Very basic question regarding taxes
Why do Americans have to file taxes, even if their only source of income is from a regular job?
I am sure there is something wrong i am doing but i just want someone to point it to me.  Why can't we say that $e^{\frac {\pi i}{3}} = \left(e^{\pi i}\right)^{\frac {1}{3}} = (-1)^{\frac {1}{3}} = -1$ Why do we have to calculate it by the formula as it is (which produces different value)  Another question is why can't we say that $ (-1)^{\frac {1}{2}} = \left(\left (-1\right)^{2}\right)^{\frac {1}{4}} = 1^{\frac {1}{4}} = 1$  Again i have to say that i know this is all wrong i just want to know why it is wrong This question has been answered before in many places but I just need some confirmation with my specific setup. I have Linux Mint installed and I just want a fresh Ubuntu 12.04 install to completely replace Mint. It's dual booted with Windows 7 and I want that to remain completely in tact.  Anyway, I'm currently running the Live CD installer. I've said I want to specify my own partitions and I'm at the following screen:     The list at the bottom expanded:     I confused by all the different partitions. Seems like I should just check the box beside sda5. But what about sda6? Do I just leave that alone?  Also just for confirmation, is the "right" way to replace Mint, or should I be deleting it first? How can I link to an external resource in a community-friendly way? I would like to help my fellow Stackizens, using material from my blog or other website.  But external links are sometimes viewed as excessive promotion.  From the FAQ:     Be careful, because the community   frowns on overt self-promotion and   tends to vote it down and flag it as   spam. Post good, relevant answers, and   if they happen to be about your   product or website, so be it. However,   you must disclose your affiliation in   your answers. Also, if a huge   percentage of your posts include a   mention of your product or website,   you're probably here for the wrong   reasons.   I have tried posting answers that reference my blog, and I have followed the above rules, but my answers still get flagged as spam.  How can I craft an answer that references my blog, website or other resource, but is still acceptable to the community? Starting digits of $2^n$. How to switch between Ubuntu and Windows 7 without a reboot I have installed windows 7 and then Ubuntu 11.04. Now I want to know how I can switch from Ubuntu to Windows 7 and from Windows 7 to Ubuntu without restarting the computer. I am aware it is common practice to standardize the features for ridge and lasso regression, however, would it ever be more practical to normalize the features on a (0,1) scale as an alternative to z-score standardization for these regression methods? Expression Functions for Lightning Web Components Why do you lose reputation for downvoting answers? bases and binary I can not figure this out.   I started off by making a table and putting the base(2) on one side, the number in the middle and the remainder in the third row and for 2010 I got 11111011010 but I cant find the next two numbers please help and please explain in detail.  Thank you =)   to express 2010 in base 2, we use exactly 8 ones and 3 zeros. find the next two integers in base 2 that use the same number of ones and zeros Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$ Show that  $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$  This is an exercise I was trying to do ( not homework ) and I got stuck as follows:  Working from $A \setminus ( B \setminus C )$:  $x \in A \wedge x \notin ( B \setminus C )$ $x \in A \wedge ((x \in B \wedge x \in C) \vee (x \notin B \wedge x \in C) \vee (x \notin B \wedge x \notin C) )$  At this point I'm not sure how to proceed.  Working from the other side $ ( A \setminus B) \cup ( A \cap C ) $:  $ x \in ( A \setminus B) \cup ( A \cap C ) $  $ x \in ( A \setminus B) \vee x \in ( A \cap C ) $  $ ( x \in A \wedge x \notin B ) \vee ( x \in A \wedge x \notin C ) $  $ x \in A \wedge (x \notin B \vee x \notin C ) $  $ x \in A \wedge x \notin ( B \cap C ) $  $ A \setminus ( B \cap C ) $  I could also use some formating tips like how display logical not and how to get the lines to display properly without blank lines inbetween. :-) Is centripetal acceleration mandatory for circular motion? Is it possible to have the dock in different positions in different desktop? Is it possible to have the dock in different positions in different desktops? In particular I'd like to change the settings between a normal desktop and a desktop where there's an app at full screen. In this way I'd keep the dock in lower side of the desktop when there's an app at full screen and vertically on the left side during normal use.  