My husband and I have co-signed for our son's car loan, and also he is listed on our car insurance coverage. If he gets in an accident, can we be sued?
I co signed on a bank loan to finance the purchase of a car for my brother in Florida.  Only his name is on title, registration and insurance policy. Would I be liable and can I be sued by another person if he were in an accident?
Without appealing to choice, can we prove that if $X$ is well-orderable, then so too is $2^X$? Without appealing to the axiom of choice, it can be shown that (Proposition:) if $X$ is well-orderable, then $2^X$ is totally-orderable.  Question: can we show the stronger result that if $X$ is well-orderable, then so too is $2^X$?  Proof of Proposition. Pick any well-ordering of $X$. Then the lexicographic order totally orders $2^X$.  More explicitly: for any two $f,g \in 2^X$, define $f &lt; g$ iff   there exists $x \in X$ such that $f(x) \neq g(x)$, and if $x \in X$ is minimal such that $f(x) \neq g(x)$, then $f(x)=0$ and $g(x)=1$.   It can be shown that $&lt;$ totally-orders $2^X$. How do I edit a file in /proc that can be viewed with cat, but is not editable by mousepad and abiword? Question list on profile page not vertically aligned There's something wrong with the vertical alignment on the :   (click to enlarge)  On the , which uses a similar list but without the Favorite column, the vertical alignment is correct.  (Tested in the latest Firefox, Safari and Chrome on macOS Catalina.) Prove that $a^3+b^3+c^3 \geq a^2b+b^2c+c^2a$ Let $a,b,c$ be positive real numbers. Prove that $a^3+b^3+c^3\geq a^2b+b^2c+c^2a$.   My (strange) proof:  $$ \begin{align*} a^3+b^3+c^3 &amp;\geq a^2b+b^2c+c^2a\\ \sum\limits_{a,b,c} a^3 &amp;\geq \sum\limits_{a,b,c} a^2b\\ \sum\limits_{a,b,c} a^2 &amp;\geq \sum\limits_{a,b,c} ab\\ a^2+b^2+c^2 &amp;\geq ab+bc+ca\\ 2a^2+2b^2+2c^2-2ab-2bc-2ca &amp;\geq 0\\ \left( a-b \right)^2 + \left( b-c \right)^2 + \left( c-a \right)^2 &amp;\geq 0 \end{align*} $$  Which is obviously true.    However, this is not a valid proof, is it? Because I could just as well have divided by $a^2$ rather than $a$:  $$ \begin{align*} \sum\limits_{a,b,c} a^3 &amp;\geq \sum\limits_{a,b,c} a^2b\\ \sum\limits_{a,b,c} a &amp;\geq \sum\limits_{a,b,c} b\\ a+b+c &amp;\geq a+b+c \end{align*} $$  Which is true, but it would imply that equality always holds, which is obviously false. So why can't I just divide in a cycling sum?  Edit: Please don't help me with the original inequality, I'll figure it out. Is TV harmful to my infant's development? Posting a Solution of a problem that You faced to Help Newbies About an Hour ago, I faced a problem and tried different ways to solve it.  At last I was going to post my Question on Stack Overflow, but the last trick which came in my mind worked, and the problem got resolved.    Now, if I want to post that problem on Stack Overflow with the solution which worked for me, for the purpose to help other newbies to get their answer if they face the same problem, what is the proper way of posting such solution to a problem? I need to print an image at a certain size. What dimensions and resolution should I use? (This question is meant to be a resource to direct others to given that this is a common question.)  Given the task of creating an image that will be printed at a certain size, what pixel dimensions and resolution should I be setting my file at? Which Stack Exchange site is best for AutoCAD questions like using Blender for graphical design? So light travels slower in glass (for example) than in a vacuum. What causes light to slow down? Or: How does it slow down? If light passes through the medium, is it not essentially traveling in the "vacuum" between the atoms? "Absolutely continuous random variable" vs. "Continuous random variable"? In the book Limit Theorems of Probability Theory by Valentin V. Petrov, I saw a distinction between the definitions of a distribution being &quot;continuous&quot; and &quot;absolutely continuous&quot;, which is stated as follows:  &quot;...The distribution of the random variable $X$ is said to be continuous if $P\left(X \in B\right)=0$ for any finite or countable set $B$ of points of the real line. It is said to be absolutely continuous if $P\left(X \in B\right)=0$ for all Borel sets $B$ of Lebesgue measure zero...&quot;  The concept I am familiar with is:  &quot;If a random variable has a continuous Cumulative Distribution Function, then it is absolutely continuous.&quot;  My questions are: are the two descriptions about &quot;absolute continuity&quot; in (1) and (2) talking about the same thing? If yes, how can I translate one explanation into the other one? Desktop folders won't open with clean install of 18.04 What is a good Hash function? I saw a lot of hash function and applications in my data structures courses in college, but I mostly got that it's pretty hard to make a good hash function. As a rule of thumb to avoid collisions my professor said that:  function Hash(key)   return key mod PrimeNumber end   (mod is the % operator in C and similar languages)  with the prime number to be the size of the hash table. I get that is a somewhat good function to avoid collisions and a fast one, but how can I make a better one? Is there better hash functions for string keys against numeric keys? Preface: Every couple of days there comes a question of this type, which is easy to solve with sed, but takes time to explain. I'm writing this question and answer, so I can later refer to this generic solution and only explain the adaption for the specific case. Feel free to contribute.  