I'm sorry if this is basic, but I've searched a lot and found none.  Is there a way to change the font that appears on the PDF? To Nanumgothic specifically? I've tried with TeXmaker and Texworks and couldn't figure how to do that...
I'm sure this is a newbie question, but I can't figure this out. I have tried to follow the advice here:  and here:   But I can not seem to be able to generate any font change. I either get no change or error messages.  Here is the output of one failed attempt to change the font to Times using this command:  \rmfamily \renewcommand{\rmdefault}{ptm}     Apparently I either don't have a correct package installed or...  The output says " Metric (TFM) file not found." but I am not sure where to go from there.
The direct sum $\oplus$ versus the cartesian product $\times$ In the case of abelian groups, I have been treating these two set operations as more or less indistinguishable. In early mathematics courses, one normally defines $A^n := A\times A\times\ldots\times A$; however in, for example, the fundamental theorem of finitely generated abelian groups, we normally write that every such group is isomorphic to one of the form $$ \mathbb{Z}^n \oplus \mathbb{Z}_{r_1} \oplus \cdots \oplus \mathbb{Z}_{r_t}  $$ where $\mathbb{Z}^n$ now means $\mathbb{Z}\oplus\mathbb{Z}\oplus\cdots\oplus\mathbb{Z}$.  From an intuition perspective, and in the sense of sets, is this more or less the same as $\mathbb{Z}\times\mathbb{Z}\times\cdots\times\mathbb{Z}$? (Bear in mind I am normally using these ideas in relation to homology groups.) Email Templates: Conditional Greeting Based on Time of Day How to check if Receiver is registered in Android? Prevent Serialization of Base Class How can I get a pure white background in jewelry photography, without losing sparkle and shine? I've read through several threads similar to this, but I'm looking for a comparison of two options here.   I currently take photos on a raised glass platform against a white foam board background and run about 300w of lights (3 100x LEDs @ 5000k, Home Depot Specials in softboxes and umbrellas). As you can imagine, it takes me about 15 minutes of post processing to achieve a perfect white background, and sometimes I have a particular photo that I am unable to get there.  I want to upgrade to either a photography table with a translucent background that I can place a speedlight under, or a cyclorama infinity background such as the MyStudio MS20. The latter option may require an upgrade to my lighting, which I am planning to do anyways.  The idea of course is to get a blown out 255 background with no post processing, other than color correction on the jewelry or product as needed. This would cut my time after the shoot to a ridiculously small amount of time.   Which option would make my life easier?   For reference, I currently use a D5300 with a Tamron 90mm f2.8 macro lens.  This is the best shot I got after quite a lot of effort, before and after processing:      Note that the silver is not shiny like it should be, and the sparkle on the gems is lost. I have two passports/nationalities. How do I use them when I travel? Proving that a number with digits 1...9 in some order, ending in 5, is not a perfect square. If "x" is a 9 digit number , which contains digits from 1 to 9 which ends in 5 . Prove that it can't be a perfect square ( digits are not to be repeated).  Please suggest the solution of this question. How can I get file extensions with JavaScript? If $(a,b)=1$ then prove $(a+b, ab)=1$. Let $a$ and $b$ be two integers such that $\left(a,b\right) = 1$. Prove that $\left(a+b, ab\right) = 1$.   $(a,b)=1$ means $a$ and $b$ have no prime factors in common  $ab$ is simply the product of factors of $a$ and factors of $b$.  Let's say $k\mid a+b$ where $k$ is some factor of $a$.  Then $ka=a+b$ and $ka-a=b$ and $a(k-l)=b$.  So $a(k-l)=b, \  a\mid a(k-1)$ [$a$ divides the left hand side] therefore $a\mid b$ [the right hand side].  But $(a,b)=1$ so $a$ cannot divide $b$.  We have a similar argument for $b$.  So $a+b$ is not divisible by any factors of $ab$.  Therefore, $(a+b, ab)=1$.  