I have this problem that, sicne I usually have the dock vertically on the left, it pops out everytime i go to the far left in an app I'm using with full screen, and using this app I have to move the mouse to the left quite often. It is possible to make ls -l output the size field with digits grouped by thousands? If so, how?  For instance:  $ ls -l -rw-rw---- 1 dahl dahl 43,210,052 2012-01-01 21:52 test.py   (Note the commas in the size).  Maybe by modifying the LC_NUMERIC setting inside the locale I'm using (en_US.utf8)?  I'm on Kubuntu 12.04 LTS. How to use variables inside single quotes Arduino Negative Voltage Reading with Positive Ground I am trying to measure voltage &amp; current off a solar charge controller from panel, battery &amp; load simultaneously with my arduino. I have managed to achieve this by tying all the negatives together and using it as GND, however, when I do that the charge controller doesn't function properly and when I switch to off-mode the loads still run. After checking the instruction manual further, I found out that the positives are shared common between Pan, Bat, Load. This was confirmed with a multimeter.   So now what I am thinking of doing is using the positive from the battery as the GND reference and then measuring all other voltages (through voltage dividers with respect to the GND). The voltages should then range between -17V to 0V.   However, I have read that the analog input pins are not able to read negative voltages, and with respect to the positive GND, the Analog inputs will all be negative.   EDIT: I was thinking of using an amplifier to invert positive ground to a negative ground, meaning I could measure all the positive sides of the voltages. But after getting answers from you guys it seems I may not have to use an amplifier and a voltage divider may suffice. I have currently included a 2 resistor voltage divider between each analog input, +5V source, Vmeasure which you can see in the diagram below.  According to my calculations, if this works, @-17V I should see 0.6V @ analog input. @0V I should see 4V at analog input.   I'd appreciate feedback on this circuit, and below in the second image I've also included a piece of another method suggested by @jonk (thanks), and would be interested in knowing what the benefits are of method B) over method A)  Thanks!  Ps. the ameters are there in place of ACS712 current sensors which also go into analog input pins.   Method A)        &ndash; Schematic created using   Method B (EDIT: This method has worked, I am still yet to test method A) thanks @Jonk)) For reasons both complex and confusing, I would like to caption a longtable without incrementing the table counter in the process.  I want to have two consecutive longtable environments to be captioned with identical table numbers; i.e. one longtable captioned "Table x.y: Data Set (Part A)" and one captioned "Table x.y: Data Set (Part B)", with x.y being identical for both tables.  Apparently however, even \caption*{} command bumps table. I am a bit at a loss here.  Note: I know that the xtab package would enable me to have one long table with switches of headers and captions mid-table. However I got a (different) problem with that package, akin to  but sadly not solved by egreg's answer there; so this question should be considered longtable-only as xtab, supertabular etc. don't float my boat right now. :-( Imagine a battery with the positive terminal connected to ground.  The positive side has a high eletrical potential, ground obviously has a lower electric potential.  Electricity wants to seek a lower potential, and there's no significant resistance between the terminal and the ground.  Shouldn't electricity flow?  I know it doesn't but I don't understand why.  I know you have to close the loop, but why is this necessary? Recovering a password for a Word 2007 document Auto-run scripts security options We have a preferences option to enable auto-run of python scripts when opening blend files. We can also add paths that are excluded from auto-running scripts. Then we have a cli options to enable or disable auto-running scripts and to bypass the startup.blend with --factory-startup.  In regard to auto-running scripts which of these options overrides all others?  If my startup.blend disables auto-run, can a python script be run from the cli to enable auto-run for the blend being opened?  Does --factory-startup bypass my auto-run settings? A text says:     The surface tension of a liquid results from an imbalance of intermolecular attractive forces, the cohesive forces between molecules:   A molecule in the bulk liquid experiences cohesive forces with other molecules in all directions.   A molecule at the surface of a liquid experiences only net inward cohesive forces   If this is the case: Why is surface tension considered or experienced as a force parallel to the interface while it is so obvious that it must be perpendicular to it?