I have files with variable definitions. Variables consist of uppercase letters or underscore _ and their values follow after the :=. The values can contain other variables. This is Gnom.def:  NAME:=Gnom FULL_NAME:=$FIRST_NAME $NAME FIRST_NAME:=Sman STREET:=Mainstreet 42 TOWN:=Nowhere BIRTHDAY:=May 1st, 1999   Then there is another file form.txt with a template form:  $NAME Full name: $FULL_NAME Address: $STREET in $TOWN Birthday: $BIRTHDAY Don't be confused by $NAMES   Now I want a script which replaces the variables (marked with $ and the identifier) in the form by the definitions in the other file, recursively, if necessary, so I get this text back:  Gnom Full name: Sman Gnom Address: Mainstreet 42 in Nowhere Birthday: May 1st, 1999 Don't be confused by $NAMES   The last line is to ensure that no substrings of variables get replaced accidentally. My 3-month-old son has started sleeping through the night, with a vengeance. He sleeps for hours. And when he finally wakes up and I expect him to be starving, he's often still ready to happily play for a bit - say 1/2 hour to 45 min. Now, I know this isn't such normal behavior for a 3-month-old, and I'm definitely appreciating having my nights back, but I'm also a bit concerned - how long is the longest I should let him go without eating?  Edit (more details):  I used to try to stretch him and make his last feeding right before I went to sleep, so that I could take full advantage of his sleep-time. So we used to put him to bed about 12:30-1:00, and then head to sleep ourselves. He started off going about 6-7 hours... But a couple of weeks ago he started sleeping longer, and longer, and longer... Now he goes nearly 12 hours. He'll go to sleep at 12:30 AM and wake up at 12 PM or later. And he'll then happily play for another half hour, making about 12 hours of no-eating. I generally trust that I can rely on him to tell me when he's hungry, but I was wondering if there's a limit to how long I can let him go without eating... Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the instructor used "Introduction to Analysis" by Gaughan.   While it's a good book, I'm not sure it's suited for self study by itself.  I know it's a rigorous subject, but I'd like to try and find something that "dumbs down" the material a bit, then between the two books I might be able to make some headway. More options when flagging for migration I tried to install WPS Office on my laptop (ubuntu 16.10 Gnome, 64 bit) with  Gdebi installer but it said   Dependency is not satisfiable: libpng12-0   Then I tried to open this library as follows  sudo apt-get install libpng12-0   But I encountered an error:  Reading package lists... Done Building dependency tree        Reading state information... Done Package libpng12-0 is not available, but is referred to by another package. This may mean that the package is missing, has been obsoleted, or is only available from another source  E: Package 'libpng12-0' has no installation candidate   Can anyone help? Thanks a lot HP Easy Scan - "HP Scanner 3" will damage your computer My current employer has given me the opportunity to design my own GIS workstation. The problem is I have no idea what is important when it comes to hardware! I have been given a datasheet from Fujitsu which includes the latest CELSIUS M720 series workstations but the configuration includes about 30 different processors, graphics cards, and hard drives.  I will be working a lot with the ESRI desktop suite (spatial analyst and 3D analyst) and doing a fair amount of raster processing (DEMs, visibility analysis, etc.), but I also use the GDAL library, SAGA-GIS, Quantum GIS and others.  Does ArcGIS 10 actually use multiple cores?  I have the choice from 4 cores with 8 threads up to 8 cores with 8 threads - 16 threads?  Is SSD SATA III better than HDD SATA III?  The Celsius R920 supports up to 512 GB RAM. But what do I need?  It will probably be the last time I get a new workstation for the next 5 years, so I am curious what others have ordered or feel will be necessary for the coming years. Obviously the cloud isn't taking over as quick as they say! What happens to water level when ice XII melts? There exists this famous idea that if all floating icebergs melt, water level will stay the same (because the water replaced by ice is the volume of the melted ice). Now,   Is this always so, if you allow more exotic forms of ice (take e.g. ice XII with density 1.29) ? Is this always so on/in earth ?   EDIT:  I was looking a possibility that you would have water as a liquid that contains pieces of water as a solid. No land is assumed to exist here. "Ice" is always floating or sunken(if possible).  To reformulate, can Ice be sunken in water in any circumstance (pressure, temperature)?  EDIT 2:  Wikipedia: "Ice VII has a density of about 1.65 g cm-3 (at 2.5 GPa and 25°C)".   And water as an incompressible liquid has a density of 1 g cm-3. This means that ice VII is at the bottom of the "lake" and will expand when it melts. Is this true? And are there environments in earth where this (or similar) can happen?