Would this be correct? Am I missing anything? Missing files (basic sty files) when TEXINPUTS is set Below is my files tree:  .../Doc/Tex/book.tex .../Doc/Tex/images/im.jpg .../Doc/TexBase/myTemplate.sty .../Doc/TexBase/baseImages/logo.jpg   On Windows it was enough to set TEXINPUTS evironment variable with some paths and then I was able to compile with:  pdflatex Tex/book.tex   my document book.tex which uses package myTemplate.sty And now im trying to do teh same on Ubuntu 18.04. When i move all things to one folder (book.tex and myTemplate.sty and folder with images) then compilation is succesfull. But i would like to keep my foder structure as it is more clearly. So i tried to export TEXINPUTS:  export TEXTINPUTS=.:./TexBase/   but my compilation fail because of unfound many sty-files wchich are part of texlive-latex-extra that i already installed. When i UNSET this variable - it compiles ok. So my question is: Am i correctly set TEXINPUTS variable? Maybe i should add some other paths? What is the path to those "latex basic STY files"? Evaluating $\lim\limits_{n\to\infty}(a_1^n+\dots+a_k^n)^{1\over n}$ where $a_1 \ge \cdots\ge a_k \ge 0$ Need to find $\lim\limits_{n\to\infty}(a_1^n+\dots+a_k^n)^{1\over n}$ Where $a_1\ge\dots\ge a_k\ge 0$  I thought about Cauchy Theorem on limit $\lim\limits_{n\to\infty}\dfrac{a_1+\dots+a_n}{n}=\lim a_n$ and something like what happen if all $a_i=0$ or $a_1=\dots=a_k$, but may be something I am thinking wrong?  Maybe it is too simple but I am not getting it; please help. I am reading separable extension. I don't quite understand why $\text{char} 0$ fields must be perfect. If $F$ is a $\text{char} 0$ field, $f(x)$ is an irreducible polynomial in $F[x]$. Then why $f$ must be separable? Assume $f$ has multiple roots, say $r$ is a multiple root of $f(x)$. Then $r$ is also a root of $f'(x)$. $r$ is in the splitting field of $f(x)$ over $F$, denote it as $E$. Then why $f$ must divide $f'$? I know $f$ is irreducible but I don't know how the argument goes on. Thanks for any help! Is it possible to create an iron door which responds to levers on both sides When I have a query that checks if a column of type uniqueidentifer does not exist in a table that has a null value then I get no results back. If the subquery does not return a null it works fine and it only happens when using not in.   I know I can just do a not null check in my subquery, but I am curious why this does not work.  Query Example:  select a.guid from tableA a where a.guid not in (select b.guid from tableB AS b)   Working Test:  select 1 where newid() not in (select newid())   Broken Test:  select 1 where newid() not in (select null) How does "Reputation" work? On Stack Exchange, users may gain a certain level of reputation.  What does reputation do? How can a user gain or lose reputation?   See also   in the Help Center  - Maximum amount of votes a user can use in a day and reputation requirements to vote.  - How to get an exact overview of the actions that got you your reputation.  - A full list of all privileges granted at each reputation level on all sites. Photons in expanding space: how is energy conserved? If a photon (wave package) redshifts (stretches) travelling in our expanding universe, is its energy reduced?  If so, where does that energy go? I almost always want the profile correct applied, but it's an extra step. Any ideas on how to apply these automatically? How can I resize an ext root partition at runtime? How can I increase the size of the root partition of a system at runtime?   I have a partition that is not allocated after the root partition (which is also ext4), how can I add that unallocated space to the space allocated to the root partition without having to shutdown the server? How can I configure the Ubuntu Dock to show windows only from the current workspace? Windows 10 Asks me to Enter a Password I am using Windows 10 Pro x64 on my personal laptop on which I have a single user account with no password. For some reason however, Windows 10 has started asking me to enter a password whenever I boot up my machine. All I have to do is press the button without entering anything, and I log in, but I would much rather skip this step in favor of an automatic sign-in. Why has this started happening only now? What can I do to stop this behavior?