camera would break.   Then I read from an unverified source that during timelapse the shutter doesn't move, so there is no way to break it. I am confused.   Is it possible to take timelapses without physically destroying the shutter in a month? In particular, I am interested in Canon 80D model. Extruding surface while keeping the shape here is the picture of what I would like to get(example nr. 2). I need the edge frame to be same in width and length. Also the extrusion is on surface (without depth) I tried extruding region, but it did not give me the result I wanted.   I know I could just adjust the scale and do it manually, but that would be eyeballing without achievign accuracy. I would like to know if it is possible to extrude or inset while keeping the shape (even edge space) Inverse of $f(x)=\sin(x)+x$ What is the inverse of   $$f(x)=\sin(x)+x.$$  I thought about it for a while but I couldn't figure it out and I couldn't find the answer on the internet.  What about  $$f(x)=\sin(a \cdot x)+x$$  where $a$ is a known real constant.  Thank you for taking the time to read this question! Sorry if this has been asked before... The definition of derivative of a function $f(x)$ is $$\lim_{h\to0} \frac{f(x+h)-f(x)}{h}$$  Using this definition, the derivative of $\sin\sqrt{x}$ will be:  $$\lim_{h\to0} \frac{\sin\sqrt{x+h}-\sin\sqrt{x}}{h}$$  $$\lim_{h\to 0} \frac{\cos\left(\frac{\sqrt{x+h}+\sqrt{x}}{2}\right)\sin\left(\frac{\sqrt{x+h}-\sqrt{x}}{2}\right)}{h}$$  Now i got stuck. How to find the limit or simplify this expression?  I get intuition that we have to use $$\lim_{x\to0}\frac{\sin x}{x} = 1$$  but that too is leading no where. I am unable to remove h from denominator.  NOTE  I know the derivative of $\sin\sqrt{x}$ is $\frac{\cos\sqrt{x}}{2\sqrt{x}}$ using chain rule, but this exercise was given to us for practice using division quotient. I create landing pages in order to launch PPC campaigns for my customers. However, I would like to host them all together under a sub-domain of MY website.   For example:  I want that someone who visits www.clientnumber2.com/landingpage could see the landing page and still the same URL www.clientnumber2.com/landingpage, but actually host it myself.  The same for client3, client4, and so on... When should I use the Visitor Design Pattern? Should 'using' directives be inside or outside the namespace? I have been running  over some C# code, and it keeps reporting that my using directives should be inside the namespace.  Is there a technical reason for putting the using directives inside instead of outside the namespace? Does anyone know of a good way to set up some sort of parental controls so that one user account is subject to them, but not another?  A couple of friends of mine use Ubuntu and have kids (7 to 10 years old) who use the family computer. They'd like to have some blocking of adult sites. They're not going to supervise all the time, which I know might be ideal, but there we go. And they're not particularly technical, so they don't want to have to run scripts to turn the parental controls on and off regularly, but they can cope with having different accounts for different people. I haven't found a great way of doing this. I am pretty technical, so I'm happy to spend some time at the command line to set it up, but then it needs to just work.  Please don't just link to DansGuardian. If your answer doesn't address the different user account aspect, I will vote it down. If you want to talk about general parental controls that apply to all users then please start a new question - I'm sure that plenty of people would be interested in it, and I'll link to it from this question. In document class book, and package caption, creating index with makeidx. Index entries for the main text and for footnotes collate properly; but those for captions create their own entries.  Example: for the tag \index{New York!Custom House!\textit{Cartouche}}, text and footnotes collate properly; but used in a caption, a new entry is created at the third level, and is also out-of-alphabetic-sequence. Note: the top level, and first sub are correct; only the second sub is duplicated.  How to get the caption index entries under the same entry? Android app crashes when clicking on the loading icon in notification pane App version 1.0.27  If you the notification pane and click on the loading icon while it's spinning, the app will cause the app to crash.  03-26 22:51:08.331 E/AndroidRuntime(5927): FATAL EXCEPTION: main 03-26 22:51:08.331 E/AndroidRuntime(5927): java.lang.ArrayIndexOutOfBoundsException: length=0; index=-1 03-26 22:51:08.331 E/AndroidRuntime(5927): at java.util.ArrayList.get(ArrayList.java:310) 03-26 22:51:08.331 E/AndroidRuntime(5927): at com.stackexchange.marvin.ui.BaseActivity$3.onItemClick(BaseActivity.java:266) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.widget.AdapterView.performItemClick(AdapterView.java:298) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.widget.AbsListView.performItemClick(AbsListView.java:1100) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.widget.AbsListView$PerformClick.run(AbsListView.java:2788) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.widget.AbsListView$1.run(AbsListView.java:3463) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.os.Handler.handleCallback(Handler.java:730) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.os.Handler.dispatchMessage(Handler.java:92) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.os.Looper.loop(Looper.java:137) 03-26 22:51:08.331 E/AndroidRuntime(5927): at android.app.ActivityThread.main(ActivityThread.java:5103) 03-26 22:51:08.331 E/AndroidRuntime(5927): at java.lang.reflect.Method.invokeNative(Native Method) 03-26 22:51:08.331 E/AndroidRuntime(5927): at java.lang.reflect.Method.invoke(Method.java:525) 03-26 22:51:08.331 E/AndroidRuntime(5927): at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:737) 03-26 22:51:08.331 E/AndroidRuntime(5927): at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:553) 03-26 22:51:08.331 E/AndroidRuntime(5927): at de.robv.android.xposed.XposedBridge.main(XposedBridge.java:126) 03-26 22:51:08.331 E/AndroidRuntime(5927): at dalvik.system.NativeStart.main(Native Method)   (Think I should calm down on finding bugs for a little while? :P) Is there a general way to change the font of a particular symbol without switching packages?  For example, suppose I'm using Computer Modern for my entire document, but I want the "subset" operator to look as it does in mathabx.  How can I redefine it to appear in this way? I am preparing a book for publication which contains the following passage:     Stromberg in Religious Liberalism in Eighteenth-Century England   (1954) noted that 'the critical moment in the emergence of a positive   spirit of reform...consisted in the awareness of evil as being social   and remediable. It begins about 1750.'   My proof reader (my wife) has picked this out suggesting it should be the past tense. However if I say It began about 1750 it seems to convey too much certainty about the exact date. I just want to convey an impression of it being something which emerges in the mid-eighteenth century. I believe use of the present tense is the way to go.   But what is this artifice called, this use of the present to convey mild uncertainty? Is there any SE Site where Questions related to Hacking are on-topic? Find conditional expectation from a 3-dimensional random vector?